iProverMo---2.5-0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 19:15:32 EDT 2022

% Result   : Unsatisfiable 43.72s 43.06s
% Output   : CNFRefutation 43.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_Yahalom_OKeyWithNonce__Says_2,axiom,
    c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_ONonce(V_NB))))),V_W)),V_evs,tc_Event_Oevent)),
    input ).

fof(cls_Yahalom_OKeyWithNonce__Says_2_0,plain,
    ! [V_A,V_K,V_NB,V_U,V_V,V_W,V_evs] :
      ( c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_ONonce(V_NB))))),V_W)),V_evs,tc_Event_Oevent))
      | $false ),
    inference(orientation,[status(thm)],[cls_Yahalom_OKeyWithNonce__Says_2]) ).

cnf(cls_Public_Ospies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
    input ).

fof(cls_Public_Ospies__pubK_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Ospies__pubK_0]) ).

cnf(cls_Public_OshrK__neq__pubK_0,axiom,
    c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A),
    input ).

fof(cls_Public_OshrK__neq__pubK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK__neq__pubK_0]) ).

cnf(cls_Public_OshrK__neq__priK_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A),
    input ).

fof(cls_Public_OshrK__neq__priK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK__neq__priK_0]) ).

cnf(cls_Public_OshrK__in__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_Public_OshrK__in__used_0_0,plain,
    ! [V_A,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK__in__used_0]) ).

cnf(cls_Public_OshrK__in__knows_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
    input ).

fof(cls_Public_OshrK__in__knows_0_0,plain,
    ! [V_A,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK__in__knows_0]) ).

cnf(cls_Public_OshrK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg),
    input ).

fof(cls_Public_OshrK__in__initState_0_0,plain,
    ! [V_A] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK__in__initState_0]) ).

cnf(cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0,axiom,
    c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0_0,plain,
    ! [V_X] :
      ( c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0]) ).

cnf(cls_Public_OpublicKey__neq__privateKey_0,axiom,
    c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),
    input ).

fof(cls_Public_OpublicKey__neq__privateKey_0_0,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpublicKey__neq__privateKey_0]) ).

cnf(cls_Public_OpublicKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_Public_OpublicKey__into__used_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpublicKey__into__used_0]) ).

cnf(cls_Public_OpublicKey__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg),
    input ).

fof(cls_Public_OpublicKey__in__initState_0_0,plain,
    ! [V_A,V_B,V_b] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpublicKey__in__initState_0]) ).

cnf(cls_Public_OpubK__neq__shrK_0,axiom,
    c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
    input ).

fof(cls_Public_OpubK__neq__shrK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpubK__neq__shrK_0]) ).

cnf(cls_Public_OprivateKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_Public_OprivateKey__into__used_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OprivateKey__into__used_0]) ).

cnf(cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H),
    input ).

fof(cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0_0,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0]) ).

cnf(cls_Public_OpriK__neq__shrK_0,axiom,
    c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)),
    input ).

fof(cls_Public_OpriK__neq__shrK_0_0,plain,
    ! [V_A,V_C,V_b] :
      ( c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpriK__neq__shrK_0]) ).

cnf(cls_Public_OpriK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg),
    input ).

fof(cls_Public_OpriK__in__initState_0_0,plain,
    ! [V_A,V_b] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpriK__in__initState_0]) ).

cnf(cls_Public_OpriEK__noteq__shrK_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,V_A)) != c_Public_OshrK(V_B),
    input ).

fof(cls_Public_OpriEK__noteq__shrK_0_0,plain,
    ! [V_A,V_B] :
      ( c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,V_A)) != c_Public_OshrK(V_B)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OpriEK__noteq__shrK_0]) ).

cnf(cls_Public_Onot__symKeys__pubK_0,axiom,
    ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_Public_Onot__symKeys__pubK_0_0,plain,
    ! [V_A,V_b] :
      ( ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Onot__symKeys__pubK_0]) ).

cnf(cls_Public_Onot__symKeys__priK_0,axiom,
    ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat),
    input ).

fof(cls_Public_Onot__symKeys__priK_0_0,plain,
    ! [V_A,V_b] :
      ( ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Onot__symKeys__priK_0]) ).

cnf(cls_Public_OkeysFor__parts__initState_0,axiom,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C))) = c_emptyset,
    input ).

fof(cls_Public_OkeysFor__parts__initState_0_0,plain,
    ! [V_C] :
      ( c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C))) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OkeysFor__parts__initState_0]) ).

cnf(cls_Public_Okeymode_Osize__2_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0,
    input ).

fof(cls_Public_Okeymode_Osize__2_0_0,plain,
    ( c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Osize__2_0]) ).

cnf(cls_Public_Okeymode_Osize__1_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0,
    input ).

fof(cls_Public_Okeymode_Osize__1_0_0,plain,
    ( c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Osize__1_0]) ).

cnf(cls_Public_Okeymode_Orecs__2_0,axiom,
    c_Public_Okeymode_Okeymode__rec(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y,
    input ).

fof(cls_Public_Okeymode_Orecs__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Public_Okeymode_Okeymode__rec(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Orecs__2_0]) ).

cnf(cls_Public_Okeymode_Orecs__1_0,axiom,
    c_Public_Okeymode_Okeymode__rec(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y,
    input ).

fof(cls_Public_Okeymode_Orecs__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Public_Okeymode_Okeymode__rec(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Orecs__1_0]) ).

cnf(cls_Public_Okeymode_Odistinct__2_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    input ).

fof(cls_Public_Okeymode_Odistinct__2_0_0,plain,
    ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature
    | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Odistinct__2_0]) ).

cnf(cls_Public_Okeymode_Odistinct__1_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    input ).

fof(cls_Public_Okeymode_Odistinct__1_0_0,plain,
    ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption
    | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Odistinct__1_0]) ).

cnf(cls_Public_Okeymode_Ocases__2_0,axiom,
    c_Public_Okeymode_Okeymode__case(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y,
    input ).

fof(cls_Public_Okeymode_Ocases__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Public_Okeymode_Okeymode__case(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Ocases__2_0]) ).

cnf(cls_Public_Okeymode_Ocases__1_0,axiom,
    c_Public_Okeymode_Okeymode__case(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y,
    input ).

fof(cls_Public_Okeymode_Ocases__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Public_Okeymode_Okeymode__case(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Okeymode_Ocases__1_0]) ).

cnf(cls_Public_OinvKey__shrK_0,axiom,
    c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A),
    input ).

fof(cls_Public_OinvKey__shrK_0_0,plain,
    ! [V_A] :
      ( c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OinvKey__shrK_0]) ).

cnf(cls_Public_Oanalz__spies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg),
    input ).

fof(cls_Public_Oanalz__spies__pubK_0_0,plain,
    ! [V_A,V_b,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_Oanalz__spies__pubK_0]) ).

cnf(cls_Public_ONonce__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    input ).

fof(cls_Public_ONonce__notin__used__empty_0_0,plain,
    ! [V_N] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_ONonce__notin__used__empty_0]) ).

cnf(cls_Public_ONonce__notin__initState_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
    input ).

fof(cls_Public_ONonce__notin__initState_0_0,plain,
    ! [V_B,V_N] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_ONonce__notin__initState_0]) ).

cnf(cls_Public_OCrypt__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    input ).

fof(cls_Public_OCrypt__notin__used__empty_0_0,plain,
    ! [V_K,V_X] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Public_OCrypt__notin__used__empty_0]) ).

cnf(cls_Message_Oparts__synth_0,axiom,
    c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__synth_0_0,plain,
    ! [V_H] :
      ( c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__synth_0]) ).

cnf(cls_Message_Oparts__insert__Number_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Number_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Number_0]) ).

cnf(cls_Message_Oparts__insert__Nonce_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Nonce_0]) ).

cnf(cls_Message_Oparts__insert__MPair_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__MPair_0]) ).

cnf(cls_Message_Oparts__insert__Key_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Key_0_0,plain,
    ! [V_H,V_K] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Key_0]) ).

cnf(cls_Message_Oparts__insert__Hash_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Hash_0]) ).

cnf(cls_Message_Oparts__insert__HPair_0,axiom,
    c_Message_Oparts(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__HPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_Oparts(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__HPair_0]) ).

cnf(cls_Message_Oparts__insert__Crypt_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Crypt_0_0,plain,
    ! [V_H,V_K,V_X] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Crypt_0]) ).

cnf(cls_Message_Oparts__insert__Agent_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__insert__Agent_0_0,plain,
    ! [V_H,V_agt] :
      ( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__insert__Agent_0]) ).

cnf(cls_Message_Oparts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_Message_Oparts__idem_0_0,plain,
    ! [V_H] :
      ( c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__idem_0]) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_Message_Oparts__analz_0_0,plain,
    ! [V_H] :
      ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__analz_0]) ).

cnf(cls_Message_OkeysFor__insert__HPair_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__HPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_OkeysFor(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__HPair_0]) ).

cnf(cls_Message_Oanalz__synth__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__synth__Un_0_0,plain,
    ! [V_G,V_H] :
      ( c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__synth__Un_0]) ).

cnf(cls_Message_Oanalz__synth_0,axiom,
    c_Message_Oanalz(c_Message_Osynth(V_H)) = c_union(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__synth_0_0,plain,
    ! [V_H] :
      ( c_Message_Oanalz(c_Message_Osynth(V_H)) = c_union(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__synth_0]) ).

cnf(cls_Message_Oanalz__parts_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    input ).

fof(cls_Message_Oanalz__parts_0_0,plain,
    ! [V_H] :
      ( c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__parts_0]) ).

cnf(cls_Message_Oanalz__insert__Number_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__Number_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__Number_0]) ).

cnf(cls_Message_Oanalz__insert__Nonce_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__Nonce_0]) ).

cnf(cls_Message_Oanalz__insert__MPair_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__MPair_0]) ).

cnf(cls_Message_Oanalz__insert__Hash_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__Hash_0]) ).

cnf(cls_Message_Oanalz__insert__HPair_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__HPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_Oanalz(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__HPair_0]) ).

cnf(cls_Message_Oanalz__insert__Agent_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oanalz__insert__Agent_0_0,plain,
    ! [V_H,V_agt] :
      ( c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__insert__Agent_0]) ).

cnf(cls_Message_Oanalz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
    input ).

fof(cls_Message_Oanalz__idem_0_0,plain,
    ! [V_H] :
      ( c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__idem_0]) ).

cnf(cls_Message_Oanalz__empty_0,axiom,
    c_Message_Oanalz(c_emptyset) = c_emptyset,
    input ).

fof(cls_Message_Oanalz__empty_0_0,plain,
    ( c_Message_Oanalz(c_emptyset) = c_emptyset
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__empty_0]) ).

cnf(cls_Message_Oanalz__analz__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),
    input ).

fof(cls_Message_Oanalz__analz__Un_0_0,plain,
    ! [V_G,V_H] :
      ( c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg))
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oanalz__analz__Un_0]) ).

cnf(cls_Message_ONumber__synth_0,axiom,
    c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_ONumber__synth_0_0,plain,
    ! [V_H,V_n] :
      ( c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_ONumber__synth_0]) ).

cnf(cls_Message_OMPair__eq__HPair_2,axiom,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x),
    input ).

fof(cls_Message_OMPair__eq__HPair_2_0,plain,
    ! [V_X,V_x] :
      ( c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OMPair__eq__HPair_2]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0_0,plain,
    ! [V_N,V_X,V_Y] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0_0,plain,
    ! [V_N,V_X,V_Y] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0_0,plain,
    ! [V_K,V_X,V_Y] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0_0,plain,
    ! [V_X,V_Y,V_Z] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0_0,plain,
    ! [V_K,V_X,V_X_H,V_Y] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A),
    input ).

fof(cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0_0,plain,
    ! [V_A,V_X,V_Y] :
      ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0]) ).

cnf(cls_Message_OHPair__neqs__6_0,axiom,
    c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__6_0_0,plain,
    ! [V_K,V_X,V_X_H,V_Y] :
      ( c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__6_0]) ).

cnf(cls_Message_OHPair__neqs__5_0,axiom,
    c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__5_0_0,plain,
    ! [V_X,V_Y,V_Z] :
      ( c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__5_0]) ).

cnf(cls_Message_OHPair__neqs__4_0,axiom,
    c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__4_0_0,plain,
    ! [V_K,V_X,V_Y] :
      ( c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__4_0]) ).

cnf(cls_Message_OHPair__neqs__3_0,axiom,
    c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__3_0_0,plain,
    ! [V_N,V_X,V_Y] :
      ( c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__3_0]) ).

cnf(cls_Message_OHPair__neqs__2_0,axiom,
    c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__2_0_0,plain,
    ! [V_N,V_X,V_Y] :
      ( c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__2_0]) ).

cnf(cls_Message_OHPair__neqs__1_0,axiom,
    c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y),
    input ).

fof(cls_Message_OHPair__neqs__1_0_0,plain,
    ! [V_A,V_X,V_Y] :
      ( c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__neqs__1_0]) ).

cnf(cls_Message_OHPair__eq__MPair_2,axiom,
    c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x),
    input ).

fof(cls_Message_OHPair__eq__MPair_2_0,plain,
    ! [V_X,V_x] :
      ( c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OHPair__eq__MPair_2]) ).

cnf(cls_Message_OAgent__synth_0,axiom,
    c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_OAgent__synth_0_0,plain,
    ! [V_A,V_H] :
      ( c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OAgent__synth_0]) ).

cnf(cls_Event_Oused__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_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_Event_Oused__Says_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oused__Says_0]) ).

cnf(cls_Event_Oused__Notes_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg),
    input ).

fof(cls_Event_Oused__Notes_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oused__Notes_0]) ).

cnf(cls_Event_Oused__Gets_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs),
    input ).

fof(cls_Event_Oused__Gets_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oused__Gets_0]) ).

cnf(cls_Event_Oknows__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_insert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
    input ).

fof(cls_Event_Oknows__Spy__Says_0_0,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_insert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oknows__Spy__Says_0]) ).

cnf(cls_Event_Oknows__Spy__Gets_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),
    input ).

fof(cls_Event_Oknows__Spy__Gets_0_0,plain,
    ! [V_A,V_X,V_evs] :
      ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oknows__Spy__Gets_0]) ).

cnf(cls_Event_Oknows_Oknows__Nil_0,axiom,
    c_Event_Oknows(V_A,c_List_Olist_ONil) = c_Event_OinitState(V_A),
    input ).

fof(cls_Event_Oknows_Oknows__Nil_0_0,plain,
    ! [V_A] :
      ( c_Event_Oknows(V_A,c_List_Olist_ONil) = c_Event_OinitState(V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oknows_Oknows__Nil_0]) ).

cnf(cls_Event_Oevent_Osize__3_0,axiom,
    c_Nat_Osize(c_Event_Oevent_ONotes(V_agent,V_msg),tc_Event_Oevent) = c_0,
    input ).

fof(cls_Event_Oevent_Osize__3_0_0,plain,
    ! [V_agent,V_msg] :
      ( c_Nat_Osize(c_Event_Oevent_ONotes(V_agent,V_msg),tc_Event_Oevent) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Osize__3_0]) ).

cnf(cls_Event_Oevent_Osize__2_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OGets(V_agent,V_msg),tc_Event_Oevent) = c_0,
    input ).

fof(cls_Event_Oevent_Osize__2_0_0,plain,
    ! [V_agent,V_msg] :
      ( c_Nat_Osize(c_Event_Oevent_OGets(V_agent,V_msg),tc_Event_Oevent) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Osize__2_0]) ).

cnf(cls_Event_Oevent_Osize__1_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),tc_Event_Oevent) = c_0,
    input ).

fof(cls_Event_Oevent_Osize__1_0_0,plain,
    ! [V_agent1,V_agent2,V_msg] :
      ( c_Nat_Osize(c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),tc_Event_Oevent) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Osize__1_0]) ).

cnf(cls_Event_Oevent_Odistinct__6_0,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
    input ).

fof(cls_Event_Oevent_Odistinct__6_0_0,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__6_0]) ).

cnf(cls_Event_Oevent_Odistinct__5_0,axiom,
    c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    input ).

fof(cls_Event_Oevent_Odistinct__5_0_0,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__5_0]) ).

cnf(cls_Event_Oevent_Odistinct__4_0,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    input ).

fof(cls_Event_Oevent_Odistinct__4_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__4_0]) ).

cnf(cls_Event_Oevent_Odistinct__3_0,axiom,
    c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    input ).

fof(cls_Event_Oevent_Odistinct__3_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__3_0]) ).

cnf(cls_Event_Oevent_Odistinct__2_0,axiom,
    c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    input ).

fof(cls_Event_Oevent_Odistinct__2_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__2_0]) ).

cnf(cls_Event_Oevent_Odistinct__1_0,axiom,
    c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
    input ).

fof(cls_Event_Oevent_Odistinct__1_0_0,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Event_Oevent_Odistinct__1_0]) ).

cnf(cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    input ).

fof(cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0_0,plain,
    ( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
    | $false ),
    inference(orientation,[status(thm)],[cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0]) ).

cnf(cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    input ).

fof(cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0_0,plain,
    ( ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)
    | $false ),
    inference(orientation,[status(thm)],[cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0]) ).

cnf(cls_Message_Ostrange__Un__eq_0,axiom,
    c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a),
    input ).

fof(cls_Message_Ostrange__Un__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Ostrange__Un__eq_0]) ).

cnf(cls_Message_Oparts__empty_0,axiom,
    c_Message_Oparts(c_emptyset) = c_emptyset,
    input ).

fof(cls_Message_Oparts__empty_0_0,plain,
    ( c_Message_Oparts(c_emptyset) = c_emptyset
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__empty_0]) ).

cnf(cls_Message_Oparts__emptyE_0,axiom,
    ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__emptyE_0_0,plain,
    ! [V_X] :
      ( ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__emptyE_0]) ).

cnf(cls_Message_Oparts__Un_0,axiom,
    c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),
    input ).

fof(cls_Message_Oparts__Un_0_0,plain,
    ! [V_G,V_H] :
      ( c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oparts__Un_0]) ).

cnf(cls_Message_Omsg_Osize__7_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OCrypt(V_nat,V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    input ).

fof(cls_Message_Omsg_Osize__7_0_0,plain,
    ! [V_msg,V_nat] :
      ( c_Nat_Osize(c_Message_Omsg_OCrypt(V_nat,V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__7_0]) ).

cnf(cls_Message_Omsg_Osize__6_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OMPair(V_msg1,V_msg2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(V_msg1,tc_Message_Omsg),c_Nat_Osize(V_msg2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat),
    input ).

fof(cls_Message_Omsg_Osize__6_0_0,plain,
    ! [V_msg1,V_msg2] :
      ( c_Nat_Osize(c_Message_Omsg_OMPair(V_msg1,V_msg2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(V_msg1,tc_Message_Omsg),c_Nat_Osize(V_msg2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__6_0]) ).

cnf(cls_Message_Omsg_Osize__5_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OHash(V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    input ).

fof(cls_Message_Omsg_Osize__5_0_0,plain,
    ! [V_msg] :
      ( c_Nat_Osize(c_Message_Omsg_OHash(V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__5_0]) ).

cnf(cls_Message_Omsg_Osize__4_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OKey(V_nat),tc_Message_Omsg) = c_0,
    input ).

fof(cls_Message_Omsg_Osize__4_0_0,plain,
    ! [V_nat] :
      ( c_Nat_Osize(c_Message_Omsg_OKey(V_nat),tc_Message_Omsg) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__4_0]) ).

cnf(cls_Message_Omsg_Osize__3_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONonce(V_nat),tc_Message_Omsg) = c_0,
    input ).

fof(cls_Message_Omsg_Osize__3_0_0,plain,
    ! [V_nat] :
      ( c_Nat_Osize(c_Message_Omsg_ONonce(V_nat),tc_Message_Omsg) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__3_0]) ).

cnf(cls_Message_Omsg_Osize__2_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONumber(V_nat),tc_Message_Omsg) = c_0,
    input ).

fof(cls_Message_Omsg_Osize__2_0_0,plain,
    ! [V_nat] :
      ( c_Nat_Osize(c_Message_Omsg_ONumber(V_nat),tc_Message_Omsg) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__2_0]) ).

cnf(cls_Message_Omsg_Osize__1_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OAgent(V_agent),tc_Message_Omsg) = c_0,
    input ).

fof(cls_Message_Omsg_Osize__1_0_0,plain,
    ! [V_agent] :
      ( c_Nat_Osize(c_Message_Omsg_OAgent(V_agent),tc_Message_Omsg) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Omsg_Osize__1_0]) ).

cnf(cls_Message_OkeysFor__insert__Number_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__Number_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Number_0]) ).

cnf(cls_Message_OkeysFor__insert__Nonce_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__Nonce_0_0,plain,
    ! [V_H,V_N] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Nonce_0]) ).

cnf(cls_Message_OkeysFor__insert__MPair_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__MPair_0_0,plain,
    ! [V_H,V_X,V_Y] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__MPair_0]) ).

cnf(cls_Message_OkeysFor__insert__Key_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__Key_0_0,plain,
    ! [V_H,V_K] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Key_0]) ).

cnf(cls_Message_OkeysFor__insert__Hash_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__Hash_0_0,plain,
    ! [V_H,V_X] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Hash_0]) ).

cnf(cls_Message_OkeysFor__insert__Crypt_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat),
    input ).

fof(cls_Message_OkeysFor__insert__Crypt_0_0,plain,
    ! [V_H,V_K,V_X] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Crypt_0]) ).

cnf(cls_Message_OkeysFor__insert__Agent_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
    input ).

fof(cls_Message_OkeysFor__insert__Agent_0_0,plain,
    ! [V_A,V_H] :
      ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__insert__Agent_0]) ).

cnf(cls_Message_OkeysFor__empty_0,axiom,
    c_Message_OkeysFor(c_emptyset) = c_emptyset,
    input ).

fof(cls_Message_OkeysFor__empty_0_0,plain,
    ( c_Message_OkeysFor(c_emptyset) = c_emptyset
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__empty_0]) ).

cnf(cls_Message_OkeysFor__Un_0,axiom,
    c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat),
    input ).

fof(cls_Message_OkeysFor__Un_0_0,plain,
    ! [V_H,V_H_H] :
      ( c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OkeysFor__Un_0]) ).

cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
    c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
    input ).

fof(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0_0,plain,
    ! [V_y] :
      ( c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]) ).

cnf(cls_Message_Oagent_Osize__3_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0,
    input ).

fof(cls_Message_Oagent_Osize__3_0_0,plain,
    ( c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Osize__3_0]) ).

cnf(cls_Message_Oagent_Osize__2_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OFriend(V_nat),tc_Message_Oagent) = c_0,
    input ).

fof(cls_Message_Oagent_Osize__2_0_0,plain,
    ! [V_nat] :
      ( c_Nat_Osize(c_Message_Oagent_OFriend(V_nat),tc_Message_Oagent) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Osize__2_0]) ).

cnf(cls_Message_Oagent_Osize__1_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0,
    input ).

fof(cls_Message_Oagent_Osize__1_0_0,plain,
    ( c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Osize__1_0]) ).

cnf(cls_Message_Oagent_Odistinct__6_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
    input ).

fof(cls_Message_Oagent_Odistinct__6_0_0,plain,
    ! [V_nat] :
      ( c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__6_0]) ).

cnf(cls_Message_Oagent_Odistinct__5_0,axiom,
    c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
    input ).

fof(cls_Message_Oagent_Odistinct__5_0_0,plain,
    ! [V_nat] :
      ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__5_0]) ).

cnf(cls_Message_Oagent_Odistinct__4_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    input ).

fof(cls_Message_Oagent_Odistinct__4_0_0,plain,
    ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__4_0]) ).

cnf(cls_Message_Oagent_Odistinct__3_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    input ).

fof(cls_Message_Oagent_Odistinct__3_0_0,plain,
    ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy
    | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__3_0]) ).

cnf(cls_Message_Oagent_Odistinct__2_0,axiom,
    c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
    input ).

fof(cls_Message_Oagent_Odistinct__2_0_0,plain,
    ! [V_nat_H] :
      ( c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__2_0]) ).

cnf(cls_Message_Oagent_Odistinct__1_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
    input ).

fof(cls_Message_Oagent_Odistinct__1_0_0,plain,
    ! [V_nat_H] :
      ( c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_Message_Oagent_Odistinct__1_0]) ).

cnf(cls_Transitive__Closure_Otrancl__reflcl_0,axiom,
    c_Transitive__Closure_Otrancl(c_union(V_r,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a),
    input ).

fof(cls_Transitive__Closure_Otrancl__reflcl_0_0,plain,
    ! [T_a,V_r] :
      ( c_Transitive__Closure_Otrancl(c_union(V_r,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Otrancl__reflcl_0]) ).

cnf(cls_Transitive__Closure_Otrancl__range_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a),
    input ).

fof(cls_Transitive__Closure_Otrancl__range_0_0,plain,
    ! [T_a,V_r] :
      ( c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Otrancl__range_0]) ).

cnf(cls_Transitive__Closure_Otrancl__empty_0,axiom,
    c_Transitive__Closure_Otrancl(c_emptyset,T_a) = c_emptyset,
    input ).

fof(cls_Transitive__Closure_Otrancl__empty_0_0,plain,
    ! [T_a] :
      ( c_Transitive__Closure_Otrancl(c_emptyset,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Otrancl__empty_0]) ).

cnf(cls_Transitive__Closure_Otrancl__domain_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a),
    input ).

fof(cls_Transitive__Closure_Otrancl__domain_0_0,plain,
    ! [T_a,V_r] :
      ( c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Otrancl__domain_0]) ).

cnf(cls_Transitive__Closure_Ortrancl__reflcl_0,axiom,
    c_Transitive__Closure_Ortrancl(c_union(V_R,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a),
    input ).

fof(cls_Transitive__Closure_Ortrancl__reflcl_0_0,plain,
    ! [T_a,V_R] :
      ( c_Transitive__Closure_Ortrancl(c_union(V_R,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl__reflcl_0]) ).

cnf(cls_Transitive__Closure_Ortrancl__idemp__self__comp_0,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a),
    input ).

fof(cls_Transitive__Closure_Ortrancl__idemp__self__comp_0_0,plain,
    ! [T_a,V_R] :
      ( c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl__idemp__self__comp_0]) ).

cnf(cls_Transitive__Closure_Ortrancl__idemp_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a),
    input ).

fof(cls_Transitive__Closure_Ortrancl__idemp_0_0,plain,
    ! [T_a,V_r] :
      ( c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl__idemp_0]) ).

cnf(cls_Transitive__Closure_Ortrancl__empty_0,axiom,
    c_Transitive__Closure_Ortrancl(c_emptyset,T_a) = c_Relation_OId,
    input ).

fof(cls_Transitive__Closure_Ortrancl__empty_0_0,plain,
    ! [T_a] :
      ( c_Transitive__Closure_Ortrancl(c_emptyset,T_a) = c_Relation_OId
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl__empty_0]) ).

cnf(cls_Transitive__Closure_Oreflcl__trancl_0,axiom,
    c_union(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId,tc_prod(T_a,T_a)) = c_Transitive__Closure_Ortrancl(V_r,T_a),
    input ).

fof(cls_Transitive__Closure_Oreflcl__trancl_0_0,plain,
    ! [T_a,V_r] :
      ( c_union(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId,tc_prod(T_a,T_a)) = c_Transitive__Closure_Ortrancl(V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Oreflcl__trancl_0]) ).

cnf(cls_Transitive__Closure_ORange__rtrancl_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV,
    input ).

fof(cls_Transitive__Closure_ORange__rtrancl_0_0,plain,
    ! [T_a,V_R] :
      ( c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_ORange__rtrancl_0]) ).

cnf(cls_Transitive__Closure_ODomain__rtrancl_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV,
    input ).

fof(cls_Transitive__Closure_ODomain__rtrancl_0_0,plain,
    ! [T_a,V_R] :
      ( c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_ODomain__rtrancl_0]) ).

cnf(cls_Sum__Type_OUNIV__Plus__UNIV_0,axiom,
    c_Sum__Type_OPlus(c_UNIV,c_UNIV,T_a,T_b) = c_UNIV,
    input ).

fof(cls_Sum__Type_OUNIV__Plus__UNIV_0_0,plain,
    ! [T_a,T_b] :
      ( c_Sum__Type_OPlus(c_UNIV,c_UNIV,T_a,T_b) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Sum__Type_OUNIV__Plus__UNIV_0]) ).

cnf(cls_Sum__Type_OInr__not__Inl_0,axiom,
    c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
    input ).

fof(cls_Sum__Type_OInr__not__Inl_0_0,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Sum__Type_OInr__not__Inl_0]) ).

cnf(cls_Sum__Type_OInl__not__Inr_0,axiom,
    c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
    input ).

fof(cls_Sum__Type_OInl__not__Inr_0_0,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Sum__Type_OInl__not__Inr_0]) ).

cnf(cls_Set_Osubset__empty_1,axiom,
    c_lessequals(c_emptyset,c_emptyset,tc_set(T_a)),
    input ).

fof(cls_Set_Osubset__empty_1_0,plain,
    ! [T_a] :
      ( c_lessequals(c_emptyset,c_emptyset,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Osubset__empty_1]) ).

cnf(cls_Set_Osubset__UNIV_0,axiom,
    c_lessequals(V_A,c_UNIV,tc_set(T_a)),
    input ).

fof(cls_Set_Osubset__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,c_UNIV,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Osubset__UNIV_0]) ).

cnf(cls_Set_Onot__psubset__empty_0,axiom,
    ~ c_less(V_A,c_emptyset,tc_set(T_a)),
    input ).

fof(cls_Set_Onot__psubset__empty_0_0,plain,
    ! [T_a,V_A] :
      ( ~ c_less(V_A,c_emptyset,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Onot__psubset__empty_0]) ).

cnf(cls_Set_Oinsert__not__empty_0,axiom,
    c_insert(V_a,V_A,T_a) != c_emptyset,
    input ).

fof(cls_Set_Oinsert__not__empty_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_insert(V_a,V_A,T_a) != c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oinsert__not__empty_0]) ).

cnf(cls_Set_Oinsert__inter__insert_0,axiom,
    c_inter(c_insert(V_a,V_A,T_a),c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_inter(V_A,V_B,T_a),T_a),
    input ).

fof(cls_Set_Oinsert__inter__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_inter(c_insert(V_a,V_A,T_a),c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_inter(V_A,V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oinsert__inter__insert_0]) ).

cnf(cls_Set_Oinsert__iff_1,axiom,
    c_in(V_x,c_insert(V_x,V_A,T_a),T_a),
    input ).

fof(cls_Set_Oinsert__iff_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( c_in(V_x,c_insert(V_x,V_A,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oinsert__iff_1]) ).

cnf(cls_Set_Oinsert__absorb2_0,axiom,
    c_insert(V_x,c_insert(V_x,V_A,T_a),T_a) = c_insert(V_x,V_A,T_a),
    input ).

fof(cls_Set_Oinsert__absorb2_0_0,plain,
    ! [T_a,V_A,V_x] :
      ( c_insert(V_x,c_insert(V_x,V_A,T_a),T_a) = c_insert(V_x,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oinsert__absorb2_0]) ).

cnf(cls_Set_Oinsert__Diff__single_0,axiom,
    c_insert(V_a,c_minus(V_A,c_insert(V_a,c_emptyset,T_a),tc_set(T_a)),T_a) = c_insert(V_a,V_A,T_a),
    input ).

fof(cls_Set_Oinsert__Diff__single_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_insert(V_a,c_minus(V_A,c_insert(V_a,c_emptyset,T_a),tc_set(T_a)),T_a) = c_insert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oinsert__Diff__single_0]) ).

cnf(cls_Set_Oempty__not__insert_0,axiom,
    c_emptyset != c_insert(V_a,V_A,T_a),
    input ).

fof(cls_Set_Oempty__not__insert_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_emptyset != c_insert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oempty__not__insert_0]) ).

cnf(cls_Set_Oempty__iff_0,axiom,
    ~ c_in(V_c,c_emptyset,T_a),
    input ).

fof(cls_Set_Oempty__iff_0_0,plain,
    ! [T_a,V_c] :
      ( ~ c_in(V_c,c_emptyset,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oempty__iff_0]) ).

cnf(cls_Set_Oempty__Diff_0,axiom,
    c_minus(c_emptyset,V_A,tc_set(T_a)) = c_emptyset,
    input ).

fof(cls_Set_Oempty__Diff_0_0,plain,
    ! [T_a,V_A] :
      ( c_minus(c_emptyset,V_A,tc_set(T_a)) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oempty__Diff_0]) ).

cnf(cls_Set_Odouble__complement_0,axiom,
    c_uminus(c_uminus(V_y,tc_set(T_a)),tc_set(T_a)) = V_y,
    input ).

fof(cls_Set_Odouble__complement_0_0,plain,
    ! [T_a,V_y] :
      ( c_uminus(c_uminus(V_y,tc_set(T_a)),tc_set(T_a)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Odouble__complement_0]) ).

cnf(cls_Set_Ocontents__eq_0,axiom,
    c_Set_Ocontents(c_insert(V_y,c_emptyset,T_a),T_a) = V_y,
    input ).

fof(cls_Set_Ocontents__eq_0_0,plain,
    ! [T_a,V_y] :
      ( c_Set_Ocontents(c_insert(V_y,c_emptyset,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Ocontents__eq_0]) ).

cnf(cls_Set_OUnion__insert_0,axiom,
    c_Union(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_union(V_a,c_Union(V_B,T_a),T_a),
    input ).

fof(cls_Set_OUnion__insert_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_Union(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_union(V_a,c_Union(V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUnion__insert_0]) ).

cnf(cls_Set_OUnion__empty_0,axiom,
    c_Union(c_emptyset,T_a) = c_emptyset,
    input ).

fof(cls_Set_OUnion__empty_0_0,plain,
    ! [T_a] :
      ( c_Union(c_emptyset,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUnion__empty_0]) ).

cnf(cls_Set_OUnion__Un__distrib_0,axiom,
    c_Union(c_union(V_A,V_B,tc_set(T_a)),T_a) = c_union(c_Union(V_A,T_a),c_Union(V_B,T_a),T_a),
    input ).

fof(cls_Set_OUnion__Un__distrib_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Union(c_union(V_A,V_B,tc_set(T_a)),T_a) = c_union(c_Union(V_A,T_a),c_Union(V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUnion__Un__distrib_0]) ).

cnf(cls_Set_OUnion__UNIV_0,axiom,
    c_Union(c_UNIV,T_a) = c_UNIV,
    input ).

fof(cls_Set_OUnion__UNIV_0_0,plain,
    ! [T_a] :
      ( c_Union(c_UNIV,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUnion__UNIV_0]) ).

cnf(cls_Set_OUnion__Pow__eq_0,axiom,
    c_Union(c_Pow(V_y,T_a),T_a) = V_y,
    input ).

fof(cls_Set_OUnion__Pow__eq_0_0,plain,
    ! [T_a,V_y] :
      ( c_Union(c_Pow(V_y,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUnion__Pow__eq_0]) ).

cnf(cls_Set_OUn__insert__right_0,axiom,
    c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a),
    input ).

fof(cls_Set_OUn__insert__right_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__insert__right_0]) ).

cnf(cls_Set_OUn__insert__left_0,axiom,
    c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a),
    input ).

fof(cls_Set_OUn__insert__left_0_0,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__insert__left_0]) ).

cnf(cls_Set_OUn__empty__right_0,axiom,
    c_union(V_y,c_emptyset,T_a) = V_y,
    input ).

fof(cls_Set_OUn__empty__right_0_0,plain,
    ! [T_a,V_y] :
      ( c_union(V_y,c_emptyset,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__empty__right_0]) ).

cnf(cls_Set_OUn__empty__left_0,axiom,
    c_union(c_emptyset,V_y,T_a) = V_y,
    input ).

fof(cls_Set_OUn__empty__left_0_0,plain,
    ! [T_a,V_y] :
      ( c_union(c_emptyset,V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__empty__left_0]) ).

cnf(cls_Set_OUn__empty_2,axiom,
    c_union(c_emptyset,c_emptyset,T_a) = c_emptyset,
    input ).

fof(cls_Set_OUn__empty_2_0,plain,
    ! [T_a] :
      ( c_union(c_emptyset,c_emptyset,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__empty_2]) ).

cnf(cls_Set_OUn__absorb_0,axiom,
    c_union(V_y,V_y,T_a) = V_y,
    input ).

fof(cls_Set_OUn__absorb_0_0,plain,
    ! [T_a,V_y] :
      ( c_union(V_y,V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__absorb_0]) ).

cnf(cls_Set_OUn__UNIV__right_0,axiom,
    c_union(V_A,c_UNIV,T_a) = c_UNIV,
    input ).

fof(cls_Set_OUn__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_union(V_A,c_UNIV,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__UNIV__right_0]) ).

cnf(cls_Set_OUn__UNIV__left_0,axiom,
    c_union(c_UNIV,V_B,T_a) = c_UNIV,
    input ).

fof(cls_Set_OUn__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_union(c_UNIV,V_B,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__UNIV__left_0]) ).

cnf(cls_Set_OUn__Diff__cancel_0,axiom,
    c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
    input ).

fof(cls_Set_OUn__Diff__cancel_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__Diff__cancel_0]) ).

cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
    c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a),
    input ).

fof(cls_Set_OUn__Diff__cancel2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUn__Diff__cancel2_0]) ).

cnf(cls_Set_OUNIV__not__empty_0,axiom,
    c_UNIV != c_emptyset,
    input ).

fof(cls_Set_OUNIV__not__empty_0_0,plain,
    ( c_UNIV != c_emptyset
    | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUNIV__not__empty_0]) ).

cnf(cls_Set_OPow__empty_0,axiom,
    c_Pow(c_emptyset,T_a) = c_insert(c_emptyset,c_emptyset,tc_set(T_a)),
    input ).

fof(cls_Set_OPow__empty_0_0,plain,
    ! [T_a] :
      ( c_Pow(c_emptyset,T_a) = c_insert(c_emptyset,c_emptyset,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OPow__empty_0]) ).

cnf(cls_Set_OPow__UNIV_0,axiom,
    c_Pow(c_UNIV,T_a) = c_UNIV,
    input ).

fof(cls_Set_OPow__UNIV_0_0,plain,
    ! [T_a] :
      ( c_Pow(c_UNIV,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OPow__UNIV_0]) ).

cnf(cls_Set_OPow__Int__eq_0,axiom,
    c_Pow(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_Pow(V_A,T_a),c_Pow(V_B,T_a),tc_set(T_a)),
    input ).

fof(cls_Set_OPow__Int__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Pow(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_Pow(V_A,T_a),c_Pow(V_B,T_a),tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OPow__Int__eq_0]) ).

cnf(cls_Set_OInter__insert_0,axiom,
    c_Inter(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_inter(V_a,c_Inter(V_B,T_a),T_a),
    input ).

fof(cls_Set_OInter__insert_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_Inter(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_inter(V_a,c_Inter(V_B,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInter__insert_0]) ).

cnf(cls_Set_OInter__empty_0,axiom,
    c_Inter(c_emptyset,T_a) = c_UNIV,
    input ).

fof(cls_Set_OInter__empty_0_0,plain,
    ! [T_a] :
      ( c_Inter(c_emptyset,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInter__empty_0]) ).

cnf(cls_Set_OInter__UNIV_0,axiom,
    c_Inter(c_UNIV,T_a) = c_emptyset,
    input ).

fof(cls_Set_OInter__UNIV_0_0,plain,
    ! [T_a] :
      ( c_Inter(c_UNIV,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInter__UNIV_0]) ).

cnf(cls_Set_OInt__empty__right_0,axiom,
    c_inter(V_A,c_emptyset,T_a) = c_emptyset,
    input ).

fof(cls_Set_OInt__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_inter(V_A,c_emptyset,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__empty__right_0]) ).

cnf(cls_Set_OInt__empty__left_0,axiom,
    c_inter(c_emptyset,V_B,T_a) = c_emptyset,
    input ).

fof(cls_Set_OInt__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_inter(c_emptyset,V_B,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__empty__left_0]) ).

cnf(cls_Set_OInt__absorb_0,axiom,
    c_inter(V_y,V_y,T_a) = V_y,
    input ).

fof(cls_Set_OInt__absorb_0_0,plain,
    ! [T_a,V_y] :
      ( c_inter(V_y,V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__absorb_0]) ).

cnf(cls_Set_OInt__UNIV__right_0,axiom,
    c_inter(V_y,c_UNIV,T_a) = V_y,
    input ).

fof(cls_Set_OInt__UNIV__right_0_0,plain,
    ! [T_a,V_y] :
      ( c_inter(V_y,c_UNIV,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__UNIV__right_0]) ).

cnf(cls_Set_OInt__UNIV__left_0,axiom,
    c_inter(c_UNIV,V_y,T_a) = V_y,
    input ).

fof(cls_Set_OInt__UNIV__left_0_0,plain,
    ! [T_a,V_y] :
      ( c_inter(c_UNIV,V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__UNIV__left_0]) ).

cnf(cls_Set_OInt__UNIV_2,axiom,
    c_inter(c_UNIV,c_UNIV,T_a) = c_UNIV,
    input ).

fof(cls_Set_OInt__UNIV_2_0,plain,
    ! [T_a] :
      ( c_inter(c_UNIV,c_UNIV,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OInt__UNIV_2]) ).

cnf(cls_Set_ODiff__idemp_0,axiom,
    c_minus(c_minus(V_A,V_B,tc_set(T_a)),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)),
    input ).

fof(cls_Set_ODiff__idemp_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_minus(c_minus(V_A,V_B,tc_set(T_a)),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__idemp_0]) ).

cnf(cls_Set_ODiff__empty_0,axiom,
    c_minus(V_y,c_emptyset,tc_set(T_a)) = V_y,
    input ).

fof(cls_Set_ODiff__empty_0_0,plain,
    ! [T_a,V_y] :
      ( c_minus(V_y,c_emptyset,tc_set(T_a)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__empty_0]) ).

cnf(cls_Set_ODiff__disjoint_0,axiom,
    c_inter(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_emptyset,
    input ).

fof(cls_Set_ODiff__disjoint_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_inter(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__disjoint_0]) ).

cnf(cls_Set_ODiff__cancel_0,axiom,
    c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset,
    input ).

fof(cls_Set_ODiff__cancel_0_0,plain,
    ! [T_a,V_A] :
      ( c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__cancel_0]) ).

cnf(cls_Set_ODiff__UNIV_0,axiom,
    c_minus(V_A,c_UNIV,tc_set(T_a)) = c_emptyset,
    input ).

fof(cls_Set_ODiff__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_minus(V_A,c_UNIV,tc_set(T_a)) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__UNIV_0]) ).

cnf(cls_Set_ODiff__Compl_0,axiom,
    c_minus(V_A,c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) = c_inter(V_A,V_B,T_a),
    input ).

fof(cls_Set_ODiff__Compl_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_minus(V_A,c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) = c_inter(V_A,V_B,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_ODiff__Compl_0]) ).

cnf(cls_Set_OCompl__empty__eq_0,axiom,
    c_uminus(c_emptyset,tc_set(T_a)) = c_UNIV,
    input ).

fof(cls_Set_OCompl__empty__eq_0_0,plain,
    ! [T_a] :
      ( c_uminus(c_emptyset,tc_set(T_a)) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__empty__eq_0]) ).

cnf(cls_Set_OCompl__disjoint_0,axiom,
    c_inter(V_A,c_uminus(V_A,tc_set(T_a)),T_a) = c_emptyset,
    input ).

fof(cls_Set_OCompl__disjoint_0_0,plain,
    ! [T_a,V_A] :
      ( c_inter(V_A,c_uminus(V_A,tc_set(T_a)),T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__disjoint_0]) ).

cnf(cls_Set_OCompl__disjoint2_0,axiom,
    c_inter(c_uminus(V_A,tc_set(T_a)),V_A,T_a) = c_emptyset,
    input ).

fof(cls_Set_OCompl__disjoint2_0_0,plain,
    ! [T_a,V_A] :
      ( c_inter(c_uminus(V_A,tc_set(T_a)),V_A,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__disjoint2_0]) ).

cnf(cls_Set_OCompl__Un_0,axiom,
    c_uminus(c_union(V_A,V_B,T_a),tc_set(T_a)) = c_inter(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a),
    input ).

fof(cls_Set_OCompl__Un_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_uminus(c_union(V_A,V_B,T_a),tc_set(T_a)) = c_inter(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__Un_0]) ).

cnf(cls_Set_OCompl__UNIV__eq_0,axiom,
    c_uminus(c_UNIV,tc_set(T_a)) = c_emptyset,
    input ).

fof(cls_Set_OCompl__UNIV__eq_0_0,plain,
    ! [T_a] :
      ( c_uminus(c_UNIV,tc_set(T_a)) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__UNIV__eq_0]) ).

cnf(cls_Set_OCompl__Int_0,axiom,
    c_uminus(c_inter(V_A,V_B,T_a),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a),
    input ).

fof(cls_Set_OCompl__Int_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_uminus(c_inter(V_A,V_B,T_a),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__Int_0]) ).

cnf(cls_Set_OCompl__Diff__eq_0,axiom,
    c_uminus(c_minus(V_A,V_B,tc_set(T_a)),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),V_B,T_a),
    input ).

fof(cls_Set_OCompl__Diff__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_uminus(c_minus(V_A,V_B,tc_set(T_a)),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),V_B,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OCompl__Diff__eq_0]) ).

cnf(cls_SetInterval_OlessThan__0_0,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    input ).

fof(cls_SetInterval_OlessThan__0_0_0,plain,
    ( c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset
    | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_OlessThan__0_0]) ).

cnf(cls_SetInterval_Ocard__lessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OlessThan(V_y,tc_nat),tc_nat) = V_y,
    input ).

fof(cls_SetInterval_Ocard__lessThan_0_0,plain,
    ! [V_y] :
      ( c_Finite__Set_Ocard(c_SetInterval_OlessThan(V_y,tc_nat),tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__lessThan_0]) ).

cnf(cls_SetInterval_Ocard__greaterThanLessThan__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,c_plus(V_l,c_1,tc_IntDef_Oint),tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ocard__greaterThanLessThan__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,c_plus(V_l,c_1,tc_IntDef_Oint),tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__greaterThanLessThan__int_0]) ).

cnf(cls_SetInterval_Ocard__greaterThanLessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,c_Suc(V_l),tc_nat),
    input ).

fof(cls_SetInterval_Ocard__greaterThanLessThan_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,c_Suc(V_l),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__greaterThanLessThan_0]) ).

cnf(cls_SetInterval_Ocard__greaterThanAtMost__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ocard__greaterThanAtMost__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__greaterThanAtMost__int_0]) ).

cnf(cls_SetInterval_Ocard__greaterThanAtMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat),
    input ).

fof(cls_SetInterval_Ocard__greaterThanAtMost_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__greaterThanAtMost_0]) ).

cnf(cls_SetInterval_Ocard__atMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(V_u,tc_nat),tc_nat) = c_Suc(V_u),
    input ).

fof(cls_SetInterval_Ocard__atMost_0_0,plain,
    ! [V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OatMost(V_u,tc_nat),tc_nat) = c_Suc(V_u)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__atMost_0]) ).

cnf(cls_SetInterval_Ocard__atLeastLessThan__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ocard__atLeastLessThan__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__atLeastLessThan__int_0]) ).

cnf(cls_SetInterval_Ocard__atLeastLessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat),
    input ).

fof(cls_SetInterval_Ocard__atLeastLessThan_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__atLeastLessThan_0]) ).

cnf(cls_SetInterval_Ocard__atLeastAtMost__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(V_u,V_l,tc_IntDef_Oint),c_1,tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ocard__atLeastAtMost__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(V_u,V_l,tc_IntDef_Oint),c_1,tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__atLeastAtMost__int_0]) ).

cnf(cls_SetInterval_Ocard__atLeastAtMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(c_Suc(V_u),V_l,tc_nat),
    input ).

fof(cls_SetInterval_Ocard__atLeastAtMost_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(c_Suc(V_u),V_l,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ocard__atLeastAtMost_0]) ).

cnf(cls_SetInterval_OatMost__0_0,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    input ).

fof(cls_SetInterval_OatMost__0_0_0,plain,
    ( c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_OatMost__0_0]) ).

cnf(cls_SetInterval_OatLeast__0_0,axiom,
    c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV,
    input ).

fof(cls_SetInterval_OatLeast__0_0_0,plain,
    ( c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV
    | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_OatLeast__0_0]) ).

cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
    c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat),
    input ).

fof(cls_SetInterval_OatLeastLessThan__singleton_0_0,plain,
    ! [V_m] :
      ( c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_OatLeastLessThan__singleton_0]) ).

cnf(cls_Relation__Power_Orelpow_Osimps__2_0,axiom,
    c_Nat_Opower(V_R,c_Suc(V_n),tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_Orel__comp(V_R,c_Nat_Opower(V_R,V_n,tc_set(tc_prod(T_a__1,T_a__1))),T_a__1,T_a__1,T_a__1),
    input ).

fof(cls_Relation__Power_Orelpow_Osimps__2_0_0,plain,
    ! [T_a__1,V_R,V_n] :
      ( c_Nat_Opower(V_R,c_Suc(V_n),tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_Orel__comp(V_R,c_Nat_Opower(V_R,V_n,tc_set(tc_prod(T_a__1,T_a__1))),T_a__1,T_a__1,T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation__Power_Orelpow_Osimps__2_0]) ).

cnf(cls_Relation__Power_Orelpow_Osimps__1_0,axiom,
    c_Nat_Opower(V_R,c_0,tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_OId,
    input ).

fof(cls_Relation__Power_Orelpow_Osimps__1_0_0,plain,
    ! [T_a__1,V_R] :
      ( c_Nat_Opower(V_R,c_0,tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_OId
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation__Power_Orelpow_Osimps__1_0]) ).

cnf(cls_Relation__Power_Orel__pow__1_0,axiom,
    c_Nat_Opower(V_y,c_1,tc_set(tc_prod(T_a,T_a))) = V_y,
    input ).

fof(cls_Relation__Power_Orel__pow__1_0_0,plain,
    ! [T_a,V_y] :
      ( c_Nat_Opower(V_y,c_1,tc_set(tc_prod(T_a,T_a))) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation__Power_Orel__pow__1_0]) ).

cnf(cls_Relation_Opair__in__Id__conv_1,axiom,
    c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)),
    input ).

fof(cls_Relation_Opair__in__Id__conv_1_0,plain,
    ! [T_a,V_x] :
      ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_Opair__in__Id__conv_1]) ).

cnf(cls_Relation_Odiag__empty_0,axiom,
    c_Relation_Odiag(c_emptyset,T_a) = c_emptyset,
    input ).

fof(cls_Relation_Odiag__empty_0_0,plain,
    ! [T_a] :
      ( c_Relation_Odiag(c_emptyset,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_Odiag__empty_0]) ).

cnf(cls_Relation_Oconverse__diag_0,axiom,
    c_Relation_Oconverse(c_Relation_Odiag(V_A,T_a),T_a,T_a) = c_Relation_Odiag(V_A,T_a),
    input ).

fof(cls_Relation_Oconverse__diag_0_0,plain,
    ! [T_a,V_A] :
      ( c_Relation_Oconverse(c_Relation_Odiag(V_A,T_a),T_a,T_a) = c_Relation_Odiag(V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_Oconverse__diag_0]) ).

cnf(cls_Relation_Oconverse__converse_0,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(V_y,T_a,T_b),T_b,T_a) = V_y,
    input ).

fof(cls_Relation_Oconverse__converse_0_0,plain,
    ! [T_a,T_b,V_y] :
      ( c_Relation_Oconverse(c_Relation_Oconverse(V_y,T_a,T_b),T_b,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_Oconverse__converse_0]) ).

cnf(cls_Relation_Oconverse__Id_0,axiom,
    c_Relation_Oconverse(c_Relation_OId,T_a,T_a) = c_Relation_OId,
    input ).

fof(cls_Relation_Oconverse__Id_0_0,plain,
    ! [T_a] :
      ( c_Relation_Oconverse(c_Relation_OId,T_a,T_a) = c_Relation_OId
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_Oconverse__Id_0]) ).

cnf(cls_Relation_ORange__empty_0,axiom,
    c_Relation_ORange(c_emptyset,T_b,T_a) = c_emptyset,
    input ).

fof(cls_Relation_ORange__empty_0_0,plain,
    ! [T_a,T_b] :
      ( c_Relation_ORange(c_emptyset,T_b,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ORange__empty_0]) ).

cnf(cls_Relation_ORange__diag_0,axiom,
    c_Relation_ORange(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y,
    input ).

fof(cls_Relation_ORange__diag_0_0,plain,
    ! [T_a,V_y] :
      ( c_Relation_ORange(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ORange__diag_0]) ).

cnf(cls_Relation_ORange__Id_0,axiom,
    c_Relation_ORange(c_Relation_OId,T_a,T_a) = c_UNIV,
    input ).

fof(cls_Relation_ORange__Id_0_0,plain,
    ! [T_a] :
      ( c_Relation_ORange(c_Relation_OId,T_a,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ORange__Id_0]) ).

cnf(cls_Relation_OR__O__Id_0,axiom,
    c_Relation_Orel__comp(V_y,c_Relation_OId,T_a,T_b,T_a) = V_y,
    input ).

fof(cls_Relation_OR__O__Id_0_0,plain,
    ! [T_a,T_b,V_y] :
      ( c_Relation_Orel__comp(V_y,c_Relation_OId,T_a,T_b,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_OR__O__Id_0]) ).

cnf(cls_Relation_OImage__empty_0,axiom,
    c_Relation_OImage(V_R,c_emptyset,T_b,T_a) = c_emptyset,
    input ).

fof(cls_Relation_OImage__empty_0_0,plain,
    ! [T_a,T_b,V_R] :
      ( c_Relation_OImage(V_R,c_emptyset,T_b,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_OImage__empty_0]) ).

cnf(cls_Relation_OImage__diag_0,axiom,
    c_Relation_OImage(c_Relation_Odiag(V_A,T_a),V_B,T_a,T_a) = c_inter(V_A,V_B,T_a),
    input ).

fof(cls_Relation_OImage__diag_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Relation_OImage(c_Relation_Odiag(V_A,T_a),V_B,T_a,T_a) = c_inter(V_A,V_B,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_OImage__diag_0]) ).

cnf(cls_Relation_OImage__Id_0,axiom,
    c_Relation_OImage(c_Relation_OId,V_y,T_a,T_a) = V_y,
    input ).

fof(cls_Relation_OImage__Id_0_0,plain,
    ! [T_a,V_y] :
      ( c_Relation_OImage(c_Relation_OId,V_y,T_a,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_OImage__Id_0]) ).

cnf(cls_Relation_OId__O__R_0,axiom,
    c_Relation_Orel__comp(c_Relation_OId,V_y,T_b,T_b,T_a) = V_y,
    input ).

fof(cls_Relation_OId__O__R_0_0,plain,
    ! [T_a,T_b,V_y] :
      ( c_Relation_Orel__comp(c_Relation_OId,V_y,T_b,T_b,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_OId__O__R_0]) ).

cnf(cls_Relation_ODomain__empty_0,axiom,
    c_Relation_ODomain(c_emptyset,T_a,T_b) = c_emptyset,
    input ).

fof(cls_Relation_ODomain__empty_0_0,plain,
    ! [T_a,T_b] :
      ( c_Relation_ODomain(c_emptyset,T_a,T_b) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ODomain__empty_0]) ).

cnf(cls_Relation_ODomain__diag_0,axiom,
    c_Relation_ODomain(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y,
    input ).

fof(cls_Relation_ODomain__diag_0_0,plain,
    ! [T_a,V_y] :
      ( c_Relation_ODomain(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ODomain__diag_0]) ).

cnf(cls_Relation_ODomain__Id_0,axiom,
    c_Relation_ODomain(c_Relation_OId,T_a,T_a) = c_UNIV,
    input ).

fof(cls_Relation_ODomain__Id_0_0,plain,
    ! [T_a] :
      ( c_Relation_ODomain(c_Relation_OId,T_a,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_Relation_ODomain__Id_0]) ).

cnf(cls_Product__Type_Osurj__pair_0,axiom,
    V_z = c_Pair(c_Main_Osurj__pair__1(V_z,T_a,T_b),c_Main_Osurj__pair__2(V_z,T_a,T_b),T_a,T_b),
    input ).

fof(cls_Product__Type_Osurj__pair_0_0,plain,
    ! [T_a,T_b,V_z] :
      ( c_Pair(c_Main_Osurj__pair__1(V_z,T_a,T_b),c_Main_Osurj__pair__2(V_z,T_a,T_b),T_a,T_b) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_Product__Type_Osurj__pair_0]) ).

cnf(cls_Product__Type_Osnd__conv_0,axiom,
    c_snd(c_Pair(V_a,V_y,T_b,T_a),T_b,T_a) = V_y,
    input ).

fof(cls_Product__Type_Osnd__conv_0_0,plain,
    ! [T_a,T_b,V_a,V_y] :
      ( c_snd(c_Pair(V_a,V_y,T_b,T_a),T_b,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Product__Type_Osnd__conv_0]) ).

cnf(cls_Product__Type_Opair__collapse_0,axiom,
    c_Pair(c_fst(V_y,T_a,T_b),c_snd(V_y,T_a,T_b),T_a,T_b) = V_y,
    input ).

fof(cls_Product__Type_Opair__collapse_0_0,plain,
    ! [T_a,T_b,V_y] :
      ( c_Pair(c_fst(V_y,T_a,T_b),c_snd(V_y,T_a,T_b),T_a,T_b) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Product__Type_Opair__collapse_0]) ).

cnf(cls_Product__Type_Ofst__conv_0,axiom,
    c_fst(c_Pair(V_y,V_b,T_a,T_b),T_a,T_b) = V_y,
    input ).

fof(cls_Product__Type_Ofst__conv_0_0,plain,
    ! [T_a,T_b,V_b,V_y] :
      ( c_fst(c_Pair(V_y,V_b,T_a,T_b),T_a,T_b) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Product__Type_Ofst__conv_0]) ).

cnf(cls_Power_Opower_Osimps__2_0,axiom,
    c_Nat_Opower(V_p,c_Suc(V_n),tc_nat) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_nat),tc_nat),
    input ).

fof(cls_Power_Opower_Osimps__2_0_0,plain,
    ! [V_n,V_p] :
      ( c_Nat_Opower(V_p,c_Suc(V_n),tc_nat) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Power_Opower_Osimps__2_0]) ).

cnf(cls_Power_Opower_Osimps__1_0,axiom,
    c_Nat_Opower(V_p,c_0,tc_nat) = c_1,
    input ).

fof(cls_Power_Opower_Osimps__1_0_0,plain,
    ! [V_p] :
      ( c_Nat_Opower(V_p,c_0,tc_nat) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_Power_Opower_Osimps__1_0]) ).

cnf(cls_Power_Onat__zero__less__power__iff_2,axiom,
    c_less(c_0,c_Nat_Opower(V_x,c_0,tc_nat),tc_nat),
    input ).

fof(cls_Power_Onat__zero__less__power__iff_2_0,plain,
    ! [V_x] :
      ( c_less(c_0,c_Nat_Opower(V_x,c_0,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Power_Onat__zero__less__power__iff_2]) ).

cnf(cls_Parity_Oodd__one_0,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    input ).

fof(cls_Parity_Oodd__one_0_0,plain,
    ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[cls_Parity_Oodd__one_0]) ).

cnf(cls_Parity_Oeven__zero_0,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    input ).

fof(cls_Parity_Oeven__zero_0_0,plain,
    ( c_Parity_Oeven(c_0,tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[cls_Parity_Oeven__zero_0]) ).

cnf(cls_Parity_Oeven__nat__zero_0,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    input ).

fof(cls_Parity_Oeven__nat__zero_0_0,plain,
    ( c_Parity_Oeven(c_0,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Parity_Oeven__nat__zero_0]) ).

cnf(cls_Numeral_Obit_Osize__2_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0,
    input ).

fof(cls_Numeral_Obit_Osize__2_0_0,plain,
    ( c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Osize__2_0]) ).

cnf(cls_Numeral_Obit_Osize__1_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0,
    input ).

fof(cls_Numeral_Obit_Osize__1_0_0,plain,
    ( c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Osize__1_0]) ).

cnf(cls_Numeral_Obit_Orecs__2_0,axiom,
    c_Numeral_Obit_Obit__rec(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y,
    input ).

fof(cls_Numeral_Obit_Orecs__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Numeral_Obit_Obit__rec(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Orecs__2_0]) ).

cnf(cls_Numeral_Obit_Orecs__1_0,axiom,
    c_Numeral_Obit_Obit__rec(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y,
    input ).

fof(cls_Numeral_Obit_Orecs__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Numeral_Obit_Obit__rec(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Orecs__1_0]) ).

cnf(cls_Numeral_Obit_Odistinct__2_0,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    input ).

fof(cls_Numeral_Obit_Odistinct__2_0_0,plain,
    ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Odistinct__2_0]) ).

cnf(cls_Numeral_Obit_Odistinct__1_0,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    input ).

fof(cls_Numeral_Obit_Odistinct__1_0_0,plain,
    ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Odistinct__1_0]) ).

cnf(cls_Numeral_Obit_Ocases__2_0,axiom,
    c_Numeral_Obit_Obit__case(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y,
    input ).

fof(cls_Numeral_Obit_Ocases__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Numeral_Obit_Obit__case(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Ocases__2_0]) ).

cnf(cls_Numeral_Obit_Ocases__1_0,axiom,
    c_Numeral_Obit_Obit__case(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y,
    input ).

fof(cls_Numeral_Obit_Ocases__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Numeral_Obit_Obit__case(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obit_Ocases__1_0]) ).

cnf(cls_Numeral_Obin__succ__Pls_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__succ__Pls_0_0,plain,
    ( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__succ__Pls_0]) ).

cnf(cls_Numeral_Obin__succ__Min_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls,
    input ).

fof(cls_Numeral_Obin__succ__Min_0_0,plain,
    ( c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__succ__Min_0]) ).

cnf(cls_Numeral_Obin__succ__1_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(V_w),c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__succ__1_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(V_w),c_Numeral_Obit_OB0)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__succ__1_0]) ).

cnf(cls_Numeral_Obin__succ__0_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__succ__0_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__succ__0_0]) ).

cnf(cls_Numeral_Obin__pred__Pls_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin,
    input ).

fof(cls_Numeral_Obin__pred__Pls_0_0,plain,
    ( c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__pred__Pls_0]) ).

cnf(cls_Numeral_Obin__pred__Min_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__pred__Min_0_0,plain,
    ( c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0)
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__pred__Min_0]) ).

cnf(cls_Numeral_Obin__pred__1_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__pred__1_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__pred__1_0]) ).

cnf(cls_Numeral_Obin__pred__0_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(V_w),c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__pred__0_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(V_w),c_Numeral_Obit_OB1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__pred__0_0]) ).

cnf(cls_Numeral_Obin__mult__Pls_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OPls,V_w) = c_Numeral_OPls,
    input ).

fof(cls_Numeral_Obin__mult__Pls_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__mult(c_Numeral_OPls,V_w) = c_Numeral_OPls
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__mult__Pls_0]) ).

cnf(cls_Numeral_Obin__mult__Min_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OMin,V_w) = c_Numeral_Obin__minus(V_w),
    input ).

fof(cls_Numeral_Obin__mult__Min_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__mult(c_Numeral_OMin,V_w) = c_Numeral_Obin__minus(V_w)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__mult__Min_0]) ).

cnf(cls_Numeral_Obin__mult__1_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),V_w) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0),V_w),
    input ).

fof(cls_Numeral_Obin__mult__1_0_0,plain,
    ! [V_v,V_w] :
      ( c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),V_w) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0),V_w)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__mult__1_0]) ).

cnf(cls_Numeral_Obin__mult__0_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),V_w) = c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__mult__0_0_0,plain,
    ! [V_v,V_w] :
      ( c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),V_w) = c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__mult__0_0]) ).

cnf(cls_Numeral_Obin__minus__Pls_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls,
    input ).

fof(cls_Numeral_Obin__minus__Pls_0_0,plain,
    ( c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__minus__Pls_0]) ).

cnf(cls_Numeral_Obin__minus__Min_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__minus__Min_0_0,plain,
    ( c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__minus__Min_0]) ).

cnf(cls_Numeral_Obin__minus__1_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(V_w)),c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__minus__1_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(V_w)),c_Numeral_Obit_OB1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__minus__1_0]) ).

cnf(cls_Numeral_Obin__minus__0_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(V_w),c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__minus__0_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(V_w),c_Numeral_Obit_OB0)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__minus__0_0]) ).

cnf(cls_Numeral_Obin__add__Pls__right_0,axiom,
    c_Numeral_Obin__add(V_y,c_Numeral_OPls) = V_y,
    input ).

fof(cls_Numeral_Obin__add__Pls__right_0_0,plain,
    ! [V_y] :
      ( c_Numeral_Obin__add(V_y,c_Numeral_OPls) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__Pls__right_0]) ).

cnf(cls_Numeral_Obin__add__Pls_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OPls,V_y) = V_y,
    input ).

fof(cls_Numeral_Obin__add__Pls_0_0,plain,
    ! [V_y] :
      ( c_Numeral_Obin__add(c_Numeral_OPls,V_y) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__Pls_0]) ).

cnf(cls_Numeral_Obin__add__Min__right_0,axiom,
    c_Numeral_Obin__add(V_w,c_Numeral_OMin) = c_Numeral_Obin__pred(V_w),
    input ).

fof(cls_Numeral_Obin__add__Min__right_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__add(V_w,c_Numeral_OMin) = c_Numeral_Obin__pred(V_w)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__Min__right_0]) ).

cnf(cls_Numeral_Obin__add__Min_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OMin,V_w) = c_Numeral_Obin__pred(V_w),
    input ).

fof(cls_Numeral_Obin__add__Min_0_0,plain,
    ! [V_w] :
      ( c_Numeral_Obin__add(c_Numeral_OMin,V_w) = c_Numeral_Obin__pred(V_w)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__Min_0]) ).

cnf(cls_Numeral_Obin__add__BIT__11_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,c_Numeral_Obin__succ(V_w)),c_Numeral_Obit_OB0),
    input ).

fof(cls_Numeral_Obin__add__BIT__11_0_0,plain,
    ! [V_v,V_w] :
      ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,c_Numeral_Obin__succ(V_w)),c_Numeral_Obit_OB0)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__BIT__11_0]) ).

cnf(cls_Numeral_Obin__add__BIT__10_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),c_Numeral_Obit_OB1),
    input ).

fof(cls_Numeral_Obin__add__BIT__10_0_0,plain,
    ! [V_v,V_w] :
      ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),c_Numeral_Obit_OB1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__BIT__10_0]) ).

cnf(cls_Numeral_Obin__add__BIT__0_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),c_Numeral_OBit(V_w,V_y)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),V_y),
    input ).

fof(cls_Numeral_Obin__add__BIT__0_0_0,plain,
    ! [V_v,V_w,V_y] :
      ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),c_Numeral_OBit(V_w,V_y)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),V_y)
      | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_Obin__add__BIT__0_0]) ).

cnf(cls_Numeral_OPls__0__eq_0,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls,
    input ).

fof(cls_Numeral_OPls__0__eq_0_0,plain,
    ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_OPls__0__eq_0]) ).

cnf(cls_Numeral_OMin__1__eq_0,axiom,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin,
    input ).

fof(cls_Numeral_OMin__1__eq_0_0,plain,
    ( c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin
    | $false ),
    inference(orientation,[status(thm)],[cls_Numeral_OMin__1__eq_0]) ).

cnf(cls_Nat_Oop_A_N_Odiff__0_0,axiom,
    c_minus(V_y,c_0,tc_nat) = V_y,
    input ).

fof(cls_Nat_Oop_A_N_Odiff__0_0_0,plain,
    ! [V_y] :
      ( c_minus(V_y,c_0,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oop_A_N_Odiff__0_0]) ).

cnf(cls_Nat_Oop_A_L_Oadd__Suc_0,axiom,
    c_plus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)),
    input ).

fof(cls_Nat_Oop_A_L_Oadd__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( c_plus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oop_A_L_Oadd__Suc_0]) ).

cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
    c_plus(c_0,V_y,tc_nat) = V_y,
    input ).

fof(cls_Nat_Oop_A_L_Oadd__0_0_0,plain,
    ! [V_y] :
      ( c_plus(c_0,V_y,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oop_A_L_Oadd__0_0]) ).

cnf(cls_Nat_Oop_A_K_Omult__Suc_0,axiom,
    c_times(c_Suc(V_m),V_n,tc_nat) = c_plus(V_n,c_times(V_m,V_n,tc_nat),tc_nat),
    input ).

fof(cls_Nat_Oop_A_K_Omult__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( c_times(c_Suc(V_m),V_n,tc_nat) = c_plus(V_n,c_times(V_m,V_n,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oop_A_K_Omult__Suc_0]) ).

cnf(cls_Nat_Oop_A_K_Omult__0_0,axiom,
    c_times(c_0,V_n,tc_nat) = c_0,
    input ).

fof(cls_Nat_Oop_A_K_Omult__0_0_0,plain,
    ! [V_n] :
      ( c_times(c_0,V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oop_A_K_Omult__0_0]) ).

cnf(cls_Nat_Oone__eq__mult__iff_2,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    input ).

fof(cls_Nat_Oone__eq__mult__iff_2_0,plain,
    ( c_Suc(c_0) = c_times(c_1,c_1,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oone__eq__mult__iff_2]) ).

cnf(cls_Nat_Onot__less0_0,axiom,
    ~ c_less(V_n,c_0,tc_nat),
    input ).

fof(cls_Nat_Onot__less0_0_0,plain,
    ! [V_n] :
      ( ~ c_less(V_n,c_0,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Onot__less0_0]) ).

cnf(cls_Nat_Onot__gr0_1,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    input ).

fof(cls_Nat_Onot__gr0_1_0,plain,
    ( ~ c_less(c_0,c_0,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Onot__gr0_1]) ).

cnf(cls_Nat_Onot__add__less2_0,axiom,
    ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
    input ).

fof(cls_Nat_Onot__add__less2_0_0,plain,
    ! [V_i,V_j] :
      ( ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Onot__add__less2_0]) ).

cnf(cls_Nat_Onot__add__less1_0,axiom,
    ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
    input ).

fof(cls_Nat_Onot__add__less1_0_0,plain,
    ! [V_i,V_j] :
      ( ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Onot__add__less1_0]) ).

cnf(cls_Nat_Omult__eq__1__iff_2,axiom,
    c_times(c_1,c_1,tc_nat) = c_Suc(c_0),
    input ).

fof(cls_Nat_Omult__eq__1__iff_2_0,plain,
    ( c_times(c_1,c_1,tc_nat) = c_Suc(c_0)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omult__eq__1__iff_2]) ).

cnf(cls_Nat_Omult__cancel2_1,axiom,
    c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat),
    input ).

fof(cls_Nat_Omult__cancel2_1_0,plain,
    ! [V_m,V_n] :
      ( c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat)
      | c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat) ),
    inference(orientation,[status(thm)],[cls_Nat_Omult__cancel2_1]) ).

cnf(cls_Nat_Omult__cancel1_1,axiom,
    c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat),
    input ).

fof(cls_Nat_Omult__cancel1_1_0,plain,
    ! [V_m,V_n] :
      ( c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat)
      | c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat) ),
    inference(orientation,[status(thm)],[cls_Nat_Omult__cancel1_1]) ).

cnf(cls_Nat_Omult__Suc__right_0,axiom,
    c_times(V_m,c_Suc(V_n),tc_nat) = c_plus(V_m,c_times(V_m,V_n,tc_nat),tc_nat),
    input ).

fof(cls_Nat_Omult__Suc__right_0_0,plain,
    ! [V_m,V_n] :
      ( c_times(V_m,c_Suc(V_n),tc_nat) = c_plus(V_m,c_times(V_m,V_n,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omult__Suc__right_0]) ).

cnf(cls_Nat_Omult__0__right_0,axiom,
    c_times(V_m,c_0,tc_nat) = c_0,
    input ).

fof(cls_Nat_Omult__0__right_0_0,plain,
    ! [V_m] :
      ( c_times(V_m,c_0,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omult__0__right_0]) ).

cnf(cls_Nat_Omin__Suc__Suc_0,axiom,
    c_Orderings_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omin(V_m,V_n,tc_nat)),
    input ).

fof(cls_Nat_Omin__Suc__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( c_Orderings_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omin(V_m,V_n,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omin__Suc__Suc_0]) ).

cnf(cls_Nat_Omin__0R_0,axiom,
    c_Orderings_Omin(V_n,c_0,tc_nat) = c_0,
    input ).

fof(cls_Nat_Omin__0R_0_0,plain,
    ! [V_n] :
      ( c_Orderings_Omin(V_n,c_0,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omin__0R_0]) ).

cnf(cls_Nat_Omin__0L_0,axiom,
    c_Orderings_Omin(c_0,V_n,tc_nat) = c_0,
    input ).

fof(cls_Nat_Omin__0L_0_0,plain,
    ! [V_n] :
      ( c_Orderings_Omin(c_0,V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omin__0L_0]) ).

cnf(cls_Nat_Omax__Suc__Suc_0,axiom,
    c_Orderings_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omax(V_m,V_n,tc_nat)),
    input ).

fof(cls_Nat_Omax__Suc__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( c_Orderings_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omax(V_m,V_n,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omax__Suc__Suc_0]) ).

cnf(cls_Nat_Omax__0R_0,axiom,
    c_Orderings_Omax(V_y,c_0,tc_nat) = V_y,
    input ).

fof(cls_Nat_Omax__0R_0_0,plain,
    ! [V_y] :
      ( c_Orderings_Omax(V_y,c_0,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omax__0R_0]) ).

cnf(cls_Nat_Omax__0L_0,axiom,
    c_Orderings_Omax(c_0,V_y,tc_nat) = V_y,
    input ).

fof(cls_Nat_Omax__0L_0_0,plain,
    ! [V_y] :
      ( c_Orderings_Omax(c_0,V_y,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Omax__0L_0]) ).

cnf(cls_Nat_Oless__one_1,axiom,
    c_less(c_0,c_1,tc_nat),
    input ).

fof(cls_Nat_Oless__one_1_0,plain,
    ( c_less(c_0,c_1,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oless__one_1]) ).

cnf(cls_Nat_Oless__Suc0_1,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    input ).

fof(cls_Nat_Oless__Suc0_1_0,plain,
    ( c_less(c_0,c_Suc(c_0),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oless__Suc0_1]) ).

cnf(cls_Nat_Ole__0__eq_1,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    input ).

fof(cls_Nat_Ole__0__eq_1_0,plain,
    ( c_lessequals(c_0,c_0,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Ole__0__eq_1]) ).

cnf(cls_Nat_Odiff__self__eq__0_0,axiom,
    c_minus(V_m,V_m,tc_nat) = c_0,
    input ).

fof(cls_Nat_Odiff__self__eq__0_0_0,plain,
    ! [V_m] :
      ( c_minus(V_m,V_m,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Odiff__self__eq__0_0]) ).

cnf(cls_Nat_Odiff__le__self_0,axiom,
    c_lessequals(c_minus(V_m,V_n,tc_nat),V_m,tc_nat),
    input ).

fof(cls_Nat_Odiff__le__self_0_0,plain,
    ! [V_m,V_n] :
      ( c_lessequals(c_minus(V_m,V_n,tc_nat),V_m,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Odiff__le__self_0]) ).

cnf(cls_Nat_Odiff__diff__left_0,axiom,
    c_minus(c_minus(V_i,V_j,tc_nat),V_k,tc_nat) = c_minus(V_i,c_plus(V_j,V_k,tc_nat),tc_nat),
    input ).

fof(cls_Nat_Odiff__diff__left_0_0,plain,
    ! [V_i,V_j,V_k] :
      ( c_minus(c_minus(V_i,V_j,tc_nat),V_k,tc_nat) = c_minus(V_i,c_plus(V_j,V_k,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Odiff__diff__left_0]) ).

cnf(cls_Nat_Odiff__Suc__Suc_0,axiom,
    c_minus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_minus(V_m,V_n,tc_nat),
    input ).

fof(cls_Nat_Odiff__Suc__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( c_minus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_minus(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Odiff__Suc__Suc_0]) ).

cnf(cls_Nat_Odiff__0__eq__0_0,axiom,
    c_minus(c_0,V_n,tc_nat) = c_0,
    input ).

fof(cls_Nat_Odiff__0__eq__0_0_0,plain,
    ! [V_n] :
      ( c_minus(c_0,V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Odiff__0__eq__0_0]) ).

cnf(cls_Nat_Oadd__is__0_2,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    input ).

fof(cls_Nat_Oadd__is__0_2_0,plain,
    ( c_plus(c_0,c_0,tc_nat) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oadd__is__0_2]) ).

cnf(cls_Nat_Oadd__Suc__right_0,axiom,
    c_plus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)),
    input ).

fof(cls_Nat_Oadd__Suc__right_0_0,plain,
    ! [V_m,V_n] :
      ( c_plus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oadd__Suc__right_0]) ).

cnf(cls_Nat_Oadd__0__right_0,axiom,
    c_plus(V_y,c_0,tc_nat) = V_y,
    input ).

fof(cls_Nat_Oadd__0__right_0_0,plain,
    ! [V_y] :
      ( c_plus(V_y,c_0,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oadd__0__right_0]) ).

cnf(cls_Nat_OZero__not__Suc_0,axiom,
    c_0 != c_Suc(V_m),
    input ).

fof(cls_Nat_OZero__not__Suc_0_0,plain,
    ! [V_m] :
      ( c_0 != c_Suc(V_m)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_OZero__not__Suc_0]) ).

cnf(cls_Nat_OSuc__not__Zero_0,axiom,
    c_Suc(V_m) != c_0,
    input ).

fof(cls_Nat_OSuc__not__Zero_0_0,plain,
    ! [V_m] :
      ( c_Suc(V_m) != c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_OSuc__not__Zero_0]) ).

cnf(cls_Nat_OSuc__diff__diff_0,axiom,
    c_minus(c_minus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_minus(c_minus(V_m,V_n,tc_nat),V_k,tc_nat),
    input ).

fof(cls_Nat_OSuc__diff__diff_0_0,plain,
    ! [V_k,V_m,V_n] :
      ( c_minus(c_minus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_minus(c_minus(V_m,V_n,tc_nat),V_k,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_OSuc__diff__diff_0]) ).

cnf(cls_Nat_OOne__nat__def_0,axiom,
    c_1 = c_Suc(c_0),
    input ).

fof(cls_Nat_OOne__nat__def_0_0,plain,
    ( c_1 = c_Suc(c_0)
    | $false ),
    inference(orientation,[status(thm)],[cls_Nat_OOne__nat__def_0]) ).

cnf(cls_NatSimprocs_Omod__Suc__eq__mod__add3_0,axiom,
    c_Divides_Oop_Amod(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_Divides_Oop_Amod(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat),
    input ).

fof(cls_NatSimprocs_Omod__Suc__eq__mod__add3_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_Divides_Oop_Amod(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Omod__Suc__eq__mod__add3_0]) ).

cnf(cls_NatSimprocs_Omod2__Suc__Suc_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),
    input ).

fof(cls_NatSimprocs_Omod2__Suc__Suc_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Amod(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Omod2__Suc__Suc_0]) ).

cnf(cls_NatSimprocs_Odiv__Suc__eq__div__add3_0,axiom,
    c_div(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_div(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat),
    input ).

fof(cls_NatSimprocs_Odiv__Suc__eq__div__add3_0_0,plain,
    ! [V_m,V_n] :
      ( c_div(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_div(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Odiv__Suc__eq__div__add3_0]) ).

cnf(cls_NatSimprocs_Odiv2__Suc__Suc_0,axiom,
    c_div(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)),
    input ).

fof(cls_NatSimprocs_Odiv2__Suc__Suc_0_0,plain,
    ! [V_m] :
      ( c_div(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Odiv2__Suc__Suc_0]) ).

cnf(cls_NatSimprocs_Oadd__self__div__2_0,axiom,
    c_div(c_plus(V_y,V_y,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = V_y,
    input ).

fof(cls_NatSimprocs_Oadd__self__div__2_0_0,plain,
    ! [V_y] :
      ( c_div(c_plus(V_y,V_y,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Oadd__self__div__2_0]) ).

cnf(cls_NatSimprocs_Oadd__2__eq__Suc_H_0,axiom,
    c_plus(V_n,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(V_n)),
    input ).

fof(cls_NatSimprocs_Oadd__2__eq__Suc_H_0_0,plain,
    ! [V_n] :
      ( c_plus(V_n,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(V_n))
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Oadd__2__eq__Suc_H_0]) ).

cnf(cls_NatSimprocs_Oadd__2__eq__Suc_0,axiom,
    c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat) = c_Suc(c_Suc(V_n)),
    input ).

fof(cls_NatSimprocs_Oadd__2__eq__Suc_0_0,plain,
    ! [V_n] :
      ( c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat) = c_Suc(c_Suc(V_n))
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_Oadd__2__eq__Suc_0]) ).

cnf(cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat),
    input ).

fof(cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0_0,plain,
    ! [V_m,V_v] :
      ( c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0]) ).

cnf(cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0,axiom,
    c_div(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat),
    input ).

fof(cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0_0,plain,
    ! [V_m,V_v] :
      ( c_div(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0]) ).

cnf(cls_NatBin_Oone__div__nat__number__of_0,axiom,
    c_div(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)),
    input ).

fof(cls_NatBin_Oone__div__nat__number__of_0_0,plain,
    ! [V_v_H] :
      ( c_div(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_NatBin_Oone__div__nat__number__of_0]) ).

cnf(cls_NatBin_Onat__numeral__1__eq__1_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1,
    input ).

fof(cls_NatBin_Onat__numeral__1__eq__1_0_0,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1
    | $false ),
    inference(orientation,[status(thm)],[cls_NatBin_Onat__numeral__1__eq__1_0]) ).

cnf(cls_NatBin_Onat__numeral__0__eq__0_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
    input ).

fof(cls_NatBin_Onat__numeral__0__eq__0_0_0,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_NatBin_Onat__numeral__0__eq__0_0]) ).

cnf(cls_NatBin_Onat__number__of_0,axiom,
    c_IntDef_Onat(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint)) = c_Numeral_Onumber__of(V_w,tc_nat),
    input ).

fof(cls_NatBin_Onat__number__of_0_0,plain,
    ! [V_w] :
      ( c_IntDef_Onat(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint)) = c_Numeral_Onumber__of(V_w,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatBin_Onat__number__of_0]) ).

cnf(cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0,axiom,
    c_IntDef_Oint(c_plus(V_m,V_n,tc_nat)) = c_plus(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint),
    input ).

fof(cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0_0,plain,
    ! [V_m,V_n] :
      ( c_IntDef_Oint(c_plus(V_m,V_n,tc_nat)) = c_plus(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0]) ).

cnf(cls_List_Ozip__replicate_0,axiom,
    c_List_Ozip(c_List_Oreplicate(V_i,V_x,T_a),c_List_Oreplicate(V_j,V_y,T_b),T_a,T_b) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_j,tc_nat),c_Pair(V_x,V_y,T_a,T_b),tc_prod(T_a,T_b)),
    input ).

fof(cls_List_Ozip__replicate_0_0,plain,
    ! [T_a,T_b,V_i,V_j,V_x,V_y] :
      ( c_List_Ozip(c_List_Oreplicate(V_i,V_x,T_a),c_List_Oreplicate(V_j,V_y,T_b),T_a,T_b) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_j,tc_nat),c_Pair(V_x,V_y,T_a,T_b),tc_prod(T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ozip__replicate_0]) ).

cnf(cls_List_Ozip__Nil_0,axiom,
    c_List_Ozip(c_List_Olist_ONil,V_ys,T_a,T_b) = c_List_Olist_ONil,
    input ).

fof(cls_List_Ozip__Nil_0_0,plain,
    ! [T_a,T_b,V_ys] :
      ( c_List_Ozip(c_List_Olist_ONil,V_ys,T_a,T_b) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ozip__Nil_0]) ).

cnf(cls_List_Ozip__Cons__Cons_0,axiom,
    c_List_Ozip(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) = c_List_Olist_OCons(c_Pair(V_x,V_y,T_a,T_b),c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_prod(T_a,T_b)),
    input ).

fof(cls_List_Ozip__Cons__Cons_0_0,plain,
    ! [T_a,T_b,V_x,V_xs,V_y,V_ys] :
      ( c_List_Ozip(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) = c_List_Olist_OCons(c_Pair(V_x,V_y,T_a,T_b),c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_prod(T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ozip__Cons__Cons_0]) ).

cnf(cls_List_Ozip_Osimps__1_0,axiom,
    c_List_Ozip(V_xs,c_List_Olist_ONil,T_a__1,T_b__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Ozip_Osimps__1_0_0,plain,
    ! [T_a__1,T_b__1,V_xs] :
      ( c_List_Ozip(V_xs,c_List_Olist_ONil,T_a__1,T_b__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ozip_Osimps__1_0]) ).

cnf(cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0,axiom,
    c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    input ).

fof(cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0_0,plain,
    ! [T_a,V_t,V_x] :
      ( c_List_Olist_OCons(V_x,V_t,T_a) != V_t
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0]) ).

cnf(cls_List_Oupt__eq__Nil__conv_1,axiom,
    c_List_Oupt(V_i,c_0) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oupt__eq__Nil__conv_1_0,plain,
    ! [V_i] :
      ( c_List_Oupt(V_i,c_0) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oupt__eq__Nil__conv_1]) ).

cnf(cls_List_Otl_Osimps__2_0,axiom,
    c_List_Otl(c_List_Olist_OCons(V_x,V_y,T_a__1),T_a__1) = V_y,
    input ).

fof(cls_List_Otl_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_y] :
      ( c_List_Otl(c_List_Olist_OCons(V_x,V_y,T_a__1),T_a__1) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otl_Osimps__2_0]) ).

cnf(cls_List_Otl_Osimps__1_0,axiom,
    c_List_Otl(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Otl_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Otl(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otl_Osimps__1_0]) ).

cnf(cls_List_Otake__take_0,axiom,
    c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Omin(V_n,V_m,tc_nat),V_xs,T_a),
    input ).

fof(cls_List_Otake__take_0_0,plain,
    ! [T_a,V_m,V_n,V_xs] :
      ( c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Omin(V_n,V_m,tc_nat),V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__take_0]) ).

cnf(cls_List_Otake__replicate_0,axiom,
    c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_k,tc_nat),V_x,T_a),
    input ).

fof(cls_List_Otake__replicate_0_0,plain,
    ! [T_a,V_i,V_k,V_x] :
      ( c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_k,tc_nat),V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__replicate_0]) ).

cnf(cls_List_Otake__eq__Nil_2,axiom,
    c_List_Otake(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Otake__eq__Nil_2_0,plain,
    ! [T_a,V_n] :
      ( c_List_Otake(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__eq__Nil_2]) ).

cnf(cls_List_Otake__eq__Nil_1,axiom,
    c_List_Otake(c_0,V_xs,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Otake__eq__Nil_1_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Otake(c_0,V_xs,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__eq__Nil_1]) ).

cnf(cls_List_Otake__append_0,axiom,
    c_List_Otake(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a),
    input ).

fof(cls_List_Otake__append_0_0,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( c_List_Otake(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__append_0]) ).

cnf(cls_List_Otake__Suc__Cons_0,axiom,
    c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a),
    input ).

fof(cls_List_Otake__Suc__Cons_0_0,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Otake__Suc__Cons_0]) ).

cnf(cls_List_Osublist__upt__eq__take_0,axiom,
    c_List_Osublist(V_l,c_SetInterval_OlessThan(V_n,tc_nat),T_a) = c_List_Otake(V_n,V_l,T_a),
    input ).

fof(cls_List_Osublist__upt__eq__take_0_0,plain,
    ! [T_a,V_l,V_n] :
      ( c_List_Osublist(V_l,c_SetInterval_OlessThan(V_n,tc_nat),T_a) = c_List_Otake(V_n,V_l,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Osublist__upt__eq__take_0]) ).

cnf(cls_List_Osublist__nil_0,axiom,
    c_List_Osublist(c_List_Olist_ONil,V_A,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Osublist__nil_0_0,plain,
    ! [T_a,V_A] :
      ( c_List_Osublist(c_List_Olist_ONil,V_A,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Osublist__nil_0]) ).

cnf(cls_List_Osublist__empty_0,axiom,
    c_List_Osublist(V_xs,c_emptyset,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Osublist__empty_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Osublist(V_xs,c_emptyset,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Osublist__empty_0]) ).

cnf(cls_List_Osingleton__rev__conv_1,axiom,
    c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a),
    input ).

fof(cls_List_Osingleton__rev__conv_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Osingleton__rev__conv_1]) ).

cnf(cls_List_Oset__rotate_0,axiom,
    c_List_Oset(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a),
    input ).

fof(cls_List_Oset__rotate_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_List_Oset(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__rotate_0]) ).

cnf(cls_List_Oset__rotate1_0,axiom,
    c_List_Oset(c_List_Orotate1(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a),
    input ).

fof(cls_List_Oset__rotate1_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oset(c_List_Orotate1(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__rotate1_0]) ).

cnf(cls_List_Oset__rev_0,axiom,
    c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a),
    input ).

fof(cls_List_Oset__rev_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__rev_0]) ).

cnf(cls_List_Oset__remdups_0,axiom,
    c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a),
    input ).

fof(cls_List_Oset__remdups_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__remdups_0]) ).

cnf(cls_List_Oset__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset,
    input ).

fof(cls_List_Oset__empty_1_0,plain,
    ! [T_a] :
      ( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__empty_1]) ).

cnf(cls_List_Oset__empty2_1,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_Oset__empty2_1_0,plain,
    ! [T_a] :
      ( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__empty2_1]) ).

cnf(cls_List_Oset__append_0,axiom,
    c_List_Oset(c_append(V_xs,V_ys,T_a),T_a) = c_union(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a),
    input ).

fof(cls_List_Oset__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_List_Oset(c_append(V_xs,V_ys,T_a),T_a) = c_union(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset__append_0]) ).

cnf(cls_List_Oset_Osimps__2_0,axiom,
    c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_insert(V_x,c_List_Oset(V_xs,T_a__1),T_a__1),
    input ).

fof(cls_List_Oset_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_xs] :
      ( c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_insert(V_x,c_List_Oset(V_xs,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oset_Osimps__2_0]) ).

cnf(cls_List_Oself__append__conv_1,axiom,
    V_xs = c_append(V_xs,c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_Oself__append__conv_1_0,plain,
    ! [T_a,V_xs] :
      ( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oself__append__conv_1]) ).

cnf(cls_List_Oself__append__conv2_1,axiom,
    V_ys = c_append(c_List_Olist_ONil,V_ys,T_a),
    input ).

fof(cls_List_Oself__append__conv2_1_0,plain,
    ! [T_a,V_ys] :
      ( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oself__append__conv2_1]) ).

cnf(cls_List_Orotate__is__Nil__conv_1,axiom,
    c_List_Orotate(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Orotate__is__Nil__conv_1_0,plain,
    ! [T_a,V_n] :
      ( c_List_Orotate(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orotate__is__Nil__conv_1]) ).

cnf(cls_List_Orotate__Suc_0,axiom,
    c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a),
    input ).

fof(cls_List_Orotate__Suc_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orotate__Suc_0]) ).

cnf(cls_List_Orotate1__is__Nil__conv_1,axiom,
    c_List_Orotate1(c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Orotate1__is__Nil__conv_1_0,plain,
    ! [T_a] :
      ( c_List_Orotate1(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orotate1__is__Nil__conv_1]) ).

cnf(cls_List_Orev__singleton__conv_1,axiom,
    c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_Orev__singleton__conv_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__singleton__conv_1]) ).

cnf(cls_List_Orev__rev__ident_0,axiom,
    c_List_Orev(c_List_Orev(V_y,T_a),T_a) = V_y,
    input ).

fof(cls_List_Orev__rev__ident_0_0,plain,
    ! [T_a,V_y] :
      ( c_List_Orev(c_List_Orev(V_y,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__rev__ident_0]) ).

cnf(cls_List_Orev__replicate_0,axiom,
    c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a),
    input ).

fof(cls_List_Orev__replicate_0_0,plain,
    ! [T_a,V_n,V_x] :
      ( c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__replicate_0]) ).

cnf(cls_List_Orev__is__Nil__conv_1,axiom,
    c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Orev__is__Nil__conv_1_0,plain,
    ! [T_a] :
      ( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__is__Nil__conv_1]) ).

cnf(cls_List_Orev__eq__Cons__iff_1,axiom,
    c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
    input ).

fof(cls_List_Orev__eq__Cons__iff_1_0,plain,
    ! [T_a,V_y,V_ys] :
      ( c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__eq__Cons__iff_1]) ).

cnf(cls_List_Orev__append_0,axiom,
    c_List_Orev(c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a),
    input ).

fof(cls_List_Orev__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_List_Orev(c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev__append_0]) ).

cnf(cls_List_Orev_Osimps__2_0,axiom,
    c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_append(c_List_Orev(V_xs,T_a__1),c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1),
    input ).

fof(cls_List_Orev_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_xs] :
      ( c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_append(c_List_Orev(V_xs,T_a__1),c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Orev_Osimps__2_0]) ).

cnf(cls_List_Oreplicate_Oreplicate__Suc_0,axiom,
    c_List_Oreplicate(c_Suc(V_n),V_x,T_a__1) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a__1),T_a__1),
    input ).

fof(cls_List_Oreplicate_Oreplicate__Suc_0_0,plain,
    ! [T_a__1,V_n,V_x] :
      ( c_List_Oreplicate(c_Suc(V_n),V_x,T_a__1) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oreplicate_Oreplicate__Suc_0]) ).

cnf(cls_List_Oreplicate_Oreplicate__0_0,axiom,
    c_List_Oreplicate(c_0,V_x,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oreplicate_Oreplicate__0_0_0,plain,
    ! [T_a__1,V_x] :
      ( c_List_Oreplicate(c_0,V_x,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oreplicate_Oreplicate__0_0]) ).

cnf(cls_List_Oremove1_Osimps__2_0,axiom,
    c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs,
    input ).

fof(cls_List_Oremove1_Osimps__2_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oremove1_Osimps__2_0]) ).

cnf(cls_List_Oremove1_Osimps__1_0,axiom,
    c_List_Oremove1(V_x,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oremove1_Osimps__1_0_0,plain,
    ! [T_a__1,V_x] :
      ( c_List_Oremove1(V_x,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oremove1_Osimps__1_0]) ).

cnf(cls_List_Oremdups__eq__nil__right__iff_1,axiom,
    c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_Oremdups__eq__nil__right__iff_1_0,plain,
    ! [T_a] :
      ( c_List_Oremdups(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oremdups__eq__nil__right__iff_1]) ).

cnf(cls_List_Oremdups__eq__nil__iff_1,axiom,
    c_List_Oremdups(c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oremdups__eq__nil__iff_1_0,plain,
    ! [T_a] :
      ( c_List_Oremdups(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oremdups__eq__nil__iff_1]) ).

cnf(cls_List_Oop_Amem_Osimps__2_1,axiom,
    c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),
    input ).

fof(cls_List_Oop_Amem_Osimps__2_1_0,plain,
    ! [T_a,V_x,V_ys] :
      ( c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oop_Amem_Osimps__2_1]) ).

cnf(cls_List_Oop_Amem_Osimps__1_0,axiom,
    ~ c_List_Oop_Amem(V_x,c_List_Olist_ONil,T_a__1),
    input ).

fof(cls_List_Oop_Amem_Osimps__1_0_0,plain,
    ! [T_a__1,V_x] :
      ( ~ c_List_Oop_Amem(V_x,c_List_Olist_ONil,T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oop_Amem_Osimps__1_0]) ).

cnf(cls_List_Oop_A_64_Oappend__Cons_0,axiom,
    c_append(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Olist_OCons(V_x,c_append(V_xs,V_ys,T_a__1),T_a__1),
    input ).

fof(cls_List_Oop_A_64_Oappend__Cons_0_0,plain,
    ! [T_a__1,V_x,V_xs,V_ys] :
      ( c_append(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Olist_OCons(V_x,c_append(V_xs,V_ys,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oop_A_64_Oappend__Cons_0]) ).

cnf(cls_List_Onull_Osimps__2_0,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1),
    input ).

fof(cls_List_Onull_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_xs] :
      ( ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onull_Osimps__2_0]) ).

cnf(cls_List_Onull_Osimps__1_0,axiom,
    c_List_Onull(c_List_Olist_ONil,T_a__1),
    input ).

fof(cls_List_Onull_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Onull(c_List_Olist_ONil,T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onull_Osimps__1_0]) ).

cnf(cls_List_Onth__append__length__plus_0,axiom,
    c_List_Onth(c_append(V_xs,V_ys,T_a),c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),T_a) = c_List_Onth(V_ys,V_n,T_a),
    input ).

fof(cls_List_Onth__append__length__plus_0_0,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( c_List_Onth(c_append(V_xs,V_ys,T_a),c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),T_a) = c_List_Onth(V_ys,V_n,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onth__append__length__plus_0]) ).

cnf(cls_List_Onth__append__length_0,axiom,
    c_List_Onth(c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_y,
    input ).

fof(cls_List_Onth__append__length_0_0,plain,
    ! [T_a,V_xs,V_y,V_ys] :
      ( c_List_Onth(c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onth__append__length_0]) ).

cnf(cls_List_Onth__Cons__Suc_0,axiom,
    c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a),
    input ).

fof(cls_List_Onth__Cons__Suc_0_0,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onth__Cons__Suc_0]) ).

cnf(cls_List_Onth__Cons__0_0,axiom,
    c_List_Onth(c_List_Olist_OCons(V_y,V_xs,T_a),c_0,T_a) = V_y,
    input ).

fof(cls_List_Onth__Cons__0_0_0,plain,
    ! [T_a,V_xs,V_y] :
      ( c_List_Onth(c_List_Olist_OCons(V_y,V_xs,T_a),c_0,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onth__Cons__0_0]) ).

cnf(cls_List_Onot__Cons__self_0,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    input ).

fof(cls_List_Onot__Cons__self_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( V_xs != c_List_Olist_OCons(V_x,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onot__Cons__self_0]) ).

cnf(cls_List_Onibble_Osize__9_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__9_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__9_0]) ).

cnf(cls_List_Onibble_Osize__8_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__8_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__8_0]) ).

cnf(cls_List_Onibble_Osize__7_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__7_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__7_0]) ).

cnf(cls_List_Onibble_Osize__6_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__6_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__6_0]) ).

cnf(cls_List_Onibble_Osize__5_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__5_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__5_0]) ).

cnf(cls_List_Onibble_Osize__4_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__4_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__4_0]) ).

cnf(cls_List_Onibble_Osize__3_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__3_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__3_0]) ).

cnf(cls_List_Onibble_Osize__2_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__2_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__2_0]) ).

cnf(cls_List_Onibble_Osize__1_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__1_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__1_0]) ).

cnf(cls_List_Onibble_Osize__16_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__16_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__16_0]) ).

cnf(cls_List_Onibble_Osize__15_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__15_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__15_0]) ).

cnf(cls_List_Onibble_Osize__14_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__14_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__14_0]) ).

cnf(cls_List_Onibble_Osize__13_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__13_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__13_0]) ).

cnf(cls_List_Onibble_Osize__12_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__12_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__12_0]) ).

cnf(cls_List_Onibble_Osize__11_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__11_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__11_0]) ).

cnf(cls_List_Onibble_Osize__10_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
    input ).

fof(cls_List_Onibble_Osize__10_0_0,plain,
    ( c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Osize__10_0]) ).

cnf(cls_List_Onibble_Orecs__9_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__9_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__9_0]) ).

cnf(cls_List_Onibble_Orecs__8_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__8_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__8_0]) ).

cnf(cls_List_Onibble_Orecs__7_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__7_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__7_0]) ).

cnf(cls_List_Onibble_Orecs__6_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__6_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__6_0]) ).

cnf(cls_List_Onibble_Orecs__5_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__5_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__5_0]) ).

cnf(cls_List_Onibble_Orecs__4_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__4_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__4_0]) ).

cnf(cls_List_Onibble_Orecs__3_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__3_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__3_0]) ).

cnf(cls_List_Onibble_Orecs__2_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__2_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__2_0]) ).

cnf(cls_List_Onibble_Orecs__1_0,axiom,
    c_List_Onibble_Onibble__rec(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__1_0_0,plain,
    ! [T_a,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__1_0]) ).

cnf(cls_List_Onibble_Orecs__16_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__16_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__16_0]) ).

cnf(cls_List_Onibble_Orecs__15_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__15_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__15_0]) ).

cnf(cls_List_Onibble_Orecs__14_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__14_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__14_0]) ).

cnf(cls_List_Onibble_Orecs__13_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__13_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__13_0]) ).

cnf(cls_List_Onibble_Orecs__12_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__12_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__12_0]) ).

cnf(cls_List_Onibble_Orecs__11_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__11_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__11_0]) ).

cnf(cls_List_Onibble_Orecs__10_0,axiom,
    c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Orecs__10_0_0,plain,
    ! [T_a,V_f1,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Orecs__10_0]) ).

cnf(cls_List_Onibble_Ocases__9_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__9_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__9_0]) ).

cnf(cls_List_Onibble_Ocases__8_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__8_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__8_0]) ).

cnf(cls_List_Onibble_Ocases__7_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__7_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__7_0]) ).

cnf(cls_List_Onibble_Ocases__6_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__6_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__6_0]) ).

cnf(cls_List_Onibble_Ocases__5_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__5_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__5_0]) ).

cnf(cls_List_Onibble_Ocases__4_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__4_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__4_0]) ).

cnf(cls_List_Onibble_Ocases__3_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__3_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__3_0]) ).

cnf(cls_List_Onibble_Ocases__2_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__2_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__2_0]) ).

cnf(cls_List_Onibble_Ocases__1_0,axiom,
    c_List_Onibble_Onibble__case(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__1_0_0,plain,
    ! [T_a,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__1_0]) ).

cnf(cls_List_Onibble_Ocases__16_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__16_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__16_0]) ).

cnf(cls_List_Onibble_Ocases__15_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__15_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__15_0]) ).

cnf(cls_List_Onibble_Ocases__14_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__14_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__14_0]) ).

cnf(cls_List_Onibble_Ocases__13_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__13_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__13_0]) ).

cnf(cls_List_Onibble_Ocases__12_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__12_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__12_0]) ).

cnf(cls_List_Onibble_Ocases__11_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__11_0_0,plain,
    ! [T_a,V_f1,V_f10,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__11_0]) ).

cnf(cls_List_Onibble_Ocases__10_0,axiom,
    c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y,
    input ).

fof(cls_List_Onibble_Ocases__10_0_0,plain,
    ! [T_a,V_f1,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Onibble_Ocases__10_0]) ).

cnf(cls_List_Olistset_Osimps__2_0,axiom,
    c_List_Olistset(c_List_Olist_OCons(V_A,V_As,tc_set(T_a__1)),T_a__1) = c_List_Oset__Cons(V_A,c_List_Olistset(V_As,T_a__1),T_a__1),
    input ).

fof(cls_List_Olistset_Osimps__2_0_0,plain,
    ! [T_a__1,V_A,V_As] :
      ( c_List_Olistset(c_List_Olist_OCons(V_A,V_As,tc_set(T_a__1)),T_a__1) = c_List_Oset__Cons(V_A,c_List_Olistset(V_As,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olistset_Osimps__2_0]) ).

cnf(cls_List_Olistset_Osimps__1_0,axiom,
    c_List_Olistset(c_List_Olist_ONil,T_a__1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a__1)),
    input ).

fof(cls_List_Olistset_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Olistset(c_List_Olist_ONil,T_a__1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a__1))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olistset_Osimps__1_0]) ).

cnf(cls_List_Olists__UNIV_0,axiom,
    c_List_Olists(c_UNIV,T_a) = c_UNIV,
    input ).

fof(cls_List_Olists__UNIV_0_0,plain,
    ! [T_a] :
      ( c_List_Olists(c_UNIV,T_a) = c_UNIV
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olists__UNIV_0]) ).

cnf(cls_List_Olists__Int__eq_0,axiom,
    c_List_Olists(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_List_Olists(V_A,T_a),c_List_Olists(V_B,T_a),tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olists__Int__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_List_Olists(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_List_Olists(V_A,T_a),c_List_Olists(V_B,T_a),tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olists__Int__eq_0]) ).

cnf(cls_List_Olistrel__Nil_0,axiom,
    c_Relation_OImage(c_List_Olistrel(V_r,T_a),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_List_Olist(T_a)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olistrel__Nil_0_0,plain,
    ! [T_a,V_r] :
      ( c_Relation_OImage(c_List_Olistrel(V_r,T_a),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_List_Olist(T_a)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olistrel__Nil_0]) ).

cnf(cls_List_Olist__update__length_0,axiom,
    c_List_Olist__update(c_append(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),
    input ).

fof(cls_List_Olist__update__length_0_0,plain,
    ! [T_a,V_x,V_xs,V_y,V_ys] :
      ( c_List_Olist__update(c_append(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist__update__length_0]) ).

cnf(cls_List_Olist__update_Osimps__1_0,axiom,
    c_List_Olist__update(c_List_Olist_ONil,V_i,V_v,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Olist__update_Osimps__1_0_0,plain,
    ! [T_a__1,V_i,V_v] :
      ( c_List_Olist__update(c_List_Olist_ONil,V_i,V_v,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist__update_Osimps__1_0]) ).

cnf(cls_List_Olist__inter_Osimps__1_0,axiom,
    c_List_Olist__inter(c_List_Olist_ONil,V_bs,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Olist__inter_Osimps__1_0_0,plain,
    ! [T_a__1,V_bs] :
      ( c_List_Olist__inter(c_List_Olist_ONil,V_bs,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist__inter_Osimps__1_0]) ).

cnf(cls_List_Olist_Osize__2_0,axiom,
    c_Nat_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_0),tc_nat),
    input ).

fof(cls_List_Olist_Osize__2_0_0,plain,
    ! [T_a,V_a,V_list] :
      ( c_Nat_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_0),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist_Osize__2_0]) ).

cnf(cls_List_Olist_Odistinct__2_0,axiom,
    c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
    input ).

fof(cls_List_Olist_Odistinct__2_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist_Odistinct__2_0]) ).

cnf(cls_List_Olist_Odistinct__1_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    input ).

fof(cls_List_Olist_Odistinct__1_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olist_Odistinct__1_0]) ).

cnf(cls_List_Olexord__Nil__right_0,axiom,
    ~ c_in(c_Pair(V_x,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
    input ).

fof(cls_List_Olexord__Nil__right_0_0,plain,
    ! [T_a,V_r,V_x] :
      ( ~ c_in(c_Pair(V_x,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olexord__Nil__right_0]) ).

cnf(cls_List_Olexord__Nil__left_1,axiom,
    c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(V_U,V_V,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
    input ).

fof(cls_List_Olexord__Nil__left_1_0,plain,
    ! [T_a,V_U,V_V,V_r] :
      ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(V_U,V_V,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olexord__Nil__left_1]) ).

cnf(cls_List_Olexn_Osimps__1_0,axiom,
    c_List_Olexn(V_r,c_0,T_a__1) = c_emptyset,
    input ).

fof(cls_List_Olexn_Osimps__1_0_0,plain,
    ! [T_a__1,V_r] :
      ( c_List_Olexn(V_r,c_0,T_a__1) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olexn_Osimps__1_0]) ).

cnf(cls_List_Olength__zip_0,axiom,
    c_Nat_Osize(c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_List_Olist(tc_prod(T_a,T_b))) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_b)),tc_nat),
    input ).

fof(cls_List_Olength__zip_0_0,plain,
    ! [T_a,T_b,V_xs,V_ys] :
      ( c_Nat_Osize(c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_List_Olist(tc_prod(T_a,T_b))) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_b)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__zip_0]) ).

cnf(cls_List_Olength__upt_0,axiom,
    c_Nat_Osize(c_List_Oupt(V_i,V_j),tc_List_Olist(tc_nat)) = c_minus(V_j,V_i,tc_nat),
    input ).

fof(cls_List_Olength__upt_0_0,plain,
    ! [V_i,V_j] :
      ( c_Nat_Osize(c_List_Oupt(V_i,V_j),tc_List_Olist(tc_nat)) = c_minus(V_j,V_i,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__upt_0]) ).

cnf(cls_List_Olength__tl_0,axiom,
    c_Nat_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat),
    input ).

fof(cls_List_Olength__tl_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__tl_0]) ).

cnf(cls_List_Olength__take_0,axiom,
    c_Nat_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),
    input ).

fof(cls_List_Olength__take_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_Nat_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__take_0]) ).

cnf(cls_List_Olength__rotate_0,axiom,
    c_Nat_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olength__rotate_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_Nat_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__rotate_0]) ).

cnf(cls_List_Olength__rotate1_0,axiom,
    c_Nat_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olength__rotate1_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__rotate1_0]) ).

cnf(cls_List_Olength__rev_0,axiom,
    c_Nat_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olength__rev_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__rev_0]) ).

cnf(cls_List_Olength__replicate_0,axiom,
    c_Nat_Osize(c_List_Oreplicate(V_y,V_x,T_a),tc_List_Olist(T_a)) = V_y,
    input ).

fof(cls_List_Olength__replicate_0_0,plain,
    ! [T_a,V_x,V_y] :
      ( c_Nat_Osize(c_List_Oreplicate(V_y,V_x,T_a),tc_List_Olist(T_a)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__replicate_0]) ).

cnf(cls_List_Olength__list__update_0,axiom,
    c_Nat_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olength__list__update_0_0,plain,
    ! [T_a,V_i,V_x,V_xs] :
      ( c_Nat_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__list__update_0]) ).

cnf(cls_List_Olength__greater__0__conv_0,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
    input ).

fof(cls_List_Olength__greater__0__conv_0_0,plain,
    ! [T_a] :
      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__greater__0__conv_0]) ).

cnf(cls_List_Olength__drop_0,axiom,
    c_Nat_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),
    input ).

fof(cls_List_Olength__drop_0_0,plain,
    ! [T_a,V_n,V_xs] :
      ( c_Nat_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__drop_0]) ).

cnf(cls_List_Olength__butlast_0,axiom,
    c_Nat_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat),
    input ).

fof(cls_List_Olength__butlast_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__butlast_0]) ).

cnf(cls_List_Olength__append_0,axiom,
    c_Nat_Osize(c_append(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_a)),tc_nat),
    input ).

fof(cls_List_Olength__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_Nat_Osize(c_append(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_a)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__append_0]) ).

cnf(cls_List_Olength__0__conv_1,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0,
    input ).

fof(cls_List_Olength__0__conv_1_0,plain,
    ! [T_a] :
      ( c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__0__conv_1]) ).

cnf(cls_List_Olast__snoc_0,axiom,
    c_List_Olast(c_append(V_xs,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = V_y,
    input ).

fof(cls_List_Olast__snoc_0_0,plain,
    ! [T_a,V_xs,V_y] :
      ( c_List_Olast(c_append(V_xs,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olast__snoc_0]) ).

cnf(cls_List_Olast__appendL_0,axiom,
    c_List_Olast(c_append(V_xs,c_List_Olist_ONil,T_a),T_a) = c_List_Olast(V_xs,T_a),
    input ).

fof(cls_List_Olast__appendL_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Olast(c_append(V_xs,c_List_Olist_ONil,T_a),T_a) = c_List_Olast(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olast__appendL_0]) ).

cnf(cls_List_Olast_Osimps_0,axiom,
    c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = V_x,
    input ).

fof(cls_List_Olast_Osimps_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olast_Osimps_0]) ).

cnf(cls_List_Oitrev_Osimps__2_0,axiom,
    c_List_Oitrev(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Oitrev(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a__1),T_a__1),
    input ).

fof(cls_List_Oitrev_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_xs,V_ys] :
      ( c_List_Oitrev(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Oitrev(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oitrev_Osimps__2_0]) ).

cnf(cls_List_Oitrev_Osimps__1_0,axiom,
    c_List_Oitrev(c_List_Olist_ONil,V_y,T_a__1) = V_y,
    input ).

fof(cls_List_Oitrev_Osimps__1_0_0,plain,
    ! [T_a__1,V_y] :
      ( c_List_Oitrev(c_List_Olist_ONil,V_y,T_a__1) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oitrev_Osimps__1_0]) ).

cnf(cls_List_Oitrev_0,axiom,
    c_List_Oitrev(V_xs,V_x,T_a) = c_append(c_List_Orev(V_xs,T_a),V_x,T_a),
    input ).

fof(cls_List_Oitrev_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Oitrev(V_xs,V_x,T_a) = c_append(c_List_Orev(V_xs,T_a),V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oitrev_0]) ).

cnf(cls_List_Ohd_Osimps_0,axiom,
    c_List_Ohd(c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = V_y,
    input ).

fof(cls_List_Ohd_Osimps_0_0,plain,
    ! [T_a,V_xs,V_y] :
      ( c_List_Ohd(c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ohd_Osimps_0]) ).

cnf(cls_List_Odrop__upt_0,axiom,
    c_List_Odrop(V_m,c_List_Oupt(V_i,V_j),tc_nat) = c_List_Oupt(c_plus(V_i,V_m,tc_nat),V_j),
    input ).

fof(cls_List_Odrop__upt_0_0,plain,
    ! [V_i,V_j,V_m] :
      ( c_List_Odrop(V_m,c_List_Oupt(V_i,V_j),tc_nat) = c_List_Oupt(c_plus(V_i,V_m,tc_nat),V_j)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__upt_0]) ).

cnf(cls_List_Odrop__replicate_0,axiom,
    c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_minus(V_k,V_i,tc_nat),V_x,T_a),
    input ).

fof(cls_List_Odrop__replicate_0_0,plain,
    ! [T_a,V_i,V_k,V_x] :
      ( c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_minus(V_k,V_i,tc_nat),V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__replicate_0]) ).

cnf(cls_List_Odrop__drop_0,axiom,
    c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_plus(V_n,V_m,tc_nat),V_xs,T_a),
    input ).

fof(cls_List_Odrop__drop_0_0,plain,
    ! [T_a,V_m,V_n,V_xs] :
      ( c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_plus(V_n,V_m,tc_nat),V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__drop_0]) ).

cnf(cls_List_Odrop__append_0,axiom,
    c_List_Odrop(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a),
    input ).

fof(cls_List_Odrop__append_0_0,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( c_List_Odrop(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__append_0]) ).

cnf(cls_List_Odrop__Suc__Cons_0,axiom,
    c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a),
    input ).

fof(cls_List_Odrop__Suc__Cons_0_0,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__Suc__Cons_0]) ).

cnf(cls_List_Odrop__0_0,axiom,
    c_List_Odrop(c_0,V_y,T_a) = V_y,
    input ).

fof(cls_List_Odrop__0_0_0,plain,
    ! [T_a,V_y] :
      ( c_List_Odrop(c_0,V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop__0_0]) ).

cnf(cls_List_Odrop_Odrop__Nil_0,axiom,
    c_List_Odrop(V_n,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Odrop_Odrop__Nil_0_0,plain,
    ! [T_a__1,V_n] :
      ( c_List_Odrop(V_n,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odrop_Odrop__Nil_0]) ).

cnf(cls_List_Odistinct__upt_0,axiom,
    c_List_Odistinct(c_List_Oupt(V_i,V_j),tc_nat),
    input ).

fof(cls_List_Odistinct__upt_0_0,plain,
    ! [V_i,V_j] :
      ( c_List_Odistinct(c_List_Oupt(V_i,V_j),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odistinct__upt_0]) ).

cnf(cls_List_Odistinct_Osimps__1_0,axiom,
    c_List_Odistinct(c_List_Olist_ONil,T_a__1),
    input ).

fof(cls_List_Odistinct_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Odistinct(c_List_Olist_ONil,T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odistinct_Osimps__1_0]) ).

cnf(cls_List_Oconcat__append_0,axiom,
    c_List_Oconcat(c_append(V_xs,V_ys,tc_List_Olist(T_a)),T_a) = c_append(c_List_Oconcat(V_xs,T_a),c_List_Oconcat(V_ys,T_a),T_a),
    input ).

fof(cls_List_Oconcat__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_List_Oconcat(c_append(V_xs,V_ys,tc_List_Olist(T_a)),T_a) = c_append(c_List_Oconcat(V_xs,T_a),c_List_Oconcat(V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oconcat__append_0]) ).

cnf(cls_List_Oconcat_Osimps__2_0,axiom,
    c_List_Oconcat(c_List_Olist_OCons(V_x,V_xs,tc_List_Olist(T_a__1)),T_a__1) = c_append(V_x,c_List_Oconcat(V_xs,T_a__1),T_a__1),
    input ).

fof(cls_List_Oconcat_Osimps__2_0_0,plain,
    ! [T_a__1,V_x,V_xs] :
      ( c_List_Oconcat(c_List_Olist_OCons(V_x,V_xs,tc_List_Olist(T_a__1)),T_a__1) = c_append(V_x,c_List_Oconcat(V_xs,T_a__1),T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oconcat_Osimps__2_0]) ).

cnf(cls_List_Oconcat_Osimps__1_0,axiom,
    c_List_Oconcat(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oconcat_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Oconcat(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oconcat_Osimps__1_0]) ).

cnf(cls_List_Ochar_Osize_0,axiom,
    c_Nat_Osize(c_List_Ochar_OChar(V_nibble1,V_nibble2),tc_List_Ochar) = c_0,
    input ).

fof(cls_List_Ochar_Osize_0_0,plain,
    ! [V_nibble1,V_nibble2] :
      ( c_Nat_Osize(c_List_Ochar_OChar(V_nibble1,V_nibble2),tc_List_Ochar) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ochar_Osize_0]) ).

cnf(cls_List_Obutlast__snoc_0,axiom,
    c_List_Obutlast(c_append(V_y,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a),T_a) = V_y,
    input ).

fof(cls_List_Obutlast__snoc_0_0,plain,
    ! [T_a,V_x,V_y] :
      ( c_List_Obutlast(c_append(V_y,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Obutlast__snoc_0]) ).

cnf(cls_List_Obutlast_Osimps__2_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Obutlast_Osimps__2_0_0,plain,
    ! [T_a__1,V_x] :
      ( c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Obutlast_Osimps__2_0]) ).

cnf(cls_List_Obutlast_Osimps__1_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil,
    input ).

fof(cls_List_Obutlast_Osimps__1_0_0,plain,
    ! [T_a__1] :
      ( c_List_Obutlast(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Obutlast_Osimps__1_0]) ).

cnf(cls_List_Oappend__take__drop__id_0,axiom,
    c_append(c_List_Otake(V_n,V_y,T_a),c_List_Odrop(V_n,V_y,T_a),T_a) = V_y,
    input ).

fof(cls_List_Oappend__take__drop__id_0_0,plain,
    ! [T_a,V_n,V_y] :
      ( c_append(c_List_Otake(V_n,V_y,T_a),c_List_Odrop(V_n,V_y,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oappend__take__drop__id_0]) ).

cnf(cls_List_Oappend__self__conv_1,axiom,
    c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs,
    input ).

fof(cls_List_Oappend__self__conv_1_0,plain,
    ! [T_a,V_xs] :
      ( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oappend__self__conv_1]) ).

cnf(cls_List_Oappend__self__conv2_1,axiom,
    c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys,
    input ).

fof(cls_List_Oappend__self__conv2_1_0,plain,
    ! [T_a,V_ys] :
      ( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oappend__self__conv2_1]) ).

cnf(cls_List_Oappend__is__Nil__conv_2,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil,
    input ).

fof(cls_List_Oappend__is__Nil__conv_2_0,plain,
    ! [T_a] :
      ( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oappend__is__Nil__conv_2]) ).

cnf(cls_List_Oappend__assoc_0,axiom,
    c_append(c_append(V_xs,V_ys,T_a),V_zs,T_a) = c_append(V_xs,c_append(V_ys,V_zs,T_a),T_a),
    input ).

fof(cls_List_Oappend__assoc_0_0,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( c_append(c_append(V_xs,V_ys,T_a),V_zs,T_a) = c_append(V_xs,c_append(V_ys,V_zs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Oappend__assoc_0]) ).

cnf(cls_List_ONil__notin__lex_0,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
    input ).

fof(cls_List_ONil__notin__lex_0_0,plain,
    ! [T_a,V_r,V_ys] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_ONil__notin__lex_0]) ).

cnf(cls_List_ONil__is__rev__conv_1,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_ONil__is__rev__conv_1_0,plain,
    ! [T_a] :
      ( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_ONil__is__rev__conv_1]) ).

cnf(cls_List_ONil__is__append__conv_2,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a),
    input ).

fof(cls_List_ONil__is__append__conv_2_0,plain,
    ! [T_a] :
      ( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil
      | $false ),
    inference(orientation,[status(thm)],[cls_List_ONil__is__append__conv_2]) ).

cnf(cls_List_ONil2__notin__lex_0,axiom,
    ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
    input ).

fof(cls_List_ONil2__notin__lex_0_0,plain,
    ! [T_a,V_r,V_xs] :
      ( ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_ONil2__notin__lex_0]) ).

cnf(cls_IntDiv_Ozmod__zmult__self2_0,axiom,
    c_Divides_Oop_Amod(c_times(V_b,V_a,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__zmult__self2_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_times(V_b,V_a,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zmult__self2_0]) ).

cnf(cls_IntDiv_Ozmod__zmult__self1_0,axiom,
    c_Divides_Oop_Amod(c_times(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__zmult__self1_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_times(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zmult__self1_0]) ).

cnf(cls_IntDiv_Ozmod__zminus__zminus_0,axiom,
    c_Divides_Oop_Amod(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozmod__zminus__zminus_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zminus__zminus_0]) ).

cnf(cls_IntDiv_Ozmod__zero_0,axiom,
    c_Divides_Oop_Amod(c_0,V_b,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__zero_0_0,plain,
    ! [V_b] :
      ( c_Divides_Oop_Amod(c_0,V_b,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zero_0]) ).

cnf(cls_IntDiv_Ozmod__zadd__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_b,V_a,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozmod__zadd__self2_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_plus(V_b,V_a,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zadd__self2_0]) ).

cnf(cls_IntDiv_Ozmod__zadd__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_a,V_b,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozmod__zadd__self1_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_plus(V_a,V_b,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__zadd__self1_0]) ).

cnf(cls_IntDiv_Ozmod__self_0,axiom,
    c_Divides_Oop_Amod(V_a,V_a,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__self_0_0,plain,
    ! [V_a] :
      ( c_Divides_Oop_Amod(V_a,V_a,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__self_0]) ).

cnf(cls_IntDiv_Ozmod__minus1__right_0,axiom,
    c_Divides_Oop_Amod(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__minus1__right_0_0,plain,
    ! [V_a] :
      ( c_Divides_Oop_Amod(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__minus1__right_0]) ).

cnf(cls_IntDiv_Ozmod__1_0,axiom,
    c_Divides_Oop_Amod(V_a,c_1,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozmod__1_0_0,plain,
    ! [V_a] :
      ( c_Divides_Oop_Amod(V_a,c_1,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozmod__1_0]) ).

cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_2,axiom,
    c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozero__less__zpower__abs__iff_2_0,plain,
    ! [V_x] :
      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozero__less__zpower__abs__iff_2]) ).

cnf(cls_IntDiv_Ozero__le__zpower__abs_0,axiom,
    c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozero__le__zpower__abs_0_0,plain,
    ! [V_n,V_x] :
      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozero__le__zpower__abs_0]) ).

cnf(cls_IntDiv_Ozdvd__refl_0,axiom,
    c_Divides_Oop_Advd(V_m,V_m,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__refl_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Advd(V_m,V_m,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__refl_0]) ).

cnf(cls_IntDiv_Ozdvd__0__left_1,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__0__left_1_0,plain,
    ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__0__left_1]) ).

cnf(cls_IntDiv_Ozdiv__zminus__zminus_0,axiom,
    c_div(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(V_a,V_b,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdiv__zminus__zminus_0_0,plain,
    ! [V_a,V_b] :
      ( c_div(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(V_a,V_b,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdiv__zminus__zminus_0]) ).

cnf(cls_IntDiv_Ozdiv__zero_0,axiom,
    c_div(c_0,V_b,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Ozdiv__zero_0_0,plain,
    ! [V_b] :
      ( c_div(c_0,V_b,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdiv__zero_0]) ).

cnf(cls_IntDiv_Ozdiv__number__of__BIT_0,axiom,
    c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdiv__number__of__BIT_0_0,plain,
    ! [V_v,V_w] :
      ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdiv__number__of__BIT_0]) ).

cnf(cls_IntDiv_Ozdiv__minus1__right_0,axiom,
    c_div(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(V_a,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdiv__minus1__right_0_0,plain,
    ! [V_a] :
      ( c_div(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(V_a,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdiv__minus1__right_0]) ).

cnf(cls_IntDiv_Ozdiv__1_0,axiom,
    c_div(V_y,c_1,tc_IntDef_Oint) = V_y,
    input ).

fof(cls_IntDiv_Ozdiv__1_0_0,plain,
    ! [V_y] :
      ( c_div(V_y,c_1,tc_IntDef_Oint) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdiv__1_0]) ).

cnf(cls_IntDiv_Opower_Osimps__2_0,axiom,
    c_Nat_Opower(V_p,c_Suc(V_n),tc_IntDef_Oint) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Opower_Osimps__2_0_0,plain,
    ! [V_n,V_p] :
      ( c_Nat_Opower(V_p,c_Suc(V_n),tc_IntDef_Oint) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Opower_Osimps__2_0]) ).

cnf(cls_IntDiv_Opower_Osimps__1_0,axiom,
    c_Nat_Opower(V_p,c_0,tc_IntDef_Oint) = c_1,
    input ).

fof(cls_IntDiv_Opower_Osimps__1_0_0,plain,
    ! [V_p] :
      ( c_Nat_Opower(V_p,c_0,tc_IntDef_Oint) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Opower_Osimps__1_0]) ).

cnf(cls_IntDiv_OposDivAlg__0_0,axiom,
    c_IntDiv_OposDivAlg(c_Pair(c_0,V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_OposDivAlg__0_0_0,plain,
    ! [V_b] :
      ( c_IntDiv_OposDivAlg(c_Pair(c_0,V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_OposDivAlg__0_0]) ).

cnf(cls_IntDiv_OnegateSnd__eq_0,axiom,
    c_IntDiv_OnegateSnd(c_Pair(V_q,V_r,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(V_q,c_uminus(V_r,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_OnegateSnd__eq_0_0,plain,
    ! [V_q,V_r] :
      ( c_IntDiv_OnegateSnd(c_Pair(V_q,V_r,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(V_q,c_uminus(V_r,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_OnegateSnd__eq_0]) ).

cnf(cls_IntDiv_OnegDivAlg__minus1_0,axiom,
    c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(V_b,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_OnegDivAlg__minus1_0_0,plain,
    ! [V_b] :
      ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(V_b,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_OnegDivAlg__minus1_0]) ).

cnf(cls_IntDiv_Omod__mod__trivial_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Omod__mod__trivial_0_0,plain,
    ! [V_a,V_b] :
      ( c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Omod__mod__trivial_0]) ).

cnf(cls_IntDiv_Omod__div__trivial_0,axiom,
    c_div(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0,
    input ).

fof(cls_IntDiv_Omod__div__trivial_0_0,plain,
    ! [V_a,V_b] :
      ( c_div(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Omod__div__trivial_0]) ).

cnf(cls_IntDiv_ODIVISION__BY__ZERO_0,axiom,
    c_Divides_Oop_Amod(V_y,c_0,tc_IntDef_Oint) = V_y,
    input ).

fof(cls_IntDiv_ODIVISION__BY__ZERO_0_0,plain,
    ! [V_y] :
      ( c_Divides_Oop_Amod(V_y,c_0,tc_IntDef_Oint) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_ODIVISION__BY__ZERO_0]) ).

cnf(cls_IntDef_Ozero__zle__int_0,axiom,
    c_lessequals(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Ozero__zle__int_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Ozero__zle__int_0]) ).

cnf(cls_IntDef_Onot__zle__0__negative_0,axiom,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Onot__zle__0__negative_0_0,plain,
    ! [V_n] :
      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onot__zle__0__negative_0]) ).

cnf(cls_IntDef_Onot__neg__int_0,axiom,
    ~ c_IntDef_Oneg(c_IntDef_Oint(V_n),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Onot__neg__int_0_0,plain,
    ! [V_n] :
      ( ~ c_IntDef_Oneg(c_IntDef_Oint(V_n),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onot__neg__int_0]) ).

cnf(cls_IntDef_Onot__int__zless__negative_0,axiom,
    ~ c_less(c_IntDef_Oint(V_n),c_uminus(c_IntDef_Oint(V_m),tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Onot__int__zless__negative_0_0,plain,
    ! [V_m,V_n] :
      ( ~ c_less(c_IntDef_Oint(V_n),c_uminus(c_IntDef_Oint(V_m),tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onot__int__zless__negative_0]) ).

cnf(cls_IntDef_Onegative__eq__positive_2,axiom,
    c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0),
    input ).

fof(cls_IntDef_Onegative__eq__positive_2_0,plain,
    ( c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0)
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onegative__eq__positive_2]) ).

cnf(cls_IntDef_Oneg__zminus__int_0,axiom,
    c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Oneg__zminus__int_0_0,plain,
    ! [V_n] :
      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oneg__zminus__int_0]) ).

cnf(cls_IntDef_Onat__zminus__int_0,axiom,
    c_IntDef_Onat(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint)) = c_0,
    input ).

fof(cls_IntDef_Onat__zminus__int_0_0,plain,
    ! [V_n] :
      ( c_IntDef_Onat(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onat__zminus__int_0]) ).

cnf(cls_IntDef_Onat__zero_0,axiom,
    c_IntDef_Onat(c_0) = c_0,
    input ).

fof(cls_IntDef_Onat__zero_0_0,plain,
    ( c_IntDef_Onat(c_0) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onat__zero_0]) ).

cnf(cls_IntDef_Onat__int_0,axiom,
    c_IntDef_Onat(c_IntDef_Oint(V_y)) = V_y,
    input ).

fof(cls_IntDef_Onat__int_0_0,plain,
    ! [V_y] :
      ( c_IntDef_Onat(c_IntDef_Oint(V_y)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onat__int_0]) ).

cnf(cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0,axiom,
    c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(V_x,V_y,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))),
    input ).

fof(cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0_0,plain,
    ! [V_x,V_y] :
      ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(V_x,V_y,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0]) ).

cnf(cls_IntDef_Oint__less__0__conv_0,axiom,
    ~ c_less(c_IntDef_Oint(V_k),c_0,tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Oint__less__0__conv_0_0,plain,
    ! [V_k] :
      ( ~ c_less(c_IntDef_Oint(V_k),c_0,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__less__0__conv_0]) ).

cnf(cls_IntDef_Oint__le__0__conv_1,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Oint__le__0__conv_1_0,plain,
    ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__le__0__conv_1]) ).

cnf(cls_IntDef_Oint__eq__0__conv_1,axiom,
    c_IntDef_Oint(c_0) = c_0,
    input ).

fof(cls_IntDef_Oint__eq__0__conv_1_0,plain,
    ( c_IntDef_Oint(c_0) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__eq__0__conv_1]) ).

cnf(cls_IntDef_Oint__Suc_0,axiom,
    c_IntDef_Oint(c_Suc(V_m)) = c_plus(c_1,c_IntDef_Oint(V_m),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Oint__Suc_0_0,plain,
    ! [V_m] :
      ( c_IntDef_Oint(c_Suc(V_m)) = c_plus(c_1,c_IntDef_Oint(V_m),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__Suc_0]) ).

cnf(cls_IntDef_Oint__1_0,axiom,
    c_IntDef_Oint(c_1) = c_1,
    input ).

fof(cls_IntDef_Oint__1_0_0,plain,
    ( c_IntDef_Oint(c_1) = c_1
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__1_0]) ).

cnf(cls_IntDef_Oint__0__neq__1_0,axiom,
    c_0 != c_1,
    input ).

fof(cls_IntDef_Oint__0__neq__1_0_0,plain,
    ( c_0 != c_1
    | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oint__0__neq__1_0]) ).

cnf(cls_IntDef_Oabs__int__eq_0,axiom,
    c_HOL_Oabs(c_IntDef_Oint(V_m),tc_IntDef_Oint) = c_IntDef_Oint(V_m),
    input ).

fof(cls_IntDef_Oabs__int__eq_0_0,plain,
    ! [V_m] :
      ( c_HOL_Oabs(c_IntDef_Oint(V_m),tc_IntDef_Oint) = c_IntDef_Oint(V_m)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Oabs__int__eq_0]) ).

cnf(cls_IntArith_Ozabs__less__one__iff_1,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    input ).

fof(cls_IntArith_Ozabs__less__one__iff_1_0,plain,
    ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[cls_IntArith_Ozabs__less__one__iff_1]) ).

cnf(cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0,axiom,
    c_plus(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(V_z,V_w,tc_IntDef_Oint),
    input ).

fof(cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0_0,plain,
    ! [V_w,V_z] :
      ( c_plus(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(V_z,V_w,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0]) ).

cnf(cls_IntArith_Onat__1_0,axiom,
    c_IntDef_Onat(c_1) = c_Suc(c_0),
    input ).

fof(cls_IntArith_Onat__1_0_0,plain,
    ( c_IntDef_Onat(c_1) = c_Suc(c_0)
    | $false ),
    inference(orientation,[status(thm)],[cls_IntArith_Onat__1_0]) ).

cnf(cls_Infinite__Set_Onat__infinite_0,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_Infinite__Set_Onat__infinite_0_0,plain,
    ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat))
    | $false ),
    inference(orientation,[status(thm)],[cls_Infinite__Set_Onat__infinite_0]) ).

cnf(cls_GCD_Ogcd__self_0,axiom,
    c_GCD_Ogcd(c_Pair(V_y,V_y,tc_nat,tc_nat)) = V_y,
    input ).

fof(cls_GCD_Ogcd__self_0_0,plain,
    ! [V_y] :
      ( c_GCD_Ogcd(c_Pair(V_y,V_y,tc_nat,tc_nat)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__self_0]) ).

cnf(cls_GCD_Ogcd__mult_0,axiom,
    c_GCD_Ogcd(c_Pair(V_y,c_times(V_y,V_n,tc_nat),tc_nat,tc_nat)) = V_y,
    input ).

fof(cls_GCD_Ogcd__mult_0_0,plain,
    ! [V_n,V_y] :
      ( c_GCD_Ogcd(c_Pair(V_y,c_times(V_y,V_n,tc_nat),tc_nat,tc_nat)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__mult_0]) ).

cnf(cls_GCD_Ogcd__add2_H_0,axiom,
    c_GCD_Ogcd(c_Pair(V_m,c_plus(V_n,V_m,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),
    input ).

fof(cls_GCD_Ogcd__add2_H_0_0,plain,
    ! [V_m,V_n] :
      ( c_GCD_Ogcd(c_Pair(V_m,c_plus(V_n,V_m,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__add2_H_0]) ).

cnf(cls_GCD_Ogcd__add2_0,axiom,
    c_GCD_Ogcd(c_Pair(V_m,c_plus(V_m,V_n,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),
    input ).

fof(cls_GCD_Ogcd__add2_0_0,plain,
    ! [V_m,V_n] :
      ( c_GCD_Ogcd(c_Pair(V_m,c_plus(V_m,V_n,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__add2_0]) ).

cnf(cls_GCD_Ogcd__add1_0,axiom,
    c_GCD_Ogcd(c_Pair(c_plus(V_m,V_n,tc_nat),V_n,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),
    input ).

fof(cls_GCD_Ogcd__add1_0_0,plain,
    ! [V_m,V_n] :
      ( c_GCD_Ogcd(c_Pair(c_plus(V_m,V_n,tc_nat),V_n,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__add1_0]) ).

cnf(cls_GCD_Ogcd__1__left_0,axiom,
    c_GCD_Ogcd(c_Pair(c_Suc(c_0),V_m,tc_nat,tc_nat)) = c_1,
    input ).

fof(cls_GCD_Ogcd__1__left_0_0,plain,
    ! [V_m] :
      ( c_GCD_Ogcd(c_Pair(c_Suc(c_0),V_m,tc_nat,tc_nat)) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__1__left_0]) ).

cnf(cls_GCD_Ogcd__1_0,axiom,
    c_GCD_Ogcd(c_Pair(V_m,c_Suc(c_0),tc_nat,tc_nat)) = c_1,
    input ).

fof(cls_GCD_Ogcd__1_0_0,plain,
    ! [V_m] :
      ( c_GCD_Ogcd(c_Pair(V_m,c_Suc(c_0),tc_nat,tc_nat)) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__1_0]) ).

cnf(cls_GCD_Ogcd__0__left_0,axiom,
    c_GCD_Ogcd(c_Pair(c_0,V_y,tc_nat,tc_nat)) = V_y,
    input ).

fof(cls_GCD_Ogcd__0__left_0_0,plain,
    ! [V_y] :
      ( c_GCD_Ogcd(c_Pair(c_0,V_y,tc_nat,tc_nat)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__0__left_0]) ).

cnf(cls_GCD_Ogcd__0_0,axiom,
    c_GCD_Ogcd(c_Pair(V_y,c_0,tc_nat,tc_nat)) = V_y,
    input ).

fof(cls_GCD_Ogcd__0_0_0,plain,
    ! [V_y] :
      ( c_GCD_Ogcd(c_Pair(V_y,c_0,tc_nat,tc_nat)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__0_0]) ).

cnf(cls_Fun_Oid__apply_0,axiom,
    c_Fun_Oid(V_y,T_a) = V_y,
    input ).

fof(cls_Fun_Oid__apply_0_0,plain,
    ! [T_a,V_y] :
      ( c_Fun_Oid(V_y,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Fun_Oid__apply_0]) ).

cnf(cls_Finite__Set_Oof__nat__id_0,axiom,
    c_NatArith_Oof__nat(V_y,tc_nat) = V_y,
    input ).

fof(cls_Finite__Set_Oof__nat__id_0_0,plain,
    ! [V_y] :
      ( c_NatArith_Oof__nat(V_y,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Finite__Set_Oof__nat__id_0]) ).

cnf(cls_Finite__Set_Ocard__empty_0,axiom,
    c_Finite__Set_Ocard(c_emptyset,T_a) = c_0,
    input ).

fof(cls_Finite__Set_Ocard__empty_0_0,plain,
    ! [T_a] :
      ( c_Finite__Set_Ocard(c_emptyset,T_a) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Finite__Set_Ocard__empty_0]) ).

cnf(cls_Extraction_Osumbool_Osize__2_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0,
    input ).

fof(cls_Extraction_Osumbool_Osize__2_0_0,plain,
    ( c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Osize__2_0]) ).

cnf(cls_Extraction_Osumbool_Osize__1_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0,
    input ).

fof(cls_Extraction_Osumbool_Osize__1_0_0,plain,
    ( c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Osize__1_0]) ).

cnf(cls_Extraction_Osumbool_Orecs__2_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y,
    input ).

fof(cls_Extraction_Osumbool_Orecs__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Extraction_Osumbool_Osumbool__rec(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Orecs__2_0]) ).

cnf(cls_Extraction_Osumbool_Orecs__1_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y,
    input ).

fof(cls_Extraction_Osumbool_Orecs__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Extraction_Osumbool_Osumbool__rec(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Orecs__1_0]) ).

cnf(cls_Extraction_Osumbool_Odistinct__2_0,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    input ).

fof(cls_Extraction_Osumbool_Odistinct__2_0_0,plain,
    ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft
    | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Odistinct__2_0]) ).

cnf(cls_Extraction_Osumbool_Odistinct__1_0,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    input ).

fof(cls_Extraction_Osumbool_Odistinct__1_0_0,plain,
    ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight
    | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Odistinct__1_0]) ).

cnf(cls_Extraction_Osumbool_Ocases__2_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y,
    input ).

fof(cls_Extraction_Osumbool_Ocases__2_0_0,plain,
    ! [T_a,V_f1,V_y] :
      ( c_Extraction_Osumbool_Osumbool__case(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Ocases__2_0]) ).

cnf(cls_Extraction_Osumbool_Ocases__1_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y,
    input ).

fof(cls_Extraction_Osumbool_Ocases__1_0_0,plain,
    ! [T_a,V_f2,V_y] :
      ( c_Extraction_Osumbool_Osumbool__case(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Extraction_Osumbool_Ocases__1_0]) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty_1,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset,
    input ).

fof(cls_Equiv__Relations_Oquotient__is__empty_1_0,plain,
    ! [T_a,V_r] :
      ( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty_1]) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2_1,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a),
    input ).

fof(cls_Equiv__Relations_Oquotient__is__empty2_1_0,plain,
    ! [T_a,V_r] :
      ( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty2_1]) ).

cnf(cls_Divides_Onat__mod__mod__trivial_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat),
    input ).

fof(cls_Divides_Onat__mod__mod__trivial_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Onat__mod__mod__trivial_0]) ).

cnf(cls_Divides_Onat__mod__div__trivial_0,axiom,
    c_div(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_0,
    input ).

fof(cls_Divides_Onat__mod__div__trivial_0_0,plain,
    ! [V_m,V_n] :
      ( c_div(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Onat__mod__div__trivial_0]) ).

cnf(cls_Divides_Omod__self_0,axiom,
    c_Divides_Oop_Amod(V_n,V_n,tc_nat) = c_0,
    input ).

fof(cls_Divides_Omod__self_0_0,plain,
    ! [V_n] :
      ( c_Divides_Oop_Amod(V_n,V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__self_0]) ).

cnf(cls_Divides_Omod__mult__self__is__0_0,axiom,
    c_Divides_Oop_Amod(c_times(V_m,V_n,tc_nat),V_n,tc_nat) = c_0,
    input ).

fof(cls_Divides_Omod__mult__self__is__0_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(c_times(V_m,V_n,tc_nat),V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__mult__self__is__0_0]) ).

cnf(cls_Divides_Omod__mult__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_m,c_times(V_n,V_k,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat),
    input ).

fof(cls_Divides_Omod__mult__self2_0_0,plain,
    ! [V_k,V_m,V_n] :
      ( c_Divides_Oop_Amod(c_plus(V_m,c_times(V_n,V_k,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__mult__self2_0]) ).

cnf(cls_Divides_Omod__mult__self1__is__0_0,axiom,
    c_Divides_Oop_Amod(c_times(V_n,V_m,tc_nat),V_n,tc_nat) = c_0,
    input ).

fof(cls_Divides_Omod__mult__self1__is__0_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(c_times(V_n,V_m,tc_nat),V_n,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__mult__self1__is__0_0]) ).

cnf(cls_Divides_Omod__mult__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_m,c_times(V_k,V_n,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat),
    input ).

fof(cls_Divides_Omod__mult__self1_0_0,plain,
    ! [V_k,V_m,V_n] :
      ( c_Divides_Oop_Amod(c_plus(V_m,c_times(V_k,V_n,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__mult__self1_0]) ).

cnf(cls_Divides_Omod__add__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat),
    input ).

fof(cls_Divides_Omod__add__self2_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(c_plus(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__add__self2_0]) ).

cnf(cls_Divides_Omod__add__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(V_n,V_m,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat),
    input ).

fof(cls_Divides_Omod__add__self1_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Amod(c_plus(V_n,V_m,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__add__self1_0]) ).

cnf(cls_Divides_Omod__1_0,axiom,
    c_Divides_Oop_Amod(V_m,c_Suc(c_0),tc_nat) = c_0,
    input ).

fof(cls_Divides_Omod__1_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Amod(V_m,c_Suc(c_0),tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__1_0]) ).

cnf(cls_Divides_Omod__0_0,axiom,
    c_Divides_Oop_Amod(c_0,V_m,tc_nat) = c_0,
    input ).

fof(cls_Divides_Omod__0_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Amod(c_0,V_m,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Omod__0_0]) ).

cnf(cls_Divides_Odvd__refl_0,axiom,
    c_Divides_Oop_Advd(V_m,V_m,tc_nat),
    input ).

fof(cls_Divides_Odvd__refl_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Advd(V_m,V_m,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__refl_0]) ).

cnf(cls_Divides_Odvd__1__iff__1_1,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    input ).

fof(cls_Divides_Odvd__1__iff__1_1_0,plain,
    ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__1__iff__1_1]) ).

cnf(cls_Divides_Odvd__0__left__iff_1,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    input ).

fof(cls_Divides_Odvd__0__left__iff_1_0,plain,
    ( c_Divides_Oop_Advd(c_0,c_0,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__0__left__iff_1]) ).

cnf(cls_Divides_Odiv__le__dividend_0,axiom,
    c_lessequals(c_div(V_m,V_n,tc_nat),V_m,tc_nat),
    input ).

fof(cls_Divides_Odiv__le__dividend_0_0,plain,
    ! [V_m,V_n] :
      ( c_lessequals(c_div(V_m,V_n,tc_nat),V_m,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odiv__le__dividend_0]) ).

cnf(cls_Divides_Odiv__1_0,axiom,
    c_div(V_y,c_Suc(c_0),tc_nat) = V_y,
    input ).

fof(cls_Divides_Odiv__1_0_0,plain,
    ! [V_y] :
      ( c_div(V_y,c_Suc(c_0),tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odiv__1_0]) ).

cnf(cls_Divides_Odiv__0_0,axiom,
    c_div(c_0,V_m,tc_nat) = c_0,
    input ).

fof(cls_Divides_Odiv__0_0_0,plain,
    ! [V_m] :
      ( c_div(c_0,V_m,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odiv__0_0]) ).

cnf(cls_Divides_ODIVISION__BY__ZERO__MOD_0,axiom,
    c_Divides_Oop_Amod(V_y,c_0,tc_nat) = V_y,
    input ).

fof(cls_Divides_ODIVISION__BY__ZERO__MOD_0_0,plain,
    ! [V_y] :
      ( c_Divides_Oop_Amod(V_y,c_0,tc_nat) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_ODIVISION__BY__ZERO__MOD_0]) ).

cnf(cls_Divides_ODIVISION__BY__ZERO__DIV_0,axiom,
    c_div(V_a,c_0,tc_nat) = c_0,
    input ).

fof(cls_Divides_ODIVISION__BY__ZERO__DIV_0_0,plain,
    ! [V_a] :
      ( c_div(V_a,c_0,tc_nat) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_ODIVISION__BY__ZERO__DIV_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__one__In1_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_emptyset,
    input ).

fof(cls_Datatype__Universe_Ontrunc__one__In1_0_0,plain,
    ! [T_a,T_b,V_M] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__one__In1_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__one__In0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_emptyset,
    input ).

fof(cls_Datatype__Universe_Ontrunc__one__In0_0_0,plain,
    ! [T_a,T_b,V_M] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__one__In0_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__Scons_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(V_k,V_M,T_a,T_b),c_Datatype__Universe_Ontrunc(V_k,V_N,T_a,T_b),T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__Scons_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(V_k,V_M,T_a,T_b),c_Datatype__Universe_Ontrunc(V_k,V_N,T_a,T_b),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__Scons_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__Numb_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_ONumb(V_i,T_a,T_b),T_a,T_b) = c_Datatype__Universe_ONumb(V_i,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__Numb_0_0,plain,
    ! [T_a,T_b,V_i,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_ONumb(V_i,T_a,T_b),T_a,T_b) = c_Datatype__Universe_ONumb(V_i,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__Numb_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__Leaf_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OLeaf(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__Leaf_0_0,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OLeaf(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OLeaf(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__Leaf_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__In1_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__In1_0_0,plain,
    ! [T_a,T_b,V_M,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__In1_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__In0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__In0_0_0,plain,
    ! [T_a,T_b,V_M,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__In0_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__Atom_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OAtom(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OAtom(V_a,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_Ontrunc__Atom_0_0,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OAtom(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OAtom(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__Atom_0]) ).

cnf(cls_Datatype__Universe_Ontrunc__0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_0,V_M,T_a,T_b) = c_emptyset,
    input ).

fof(cls_Datatype__Universe_Ontrunc__0_0_0,plain,
    ! [T_a,T_b,V_M] :
      ( c_Datatype__Universe_Ontrunc(c_0,V_M,T_a,T_b) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_Ontrunc__0_0]) ).

cnf(cls_Datatype__Universe_OScons__not__Numb_0,axiom,
    c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OScons__not__Numb_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Numb_0]) ).

cnf(cls_Datatype__Universe_OScons__not__Leaf_0,axiom,
    c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OScons__not__Leaf_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Leaf_0]) ).

cnf(cls_Datatype__Universe_OScons__not__Atom_0,axiom,
    c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OScons__not__Atom_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OScons__not__Atom_0]) ).

cnf(cls_Datatype__Universe_ONumb__not__Scons_0,axiom,
    c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_ONumb__not__Scons_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_ONumb__not__Scons_0]) ).

cnf(cls_Datatype__Universe_ONumb__not__Leaf_0,axiom,
    c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_ONumb__not__Leaf_0_0,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_ONumb__not__Leaf_0]) ).

cnf(cls_Datatype__Universe_OLeaf__not__Scons_0,axiom,
    c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OLeaf__not__Scons_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Scons_0]) ).

cnf(cls_Datatype__Universe_OLeaf__not__Numb_0,axiom,
    c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OLeaf__not__Numb_0_0,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Numb_0]) ).

cnf(cls_Datatype__Universe_OIn1__not__In0_0,axiom,
    c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OIn1__not__In0_0_0,plain,
    ! [T_a,T_b,V_M,V_N] :
      ( c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OIn1__not__In0_0]) ).

cnf(cls_Datatype__Universe_OIn0__not__In1_0,axiom,
    c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OIn0__not__In1_0_0,plain,
    ! [T_a,T_b,V_M,V_N] :
      ( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OIn0__not__In1_0]) ).

cnf(cls_Datatype__Universe_ODomain__dsum_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b),
    input ).

fof(cls_Datatype__Universe_ODomain__dsum_0_0,plain,
    ! [T_a,T_b,V_r,V_s] :
      ( c_Relation_ODomain(c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_ODomain__dsum_0]) ).

cnf(cls_Datatype__Universe_ODomain__dprod_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b),
    input ).

fof(cls_Datatype__Universe_ODomain__dprod_0_0,plain,
    ! [T_a,T_b,V_r,V_s] :
      ( c_Relation_ODomain(c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_ODomain__dprod_0]) ).

cnf(cls_Datatype__Universe_OAtom__not__Scons_0,axiom,
    c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
    input ).

fof(cls_Datatype__Universe_OAtom__not__Scons_0_0,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype__Universe_OAtom__not__Scons_0]) ).

cnf(cls_Datatype_Ounit_Osize_0,axiom,
    c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
    input ).

fof(cls_Datatype_Ounit_Osize_0_0,plain,
    ( c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0
    | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ounit_Osize_0]) ).

cnf(cls_Datatype_Ounit_Orecs_0,axiom,
    c_Datatype_Ounit_Ounit__rec(V_y,c_Product__Type_OUnity,T_a) = V_y,
    input ).

fof(cls_Datatype_Ounit_Orecs_0_0,plain,
    ! [T_a,V_y] :
      ( c_Datatype_Ounit_Ounit__rec(V_y,c_Product__Type_OUnity,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ounit_Orecs_0]) ).

cnf(cls_Datatype_Ounit_Ocases_0,axiom,
    c_Datatype_Ounit_Ounit__case(V_y,c_Product__Type_OUnity,T_a) = V_y,
    input ).

fof(cls_Datatype_Ounit_Ocases_0_0,plain,
    ! [T_a,V_y] :
      ( c_Datatype_Ounit_Ounit__case(V_y,c_Product__Type_OUnity,T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ounit_Ocases_0]) ).

cnf(cls_Datatype_Othe_Osimps_0,axiom,
    c_Datatype_Othe(c_Datatype_Ooption_OSome(V_y,T_a),T_a) = V_y,
    input ).

fof(cls_Datatype_Othe_Osimps_0_0,plain,
    ! [T_a,V_y] :
      ( c_Datatype_Othe(c_Datatype_Ooption_OSome(V_y,T_a),T_a) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Othe_Osimps_0]) ).

cnf(cls_Datatype_Osum_Osize__2_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInr(V_b,T_b,T_a),tc_sum(T_a,T_b)) = c_0,
    input ).

fof(cls_Datatype_Osum_Osize__2_0_0,plain,
    ! [T_a,T_b,V_b] :
      ( c_Nat_Osize(c_Sum__Type_OInr(V_b,T_b,T_a),tc_sum(T_a,T_b)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Osum_Osize__2_0]) ).

cnf(cls_Datatype_Osum_Osize__1_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInl(V_a,T_a,T_b),tc_sum(T_a,T_b)) = c_0,
    input ).

fof(cls_Datatype_Osum_Osize__1_0_0,plain,
    ! [T_a,T_b,V_a] :
      ( c_Nat_Osize(c_Sum__Type_OInl(V_a,T_a,T_b),tc_sum(T_a,T_b)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Osum_Osize__1_0]) ).

cnf(cls_Datatype_Oprod_Osize_0,axiom,
    c_Nat_Osize(c_Pair(V_a,V_b,T_a,T_b),tc_prod(T_a,T_b)) = c_0,
    input ).

fof(cls_Datatype_Oprod_Osize_0_0,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( c_Nat_Osize(c_Pair(V_a,V_b,T_a,T_b),tc_prod(T_a,T_b)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Oprod_Osize_0]) ).

cnf(cls_Datatype_Ooption_Osize__2_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_OSome(V_a,T_a),tc_Datatype_Ooption(T_a)) = c_0,
    input ).

fof(cls_Datatype_Ooption_Osize__2_0_0,plain,
    ! [T_a,V_a] :
      ( c_Nat_Osize(c_Datatype_Ooption_OSome(V_a,T_a),tc_Datatype_Ooption(T_a)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ooption_Osize__2_0]) ).

cnf(cls_Datatype_Ooption_Osize__1_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(T_a)) = c_0,
    input ).

fof(cls_Datatype_Ooption_Osize__1_0_0,plain,
    ! [T_a] :
      ( c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(T_a)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ooption_Osize__1_0]) ).

cnf(cls_Datatype_Ooption_Odistinct__2_0,axiom,
    c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
    input ).

fof(cls_Datatype_Ooption_Odistinct__2_0_0,plain,
    ! [T_a,V_a_H] :
      ( c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ooption_Odistinct__2_0]) ).

cnf(cls_Datatype_Ooption_Odistinct__1_0,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
    input ).

fof(cls_Datatype_Ooption_Odistinct__1_0_0,plain,
    ! [T_a,V_a_H] :
      ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Ooption_Odistinct__1_0]) ).

cnf(cls_Datatype_Oo2s__empty__eq_1,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_ONone,T_a) = c_emptyset,
    input ).

fof(cls_Datatype_Oo2s__empty__eq_1_0,plain,
    ! [T_a] :
      ( c_Datatype_Oo2s(c_Datatype_Ooption_ONone,T_a) = c_emptyset
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Oo2s__empty__eq_1]) ).

cnf(cls_Datatype_Oo2s_Osimps__2_0,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a__1),T_a__1) = c_insert(V_x,c_emptyset,T_a__1),
    input ).

fof(cls_Datatype_Oo2s_Osimps__2_0_0,plain,
    ! [T_a__1,V_x] :
      ( c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a__1),T_a__1) = c_insert(V_x,c_emptyset,T_a__1)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Oo2s_Osimps__2_0]) ).

cnf(cls_Datatype_Oelem__o2s_1,axiom,
    c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a),
    input ).

fof(cls_Datatype_Oelem__o2s_1_0,plain,
    ! [T_a,V_x] :
      ( c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Datatype_Oelem__o2s_1]) ).

cnf(cls_Binomial_Obinomial__n__n_0,axiom,
    c_Binomial_Obinomial(V_n,V_n) = c_1,
    input ).

fof(cls_Binomial_Obinomial__n__n_0_0,plain,
    ! [V_n] :
      ( c_Binomial_Obinomial(V_n,V_n) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__n__n_0]) ).

cnf(cls_Binomial_Obinomial__n__0_0,axiom,
    c_Binomial_Obinomial(V_n,c_0) = c_1,
    input ).

fof(cls_Binomial_Obinomial__n__0_0_0,plain,
    ! [V_n] :
      ( c_Binomial_Obinomial(V_n,c_0) = c_1
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__n__0_0]) ).

cnf(cls_Binomial_Obinomial__Suc__n_0,axiom,
    c_Binomial_Obinomial(c_Suc(V_n),V_n) = c_Suc(V_n),
    input ).

fof(cls_Binomial_Obinomial__Suc__n_0_0,plain,
    ! [V_n] :
      ( c_Binomial_Obinomial(c_Suc(V_n),V_n) = c_Suc(V_n)
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__Suc__n_0]) ).

cnf(cls_Binomial_Obinomial__Suc__Suc_0,axiom,
    c_Binomial_Obinomial(c_Suc(V_n),c_Suc(V_k)) = c_plus(c_Binomial_Obinomial(V_n,V_k),c_Binomial_Obinomial(V_n,c_Suc(V_k)),tc_nat),
    input ).

fof(cls_Binomial_Obinomial__Suc__Suc_0_0,plain,
    ! [V_k,V_n] :
      ( c_Binomial_Obinomial(c_Suc(V_n),c_Suc(V_k)) = c_plus(c_Binomial_Obinomial(V_n,V_k),c_Binomial_Obinomial(V_n,c_Suc(V_k)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__Suc__Suc_0]) ).

cnf(cls_Binomial_Obinomial__1_0,axiom,
    c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y,
    input ).

fof(cls_Binomial_Obinomial__1_0_0,plain,
    ! [V_y] :
      ( c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__1_0]) ).

cnf(cls_Binomial_Obinomial__0__Suc_0,axiom,
    c_Binomial_Obinomial(c_0,c_Suc(V_k)) = c_0,
    input ).

fof(cls_Binomial_Obinomial__0__Suc_0_0,plain,
    ! [V_k] :
      ( c_Binomial_Obinomial(c_0,c_Suc(V_k)) = c_0
      | $false ),
    inference(orientation,[status(thm)],[cls_Binomial_Obinomial__0__Suc_0]) ).

cnf(clsarity_set_4,axiom,
    class_Nat_Opower(tc_set(T_1)),
    input ).

fof(clsarity_set_4_0,plain,
    ! [T_1] :
      ( class_Nat_Opower(tc_set(T_1))
      | $false ),
    inference(orientation,[status(thm)],[clsarity_set_4]) ).

cnf(clsarity_set_2,axiom,
    class_Orderings_Oorder(tc_set(T_1)),
    input ).

fof(clsarity_set_2_0,plain,
    ! [T_1] :
      ( class_Orderings_Oorder(tc_set(T_1))
      | $false ),
    inference(orientation,[status(thm)],[clsarity_set_2]) ).

cnf(clsarity_set_1,axiom,
    class_Orderings_Oord(tc_set(T_1)),
    input ).

fof(clsarity_set_1_0,plain,
    ! [T_1] :
      ( class_Orderings_Oord(tc_set(T_1))
      | $false ),
    inference(orientation,[status(thm)],[clsarity_set_1]) ).

cnf(clsarity_set_0,axiom,
    class_HOL_Ominus(tc_set(T_1)),
    input ).

fof(clsarity_set_0_0,plain,
    ! [T_1] :
      ( class_HOL_Ominus(tc_set(T_1))
      | $false ),
    inference(orientation,[status(thm)],[clsarity_set_0]) ).

cnf(clsarity_nat_9,axiom,
    class_HOL_Ominus(tc_nat),
    input ).

fof(clsarity_nat_9_0,plain,
    ( class_HOL_Ominus(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_9]) ).

cnf(clsarity_nat_8,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    input ).

fof(clsarity_nat_8_0,plain,
    ( class_Wellfounded__Recursion_Owellorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_8]) ).

cnf(clsarity_nat_7,axiom,
    class_Orderings_Olinorder(tc_nat),
    input ).

fof(clsarity_nat_7_0,plain,
    ( class_Orderings_Olinorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_7]) ).

cnf(clsarity_nat_6,axiom,
    class_LOrder_Olorder(tc_nat),
    input ).

fof(clsarity_nat_6_0,plain,
    ( class_LOrder_Olorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_6]) ).

cnf(clsarity_nat_5,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    input ).

fof(clsarity_nat_5_0,plain,
    ( class_LOrder_Ojoin__semilorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_5]) ).

cnf(clsarity_nat_47,axiom,
    class_Parity_Oeven__odd(tc_nat),
    input ).

fof(clsarity_nat_47_0,plain,
    ( class_Parity_Oeven__odd(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_47]) ).

cnf(clsarity_nat_46,axiom,
    class_Numeral_Onumber(tc_nat),
    input ).

fof(clsarity_nat_46_0,plain,
    ( class_Numeral_Onumber(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_46]) ).

cnf(clsarity_nat_45,axiom,
    class_Power_Orecpower(tc_nat),
    input ).

fof(clsarity_nat_45_0,plain,
    ( class_Power_Orecpower(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_45]) ).

cnf(clsarity_nat_44,axiom,
    class_Divides_Odiv(tc_nat),
    input ).

fof(clsarity_nat_44_0,plain,
    ( class_Divides_Odiv(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_44]) ).

cnf(clsarity_nat_43,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    input ).

fof(clsarity_nat_43_0,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_43]) ).

cnf(clsarity_nat_42,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    input ).

fof(clsarity_nat_42_0,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_42]) ).

cnf(clsarity_nat_41,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    input ).

fof(clsarity_nat_41_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_41]) ).

cnf(clsarity_nat_40,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    input ).

fof(clsarity_nat_40_0,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_40]) ).

cnf(clsarity_nat_4,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    input ).

fof(clsarity_nat_4_0,plain,
    ( class_LOrder_Omeet__semilorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_4]) ).

cnf(clsarity_nat_39,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    input ).

fof(clsarity_nat_39_0,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_39]) ).

cnf(clsarity_nat_38,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    input ).

fof(clsarity_nat_38_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_38]) ).

cnf(clsarity_nat_37,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    input ).

fof(clsarity_nat_37_0,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_37]) ).

cnf(clsarity_nat_36,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_36_0,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_36]) ).

cnf(clsarity_nat_35,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    input ).

fof(clsarity_nat_35_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_35]) ).

cnf(clsarity_nat_34,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_34_0,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_34]) ).

cnf(clsarity_nat_33,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_33_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_33]) ).

cnf(clsarity_nat_32,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    input ).

fof(clsarity_nat_32_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_32]) ).

cnf(clsarity_nat_31,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    input ).

fof(clsarity_nat_31_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_31]) ).

cnf(clsarity_nat_30,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    input ).

fof(clsarity_nat_30_0,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_30]) ).

cnf(clsarity_nat_3,axiom,
    class_Orderings_Oorder(tc_nat),
    input ).

fof(clsarity_nat_3_0,plain,
    ( class_Orderings_Oorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_3]) ).

cnf(clsarity_nat_29,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    input ).

fof(clsarity_nat_29_0,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_29]) ).

cnf(clsarity_nat_28,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_28_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_28]) ).

cnf(clsarity_nat_27,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_27_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_27]) ).

cnf(clsarity_nat_26,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    input ).

fof(clsarity_nat_26_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_26]) ).

cnf(clsarity_nat_25,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    input ).

fof(clsarity_nat_25_0,plain,
    ( class_Ring__and__Field_Osemiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_25]) ).

cnf(clsarity_nat_24,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    input ).

fof(clsarity_nat_24_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_24]) ).

cnf(clsarity_nat_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    input ).

fof(clsarity_nat_23_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_23]) ).

cnf(clsarity_nat_22,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    input ).

fof(clsarity_nat_22_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_22]) ).

cnf(clsarity_nat_21,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    input ).

fof(clsarity_nat_21_0,plain,
    ( class_Ring__and__Field_Osemiring__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_21]) ).

cnf(clsarity_nat_20,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat_20_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_20]) ).

cnf(clsarity_nat_2,axiom,
    class_Orderings_Oord(tc_nat),
    input ).

fof(clsarity_nat_2_0,plain,
    ( class_Orderings_Oord(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_2]) ).

cnf(clsarity_nat_19,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    input ).

fof(clsarity_nat_19_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_19]) ).

cnf(clsarity_nat_18,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    input ).

fof(clsarity_nat_18_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_18]) ).

cnf(clsarity_nat_17,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    input ).

fof(clsarity_nat_17_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_17]) ).

cnf(clsarity_nat_16,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    input ).

fof(clsarity_nat_16_0,plain,
    ( class_OrderedGroup_Osemigroup__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_16]) ).

cnf(clsarity_nat_15,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat_15_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_15]) ).

cnf(clsarity_nat_14,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    input ).

fof(clsarity_nat_14_0,plain,
    ( class_OrderedGroup_Osemigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_14]) ).

cnf(clsarity_nat_13,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    input ).

fof(clsarity_nat_13_0,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_13]) ).

cnf(clsarity_nat_12,axiom,
    class_Nat_Opower(tc_nat),
    input ).

fof(clsarity_nat_12_0,plain,
    ( class_Nat_Opower(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_12]) ).

cnf(clsarity_nat_11,axiom,
    class_HOL_Otimes(tc_nat),
    input ).

fof(clsarity_nat_11_0,plain,
    ( class_HOL_Otimes(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_11]) ).

cnf(clsarity_nat_10,axiom,
    class_HOL_Oplus(tc_nat),
    input ).

fof(clsarity_nat_10_0,plain,
    ( class_HOL_Oplus(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_10]) ).

cnf(clsarity_nat_1,axiom,
    class_HOL_Ozero(tc_nat),
    input ).

fof(clsarity_nat_1_0,plain,
    ( class_HOL_Ozero(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_1]) ).

cnf(clsarity_nat_0,axiom,
    class_HOL_Oone(tc_nat),
    input ).

fof(clsarity_nat_0_0,plain,
    ( class_HOL_Oone(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat_0]) ).

cnf(clsarity_fun_1,axiom,
    class_Nat_Opower(tc_fun(T_2,T_1)),
    input ).

fof(clsarity_fun_1_0,plain,
    ! [T_1,T_2] :
      ( class_Nat_Opower(tc_fun(T_2,T_1))
      | $false ),
    inference(orientation,[status(thm)],[clsarity_fun_1]) ).

cnf(clsarity_bool_0,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    input ).

fof(clsarity_bool_0_0,plain,
    ( class_Finite__Set_Ofinite(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool_0]) ).

cnf(clsarity_Product____Type__Ounit_0,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    input ).

fof(clsarity_Product____Type__Ounit_0_0,plain,
    ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Product____Type__Ounit_0]) ).

cnf(clsarity_IntDef__Oint_9,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_9_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_9]) ).

cnf(clsarity_IntDef__Oint_8,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_8_0,plain,
    ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_8]) ).

cnf(clsarity_IntDef__Oint_7,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_7_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_7]) ).

cnf(clsarity_IntDef__Oint_64,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_64_0,plain,
    ( class_Parity_Oeven__odd(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_64]) ).

cnf(clsarity_IntDef__Oint_63,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_63_0,plain,
    ( class_Power_Orecpower(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_63]) ).

cnf(clsarity_IntDef__Oint_62,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_62_0,plain,
    ( class_Nat_Opower(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_62]) ).

cnf(clsarity_IntDef__Oint_61,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_61_0,plain,
    ( class_Divides_Odiv(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_61]) ).

cnf(clsarity_IntDef__Oint_60,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_60_0,plain,
    ( class_Numeral_Onumber__ring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_60]) ).

cnf(clsarity_IntDef__Oint_6,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_6_0,plain,
    ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_6]) ).

cnf(clsarity_IntDef__Oint_59,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_59_0,plain,
    ( class_Numeral_Onumber(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_59]) ).

cnf(clsarity_IntDef__Oint_58,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_58_0,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_58]) ).

cnf(clsarity_IntDef__Oint_57,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_57_0,plain,
    ( class_Ring__and__Field_Oidom(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_57]) ).

cnf(clsarity_IntDef__Oint_56,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_56_0,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_56]) ).

cnf(clsarity_IntDef__Oint_55,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_55_0,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_55]) ).

cnf(clsarity_IntDef__Oint_54,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_54_0,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_54]) ).

cnf(clsarity_IntDef__Oint_53,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_53_0,plain,
    ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_53]) ).

cnf(clsarity_IntDef__Oint_52,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_52_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_52]) ).

cnf(clsarity_IntDef__Oint_51,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_51_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_51]) ).

cnf(clsarity_IntDef__Oint_50,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_50_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_50]) ).

cnf(clsarity_IntDef__Oint_5,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_5_0,plain,
    ( class_Orderings_Oord(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_5]) ).

cnf(clsarity_IntDef__Oint_49,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_49_0,plain,
    ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_49]) ).

cnf(clsarity_IntDef__Oint_48,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_48_0,plain,
    ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_48]) ).

cnf(clsarity_IntDef__Oint_47,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_47_0,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_47]) ).

cnf(clsarity_IntDef__Oint_46,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_46_0,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_46]) ).

cnf(clsarity_IntDef__Oint_45,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_45_0,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_45]) ).

cnf(clsarity_IntDef__Oint_44,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_44_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_44]) ).

cnf(clsarity_IntDef__Oint_43,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_43_0,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_43]) ).

cnf(clsarity_IntDef__Oint_42,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_42_0,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_42]) ).

cnf(clsarity_IntDef__Oint_41,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_41_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_41]) ).

cnf(clsarity_IntDef__Oint_40,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_40_0,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_40]) ).

cnf(clsarity_IntDef__Oint_4,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_4_0,plain,
    ( class_HOL_Ozero(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_4]) ).

cnf(clsarity_IntDef__Oint_39,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_39_0,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_39]) ).

cnf(clsarity_IntDef__Oint_38,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_38_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_38]) ).

cnf(clsarity_IntDef__Oint_37,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_37_0,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_37]) ).

cnf(clsarity_IntDef__Oint_36,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_36_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_36]) ).

cnf(clsarity_IntDef__Oint_35,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_35_0,plain,
    ( class_Orderings_Olinorder(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_35]) ).

cnf(clsarity_IntDef__Oint_34,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_34_0,plain,
    ( class_LOrder_Olorder(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_34]) ).

cnf(clsarity_IntDef__Oint_33,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_33_0,plain,
    ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_33]) ).

cnf(clsarity_IntDef__Oint_32,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_32_0,plain,
    ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_32]) ).

cnf(clsarity_IntDef__Oint_31,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_31_0,plain,
    ( class_Orderings_Oorder(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_31]) ).

cnf(clsarity_IntDef__Oint_30,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_30_0,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_30]) ).

cnf(clsarity_IntDef__Oint_3,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_3_0,plain,
    ( class_HOL_Otimes(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_3]) ).

cnf(clsarity_IntDef__Oint_29,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_29_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_29]) ).

cnf(clsarity_IntDef__Oint_28,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_28_0,plain,
    ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_28]) ).

cnf(clsarity_IntDef__Oint_27,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_27_0,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_27]) ).

cnf(clsarity_IntDef__Oint_26,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_26_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_26]) ).

cnf(clsarity_IntDef__Oint_25,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_25_0,plain,
    ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_25]) ).

cnf(clsarity_IntDef__Oint_24,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_24_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_24]) ).

cnf(clsarity_IntDef__Oint_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_23_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_23]) ).

cnf(clsarity_IntDef__Oint_22,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_22_0,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_22]) ).

cnf(clsarity_IntDef__Oint_21,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_21_0,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_21]) ).

cnf(clsarity_IntDef__Oint_20,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_20_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_20]) ).

cnf(clsarity_IntDef__Oint_2,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_2_0,plain,
    ( class_HOL_Oplus(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_2]) ).

cnf(clsarity_IntDef__Oint_19,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_19_0,plain,
    ( class_Ring__and__Field_Oring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_19]) ).

cnf(clsarity_IntDef__Oint_18,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_18_0,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_18]) ).

cnf(clsarity_IntDef__Oint_17,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_17_0,plain,
    ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_17]) ).

cnf(clsarity_IntDef__Oint_16,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_16_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_16]) ).

cnf(clsarity_IntDef__Oint_15,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_15_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_15]) ).

cnf(clsarity_IntDef__Oint_14,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_14_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_14]) ).

cnf(clsarity_IntDef__Oint_13,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_13_0,plain,
    ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_13]) ).

cnf(clsarity_IntDef__Oint_12,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_12_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_12]) ).

cnf(clsarity_IntDef__Oint_11,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_11_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_11]) ).

cnf(clsarity_IntDef__Oint_10,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_10_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_10]) ).

cnf(clsarity_IntDef__Oint_1,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_1_0,plain,
    ( class_HOL_Oone(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_1]) ).

cnf(clsarity_IntDef__Oint_0,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    input ).

fof(clsarity_IntDef__Oint_0_0,plain,
    ( class_HOL_Ominus(tc_IntDef_Oint)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_IntDef__Oint_0]) ).

cnf(cls_Wellfounded__Relations_Owf__less__than_0,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    input ).

fof(cls_Wellfounded__Relations_Owf__less__than_0_0,plain,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Wellfounded__Relations_Owf__less__than_0]) ).

cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    input ).

fof(cls_Wellfounded__Relations_Otrans__less__than_0_0,plain,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_Wellfounded__Relations_Otrans__less__than_0]) ).

cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,T_a),
    input ).

fof(cls_Wellfounded__Recursion_Owf__empty_0_0,plain,
    ! [T_a] :
      ( c_Wellfounded__Recursion_Owf(c_emptyset,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Wellfounded__Recursion_Owf__empty_0]) ).

cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)),
    input ).

fof(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0_0,plain,
    ! [T_a,V_a,V_r] :
      ( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(V_A,V_A,tc_set(T_a)),
    input ).

fof(cls_Set_Osubset__refl_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,V_A,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Osubset__refl_0]) ).

cnf(cls_Set_OsingletonI_0,axiom,
    c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a),
    input ).

fof(cls_Set_OsingletonI_0_0,plain,
    ! [T_a,V_a] :
      ( c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OsingletonI_0]) ).

cnf(cls_Set_Oempty__subsetI_0,axiom,
    c_lessequals(c_emptyset,V_A,tc_set(T_a)),
    input ).

fof(cls_Set_Oempty__subsetI_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(c_emptyset,V_A,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_Oempty__subsetI_0]) ).

cnf(cls_Set_OUNIV__I_0,axiom,
    c_in(V_x,c_UNIV,T_a),
    input ).

fof(cls_Set_OUNIV__I_0_0,plain,
    ! [T_a,V_x] :
      ( c_in(V_x,c_UNIV,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Set_OUNIV__I_0]) ).

cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,
    c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__lessThan_0_0,plain,
    ! [V_k] :
      ( c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__lessThan_0]) ).

cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ofinite__greaterThanLessThan__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan__int_0]) ).

cnf(cls_SetInterval_Ofinite__greaterThanLessThan_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__greaterThanLessThan_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan_0]) ).

cnf(cls_SetInterval_Ofinite__greaterThanAtMost__int_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ofinite__greaterThanAtMost__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost__int_0]) ).

cnf(cls_SetInterval_Ofinite__greaterThanAtMost_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__greaterThanAtMost_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost_0]) ).

cnf(cls_SetInterval_Ofinite__atMost_0,axiom,
    c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__atMost_0_0,plain,
    ! [V_k] :
      ( c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atMost_0]) ).

cnf(cls_SetInterval_Ofinite__atLeastLessThan__int_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ofinite__atLeastLessThan__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan__int_0]) ).

cnf(cls_SetInterval_Ofinite__atLeastLessThan_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__atLeastLessThan_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan_0]) ).

cnf(cls_SetInterval_Ofinite__atLeastAtMost__int_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    input ).

fof(cls_SetInterval_Ofinite__atLeastAtMost__int_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost__int_0]) ).

cnf(cls_SetInterval_Ofinite__atLeastAtMost_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    input ).

fof(cls_SetInterval_Ofinite__atLeastAtMost_0_0,plain,
    ! [V_l,V_u] :
      ( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost_0]) ).

cnf(cls_Nat_Ozero__less__Suc_0,axiom,
    c_less(c_0,c_Suc(V_n),tc_nat),
    input ).

fof(cls_Nat_Ozero__less__Suc_0_0,plain,
    ! [V_n] :
      ( c_less(c_0,c_Suc(V_n),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Ozero__less__Suc_0]) ).

cnf(cls_Nat_Oless__irrefl_0,axiom,
    ~ c_less(V_n,V_n,tc_nat),
    input ).

fof(cls_Nat_Oless__irrefl_0_0,plain,
    ! [V_n] :
      ( ~ c_less(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Oless__irrefl_0]) ).

cnf(cls_Nat_OlessI_0,axiom,
    c_less(V_n,c_Suc(V_n),tc_nat),
    input ).

fof(cls_Nat_OlessI_0_0,plain,
    ! [V_n] :
      ( c_less(V_n,c_Suc(V_n),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_OlessI_0]) ).

cnf(cls_Nat_Ole0_0,axiom,
    c_lessequals(c_0,V_n,tc_nat),
    input ).

fof(cls_Nat_Ole0_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_0,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nat_Ole0_0]) ).

cnf(cls_List_Olists_ONil_0,axiom,
    c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)),
    input ).

fof(cls_List_Olists_ONil_0_0,plain,
    ! [T_a,V_A] :
      ( c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olists_ONil_0]) ).

cnf(cls_List_Olength__remdups__leq_0,axiom,
    c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),
    input ).

fof(cls_List_Olength__remdups__leq_0_0,plain,
    ! [T_a,V_xs] :
      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Olength__remdups__leq_0]) ).

cnf(cls_List_Ofinite__set_0,axiom,
    c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)),
    input ).

fof(cls_List_Ofinite__set_0_0,plain,
    ! [T_a,V_xs] :
      ( c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Ofinite__set_0]) ).

cnf(cls_List_Odistinct__remdups_0,axiom,
    c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a),
    input ).

fof(cls_List_Odistinct__remdups_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_List_Odistinct__remdups_0]) ).

cnf(cls_IntDiv_Ozdvd__triv__right_0,axiom,
    c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__triv__right_0_0,plain,
    ! [V_k,V_m] :
      ( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__triv__right_0]) ).

cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,
    c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__triv__left_0_0,plain,
    ! [V_k,V_m] :
      ( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__triv__left_0]) ).

cnf(cls_IntDiv_Ozdvd__1__left_0,axiom,
    c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__1__left_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__1__left_0]) ).

cnf(cls_IntDiv_Ozdvd__0__right_0,axiom,
    c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint),
    input ).

fof(cls_IntDiv_Ozdvd__0__right_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDiv_Ozdvd__0__right_0]) ).

cnf(cls_IntDef_Onegative__zless_0,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Onegative__zless_0_0,plain,
    ! [V_m,V_n] :
      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onegative__zless_0]) ).

cnf(cls_IntDef_Onegative__zle_0,axiom,
    c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint),
    input ).

fof(cls_IntDef_Onegative__zle_0_0,plain,
    ! [V_m,V_n] :
      ( c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint)
      | $false ),
    inference(orientation,[status(thm)],[cls_IntDef_Onegative__zle_0]) ).

cnf(cls_GCD_Ogcd__dvd2_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat),
    input ).

fof(cls_GCD_Ogcd__dvd2_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__dvd2_0]) ).

cnf(cls_GCD_Ogcd__dvd1_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat),
    input ).

fof(cls_GCD_Ogcd__dvd1_0_0,plain,
    ! [V_m,V_n] :
      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_GCD_Ogcd__dvd1_0]) ).

cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)),
    input ).

fof(cls_Finite__Set_OFinites_OemptyI_0_0,plain,
    ! [T_a] :
      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Finite__Set_OFinites_OemptyI_0]) ).

cnf(cls_Divides_Odvd__triv__right_0,axiom,
    c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat),
    input ).

fof(cls_Divides_Odvd__triv__right_0_0,plain,
    ! [V_k,V_m] :
      ( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__triv__right_0]) ).

cnf(cls_Divides_Odvd__triv__left_0,axiom,
    c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat),
    input ).

fof(cls_Divides_Odvd__triv__left_0_0,plain,
    ! [V_k,V_m] :
      ( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__triv__left_0]) ).

cnf(cls_Divides_Odvd__1__left_0,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat),
    input ).

fof(cls_Divides_Odvd__1__left_0_0,plain,
    ! [V_k] :
      ( c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__1__left_0]) ).

cnf(cls_Divides_Odvd__0__right_0,axiom,
    c_Divides_Oop_Advd(V_m,c_0,tc_nat),
    input ).

fof(cls_Divides_Odvd__0__right_0_0,plain,
    ! [V_m] :
      ( c_Divides_Oop_Advd(V_m,c_0,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Divides_Odvd__0__right_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_m] :
      ( lhs_atom1(V_m)
    <=> c_Divides_Oop_Advd(V_m,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ! [V_m] :
      ( lhs_atom1(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__0__right_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_k] :
      ( lhs_atom2(V_k)
    <=> c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [V_k] :
      ( lhs_atom2(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__1__left_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_m,V_k] :
      ( lhs_atom3(V_m,V_k)
    <=> c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [V_k,V_m] :
      ( lhs_atom3(V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__triv__left_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_m,V_k] :
      ( lhs_atom4(V_m,V_k)
    <=> c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ! [V_k,V_m] :
      ( lhs_atom4(V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__triv__right_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [T_a] :
      ( lhs_atom5(T_a)
    <=> c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ! [T_a] :
      ( lhs_atom5(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Finite__Set_OFinites_OemptyI_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_n,V_m] :
      ( lhs_atom6(V_n,V_m)
    <=> c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [V_m,V_n] :
      ( lhs_atom6(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__dvd1_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_n,V_m] :
      ( lhs_atom7(V_n,V_m)
    <=> c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_6,plain,
    ! [V_m,V_n] :
      ( lhs_atom7(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__dvd2_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_n,V_m] :
      ( lhs_atom8(V_n,V_m)
    <=> c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_7,plain,
    ! [V_m,V_n] :
      ( lhs_atom8(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onegative__zle_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_n,V_m] :
      ( lhs_atom9(V_n,V_m)
    <=> c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_8,plain,
    ! [V_m,V_n] :
      ( lhs_atom9(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onegative__zless_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_m] :
      ( lhs_atom10(V_m)
    <=> c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_9,plain,
    ! [V_m] :
      ( lhs_atom10(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__0__right_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_m] :
      ( lhs_atom11(V_m)
    <=> c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [V_m] :
      ( lhs_atom11(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__1__left_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_m,V_k] :
      ( lhs_atom12(V_m,V_k)
    <=> c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_11,plain,
    ! [V_k,V_m] :
      ( lhs_atom12(V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__triv__left_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_m,V_k] :
      ( lhs_atom13(V_m,V_k)
    <=> c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_12,plain,
    ! [V_k,V_m] :
      ( lhs_atom13(V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__triv__right_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom14(V_xs,T_a)
    <=> c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,V_xs] :
      ( lhs_atom14(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odistinct__remdups_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom15(V_xs,T_a)
    <=> c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_xs] :
      ( lhs_atom15(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ofinite__set_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom16(V_xs,T_a)
    <=> c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,V_xs] :
      ( lhs_atom16(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__remdups__leq_0_0,def_lhs_atom16]) ).

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

fof(to_be_clausified_16,plain,
    ! [T_a,V_A] :
      ( lhs_atom17(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olists_ONil_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_n] :
      ( lhs_atom18(V_n)
    <=> c_lessequals(c_0,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [V_n] :
      ( lhs_atom18(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Ole0_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_n] :
      ( lhs_atom19(V_n)
    <=> c_less(V_n,c_Suc(V_n),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_18,plain,
    ! [V_n] :
      ( lhs_atom19(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_OlessI_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_n] :
      ( lhs_atom20(V_n)
    <=> ~ c_less(V_n,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_19,plain,
    ! [V_n] :
      ( lhs_atom20(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oless__irrefl_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_n] :
      ( lhs_atom21(V_n)
    <=> c_less(c_0,c_Suc(V_n),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_20,plain,
    ! [V_n] :
      ( lhs_atom21(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Ozero__less__Suc_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_u,V_l] :
      ( lhs_atom22(V_u,V_l)
    <=> c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_21,plain,
    ! [V_l,V_u] :
      ( lhs_atom22(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_u,V_l] :
      ( lhs_atom23(V_u,V_l)
    <=> c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [V_l,V_u] :
      ( lhs_atom23(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastAtMost__int_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_u,V_l] :
      ( lhs_atom24(V_u,V_l)
    <=> c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_23,plain,
    ! [V_l,V_u] :
      ( lhs_atom24(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_u,V_l] :
      ( lhs_atom25(V_u,V_l)
    <=> c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_24,plain,
    ! [V_l,V_u] :
      ( lhs_atom25(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atLeastLessThan__int_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_k] :
      ( lhs_atom26(V_k)
    <=> c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ! [V_k] :
      ( lhs_atom26(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__atMost_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_u,V_l] :
      ( lhs_atom27(V_u,V_l)
    <=> c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_26,plain,
    ! [V_l,V_u] :
      ( lhs_atom27(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_u,V_l] :
      ( lhs_atom28(V_u,V_l)
    <=> c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ! [V_l,V_u] :
      ( lhs_atom28(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanAtMost__int_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_u,V_l] :
      ( lhs_atom29(V_u,V_l)
    <=> c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_28,plain,
    ! [V_l,V_u] :
      ( lhs_atom29(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_u,V_l] :
      ( lhs_atom30(V_u,V_l)
    <=> c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_29,plain,
    ! [V_l,V_u] :
      ( lhs_atom30(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__greaterThanLessThan__int_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_k] :
      ( lhs_atom31(V_k)
    <=> c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_30,plain,
    ! [V_k] :
      ( lhs_atom31(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ofinite__lessThan_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_x,T_a] :
      ( lhs_atom32(V_x,T_a)
    <=> c_in(V_x,c_UNIV,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,V_x] :
      ( lhs_atom32(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUNIV__I_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_A,T_a] :
      ( lhs_atom33(V_A,T_a)
    <=> c_lessequals(c_emptyset,V_A,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_A] :
      ( lhs_atom33(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oempty__subsetI_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_a,T_a] :
      ( lhs_atom34(V_a,T_a)
    <=> c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_33,plain,
    ! [T_a,V_a] :
      ( lhs_atom34(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OsingletonI_0_0,def_lhs_atom34]) ).

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

fof(to_be_clausified_34,plain,
    ! [T_a,V_A] :
      ( lhs_atom35(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Osubset__refl_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_r,V_a,T_a] :
      ( lhs_atom36(V_r,V_a,T_a)
    <=> c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,V_a,V_r] :
      ( lhs_atom36(V_r,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [T_a] :
      ( lhs_atom37(T_a)
    <=> c_Wellfounded__Recursion_Owf(c_emptyset,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_36,plain,
    ! [T_a] :
      ( lhs_atom37(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Wellfounded__Recursion_Owf__empty_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Wellfounded__Relations_Otrans__less__than_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ( lhs_atom39
  <=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_38,plain,
    ( lhs_atom39
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Wellfounded__Relations_Owf__less__than_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ( lhs_atom40
  <=> class_HOL_Ominus(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_39,plain,
    ( lhs_atom40
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> class_HOL_Oone(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_1_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ( lhs_atom42
  <=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_41,plain,
    ( lhs_atom42
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_10_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_11_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_43,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_12_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_13_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_14_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_15_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_16_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_17_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_18_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_19_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> class_HOL_Oplus(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_2_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_20_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_21_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_22_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_23_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_24_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_25_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_26_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_27_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_28_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ( lhs_atom62
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_29_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> class_HOL_Otimes(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_3_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_30_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> class_Orderings_Oorder(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_31_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_32_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_66,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_33_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ( lhs_atom68
  <=> class_LOrder_Olorder(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_34_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom69
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_35_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ( lhs_atom70
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_36_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ( lhs_atom71
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_37_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ( lhs_atom72
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_38_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ( lhs_atom73
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_39_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ( lhs_atom74
  <=> class_HOL_Ozero(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_4_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ( lhs_atom75
  <=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_40_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ( lhs_atom76
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_75,plain,
    ( lhs_atom76
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_41_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ( lhs_atom77
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_76,plain,
    ( lhs_atom77
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_42_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_77,plain,
    ( lhs_atom78
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_43_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ( lhs_atom79
  <=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_78,plain,
    ( lhs_atom79
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_44_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ( lhs_atom80
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_79,plain,
    ( lhs_atom80
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_45_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_80,plain,
    ( lhs_atom81
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_46_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ( lhs_atom82
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_81,plain,
    ( lhs_atom82
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_47_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ( lhs_atom83
  <=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_82,plain,
    ( lhs_atom83
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_48_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ( lhs_atom84
  <=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_83,plain,
    ( lhs_atom84
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_49_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ( lhs_atom85
  <=> class_Orderings_Oord(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_84,plain,
    ( lhs_atom85
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_5_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ( lhs_atom86
  <=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_85,plain,
    ( lhs_atom86
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_50_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ( lhs_atom87
  <=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_86,plain,
    ( lhs_atom87
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_51_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ( lhs_atom88
  <=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_87,plain,
    ( lhs_atom88
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_52_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ( lhs_atom89
  <=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_88,plain,
    ( lhs_atom89
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_53_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ( lhs_atom90
  <=> class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_89,plain,
    ( lhs_atom90
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_54_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ( lhs_atom91
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_90,plain,
    ( lhs_atom91
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_55_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_91,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_56_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ( lhs_atom93
  <=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_92,plain,
    ( lhs_atom93
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_57_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_93,plain,
    ( lhs_atom94
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_58_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ( lhs_atom95
  <=> class_Numeral_Onumber(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_94,plain,
    ( lhs_atom95
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_59_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ( lhs_atom96
  <=> class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_95,plain,
    ( lhs_atom96
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_6_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ( lhs_atom97
  <=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_96,plain,
    ( lhs_atom97
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_60_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ( lhs_atom98
  <=> class_Divides_Odiv(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_97,plain,
    ( lhs_atom98
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_61_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ( lhs_atom99
  <=> class_Nat_Opower(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_98,plain,
    ( lhs_atom99
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_62_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ( lhs_atom100
  <=> class_Power_Orecpower(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_99,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_63_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> class_Parity_Oeven__odd(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_100,plain,
    ( lhs_atom101
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_64_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ( lhs_atom102
  <=> class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_101,plain,
    ( lhs_atom102
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_7_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ( lhs_atom103
  <=> class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_102,plain,
    ( lhs_atom103
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_8_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ( lhs_atom104
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_103,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_IntDef__Oint_9_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ( lhs_atom105
  <=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_104,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Product____Type__Ounit_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ( lhs_atom106
  <=> class_Finite__Set_Ofinite(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_105,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [T_2,T_1] :
      ( lhs_atom107(T_2,T_1)
    <=> class_Nat_Opower(tc_fun(T_2,T_1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_106,plain,
    ! [T_1,T_2] :
      ( lhs_atom107(T_2,T_1)
      | $false ),
    inference(fold_definition,[status(thm)],[clsarity_fun_1_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> class_HOL_Oone(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ( lhs_atom109
  <=> class_HOL_Ozero(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_1_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ( lhs_atom110
  <=> class_HOL_Oplus(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom110
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_10_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ( lhs_atom111
  <=> class_HOL_Otimes(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_110,plain,
    ( lhs_atom111
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_11_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ( lhs_atom112
  <=> class_Nat_Opower(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_111,plain,
    ( lhs_atom112
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_12_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ( lhs_atom113
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_13_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ( lhs_atom114
  <=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_14_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ( lhs_atom115
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_114,plain,
    ( lhs_atom115
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_15_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ( lhs_atom116
  <=> class_OrderedGroup_Osemigroup__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_115,plain,
    ( lhs_atom116
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_16_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ( lhs_atom117
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_116,plain,
    ( lhs_atom117
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_17_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ( lhs_atom118
  <=> class_Ring__and__Field_Osemiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_117,plain,
    ( lhs_atom118
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_18_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ( lhs_atom119
  <=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_118,plain,
    ( lhs_atom119
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_19_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ( lhs_atom120
  <=> class_Orderings_Oord(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_119,plain,
    ( lhs_atom120
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_2_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ( lhs_atom121
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_120,plain,
    ( lhs_atom121
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_20_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ( lhs_atom122
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_121,plain,
    ( lhs_atom122
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_21_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ( lhs_atom123
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_122,plain,
    ( lhs_atom123
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_22_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ( lhs_atom124
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_123,plain,
    ( lhs_atom124
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_23_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ( lhs_atom125
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_124,plain,
    ( lhs_atom125
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_24_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ( lhs_atom126
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_125,plain,
    ( lhs_atom126
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_25_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ( lhs_atom127
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_126,plain,
    ( lhs_atom127
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_26_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ( lhs_atom128
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_127,plain,
    ( lhs_atom128
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_27_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ( lhs_atom129
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_128,plain,
    ( lhs_atom129
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_28_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ( lhs_atom130
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_129,plain,
    ( lhs_atom130
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_29_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ( lhs_atom131
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_130,plain,
    ( lhs_atom131
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_3_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ( lhs_atom132
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_131,plain,
    ( lhs_atom132
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_30_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ( lhs_atom133
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_132,plain,
    ( lhs_atom133
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_31_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ( lhs_atom134
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_133,plain,
    ( lhs_atom134
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_32_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ( lhs_atom135
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_134,plain,
    ( lhs_atom135
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_33_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ( lhs_atom136
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_135,plain,
    ( lhs_atom136
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_34_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ( lhs_atom137
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_136,plain,
    ( lhs_atom137
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_35_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ( lhs_atom138
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_137,plain,
    ( lhs_atom138
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_36_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ( lhs_atom139
  <=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_138,plain,
    ( lhs_atom139
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_37_0,def_lhs_atom139]) ).

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

fof(to_be_clausified_139,plain,
    ( lhs_atom140
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_38_0,def_lhs_atom140]) ).

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

fof(to_be_clausified_140,plain,
    ( lhs_atom141
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_39_0,def_lhs_atom141]) ).

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

fof(to_be_clausified_141,plain,
    ( lhs_atom142
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_4_0,def_lhs_atom142]) ).

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

fof(to_be_clausified_142,plain,
    ( lhs_atom143
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_40_0,def_lhs_atom143]) ).

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

fof(to_be_clausified_143,plain,
    ( lhs_atom144
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_41_0,def_lhs_atom144]) ).

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

fof(to_be_clausified_144,plain,
    ( lhs_atom145
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_42_0,def_lhs_atom145]) ).

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

fof(to_be_clausified_145,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_43_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ( lhs_atom147
  <=> class_Divides_Odiv(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_146,plain,
    ( lhs_atom147
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_44_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ( lhs_atom148
  <=> class_Power_Orecpower(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_147,plain,
    ( lhs_atom148
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_45_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> class_Numeral_Onumber(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_148,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_46_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ( lhs_atom150
  <=> class_Parity_Oeven__odd(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_47_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ( lhs_atom151
  <=> class_LOrder_Ojoin__semilorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_150,plain,
    ( lhs_atom151
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_5_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ( lhs_atom152
  <=> class_LOrder_Olorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_151,plain,
    ( lhs_atom152
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_6_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ( lhs_atom153
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_152,plain,
    ( lhs_atom153
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_7_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ( lhs_atom154
  <=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_153,plain,
    ( lhs_atom154
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_8_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ( lhs_atom155
  <=> class_HOL_Ominus(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_154,plain,
    ( lhs_atom155
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat_9_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ! [T_1] :
      ( lhs_atom156(T_1)
    <=> class_HOL_Ominus(tc_set(T_1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_155,plain,
    ! [T_1] :
      ( lhs_atom156(T_1)
      | $false ),
    inference(fold_definition,[status(thm)],[clsarity_set_0_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ! [T_1] :
      ( lhs_atom157(T_1)
    <=> class_Orderings_Oord(tc_set(T_1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_156,plain,
    ! [T_1] :
      ( lhs_atom157(T_1)
      | $false ),
    inference(fold_definition,[status(thm)],[clsarity_set_1_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ! [T_1] :
      ( lhs_atom158(T_1)
    <=> class_Orderings_Oorder(tc_set(T_1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_157,plain,
    ! [T_1] :
      ( lhs_atom158(T_1)
      | $false ),
    inference(fold_definition,[status(thm)],[clsarity_set_2_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [T_1] :
      ( lhs_atom159(T_1)
    <=> class_Nat_Opower(tc_set(T_1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_158,plain,
    ! [T_1] :
      ( lhs_atom159(T_1)
      | $false ),
    inference(fold_definition,[status(thm)],[clsarity_set_4_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ! [V_k] :
      ( lhs_atom160(V_k)
    <=> c_Binomial_Obinomial(c_0,c_Suc(V_k)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_159,plain,
    ! [V_k] :
      ( lhs_atom160(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__0__Suc_0_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ! [V_y] :
      ( lhs_atom161(V_y)
    <=> c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_160,plain,
    ! [V_y] :
      ( lhs_atom161(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__1_0_0,def_lhs_atom161]) ).

fof(def_lhs_atom162,axiom,
    ! [V_n,V_k] :
      ( lhs_atom162(V_n,V_k)
    <=> c_Binomial_Obinomial(c_Suc(V_n),c_Suc(V_k)) = c_plus(c_Binomial_Obinomial(V_n,V_k),c_Binomial_Obinomial(V_n,c_Suc(V_k)),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_161,plain,
    ! [V_k,V_n] :
      ( lhs_atom162(V_n,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__Suc__Suc_0_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ! [V_n] :
      ( lhs_atom163(V_n)
    <=> c_Binomial_Obinomial(c_Suc(V_n),V_n) = c_Suc(V_n) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_162,plain,
    ! [V_n] :
      ( lhs_atom163(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__Suc__n_0_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ! [V_n] :
      ( lhs_atom164(V_n)
    <=> c_Binomial_Obinomial(V_n,c_0) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_163,plain,
    ! [V_n] :
      ( lhs_atom164(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__n__0_0_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ! [V_n] :
      ( lhs_atom165(V_n)
    <=> c_Binomial_Obinomial(V_n,V_n) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_164,plain,
    ! [V_n] :
      ( lhs_atom165(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Binomial_Obinomial__n__n_0_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ! [V_x,T_a] :
      ( lhs_atom166(V_x,T_a)
    <=> c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_165,plain,
    ! [T_a,V_x] :
      ( lhs_atom166(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Oelem__o2s_1_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ! [V_x,T_a__1] :
      ( lhs_atom167(V_x,T_a__1)
    <=> c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a__1),T_a__1) = c_insert(V_x,c_emptyset,T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_166,plain,
    ! [T_a__1,V_x] :
      ( lhs_atom167(V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Oo2s_Osimps__2_0_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ! [T_a] :
      ( lhs_atom168(T_a)
    <=> c_Datatype_Oo2s(c_Datatype_Ooption_ONone,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_167,plain,
    ! [T_a] :
      ( lhs_atom168(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Oo2s__empty__eq_1_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ! [V_a_H,T_a] :
      ( lhs_atom169(V_a_H,T_a)
    <=> c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_168,plain,
    ! [T_a,V_a_H] :
      ( lhs_atom169(V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Odistinct__1_0_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ! [V_a_H,T_a] :
      ( lhs_atom170(V_a_H,T_a)
    <=> c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone ),
    inference(definition,[],[]) ).

fof(to_be_clausified_169,plain,
    ! [T_a,V_a_H] :
      ( lhs_atom170(V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Odistinct__2_0_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ! [T_a] :
      ( lhs_atom171(T_a)
    <=> c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(T_a)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_170,plain,
    ! [T_a] :
      ( lhs_atom171(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Osize__1_0_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ! [V_a,T_a] :
      ( lhs_atom172(V_a,T_a)
    <=> c_Nat_Osize(c_Datatype_Ooption_OSome(V_a,T_a),tc_Datatype_Ooption(T_a)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_171,plain,
    ! [T_a,V_a] :
      ( lhs_atom172(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ooption_Osize__2_0_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ! [V_b,V_a,T_b,T_a] :
      ( lhs_atom173(V_b,V_a,T_b,T_a)
    <=> c_Nat_Osize(c_Pair(V_a,V_b,T_a,T_b),tc_prod(T_a,T_b)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_172,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( lhs_atom173(V_b,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Oprod_Osize_0_0,def_lhs_atom173]) ).

fof(def_lhs_atom174,axiom,
    ! [V_a,T_b,T_a] :
      ( lhs_atom174(V_a,T_b,T_a)
    <=> c_Nat_Osize(c_Sum__Type_OInl(V_a,T_a,T_b),tc_sum(T_a,T_b)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_173,plain,
    ! [T_a,T_b,V_a] :
      ( lhs_atom174(V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Osum_Osize__1_0_0,def_lhs_atom174]) ).

fof(def_lhs_atom175,axiom,
    ! [V_b,T_b,T_a] :
      ( lhs_atom175(V_b,T_b,T_a)
    <=> c_Nat_Osize(c_Sum__Type_OInr(V_b,T_b,T_a),tc_sum(T_a,T_b)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_174,plain,
    ! [T_a,T_b,V_b] :
      ( lhs_atom175(V_b,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Osum_Osize__2_0_0,def_lhs_atom175]) ).

fof(def_lhs_atom176,axiom,
    ! [V_y,T_a] :
      ( lhs_atom176(V_y,T_a)
    <=> c_Datatype_Othe(c_Datatype_Ooption_OSome(V_y,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_175,plain,
    ! [T_a,V_y] :
      ( lhs_atom176(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Othe_Osimps_0_0,def_lhs_atom176]) ).

fof(def_lhs_atom177,axiom,
    ! [V_y,T_a] :
      ( lhs_atom177(V_y,T_a)
    <=> c_Datatype_Ounit_Ounit__case(V_y,c_Product__Type_OUnity,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_176,plain,
    ! [T_a,V_y] :
      ( lhs_atom177(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ounit_Ocases_0_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ! [V_y,T_a] :
      ( lhs_atom178(V_y,T_a)
    <=> c_Datatype_Ounit_Ounit__rec(V_y,c_Product__Type_OUnity,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_177,plain,
    ! [T_a,V_y] :
      ( lhs_atom178(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ounit_Orecs_0_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ( lhs_atom179
  <=> c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_178,plain,
    ( lhs_atom179
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype_Ounit_Osize_0_0,def_lhs_atom179]) ).

fof(def_lhs_atom180,axiom,
    ! [V_a,V_N,V_M,T_b,T_a] :
      ( lhs_atom180(V_a,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_179,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( lhs_atom180(V_a,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OAtom__not__Scons_0_0,def_lhs_atom180]) ).

fof(def_lhs_atom181,axiom,
    ! [V_s,V_r,T_b,T_a] :
      ( lhs_atom181(V_s,V_r,T_b,T_a)
    <=> c_Relation_ODomain(c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_180,plain,
    ! [T_a,T_b,V_r,V_s] :
      ( lhs_atom181(V_s,V_r,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ODomain__dprod_0_0,def_lhs_atom181]) ).

fof(def_lhs_atom182,axiom,
    ! [V_s,V_r,T_b,T_a] :
      ( lhs_atom182(V_s,V_r,T_b,T_a)
    <=> c_Relation_ODomain(c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_181,plain,
    ! [T_a,T_b,V_r,V_s] :
      ( lhs_atom182(V_s,V_r,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ODomain__dsum_0_0,def_lhs_atom182]) ).

fof(def_lhs_atom183,axiom,
    ! [V_N,V_M,T_b,T_a] :
      ( lhs_atom183(V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_182,plain,
    ! [T_a,T_b,V_M,V_N] :
      ( lhs_atom183(V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OIn0__not__In1_0_0,def_lhs_atom183]) ).

fof(def_lhs_atom184,axiom,
    ! [V_N,V_M,T_b,T_a] :
      ( lhs_atom184(V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_183,plain,
    ! [T_a,T_b,V_M,V_N] :
      ( lhs_atom184(V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OIn1__not__In0_0_0,def_lhs_atom184]) ).

fof(def_lhs_atom185,axiom,
    ! [V_k,V_a,T_b,T_a] :
      ( lhs_atom185(V_k,V_a,T_b,T_a)
    <=> c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_184,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( lhs_atom185(V_k,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Numb_0_0,def_lhs_atom185]) ).

fof(def_lhs_atom186,axiom,
    ! [V_a,V_N,V_M,T_b,T_a] :
      ( lhs_atom186(V_a,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_185,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( lhs_atom186(V_a,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OLeaf__not__Scons_0_0,def_lhs_atom186]) ).

fof(def_lhs_atom187,axiom,
    ! [V_k,V_a,T_b,T_a] :
      ( lhs_atom187(V_k,V_a,T_b,T_a)
    <=> c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_186,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( lhs_atom187(V_k,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ONumb__not__Leaf_0_0,def_lhs_atom187]) ).

fof(def_lhs_atom188,axiom,
    ! [V_k,V_N,V_M,T_b,T_a] :
      ( lhs_atom188(V_k,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_187,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( lhs_atom188(V_k,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_ONumb__not__Scons_0_0,def_lhs_atom188]) ).

fof(def_lhs_atom189,axiom,
    ! [V_a,V_N,V_M,T_b,T_a] :
      ( lhs_atom189(V_a,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_188,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( lhs_atom189(V_a,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Atom_0_0,def_lhs_atom189]) ).

fof(def_lhs_atom190,axiom,
    ! [V_a,V_N,V_M,T_b,T_a] :
      ( lhs_atom190(V_a,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_189,plain,
    ! [T_a,T_b,V_M,V_N,V_a] :
      ( lhs_atom190(V_a,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Leaf_0_0,def_lhs_atom190]) ).

fof(def_lhs_atom191,axiom,
    ! [V_k,V_N,V_M,T_b,T_a] :
      ( lhs_atom191(V_k,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_190,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( lhs_atom191(V_k,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_OScons__not__Numb_0_0,def_lhs_atom191]) ).

fof(def_lhs_atom192,axiom,
    ! [V_M,T_b,T_a] :
      ( lhs_atom192(V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_0,V_M,T_a,T_b) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_191,plain,
    ! [T_a,T_b,V_M] :
      ( lhs_atom192(V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__0_0_0,def_lhs_atom192]) ).

fof(def_lhs_atom193,axiom,
    ! [V_k,V_a,T_b,T_a] :
      ( lhs_atom193(V_k,V_a,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OAtom(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OAtom(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_192,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( lhs_atom193(V_k,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__Atom_0_0,def_lhs_atom193]) ).

fof(def_lhs_atom194,axiom,
    ! [V_k,V_M,T_b,T_a] :
      ( lhs_atom194(V_k,V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_193,plain,
    ! [T_a,T_b,V_M,V_k] :
      ( lhs_atom194(V_k,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__In0_0_0,def_lhs_atom194]) ).

fof(def_lhs_atom195,axiom,
    ! [V_k,V_M,T_b,T_a] :
      ( lhs_atom195(V_k,V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_194,plain,
    ! [T_a,T_b,V_M,V_k] :
      ( lhs_atom195(V_k,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__In1_0_0,def_lhs_atom195]) ).

fof(def_lhs_atom196,axiom,
    ! [V_k,V_a,T_b,T_a] :
      ( lhs_atom196(V_k,V_a,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OLeaf(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OLeaf(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_195,plain,
    ! [T_a,T_b,V_a,V_k] :
      ( lhs_atom196(V_k,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__Leaf_0_0,def_lhs_atom196]) ).

fof(def_lhs_atom197,axiom,
    ! [V_k,V_i,T_b,T_a] :
      ( lhs_atom197(V_k,V_i,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_ONumb(V_i,T_a,T_b),T_a,T_b) = c_Datatype__Universe_ONumb(V_i,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_196,plain,
    ! [T_a,T_b,V_i,V_k] :
      ( lhs_atom197(V_k,V_i,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__Numb_0_0,def_lhs_atom197]) ).

fof(def_lhs_atom198,axiom,
    ! [V_k,V_N,V_M,T_b,T_a] :
      ( lhs_atom198(V_k,V_N,V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(V_k,V_M,T_a,T_b),c_Datatype__Universe_Ontrunc(V_k,V_N,T_a,T_b),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_197,plain,
    ! [T_a,T_b,V_M,V_N,V_k] :
      ( lhs_atom198(V_k,V_N,V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__Scons_0_0,def_lhs_atom198]) ).

fof(def_lhs_atom199,axiom,
    ! [V_M,T_b,T_a] :
      ( lhs_atom199(V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_198,plain,
    ! [T_a,T_b,V_M] :
      ( lhs_atom199(V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__one__In0_0_0,def_lhs_atom199]) ).

fof(def_lhs_atom200,axiom,
    ! [V_M,T_b,T_a] :
      ( lhs_atom200(V_M,T_b,T_a)
    <=> c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_199,plain,
    ! [T_a,T_b,V_M] :
      ( lhs_atom200(V_M,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Datatype__Universe_Ontrunc__one__In1_0_0,def_lhs_atom200]) ).

fof(def_lhs_atom201,axiom,
    ! [V_a] :
      ( lhs_atom201(V_a)
    <=> c_div(V_a,c_0,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_200,plain,
    ! [V_a] :
      ( lhs_atom201(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_ODIVISION__BY__ZERO__DIV_0_0,def_lhs_atom201]) ).

fof(def_lhs_atom202,axiom,
    ! [V_y] :
      ( lhs_atom202(V_y)
    <=> c_Divides_Oop_Amod(V_y,c_0,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_201,plain,
    ! [V_y] :
      ( lhs_atom202(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_ODIVISION__BY__ZERO__MOD_0_0,def_lhs_atom202]) ).

fof(def_lhs_atom203,axiom,
    ! [V_m] :
      ( lhs_atom203(V_m)
    <=> c_div(c_0,V_m,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_202,plain,
    ! [V_m] :
      ( lhs_atom203(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odiv__0_0_0,def_lhs_atom203]) ).

fof(def_lhs_atom204,axiom,
    ! [V_y] :
      ( lhs_atom204(V_y)
    <=> c_div(V_y,c_Suc(c_0),tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_203,plain,
    ! [V_y] :
      ( lhs_atom204(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odiv__1_0_0,def_lhs_atom204]) ).

fof(def_lhs_atom205,axiom,
    ! [V_n,V_m] :
      ( lhs_atom205(V_n,V_m)
    <=> c_lessequals(c_div(V_m,V_n,tc_nat),V_m,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_204,plain,
    ! [V_m,V_n] :
      ( lhs_atom205(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odiv__le__dividend_0_0,def_lhs_atom205]) ).

fof(def_lhs_atom206,axiom,
    ( lhs_atom206
  <=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_205,plain,
    ( lhs_atom206
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__0__left__iff_1_0,def_lhs_atom206]) ).

fof(def_lhs_atom207,axiom,
    ( lhs_atom207
  <=> c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_206,plain,
    ( lhs_atom207
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__1__iff__1_1_0,def_lhs_atom207]) ).

fof(def_lhs_atom208,axiom,
    ! [V_m] :
      ( lhs_atom208(V_m)
    <=> c_Divides_Oop_Advd(V_m,V_m,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_207,plain,
    ! [V_m] :
      ( lhs_atom208(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Odvd__refl_0_0,def_lhs_atom208]) ).

fof(def_lhs_atom209,axiom,
    ! [V_m] :
      ( lhs_atom209(V_m)
    <=> c_Divides_Oop_Amod(c_0,V_m,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_208,plain,
    ! [V_m] :
      ( lhs_atom209(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__0_0_0,def_lhs_atom209]) ).

fof(def_lhs_atom210,axiom,
    ! [V_m] :
      ( lhs_atom210(V_m)
    <=> c_Divides_Oop_Amod(V_m,c_Suc(c_0),tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_209,plain,
    ! [V_m] :
      ( lhs_atom210(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__1_0_0,def_lhs_atom210]) ).

fof(def_lhs_atom211,axiom,
    ! [V_n,V_m] :
      ( lhs_atom211(V_n,V_m)
    <=> c_Divides_Oop_Amod(c_plus(V_n,V_m,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_210,plain,
    ! [V_m,V_n] :
      ( lhs_atom211(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__add__self1_0_0,def_lhs_atom211]) ).

fof(def_lhs_atom212,axiom,
    ! [V_n,V_m] :
      ( lhs_atom212(V_n,V_m)
    <=> c_Divides_Oop_Amod(c_plus(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_211,plain,
    ! [V_m,V_n] :
      ( lhs_atom212(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__add__self2_0_0,def_lhs_atom212]) ).

fof(def_lhs_atom213,axiom,
    ! [V_n,V_m,V_k] :
      ( lhs_atom213(V_n,V_m,V_k)
    <=> c_Divides_Oop_Amod(c_plus(V_m,c_times(V_k,V_n,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_212,plain,
    ! [V_k,V_m,V_n] :
      ( lhs_atom213(V_n,V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__mult__self1_0_0,def_lhs_atom213]) ).

fof(def_lhs_atom214,axiom,
    ! [V_n,V_m] :
      ( lhs_atom214(V_n,V_m)
    <=> c_Divides_Oop_Amod(c_times(V_n,V_m,tc_nat),V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_213,plain,
    ! [V_m,V_n] :
      ( lhs_atom214(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__mult__self1__is__0_0_0,def_lhs_atom214]) ).

fof(def_lhs_atom215,axiom,
    ! [V_n,V_m,V_k] :
      ( lhs_atom215(V_n,V_m,V_k)
    <=> c_Divides_Oop_Amod(c_plus(V_m,c_times(V_n,V_k,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_214,plain,
    ! [V_k,V_m,V_n] :
      ( lhs_atom215(V_n,V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__mult__self2_0_0,def_lhs_atom215]) ).

fof(def_lhs_atom216,axiom,
    ! [V_n,V_m] :
      ( lhs_atom216(V_n,V_m)
    <=> c_Divides_Oop_Amod(c_times(V_m,V_n,tc_nat),V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_215,plain,
    ! [V_m,V_n] :
      ( lhs_atom216(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__mult__self__is__0_0_0,def_lhs_atom216]) ).

fof(def_lhs_atom217,axiom,
    ! [V_n] :
      ( lhs_atom217(V_n)
    <=> c_Divides_Oop_Amod(V_n,V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_216,plain,
    ! [V_n] :
      ( lhs_atom217(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Omod__self_0_0,def_lhs_atom217]) ).

fof(def_lhs_atom218,axiom,
    ! [V_n,V_m] :
      ( lhs_atom218(V_n,V_m)
    <=> c_div(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_217,plain,
    ! [V_m,V_n] :
      ( lhs_atom218(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Onat__mod__div__trivial_0_0,def_lhs_atom218]) ).

fof(def_lhs_atom219,axiom,
    ! [V_n,V_m] :
      ( lhs_atom219(V_n,V_m)
    <=> c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_218,plain,
    ! [V_m,V_n] :
      ( lhs_atom219(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Divides_Onat__mod__mod__trivial_0_0,def_lhs_atom219]) ).

fof(def_lhs_atom220,axiom,
    ! [V_r,T_a] :
      ( lhs_atom220(V_r,T_a)
    <=> c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_219,plain,
    ! [T_a,V_r] :
      ( lhs_atom220(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty2_1_0,def_lhs_atom220]) ).

fof(to_be_clausified_220,plain,
    ! [T_a,V_r] :
      ( lhs_atom220(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Equiv__Relations_Oquotient__is__empty_1_0,def_lhs_atom220]) ).

fof(def_lhs_atom221,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom221(V_y,V_f2,T_a)
    <=> c_Extraction_Osumbool_Osumbool__case(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_221,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom221(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Ocases__1_0_0,def_lhs_atom221]) ).

fof(def_lhs_atom222,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom222(V_y,V_f1,T_a)
    <=> c_Extraction_Osumbool_Osumbool__case(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_222,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom222(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Ocases__2_0_0,def_lhs_atom222]) ).

fof(def_lhs_atom223,axiom,
    ( lhs_atom223
  <=> c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
    inference(definition,[],[]) ).

fof(to_be_clausified_223,plain,
    ( lhs_atom223
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Odistinct__1_0_0,def_lhs_atom223]) ).

fof(def_lhs_atom224,axiom,
    ( lhs_atom224
  <=> c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
    inference(definition,[],[]) ).

fof(to_be_clausified_224,plain,
    ( lhs_atom224
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Odistinct__2_0_0,def_lhs_atom224]) ).

fof(def_lhs_atom225,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom225(V_y,V_f2,T_a)
    <=> c_Extraction_Osumbool_Osumbool__rec(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_225,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom225(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Orecs__1_0_0,def_lhs_atom225]) ).

fof(def_lhs_atom226,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom226(V_y,V_f1,T_a)
    <=> c_Extraction_Osumbool_Osumbool__rec(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_226,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom226(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Orecs__2_0_0,def_lhs_atom226]) ).

fof(def_lhs_atom227,axiom,
    ( lhs_atom227
  <=> c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_227,plain,
    ( lhs_atom227
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Osize__1_0_0,def_lhs_atom227]) ).

fof(def_lhs_atom228,axiom,
    ( lhs_atom228
  <=> c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_228,plain,
    ( lhs_atom228
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Extraction_Osumbool_Osize__2_0_0,def_lhs_atom228]) ).

fof(def_lhs_atom229,axiom,
    ! [T_a] :
      ( lhs_atom229(T_a)
    <=> c_Finite__Set_Ocard(c_emptyset,T_a) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_229,plain,
    ! [T_a] :
      ( lhs_atom229(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Finite__Set_Ocard__empty_0_0,def_lhs_atom229]) ).

fof(def_lhs_atom230,axiom,
    ! [V_y] :
      ( lhs_atom230(V_y)
    <=> c_NatArith_Oof__nat(V_y,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_230,plain,
    ! [V_y] :
      ( lhs_atom230(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Finite__Set_Oof__nat__id_0_0,def_lhs_atom230]) ).

fof(def_lhs_atom231,axiom,
    ! [V_y,T_a] :
      ( lhs_atom231(V_y,T_a)
    <=> c_Fun_Oid(V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_231,plain,
    ! [T_a,V_y] :
      ( lhs_atom231(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Fun_Oid__apply_0_0,def_lhs_atom231]) ).

fof(def_lhs_atom232,axiom,
    ! [V_y] :
      ( lhs_atom232(V_y)
    <=> c_GCD_Ogcd(c_Pair(V_y,c_0,tc_nat,tc_nat)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_232,plain,
    ! [V_y] :
      ( lhs_atom232(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__0_0_0,def_lhs_atom232]) ).

fof(def_lhs_atom233,axiom,
    ! [V_y] :
      ( lhs_atom233(V_y)
    <=> c_GCD_Ogcd(c_Pair(c_0,V_y,tc_nat,tc_nat)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_233,plain,
    ! [V_y] :
      ( lhs_atom233(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__0__left_0_0,def_lhs_atom233]) ).

fof(def_lhs_atom234,axiom,
    ! [V_m] :
      ( lhs_atom234(V_m)
    <=> c_GCD_Ogcd(c_Pair(V_m,c_Suc(c_0),tc_nat,tc_nat)) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_234,plain,
    ! [V_m] :
      ( lhs_atom234(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__1_0_0,def_lhs_atom234]) ).

fof(def_lhs_atom235,axiom,
    ! [V_m] :
      ( lhs_atom235(V_m)
    <=> c_GCD_Ogcd(c_Pair(c_Suc(c_0),V_m,tc_nat,tc_nat)) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_235,plain,
    ! [V_m] :
      ( lhs_atom235(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__1__left_0_0,def_lhs_atom235]) ).

fof(def_lhs_atom236,axiom,
    ! [V_n,V_m] :
      ( lhs_atom236(V_n,V_m)
    <=> c_GCD_Ogcd(c_Pair(c_plus(V_m,V_n,tc_nat),V_n,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_236,plain,
    ! [V_m,V_n] :
      ( lhs_atom236(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__add1_0_0,def_lhs_atom236]) ).

fof(def_lhs_atom237,axiom,
    ! [V_n,V_m] :
      ( lhs_atom237(V_n,V_m)
    <=> c_GCD_Ogcd(c_Pair(V_m,c_plus(V_m,V_n,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_237,plain,
    ! [V_m,V_n] :
      ( lhs_atom237(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__add2_0_0,def_lhs_atom237]) ).

fof(def_lhs_atom238,axiom,
    ! [V_n,V_m] :
      ( lhs_atom238(V_n,V_m)
    <=> c_GCD_Ogcd(c_Pair(V_m,c_plus(V_n,V_m,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_238,plain,
    ! [V_m,V_n] :
      ( lhs_atom238(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__add2_H_0_0,def_lhs_atom238]) ).

fof(def_lhs_atom239,axiom,
    ! [V_y,V_n] :
      ( lhs_atom239(V_y,V_n)
    <=> c_GCD_Ogcd(c_Pair(V_y,c_times(V_y,V_n,tc_nat),tc_nat,tc_nat)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_239,plain,
    ! [V_n,V_y] :
      ( lhs_atom239(V_y,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__mult_0_0,def_lhs_atom239]) ).

fof(def_lhs_atom240,axiom,
    ! [V_y] :
      ( lhs_atom240(V_y)
    <=> c_GCD_Ogcd(c_Pair(V_y,V_y,tc_nat,tc_nat)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_240,plain,
    ! [V_y] :
      ( lhs_atom240(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_GCD_Ogcd__self_0_0,def_lhs_atom240]) ).

fof(def_lhs_atom241,axiom,
    ( lhs_atom241
  <=> ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_241,plain,
    ( lhs_atom241
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Infinite__Set_Onat__infinite_0_0,def_lhs_atom241]) ).

fof(def_lhs_atom242,axiom,
    ( lhs_atom242
  <=> c_IntDef_Onat(c_1) = c_Suc(c_0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_242,plain,
    ( lhs_atom242
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntArith_Onat__1_0_0,def_lhs_atom242]) ).

fof(def_lhs_atom243,axiom,
    ! [V_z,V_w] :
      ( lhs_atom243(V_z,V_w)
    <=> c_plus(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(V_z,V_w,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_243,plain,
    ! [V_w,V_z] :
      ( lhs_atom243(V_z,V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0_0,def_lhs_atom243]) ).

fof(def_lhs_atom244,axiom,
    ( lhs_atom244
  <=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_244,plain,
    ( lhs_atom244
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntArith_Ozabs__less__one__iff_1_0,def_lhs_atom244]) ).

fof(def_lhs_atom245,axiom,
    ! [V_m] :
      ( lhs_atom245(V_m)
    <=> c_HOL_Oabs(c_IntDef_Oint(V_m),tc_IntDef_Oint) = c_IntDef_Oint(V_m) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_245,plain,
    ! [V_m] :
      ( lhs_atom245(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oabs__int__eq_0_0,def_lhs_atom245]) ).

fof(def_lhs_atom246,axiom,
    ( lhs_atom246
  <=> c_0 != c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_246,plain,
    ( lhs_atom246
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__0__neq__1_0_0,def_lhs_atom246]) ).

fof(def_lhs_atom247,axiom,
    ( lhs_atom247
  <=> c_IntDef_Oint(c_1) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_247,plain,
    ( lhs_atom247
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__1_0_0,def_lhs_atom247]) ).

fof(def_lhs_atom248,axiom,
    ! [V_m] :
      ( lhs_atom248(V_m)
    <=> c_IntDef_Oint(c_Suc(V_m)) = c_plus(c_1,c_IntDef_Oint(V_m),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_248,plain,
    ! [V_m] :
      ( lhs_atom248(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__Suc_0_0,def_lhs_atom248]) ).

fof(def_lhs_atom249,axiom,
    ( lhs_atom249
  <=> c_IntDef_Oint(c_0) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_249,plain,
    ( lhs_atom249
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__eq__0__conv_1_0,def_lhs_atom249]) ).

fof(def_lhs_atom250,axiom,
    ( lhs_atom250
  <=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_250,plain,
    ( lhs_atom250
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__le__0__conv_1_0,def_lhs_atom250]) ).

fof(def_lhs_atom251,axiom,
    ! [V_k] :
      ( lhs_atom251(V_k)
    <=> ~ c_less(c_IntDef_Oint(V_k),c_0,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_251,plain,
    ! [V_k] :
      ( lhs_atom251(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oint__less__0__conv_0_0,def_lhs_atom251]) ).

fof(def_lhs_atom252,axiom,
    ! [V_y,V_x] :
      ( lhs_atom252(V_y,V_x)
    <=> c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(V_x,V_y,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_252,plain,
    ! [V_x,V_y] :
      ( lhs_atom252(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0_0,def_lhs_atom252]) ).

fof(def_lhs_atom253,axiom,
    ! [V_y] :
      ( lhs_atom253(V_y)
    <=> c_IntDef_Onat(c_IntDef_Oint(V_y)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_253,plain,
    ! [V_y] :
      ( lhs_atom253(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onat__int_0_0,def_lhs_atom253]) ).

fof(def_lhs_atom254,axiom,
    ( lhs_atom254
  <=> c_IntDef_Onat(c_0) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_254,plain,
    ( lhs_atom254
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onat__zero_0_0,def_lhs_atom254]) ).

fof(def_lhs_atom255,axiom,
    ! [V_n] :
      ( lhs_atom255(V_n)
    <=> c_IntDef_Onat(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_255,plain,
    ! [V_n] :
      ( lhs_atom255(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onat__zminus__int_0_0,def_lhs_atom255]) ).

fof(def_lhs_atom256,axiom,
    ! [V_n] :
      ( lhs_atom256(V_n)
    <=> c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_256,plain,
    ! [V_n] :
      ( lhs_atom256(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Oneg__zminus__int_0_0,def_lhs_atom256]) ).

fof(def_lhs_atom257,axiom,
    ( lhs_atom257
  <=> c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_257,plain,
    ( lhs_atom257
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onegative__eq__positive_2_0,def_lhs_atom257]) ).

fof(def_lhs_atom258,axiom,
    ! [V_n,V_m] :
      ( lhs_atom258(V_n,V_m)
    <=> ~ c_less(c_IntDef_Oint(V_n),c_uminus(c_IntDef_Oint(V_m),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_258,plain,
    ! [V_m,V_n] :
      ( lhs_atom258(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onot__int__zless__negative_0_0,def_lhs_atom258]) ).

fof(def_lhs_atom259,axiom,
    ! [V_n] :
      ( lhs_atom259(V_n)
    <=> ~ c_IntDef_Oneg(c_IntDef_Oint(V_n),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_259,plain,
    ! [V_n] :
      ( lhs_atom259(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onot__neg__int_0_0,def_lhs_atom259]) ).

fof(def_lhs_atom260,axiom,
    ! [V_n] :
      ( lhs_atom260(V_n)
    <=> ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_260,plain,
    ! [V_n] :
      ( lhs_atom260(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Onot__zle__0__negative_0_0,def_lhs_atom260]) ).

fof(def_lhs_atom261,axiom,
    ! [V_n] :
      ( lhs_atom261(V_n)
    <=> c_lessequals(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_261,plain,
    ! [V_n] :
      ( lhs_atom261(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDef_Ozero__zle__int_0_0,def_lhs_atom261]) ).

fof(def_lhs_atom262,axiom,
    ! [V_y] :
      ( lhs_atom262(V_y)
    <=> c_Divides_Oop_Amod(V_y,c_0,tc_IntDef_Oint) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_262,plain,
    ! [V_y] :
      ( lhs_atom262(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_ODIVISION__BY__ZERO_0_0,def_lhs_atom262]) ).

fof(def_lhs_atom263,axiom,
    ! [V_b,V_a] :
      ( lhs_atom263(V_b,V_a)
    <=> c_div(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_263,plain,
    ! [V_a,V_b] :
      ( lhs_atom263(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Omod__div__trivial_0_0,def_lhs_atom263]) ).

fof(def_lhs_atom264,axiom,
    ! [V_b,V_a] :
      ( lhs_atom264(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_264,plain,
    ! [V_a,V_b] :
      ( lhs_atom264(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Omod__mod__trivial_0_0,def_lhs_atom264]) ).

fof(def_lhs_atom265,axiom,
    ! [V_b] :
      ( lhs_atom265(V_b)
    <=> c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(V_b,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_265,plain,
    ! [V_b] :
      ( lhs_atom265(V_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_OnegDivAlg__minus1_0_0,def_lhs_atom265]) ).

fof(def_lhs_atom266,axiom,
    ! [V_r,V_q] :
      ( lhs_atom266(V_r,V_q)
    <=> c_IntDiv_OnegateSnd(c_Pair(V_q,V_r,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(V_q,c_uminus(V_r,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_266,plain,
    ! [V_q,V_r] :
      ( lhs_atom266(V_r,V_q)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_OnegateSnd__eq_0_0,def_lhs_atom266]) ).

fof(def_lhs_atom267,axiom,
    ! [V_b] :
      ( lhs_atom267(V_b)
    <=> c_IntDiv_OposDivAlg(c_Pair(c_0,V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_267,plain,
    ! [V_b] :
      ( lhs_atom267(V_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_OposDivAlg__0_0_0,def_lhs_atom267]) ).

fof(def_lhs_atom268,axiom,
    ! [V_p] :
      ( lhs_atom268(V_p)
    <=> c_Nat_Opower(V_p,c_0,tc_IntDef_Oint) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_268,plain,
    ! [V_p] :
      ( lhs_atom268(V_p)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Opower_Osimps__1_0_0,def_lhs_atom268]) ).

fof(def_lhs_atom269,axiom,
    ! [V_p,V_n] :
      ( lhs_atom269(V_p,V_n)
    <=> c_Nat_Opower(V_p,c_Suc(V_n),tc_IntDef_Oint) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_269,plain,
    ! [V_n,V_p] :
      ( lhs_atom269(V_p,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Opower_Osimps__2_0_0,def_lhs_atom269]) ).

fof(def_lhs_atom270,axiom,
    ! [V_y] :
      ( lhs_atom270(V_y)
    <=> c_div(V_y,c_1,tc_IntDef_Oint) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_270,plain,
    ! [V_y] :
      ( lhs_atom270(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdiv__1_0_0,def_lhs_atom270]) ).

fof(def_lhs_atom271,axiom,
    ! [V_a] :
      ( lhs_atom271(V_a)
    <=> c_div(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(V_a,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_271,plain,
    ! [V_a] :
      ( lhs_atom271(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdiv__minus1__right_0_0,def_lhs_atom271]) ).

fof(def_lhs_atom272,axiom,
    ! [V_w,V_v] :
      ( lhs_atom272(V_w,V_v)
    <=> c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_272,plain,
    ! [V_v,V_w] :
      ( lhs_atom272(V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdiv__number__of__BIT_0_0,def_lhs_atom272]) ).

fof(def_lhs_atom273,axiom,
    ! [V_b] :
      ( lhs_atom273(V_b)
    <=> c_div(c_0,V_b,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_273,plain,
    ! [V_b] :
      ( lhs_atom273(V_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdiv__zero_0_0,def_lhs_atom273]) ).

fof(def_lhs_atom274,axiom,
    ! [V_b,V_a] :
      ( lhs_atom274(V_b,V_a)
    <=> c_div(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(V_a,V_b,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_274,plain,
    ! [V_a,V_b] :
      ( lhs_atom274(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdiv__zminus__zminus_0_0,def_lhs_atom274]) ).

fof(def_lhs_atom275,axiom,
    ( lhs_atom275
  <=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_275,plain,
    ( lhs_atom275
    | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__0__left_1_0,def_lhs_atom275]) ).

fof(def_lhs_atom276,axiom,
    ! [V_m] :
      ( lhs_atom276(V_m)
    <=> c_Divides_Oop_Advd(V_m,V_m,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_276,plain,
    ! [V_m] :
      ( lhs_atom276(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozdvd__refl_0_0,def_lhs_atom276]) ).

fof(def_lhs_atom277,axiom,
    ! [V_x,V_n] :
      ( lhs_atom277(V_x,V_n)
    <=> c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_277,plain,
    ! [V_n,V_x] :
      ( lhs_atom277(V_x,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozero__le__zpower__abs_0_0,def_lhs_atom277]) ).

fof(def_lhs_atom278,axiom,
    ! [V_x] :
      ( lhs_atom278(V_x)
    <=> c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_278,plain,
    ! [V_x] :
      ( lhs_atom278(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozero__less__zpower__abs__iff_2_0,def_lhs_atom278]) ).

fof(def_lhs_atom279,axiom,
    ! [V_a] :
      ( lhs_atom279(V_a)
    <=> c_Divides_Oop_Amod(V_a,c_1,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_279,plain,
    ! [V_a] :
      ( lhs_atom279(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__1_0_0,def_lhs_atom279]) ).

fof(def_lhs_atom280,axiom,
    ! [V_a] :
      ( lhs_atom280(V_a)
    <=> c_Divides_Oop_Amod(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_280,plain,
    ! [V_a] :
      ( lhs_atom280(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__minus1__right_0_0,def_lhs_atom280]) ).

fof(def_lhs_atom281,axiom,
    ! [V_a] :
      ( lhs_atom281(V_a)
    <=> c_Divides_Oop_Amod(V_a,V_a,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_281,plain,
    ! [V_a] :
      ( lhs_atom281(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__self_0_0,def_lhs_atom281]) ).

fof(def_lhs_atom282,axiom,
    ! [V_b,V_a] :
      ( lhs_atom282(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_plus(V_a,V_b,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_282,plain,
    ! [V_a,V_b] :
      ( lhs_atom282(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zadd__self1_0_0,def_lhs_atom282]) ).

fof(def_lhs_atom283,axiom,
    ! [V_b,V_a] :
      ( lhs_atom283(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_plus(V_b,V_a,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_283,plain,
    ! [V_a,V_b] :
      ( lhs_atom283(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zadd__self2_0_0,def_lhs_atom283]) ).

fof(def_lhs_atom284,axiom,
    ! [V_b] :
      ( lhs_atom284(V_b)
    <=> c_Divides_Oop_Amod(c_0,V_b,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_284,plain,
    ! [V_b] :
      ( lhs_atom284(V_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zero_0_0,def_lhs_atom284]) ).

fof(def_lhs_atom285,axiom,
    ! [V_b,V_a] :
      ( lhs_atom285(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_285,plain,
    ! [V_a,V_b] :
      ( lhs_atom285(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zminus__zminus_0_0,def_lhs_atom285]) ).

fof(def_lhs_atom286,axiom,
    ! [V_b,V_a] :
      ( lhs_atom286(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_times(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_286,plain,
    ! [V_a,V_b] :
      ( lhs_atom286(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zmult__self1_0_0,def_lhs_atom286]) ).

fof(def_lhs_atom287,axiom,
    ! [V_b,V_a] :
      ( lhs_atom287(V_b,V_a)
    <=> c_Divides_Oop_Amod(c_times(V_b,V_a,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_287,plain,
    ! [V_a,V_b] :
      ( lhs_atom287(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_IntDiv_Ozmod__zmult__self2_0_0,def_lhs_atom287]) ).

fof(def_lhs_atom288,axiom,
    ! [V_xs,V_r,T_a] :
      ( lhs_atom288(V_xs,V_r,T_a)
    <=> ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_288,plain,
    ! [T_a,V_r,V_xs] :
      ( lhs_atom288(V_xs,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_ONil2__notin__lex_0_0,def_lhs_atom288]) ).

fof(def_lhs_atom289,axiom,
    ! [T_a] :
      ( lhs_atom289(T_a)
    <=> c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_289,plain,
    ! [T_a] :
      ( lhs_atom289(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_ONil__is__append__conv_2_0,def_lhs_atom289]) ).

fof(def_lhs_atom290,axiom,
    ! [T_a] :
      ( lhs_atom290(T_a)
    <=> c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_290,plain,
    ! [T_a] :
      ( lhs_atom290(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_ONil__is__rev__conv_1_0,def_lhs_atom290]) ).

fof(def_lhs_atom291,axiom,
    ! [V_ys,V_r,T_a] :
      ( lhs_atom291(V_ys,V_r,T_a)
    <=> ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_291,plain,
    ! [T_a,V_r,V_ys] :
      ( lhs_atom291(V_ys,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_ONil__notin__lex_0_0,def_lhs_atom291]) ).

fof(def_lhs_atom292,axiom,
    ! [V_zs,V_ys,V_xs,T_a] :
      ( lhs_atom292(V_zs,V_ys,V_xs,T_a)
    <=> c_append(c_append(V_xs,V_ys,T_a),V_zs,T_a) = c_append(V_xs,c_append(V_ys,V_zs,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_292,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( lhs_atom292(V_zs,V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oappend__assoc_0_0,def_lhs_atom292]) ).

fof(to_be_clausified_293,plain,
    ! [T_a] :
      ( lhs_atom289(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oappend__is__Nil__conv_2_0,def_lhs_atom289]) ).

fof(def_lhs_atom293,axiom,
    ! [V_ys,T_a] :
      ( lhs_atom293(V_ys,T_a)
    <=> c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys ),
    inference(definition,[],[]) ).

fof(to_be_clausified_294,plain,
    ! [T_a,V_ys] :
      ( lhs_atom293(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oappend__self__conv2_1_0,def_lhs_atom293]) ).

fof(def_lhs_atom294,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom294(V_xs,T_a)
    <=> c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs ),
    inference(definition,[],[]) ).

fof(to_be_clausified_295,plain,
    ! [T_a,V_xs] :
      ( lhs_atom294(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oappend__self__conv_1_0,def_lhs_atom294]) ).

fof(def_lhs_atom295,axiom,
    ! [V_y,V_n,T_a] :
      ( lhs_atom295(V_y,V_n,T_a)
    <=> c_append(c_List_Otake(V_n,V_y,T_a),c_List_Odrop(V_n,V_y,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_296,plain,
    ! [T_a,V_n,V_y] :
      ( lhs_atom295(V_y,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oappend__take__drop__id_0_0,def_lhs_atom295]) ).

fof(def_lhs_atom296,axiom,
    ! [T_a__1] :
      ( lhs_atom296(T_a__1)
    <=> c_List_Obutlast(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_297,plain,
    ! [T_a__1] :
      ( lhs_atom296(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Obutlast_Osimps__1_0_0,def_lhs_atom296]) ).

fof(def_lhs_atom297,axiom,
    ! [V_x,T_a__1] :
      ( lhs_atom297(V_x,T_a__1)
    <=> c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_298,plain,
    ! [T_a__1,V_x] :
      ( lhs_atom297(V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Obutlast_Osimps__2_0_0,def_lhs_atom297]) ).

fof(def_lhs_atom298,axiom,
    ! [V_y,V_x,T_a] :
      ( lhs_atom298(V_y,V_x,T_a)
    <=> c_List_Obutlast(c_append(V_y,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_299,plain,
    ! [T_a,V_x,V_y] :
      ( lhs_atom298(V_y,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Obutlast__snoc_0_0,def_lhs_atom298]) ).

fof(def_lhs_atom299,axiom,
    ! [V_nibble2,V_nibble1] :
      ( lhs_atom299(V_nibble2,V_nibble1)
    <=> c_Nat_Osize(c_List_Ochar_OChar(V_nibble1,V_nibble2),tc_List_Ochar) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_300,plain,
    ! [V_nibble1,V_nibble2] :
      ( lhs_atom299(V_nibble2,V_nibble1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ochar_Osize_0_0,def_lhs_atom299]) ).

fof(def_lhs_atom300,axiom,
    ! [T_a__1] :
      ( lhs_atom300(T_a__1)
    <=> c_List_Oconcat(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_301,plain,
    ! [T_a__1] :
      ( lhs_atom300(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oconcat_Osimps__1_0_0,def_lhs_atom300]) ).

fof(def_lhs_atom301,axiom,
    ! [V_xs,V_x,T_a__1] :
      ( lhs_atom301(V_xs,V_x,T_a__1)
    <=> c_List_Oconcat(c_List_Olist_OCons(V_x,V_xs,tc_List_Olist(T_a__1)),T_a__1) = c_append(V_x,c_List_Oconcat(V_xs,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_302,plain,
    ! [T_a__1,V_x,V_xs] :
      ( lhs_atom301(V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oconcat_Osimps__2_0_0,def_lhs_atom301]) ).

fof(def_lhs_atom302,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom302(V_ys,V_xs,T_a)
    <=> c_List_Oconcat(c_append(V_xs,V_ys,tc_List_Olist(T_a)),T_a) = c_append(c_List_Oconcat(V_xs,T_a),c_List_Oconcat(V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_303,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom302(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oconcat__append_0_0,def_lhs_atom302]) ).

fof(def_lhs_atom303,axiom,
    ! [T_a__1] :
      ( lhs_atom303(T_a__1)
    <=> c_List_Odistinct(c_List_Olist_ONil,T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_304,plain,
    ! [T_a__1] :
      ( lhs_atom303(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odistinct_Osimps__1_0_0,def_lhs_atom303]) ).

fof(def_lhs_atom304,axiom,
    ! [V_j,V_i] :
      ( lhs_atom304(V_j,V_i)
    <=> c_List_Odistinct(c_List_Oupt(V_i,V_j),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_305,plain,
    ! [V_i,V_j] :
      ( lhs_atom304(V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odistinct__upt_0_0,def_lhs_atom304]) ).

fof(def_lhs_atom305,axiom,
    ! [V_n,T_a__1] :
      ( lhs_atom305(V_n,T_a__1)
    <=> c_List_Odrop(V_n,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_306,plain,
    ! [T_a__1,V_n] :
      ( lhs_atom305(V_n,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop_Odrop__Nil_0_0,def_lhs_atom305]) ).

fof(def_lhs_atom306,axiom,
    ! [V_y,T_a] :
      ( lhs_atom306(V_y,T_a)
    <=> c_List_Odrop(c_0,V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_307,plain,
    ! [T_a,V_y] :
      ( lhs_atom306(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__0_0_0,def_lhs_atom306]) ).

fof(def_lhs_atom307,axiom,
    ! [V_xs,V_x,V_n,T_a] :
      ( lhs_atom307(V_xs,V_x,V_n,T_a)
    <=> c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_308,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( lhs_atom307(V_xs,V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__Suc__Cons_0_0,def_lhs_atom307]) ).

fof(def_lhs_atom308,axiom,
    ! [V_ys,V_xs,V_n,T_a] :
      ( lhs_atom308(V_ys,V_xs,V_n,T_a)
    <=> c_List_Odrop(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_309,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( lhs_atom308(V_ys,V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__append_0_0,def_lhs_atom308]) ).

fof(def_lhs_atom309,axiom,
    ! [V_xs,V_n,V_m,T_a] :
      ( lhs_atom309(V_xs,V_n,V_m,T_a)
    <=> c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_plus(V_n,V_m,tc_nat),V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_310,plain,
    ! [T_a,V_m,V_n,V_xs] :
      ( lhs_atom309(V_xs,V_n,V_m,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__drop_0_0,def_lhs_atom309]) ).

fof(def_lhs_atom310,axiom,
    ! [V_x,V_k,V_i,T_a] :
      ( lhs_atom310(V_x,V_k,V_i,T_a)
    <=> c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_minus(V_k,V_i,tc_nat),V_x,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_311,plain,
    ! [T_a,V_i,V_k,V_x] :
      ( lhs_atom310(V_x,V_k,V_i,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__replicate_0_0,def_lhs_atom310]) ).

fof(def_lhs_atom311,axiom,
    ! [V_m,V_j,V_i] :
      ( lhs_atom311(V_m,V_j,V_i)
    <=> c_List_Odrop(V_m,c_List_Oupt(V_i,V_j),tc_nat) = c_List_Oupt(c_plus(V_i,V_m,tc_nat),V_j) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_312,plain,
    ! [V_i,V_j,V_m] :
      ( lhs_atom311(V_m,V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Odrop__upt_0_0,def_lhs_atom311]) ).

fof(def_lhs_atom312,axiom,
    ! [V_y,V_xs,T_a] :
      ( lhs_atom312(V_y,V_xs,T_a)
    <=> c_List_Ohd(c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_313,plain,
    ! [T_a,V_xs,V_y] :
      ( lhs_atom312(V_y,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ohd_Osimps_0_0,def_lhs_atom312]) ).

fof(def_lhs_atom313,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom313(V_xs,V_x,T_a)
    <=> c_List_Oitrev(V_xs,V_x,T_a) = c_append(c_List_Orev(V_xs,T_a),V_x,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_314,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom313(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oitrev_0_0,def_lhs_atom313]) ).

fof(def_lhs_atom314,axiom,
    ! [V_y,T_a__1] :
      ( lhs_atom314(V_y,T_a__1)
    <=> c_List_Oitrev(c_List_Olist_ONil,V_y,T_a__1) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_315,plain,
    ! [T_a__1,V_y] :
      ( lhs_atom314(V_y,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oitrev_Osimps__1_0_0,def_lhs_atom314]) ).

fof(def_lhs_atom315,axiom,
    ! [V_ys,V_xs,V_x,T_a__1] :
      ( lhs_atom315(V_ys,V_xs,V_x,T_a__1)
    <=> c_List_Oitrev(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Oitrev(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_316,plain,
    ! [T_a__1,V_x,V_xs,V_ys] :
      ( lhs_atom315(V_ys,V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oitrev_Osimps__2_0_0,def_lhs_atom315]) ).

fof(def_lhs_atom316,axiom,
    ! [V_x,T_a] :
      ( lhs_atom316(V_x,T_a)
    <=> c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = V_x ),
    inference(definition,[],[]) ).

fof(to_be_clausified_317,plain,
    ! [T_a,V_x] :
      ( lhs_atom316(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olast_Osimps_0_0,def_lhs_atom316]) ).

fof(def_lhs_atom317,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom317(V_xs,T_a)
    <=> c_List_Olast(c_append(V_xs,c_List_Olist_ONil,T_a),T_a) = c_List_Olast(V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_318,plain,
    ! [T_a,V_xs] :
      ( lhs_atom317(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olast__appendL_0_0,def_lhs_atom317]) ).

fof(def_lhs_atom318,axiom,
    ! [V_y,V_xs,T_a] :
      ( lhs_atom318(V_y,V_xs,T_a)
    <=> c_List_Olast(c_append(V_xs,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_319,plain,
    ! [T_a,V_xs,V_y] :
      ( lhs_atom318(V_y,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olast__snoc_0_0,def_lhs_atom318]) ).

fof(def_lhs_atom319,axiom,
    ! [T_a] :
      ( lhs_atom319(T_a)
    <=> c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_320,plain,
    ! [T_a] :
      ( lhs_atom319(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__0__conv_1_0,def_lhs_atom319]) ).

fof(def_lhs_atom320,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom320(V_ys,V_xs,T_a)
    <=> c_Nat_Osize(c_append(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_321,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom320(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__append_0_0,def_lhs_atom320]) ).

fof(def_lhs_atom321,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom321(V_xs,T_a)
    <=> c_Nat_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_322,plain,
    ! [T_a,V_xs] :
      ( lhs_atom321(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__butlast_0_0,def_lhs_atom321]) ).

fof(def_lhs_atom322,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom322(V_xs,V_n,T_a)
    <=> c_Nat_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_323,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom322(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__drop_0_0,def_lhs_atom322]) ).

fof(def_lhs_atom323,axiom,
    ! [T_a] :
      ( lhs_atom323(T_a)
    <=> ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_324,plain,
    ! [T_a] :
      ( lhs_atom323(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__greater__0__conv_0_0,def_lhs_atom323]) ).

fof(def_lhs_atom324,axiom,
    ! [V_xs,V_x,V_i,T_a] :
      ( lhs_atom324(V_xs,V_x,V_i,T_a)
    <=> c_Nat_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_325,plain,
    ! [T_a,V_i,V_x,V_xs] :
      ( lhs_atom324(V_xs,V_x,V_i,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__list__update_0_0,def_lhs_atom324]) ).

fof(def_lhs_atom325,axiom,
    ! [V_y,V_x,T_a] :
      ( lhs_atom325(V_y,V_x,T_a)
    <=> c_Nat_Osize(c_List_Oreplicate(V_y,V_x,T_a),tc_List_Olist(T_a)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_326,plain,
    ! [T_a,V_x,V_y] :
      ( lhs_atom325(V_y,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__replicate_0_0,def_lhs_atom325]) ).

fof(def_lhs_atom326,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom326(V_xs,T_a)
    <=> c_Nat_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_327,plain,
    ! [T_a,V_xs] :
      ( lhs_atom326(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__rev_0_0,def_lhs_atom326]) ).

fof(def_lhs_atom327,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom327(V_xs,T_a)
    <=> c_Nat_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_328,plain,
    ! [T_a,V_xs] :
      ( lhs_atom327(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__rotate1_0_0,def_lhs_atom327]) ).

fof(def_lhs_atom328,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom328(V_xs,V_n,T_a)
    <=> c_Nat_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_329,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom328(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__rotate_0_0,def_lhs_atom328]) ).

fof(def_lhs_atom329,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom329(V_xs,V_n,T_a)
    <=> c_Nat_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_330,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom329(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__take_0_0,def_lhs_atom329]) ).

fof(def_lhs_atom330,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom330(V_xs,T_a)
    <=> c_Nat_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_331,plain,
    ! [T_a,V_xs] :
      ( lhs_atom330(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__tl_0_0,def_lhs_atom330]) ).

fof(def_lhs_atom331,axiom,
    ! [V_j,V_i] :
      ( lhs_atom331(V_j,V_i)
    <=> c_Nat_Osize(c_List_Oupt(V_i,V_j),tc_List_Olist(tc_nat)) = c_minus(V_j,V_i,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_332,plain,
    ! [V_i,V_j] :
      ( lhs_atom331(V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__upt_0_0,def_lhs_atom331]) ).

fof(def_lhs_atom332,axiom,
    ! [V_ys,V_xs,T_b,T_a] :
      ( lhs_atom332(V_ys,V_xs,T_b,T_a)
    <=> c_Nat_Osize(c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_List_Olist(tc_prod(T_a,T_b))) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_b)),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_333,plain,
    ! [T_a,T_b,V_xs,V_ys] :
      ( lhs_atom332(V_ys,V_xs,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olength__zip_0_0,def_lhs_atom332]) ).

fof(def_lhs_atom333,axiom,
    ! [V_r,T_a__1] :
      ( lhs_atom333(V_r,T_a__1)
    <=> c_List_Olexn(V_r,c_0,T_a__1) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_334,plain,
    ! [T_a__1,V_r] :
      ( lhs_atom333(V_r,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olexn_Osimps__1_0_0,def_lhs_atom333]) ).

fof(def_lhs_atom334,axiom,
    ! [V_r,V_V,V_U,T_a] :
      ( lhs_atom334(V_r,V_V,V_U,T_a)
    <=> c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(V_U,V_V,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_335,plain,
    ! [T_a,V_U,V_V,V_r] :
      ( lhs_atom334(V_r,V_V,V_U,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olexord__Nil__left_1_0,def_lhs_atom334]) ).

fof(def_lhs_atom335,axiom,
    ! [V_x,V_r,T_a] :
      ( lhs_atom335(V_x,V_r,T_a)
    <=> ~ c_in(c_Pair(V_x,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_336,plain,
    ! [T_a,V_r,V_x] :
      ( lhs_atom335(V_x,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olexord__Nil__right_0_0,def_lhs_atom335]) ).

fof(def_lhs_atom336,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom336(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_337,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom336(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist_Odistinct__1_0_0,def_lhs_atom336]) ).

fof(def_lhs_atom337,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom337(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_338,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom337(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist_Odistinct__2_0_0,def_lhs_atom337]) ).

fof(def_lhs_atom338,axiom,
    ! [V_list,V_a,T_a] :
      ( lhs_atom338(V_list,V_a,T_a)
    <=> c_Nat_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_339,plain,
    ! [T_a,V_a,V_list] :
      ( lhs_atom338(V_list,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist_Osize__2_0_0,def_lhs_atom338]) ).

fof(def_lhs_atom339,axiom,
    ! [V_bs,T_a__1] :
      ( lhs_atom339(V_bs,T_a__1)
    <=> c_List_Olist__inter(c_List_Olist_ONil,V_bs,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_340,plain,
    ! [T_a__1,V_bs] :
      ( lhs_atom339(V_bs,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist__inter_Osimps__1_0_0,def_lhs_atom339]) ).

fof(def_lhs_atom340,axiom,
    ! [V_v,V_i,T_a__1] :
      ( lhs_atom340(V_v,V_i,T_a__1)
    <=> c_List_Olist__update(c_List_Olist_ONil,V_i,V_v,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_341,plain,
    ! [T_a__1,V_i,V_v] :
      ( lhs_atom340(V_v,V_i,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist__update_Osimps__1_0_0,def_lhs_atom340]) ).

fof(def_lhs_atom341,axiom,
    ! [V_ys,V_y,V_xs,V_x,T_a] :
      ( lhs_atom341(V_ys,V_y,V_xs,V_x,T_a)
    <=> c_List_Olist__update(c_append(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_342,plain,
    ! [T_a,V_x,V_xs,V_y,V_ys] :
      ( lhs_atom341(V_ys,V_y,V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olist__update__length_0_0,def_lhs_atom341]) ).

fof(def_lhs_atom342,axiom,
    ! [V_r,T_a] :
      ( lhs_atom342(V_r,T_a)
    <=> c_Relation_OImage(c_List_Olistrel(V_r,T_a),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_List_Olist(T_a)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_343,plain,
    ! [T_a,V_r] :
      ( lhs_atom342(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olistrel__Nil_0_0,def_lhs_atom342]) ).

fof(def_lhs_atom343,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom343(V_B,V_A,T_a)
    <=> c_List_Olists(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_List_Olists(V_A,T_a),c_List_Olists(V_B,T_a),tc_List_Olist(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_344,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom343(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olists__Int__eq_0_0,def_lhs_atom343]) ).

fof(def_lhs_atom344,axiom,
    ! [T_a] :
      ( lhs_atom344(T_a)
    <=> c_List_Olists(c_UNIV,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_345,plain,
    ! [T_a] :
      ( lhs_atom344(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olists__UNIV_0_0,def_lhs_atom344]) ).

fof(def_lhs_atom345,axiom,
    ! [T_a__1] :
      ( lhs_atom345(T_a__1)
    <=> c_List_Olistset(c_List_Olist_ONil,T_a__1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a__1)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_346,plain,
    ! [T_a__1] :
      ( lhs_atom345(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olistset_Osimps__1_0_0,def_lhs_atom345]) ).

fof(def_lhs_atom346,axiom,
    ! [V_As,V_A,T_a__1] :
      ( lhs_atom346(V_As,V_A,T_a__1)
    <=> c_List_Olistset(c_List_Olist_OCons(V_A,V_As,tc_set(T_a__1)),T_a__1) = c_List_Oset__Cons(V_A,c_List_Olistset(V_As,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_347,plain,
    ! [T_a__1,V_A,V_As] :
      ( lhs_atom346(V_As,V_A,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Olistset_Osimps__2_0_0,def_lhs_atom346]) ).

fof(def_lhs_atom347,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a] :
      ( lhs_atom347(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_348,plain,
    ! [T_a,V_f1,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom347(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__10_0_0,def_lhs_atom347]) ).

fof(def_lhs_atom348,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a] :
      ( lhs_atom348(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_349,plain,
    ! [T_a,V_f1,V_f10,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom348(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__11_0_0,def_lhs_atom348]) ).

fof(def_lhs_atom349,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom349(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_350,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom349(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__12_0_0,def_lhs_atom349]) ).

fof(def_lhs_atom350,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom350(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_351,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom350(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__13_0_0,def_lhs_atom350]) ).

fof(def_lhs_atom351,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom351(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_352,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom351(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__14_0_0,def_lhs_atom351]) ).

fof(def_lhs_atom352,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom352(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_353,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom352(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__15_0_0,def_lhs_atom352]) ).

fof(def_lhs_atom353,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom353(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_354,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom353(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__16_0_0,def_lhs_atom353]) ).

fof(def_lhs_atom354,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a] :
      ( lhs_atom354(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a)
    <=> c_List_Onibble_Onibble__case(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_355,plain,
    ! [T_a,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom354(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__1_0_0,def_lhs_atom354]) ).

fof(def_lhs_atom355,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom355(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_356,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom355(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__2_0_0,def_lhs_atom355]) ).

fof(def_lhs_atom356,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom356(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_357,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom356(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__3_0_0,def_lhs_atom356]) ).

fof(def_lhs_atom357,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom357(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_358,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom357(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__4_0_0,def_lhs_atom357]) ).

fof(def_lhs_atom358,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom358(V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_359,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom358(V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__5_0_0,def_lhs_atom358]) ).

fof(def_lhs_atom359,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom359(V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_360,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom359(V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__6_0_0,def_lhs_atom359]) ).

fof(def_lhs_atom360,axiom,
    ! [V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom360(V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_361,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f8,V_f9,V_y] :
      ( lhs_atom360(V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__7_0_0,def_lhs_atom360]) ).

fof(def_lhs_atom361,axiom,
    ! [V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom361(V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_362,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f9,V_y] :
      ( lhs_atom361(V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__8_0_0,def_lhs_atom361]) ).

fof(def_lhs_atom362,axiom,
    ! [V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom362(V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_363,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y] :
      ( lhs_atom362(V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Ocases__9_0_0,def_lhs_atom362]) ).

fof(def_lhs_atom363,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a] :
      ( lhs_atom363(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_364,plain,
    ! [T_a,V_f1,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom363(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__10_0_0,def_lhs_atom363]) ).

fof(def_lhs_atom364,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a] :
      ( lhs_atom364(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_365,plain,
    ! [T_a,V_f1,V_f10,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom364(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__11_0_0,def_lhs_atom364]) ).

fof(def_lhs_atom365,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom365(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_366,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom365(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__12_0_0,def_lhs_atom365]) ).

fof(def_lhs_atom366,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom366(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_367,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom366(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__13_0_0,def_lhs_atom366]) ).

fof(def_lhs_atom367,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom367(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_368,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom367(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__14_0_0,def_lhs_atom367]) ).

fof(def_lhs_atom368,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom368(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_369,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom368(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__15_0_0,def_lhs_atom368]) ).

fof(def_lhs_atom369,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom369(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_370,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom369(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__16_0_0,def_lhs_atom369]) ).

fof(def_lhs_atom370,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a] :
      ( lhs_atom370(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a)
    <=> c_List_Onibble_Onibble__rec(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_371,plain,
    ! [T_a,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom370(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__1_0_0,def_lhs_atom370]) ).

fof(def_lhs_atom371,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom371(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_372,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom371(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__2_0_0,def_lhs_atom371]) ).

fof(def_lhs_atom372,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom372(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_373,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom372(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f4,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__3_0_0,def_lhs_atom372]) ).

fof(def_lhs_atom373,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom373(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_374,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f5,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom373(V_y,V_f9,V_f8,V_f7,V_f6,V_f5,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__4_0_0,def_lhs_atom373]) ).

fof(def_lhs_atom374,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom374(V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_375,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f6,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom374(V_y,V_f9,V_f8,V_f7,V_f6,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__5_0_0,def_lhs_atom374]) ).

fof(def_lhs_atom375,axiom,
    ! [V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom375(V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_376,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f7,V_f8,V_f9,V_y] :
      ( lhs_atom375(V_y,V_f9,V_f8,V_f7,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__6_0_0,def_lhs_atom375]) ).

fof(def_lhs_atom376,axiom,
    ! [V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom376(V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_377,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f8,V_f9,V_y] :
      ( lhs_atom376(V_y,V_f9,V_f8,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__7_0_0,def_lhs_atom376]) ).

fof(def_lhs_atom377,axiom,
    ! [V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom377(V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_378,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f9,V_y] :
      ( lhs_atom377(V_y,V_f9,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__8_0_0,def_lhs_atom377]) ).

fof(def_lhs_atom378,axiom,
    ! [V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a] :
      ( lhs_atom378(V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
    <=> c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_379,plain,
    ! [T_a,V_f1,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y] :
      ( lhs_atom378(V_y,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f16,V_f15,V_f14,V_f13,V_f12,V_f11,V_f10,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Orecs__9_0_0,def_lhs_atom378]) ).

fof(def_lhs_atom379,axiom,
    ( lhs_atom379
  <=> c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_380,plain,
    ( lhs_atom379
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__10_0_0,def_lhs_atom379]) ).

fof(def_lhs_atom380,axiom,
    ( lhs_atom380
  <=> c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_381,plain,
    ( lhs_atom380
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__11_0_0,def_lhs_atom380]) ).

fof(def_lhs_atom381,axiom,
    ( lhs_atom381
  <=> c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_382,plain,
    ( lhs_atom381
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__12_0_0,def_lhs_atom381]) ).

fof(def_lhs_atom382,axiom,
    ( lhs_atom382
  <=> c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_383,plain,
    ( lhs_atom382
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__13_0_0,def_lhs_atom382]) ).

fof(def_lhs_atom383,axiom,
    ( lhs_atom383
  <=> c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_384,plain,
    ( lhs_atom383
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__14_0_0,def_lhs_atom383]) ).

fof(def_lhs_atom384,axiom,
    ( lhs_atom384
  <=> c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_385,plain,
    ( lhs_atom384
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__15_0_0,def_lhs_atom384]) ).

fof(def_lhs_atom385,axiom,
    ( lhs_atom385
  <=> c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_386,plain,
    ( lhs_atom385
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__16_0_0,def_lhs_atom385]) ).

fof(def_lhs_atom386,axiom,
    ( lhs_atom386
  <=> c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_387,plain,
    ( lhs_atom386
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__1_0_0,def_lhs_atom386]) ).

fof(def_lhs_atom387,axiom,
    ( lhs_atom387
  <=> c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_388,plain,
    ( lhs_atom387
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__2_0_0,def_lhs_atom387]) ).

fof(def_lhs_atom388,axiom,
    ( lhs_atom388
  <=> c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_389,plain,
    ( lhs_atom388
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__3_0_0,def_lhs_atom388]) ).

fof(def_lhs_atom389,axiom,
    ( lhs_atom389
  <=> c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_390,plain,
    ( lhs_atom389
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__4_0_0,def_lhs_atom389]) ).

fof(def_lhs_atom390,axiom,
    ( lhs_atom390
  <=> c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_391,plain,
    ( lhs_atom390
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__5_0_0,def_lhs_atom390]) ).

fof(def_lhs_atom391,axiom,
    ( lhs_atom391
  <=> c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_392,plain,
    ( lhs_atom391
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__6_0_0,def_lhs_atom391]) ).

fof(def_lhs_atom392,axiom,
    ( lhs_atom392
  <=> c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_393,plain,
    ( lhs_atom392
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__7_0_0,def_lhs_atom392]) ).

fof(def_lhs_atom393,axiom,
    ( lhs_atom393
  <=> c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_394,plain,
    ( lhs_atom393
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__8_0_0,def_lhs_atom393]) ).

fof(def_lhs_atom394,axiom,
    ( lhs_atom394
  <=> c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_395,plain,
    ( lhs_atom394
    | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onibble_Osize__9_0_0,def_lhs_atom394]) ).

fof(def_lhs_atom395,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom395(V_xs,V_x,T_a)
    <=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_396,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom395(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onot__Cons__self_0_0,def_lhs_atom395]) ).

fof(def_lhs_atom396,axiom,
    ! [V_y,V_xs,T_a] :
      ( lhs_atom396(V_y,V_xs,T_a)
    <=> c_List_Onth(c_List_Olist_OCons(V_y,V_xs,T_a),c_0,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_397,plain,
    ! [T_a,V_xs,V_y] :
      ( lhs_atom396(V_y,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onth__Cons__0_0_0,def_lhs_atom396]) ).

fof(def_lhs_atom397,axiom,
    ! [V_xs,V_x,V_n,T_a] :
      ( lhs_atom397(V_xs,V_x,V_n,T_a)
    <=> c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_398,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( lhs_atom397(V_xs,V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onth__Cons__Suc_0_0,def_lhs_atom397]) ).

fof(def_lhs_atom398,axiom,
    ! [V_ys,V_y,V_xs,T_a] :
      ( lhs_atom398(V_ys,V_y,V_xs,T_a)
    <=> c_List_Onth(c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_399,plain,
    ! [T_a,V_xs,V_y,V_ys] :
      ( lhs_atom398(V_ys,V_y,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onth__append__length_0_0,def_lhs_atom398]) ).

fof(def_lhs_atom399,axiom,
    ! [V_ys,V_xs,V_n,T_a] :
      ( lhs_atom399(V_ys,V_xs,V_n,T_a)
    <=> c_List_Onth(c_append(V_xs,V_ys,T_a),c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),T_a) = c_List_Onth(V_ys,V_n,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_400,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( lhs_atom399(V_ys,V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onth__append__length__plus_0_0,def_lhs_atom399]) ).

fof(def_lhs_atom400,axiom,
    ! [T_a__1] :
      ( lhs_atom400(T_a__1)
    <=> c_List_Onull(c_List_Olist_ONil,T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_401,plain,
    ! [T_a__1] :
      ( lhs_atom400(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onull_Osimps__1_0_0,def_lhs_atom400]) ).

fof(def_lhs_atom401,axiom,
    ! [V_xs,V_x,T_a__1] :
      ( lhs_atom401(V_xs,V_x,T_a__1)
    <=> ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_402,plain,
    ! [T_a__1,V_x,V_xs] :
      ( lhs_atom401(V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Onull_Osimps__2_0_0,def_lhs_atom401]) ).

fof(def_lhs_atom402,axiom,
    ! [V_ys,V_xs,V_x,T_a__1] :
      ( lhs_atom402(V_ys,V_xs,V_x,T_a__1)
    <=> c_append(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Olist_OCons(V_x,c_append(V_xs,V_ys,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_403,plain,
    ! [T_a__1,V_x,V_xs,V_ys] :
      ( lhs_atom402(V_ys,V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oop_A_64_Oappend__Cons_0_0,def_lhs_atom402]) ).

fof(def_lhs_atom403,axiom,
    ! [V_x,T_a__1] :
      ( lhs_atom403(V_x,T_a__1)
    <=> ~ c_List_Oop_Amem(V_x,c_List_Olist_ONil,T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_404,plain,
    ! [T_a__1,V_x] :
      ( lhs_atom403(V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oop_Amem_Osimps__1_0_0,def_lhs_atom403]) ).

fof(def_lhs_atom404,axiom,
    ! [V_ys,V_x,T_a] :
      ( lhs_atom404(V_ys,V_x,T_a)
    <=> c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_405,plain,
    ! [T_a,V_x,V_ys] :
      ( lhs_atom404(V_ys,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oop_Amem_Osimps__2_1_0,def_lhs_atom404]) ).

fof(def_lhs_atom405,axiom,
    ! [T_a] :
      ( lhs_atom405(T_a)
    <=> c_List_Oremdups(c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_406,plain,
    ! [T_a] :
      ( lhs_atom405(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oremdups__eq__nil__iff_1_0,def_lhs_atom405]) ).

fof(to_be_clausified_407,plain,
    ! [T_a] :
      ( lhs_atom405(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oremdups__eq__nil__right__iff_1_0,def_lhs_atom405]) ).

fof(def_lhs_atom406,axiom,
    ! [V_x,T_a__1] :
      ( lhs_atom406(V_x,T_a__1)
    <=> c_List_Oremove1(V_x,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_408,plain,
    ! [T_a__1,V_x] :
      ( lhs_atom406(V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oremove1_Osimps__1_0_0,def_lhs_atom406]) ).

fof(def_lhs_atom407,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom407(V_xs,V_x,T_a)
    <=> c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ),
    inference(definition,[],[]) ).

fof(to_be_clausified_409,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom407(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oremove1_Osimps__2_0_0,def_lhs_atom407]) ).

fof(def_lhs_atom408,axiom,
    ! [V_x,T_a__1] :
      ( lhs_atom408(V_x,T_a__1)
    <=> c_List_Oreplicate(c_0,V_x,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_410,plain,
    ! [T_a__1,V_x] :
      ( lhs_atom408(V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oreplicate_Oreplicate__0_0_0,def_lhs_atom408]) ).

fof(def_lhs_atom409,axiom,
    ! [V_x,V_n,T_a__1] :
      ( lhs_atom409(V_x,V_n,T_a__1)
    <=> c_List_Oreplicate(c_Suc(V_n),V_x,T_a__1) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_411,plain,
    ! [T_a__1,V_n,V_x] :
      ( lhs_atom409(V_x,V_n,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oreplicate_Oreplicate__Suc_0_0,def_lhs_atom409]) ).

fof(def_lhs_atom410,axiom,
    ! [V_xs,V_x,T_a__1] :
      ( lhs_atom410(V_xs,V_x,T_a__1)
    <=> c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_append(c_List_Orev(V_xs,T_a__1),c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_412,plain,
    ! [T_a__1,V_x,V_xs] :
      ( lhs_atom410(V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev_Osimps__2_0_0,def_lhs_atom410]) ).

fof(def_lhs_atom411,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom411(V_ys,V_xs,T_a)
    <=> c_List_Orev(c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_413,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom411(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__append_0_0,def_lhs_atom411]) ).

fof(def_lhs_atom412,axiom,
    ! [V_ys,V_y,T_a] :
      ( lhs_atom412(V_ys,V_y,T_a)
    <=> c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_414,plain,
    ! [T_a,V_y,V_ys] :
      ( lhs_atom412(V_ys,V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__eq__Cons__iff_1_0,def_lhs_atom412]) ).

fof(to_be_clausified_415,plain,
    ! [T_a] :
      ( lhs_atom290(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__is__Nil__conv_1_0,def_lhs_atom290]) ).

fof(def_lhs_atom413,axiom,
    ! [V_x,V_n,T_a] :
      ( lhs_atom413(V_x,V_n,T_a)
    <=> c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_416,plain,
    ! [T_a,V_n,V_x] :
      ( lhs_atom413(V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__replicate_0_0,def_lhs_atom413]) ).

fof(def_lhs_atom414,axiom,
    ! [V_y,T_a] :
      ( lhs_atom414(V_y,T_a)
    <=> c_List_Orev(c_List_Orev(V_y,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_417,plain,
    ! [T_a,V_y] :
      ( lhs_atom414(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__rev__ident_0_0,def_lhs_atom414]) ).

fof(def_lhs_atom415,axiom,
    ! [V_x,T_a] :
      ( lhs_atom415(V_x,T_a)
    <=> c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_418,plain,
    ! [T_a,V_x] :
      ( lhs_atom415(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orev__singleton__conv_1_0,def_lhs_atom415]) ).

fof(def_lhs_atom416,axiom,
    ! [T_a] :
      ( lhs_atom416(T_a)
    <=> c_List_Orotate1(c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_419,plain,
    ! [T_a] :
      ( lhs_atom416(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orotate1__is__Nil__conv_1_0,def_lhs_atom416]) ).

fof(def_lhs_atom417,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom417(V_xs,V_n,T_a)
    <=> c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_420,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom417(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orotate__Suc_0_0,def_lhs_atom417]) ).

fof(def_lhs_atom418,axiom,
    ! [V_n,T_a] :
      ( lhs_atom418(V_n,T_a)
    <=> c_List_Orotate(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_421,plain,
    ! [T_a,V_n] :
      ( lhs_atom418(V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Orotate__is__Nil__conv_1_0,def_lhs_atom418]) ).

fof(to_be_clausified_422,plain,
    ! [T_a,V_ys] :
      ( lhs_atom293(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oself__append__conv2_1_0,def_lhs_atom293]) ).

fof(to_be_clausified_423,plain,
    ! [T_a,V_xs] :
      ( lhs_atom294(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oself__append__conv_1_0,def_lhs_atom294]) ).

fof(def_lhs_atom419,axiom,
    ! [V_xs,V_x,T_a__1] :
      ( lhs_atom419(V_xs,V_x,T_a__1)
    <=> c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_insert(V_x,c_List_Oset(V_xs,T_a__1),T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_424,plain,
    ! [T_a__1,V_x,V_xs] :
      ( lhs_atom419(V_xs,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset_Osimps__2_0_0,def_lhs_atom419]) ).

fof(def_lhs_atom420,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom420(V_ys,V_xs,T_a)
    <=> c_List_Oset(c_append(V_xs,V_ys,T_a),T_a) = c_union(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_425,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom420(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__append_0_0,def_lhs_atom420]) ).

fof(def_lhs_atom421,axiom,
    ! [T_a] :
      ( lhs_atom421(T_a)
    <=> c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_426,plain,
    ! [T_a] :
      ( lhs_atom421(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__empty2_1_0,def_lhs_atom421]) ).

fof(to_be_clausified_427,plain,
    ! [T_a] :
      ( lhs_atom421(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__empty_1_0,def_lhs_atom421]) ).

fof(def_lhs_atom422,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom422(V_xs,T_a)
    <=> c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_428,plain,
    ! [T_a,V_xs] :
      ( lhs_atom422(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__remdups_0_0,def_lhs_atom422]) ).

fof(def_lhs_atom423,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom423(V_xs,T_a)
    <=> c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_429,plain,
    ! [T_a,V_xs] :
      ( lhs_atom423(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__rev_0_0,def_lhs_atom423]) ).

fof(def_lhs_atom424,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom424(V_xs,T_a)
    <=> c_List_Oset(c_List_Orotate1(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_430,plain,
    ! [T_a,V_xs] :
      ( lhs_atom424(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__rotate1_0_0,def_lhs_atom424]) ).

fof(def_lhs_atom425,axiom,
    ! [V_xs,V_n,T_a] :
      ( lhs_atom425(V_xs,V_n,T_a)
    <=> c_List_Oset(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_431,plain,
    ! [T_a,V_n,V_xs] :
      ( lhs_atom425(V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oset__rotate_0_0,def_lhs_atom425]) ).

fof(def_lhs_atom426,axiom,
    ! [V_x,T_a] :
      ( lhs_atom426(V_x,T_a)
    <=> c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_432,plain,
    ! [T_a,V_x] :
      ( lhs_atom426(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Osingleton__rev__conv_1_0,def_lhs_atom426]) ).

fof(def_lhs_atom427,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom427(V_xs,T_a)
    <=> c_List_Osublist(V_xs,c_emptyset,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_433,plain,
    ! [T_a,V_xs] :
      ( lhs_atom427(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Osublist__empty_0_0,def_lhs_atom427]) ).

fof(def_lhs_atom428,axiom,
    ! [V_A,T_a] :
      ( lhs_atom428(V_A,T_a)
    <=> c_List_Osublist(c_List_Olist_ONil,V_A,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_434,plain,
    ! [T_a,V_A] :
      ( lhs_atom428(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Osublist__nil_0_0,def_lhs_atom428]) ).

fof(def_lhs_atom429,axiom,
    ! [V_n,V_l,T_a] :
      ( lhs_atom429(V_n,V_l,T_a)
    <=> c_List_Osublist(V_l,c_SetInterval_OlessThan(V_n,tc_nat),T_a) = c_List_Otake(V_n,V_l,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_435,plain,
    ! [T_a,V_l,V_n] :
      ( lhs_atom429(V_n,V_l,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Osublist__upt__eq__take_0_0,def_lhs_atom429]) ).

fof(def_lhs_atom430,axiom,
    ! [V_xs,V_x,V_n,T_a] :
      ( lhs_atom430(V_xs,V_x,V_n,T_a)
    <=> c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_436,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( lhs_atom430(V_xs,V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__Suc__Cons_0_0,def_lhs_atom430]) ).

fof(def_lhs_atom431,axiom,
    ! [V_ys,V_xs,V_n,T_a] :
      ( lhs_atom431(V_ys,V_xs,V_n,T_a)
    <=> c_List_Otake(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_437,plain,
    ! [T_a,V_n,V_xs,V_ys] :
      ( lhs_atom431(V_ys,V_xs,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__append_0_0,def_lhs_atom431]) ).

fof(def_lhs_atom432,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom432(V_xs,T_a)
    <=> c_List_Otake(c_0,V_xs,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_438,plain,
    ! [T_a,V_xs] :
      ( lhs_atom432(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__eq__Nil_1_0,def_lhs_atom432]) ).

fof(def_lhs_atom433,axiom,
    ! [V_n,T_a] :
      ( lhs_atom433(V_n,T_a)
    <=> c_List_Otake(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_439,plain,
    ! [T_a,V_n] :
      ( lhs_atom433(V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__eq__Nil_2_0,def_lhs_atom433]) ).

fof(def_lhs_atom434,axiom,
    ! [V_x,V_k,V_i,T_a] :
      ( lhs_atom434(V_x,V_k,V_i,T_a)
    <=> c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_k,tc_nat),V_x,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_440,plain,
    ! [T_a,V_i,V_k,V_x] :
      ( lhs_atom434(V_x,V_k,V_i,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__replicate_0_0,def_lhs_atom434]) ).

fof(def_lhs_atom435,axiom,
    ! [V_xs,V_n,V_m,T_a] :
      ( lhs_atom435(V_xs,V_n,V_m,T_a)
    <=> c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Omin(V_n,V_m,tc_nat),V_xs,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_441,plain,
    ! [T_a,V_m,V_n,V_xs] :
      ( lhs_atom435(V_xs,V_n,V_m,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otake__take_0_0,def_lhs_atom435]) ).

fof(def_lhs_atom436,axiom,
    ! [T_a__1] :
      ( lhs_atom436(T_a__1)
    <=> c_List_Otl(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_442,plain,
    ! [T_a__1] :
      ( lhs_atom436(T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otl_Osimps__1_0_0,def_lhs_atom436]) ).

fof(def_lhs_atom437,axiom,
    ! [V_y,V_x,T_a__1] :
      ( lhs_atom437(V_y,V_x,T_a__1)
    <=> c_List_Otl(c_List_Olist_OCons(V_x,V_y,T_a__1),T_a__1) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_443,plain,
    ! [T_a__1,V_x,V_y] :
      ( lhs_atom437(V_y,V_x,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Otl_Osimps__2_0_0,def_lhs_atom437]) ).

fof(def_lhs_atom438,axiom,
    ! [V_i] :
      ( lhs_atom438(V_i)
    <=> c_List_Oupt(V_i,c_0) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_444,plain,
    ! [V_i] :
      ( lhs_atom438(V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Oupt__eq__Nil__conv_1_0,def_lhs_atom438]) ).

fof(def_lhs_atom439,axiom,
    ! [V_x,V_t,T_a] :
      ( lhs_atom439(V_x,V_t,T_a)
    <=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
    inference(definition,[],[]) ).

fof(to_be_clausified_445,plain,
    ! [T_a,V_t,V_x] :
      ( lhs_atom439(V_x,V_t,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0_0,def_lhs_atom439]) ).

fof(def_lhs_atom440,axiom,
    ! [V_xs,T_b__1,T_a__1] :
      ( lhs_atom440(V_xs,T_b__1,T_a__1)
    <=> c_List_Ozip(V_xs,c_List_Olist_ONil,T_a__1,T_b__1) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_446,plain,
    ! [T_a__1,T_b__1,V_xs] :
      ( lhs_atom440(V_xs,T_b__1,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ozip_Osimps__1_0_0,def_lhs_atom440]) ).

fof(def_lhs_atom441,axiom,
    ! [V_ys,V_y,V_xs,V_x,T_b,T_a] :
      ( lhs_atom441(V_ys,V_y,V_xs,V_x,T_b,T_a)
    <=> c_List_Ozip(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) = c_List_Olist_OCons(c_Pair(V_x,V_y,T_a,T_b),c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_prod(T_a,T_b)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_447,plain,
    ! [T_a,T_b,V_x,V_xs,V_y,V_ys] :
      ( lhs_atom441(V_ys,V_y,V_xs,V_x,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ozip__Cons__Cons_0_0,def_lhs_atom441]) ).

fof(def_lhs_atom442,axiom,
    ! [V_ys,T_b,T_a] :
      ( lhs_atom442(V_ys,T_b,T_a)
    <=> c_List_Ozip(c_List_Olist_ONil,V_ys,T_a,T_b) = c_List_Olist_ONil ),
    inference(definition,[],[]) ).

fof(to_be_clausified_448,plain,
    ! [T_a,T_b,V_ys] :
      ( lhs_atom442(V_ys,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ozip__Nil_0_0,def_lhs_atom442]) ).

fof(def_lhs_atom443,axiom,
    ! [V_y,V_x,V_j,V_i,T_b,T_a] :
      ( lhs_atom443(V_y,V_x,V_j,V_i,T_b,T_a)
    <=> c_List_Ozip(c_List_Oreplicate(V_i,V_x,T_a),c_List_Oreplicate(V_j,V_y,T_b),T_a,T_b) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_j,tc_nat),c_Pair(V_x,V_y,T_a,T_b),tc_prod(T_a,T_b)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_449,plain,
    ! [T_a,T_b,V_i,V_j,V_x,V_y] :
      ( lhs_atom443(V_y,V_x,V_j,V_i,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_List_Ozip__replicate_0_0,def_lhs_atom443]) ).

fof(def_lhs_atom444,axiom,
    ! [V_n,V_m] :
      ( lhs_atom444(V_n,V_m)
    <=> c_IntDef_Oint(c_plus(V_m,V_n,tc_nat)) = c_plus(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_450,plain,
    ! [V_m,V_n] :
      ( lhs_atom444(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0_0,def_lhs_atom444]) ).

fof(def_lhs_atom445,axiom,
    ! [V_w] :
      ( lhs_atom445(V_w)
    <=> c_IntDef_Onat(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint)) = c_Numeral_Onumber__of(V_w,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_451,plain,
    ! [V_w] :
      ( lhs_atom445(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatBin_Onat__number__of_0_0,def_lhs_atom445]) ).

fof(def_lhs_atom446,axiom,
    ( lhs_atom446
  <=> c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_452,plain,
    ( lhs_atom446
    | $false ),
    inference(fold_definition,[status(thm)],[cls_NatBin_Onat__numeral__0__eq__0_0_0,def_lhs_atom446]) ).

fof(def_lhs_atom447,axiom,
    ( lhs_atom447
  <=> c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_453,plain,
    ( lhs_atom447
    | $false ),
    inference(fold_definition,[status(thm)],[cls_NatBin_Onat__numeral__1__eq__1_0_0,def_lhs_atom447]) ).

fof(def_lhs_atom448,axiom,
    ! [V_v_H] :
      ( lhs_atom448(V_v_H)
    <=> c_div(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_454,plain,
    ! [V_v_H] :
      ( lhs_atom448(V_v_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatBin_Oone__div__nat__number__of_0_0,def_lhs_atom448]) ).

fof(def_lhs_atom449,axiom,
    ! [V_v,V_m] :
      ( lhs_atom449(V_v,V_m)
    <=> c_div(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_455,plain,
    ! [V_m,V_v] :
      ( lhs_atom449(V_v,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0_0,def_lhs_atom449]) ).

fof(def_lhs_atom450,axiom,
    ! [V_v,V_m] :
      ( lhs_atom450(V_v,V_m)
    <=> c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_456,plain,
    ! [V_m,V_v] :
      ( lhs_atom450(V_v,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0_0,def_lhs_atom450]) ).

fof(def_lhs_atom451,axiom,
    ! [V_n] :
      ( lhs_atom451(V_n)
    <=> c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat) = c_Suc(c_Suc(V_n)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_457,plain,
    ! [V_n] :
      ( lhs_atom451(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Oadd__2__eq__Suc_0_0,def_lhs_atom451]) ).

fof(def_lhs_atom452,axiom,
    ! [V_n] :
      ( lhs_atom452(V_n)
    <=> c_plus(V_n,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(V_n)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_458,plain,
    ! [V_n] :
      ( lhs_atom452(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Oadd__2__eq__Suc_H_0_0,def_lhs_atom452]) ).

fof(def_lhs_atom453,axiom,
    ! [V_y] :
      ( lhs_atom453(V_y)
    <=> c_div(c_plus(V_y,V_y,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_459,plain,
    ! [V_y] :
      ( lhs_atom453(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Oadd__self__div__2_0_0,def_lhs_atom453]) ).

fof(def_lhs_atom454,axiom,
    ! [V_m] :
      ( lhs_atom454(V_m)
    <=> c_div(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_460,plain,
    ! [V_m] :
      ( lhs_atom454(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Odiv2__Suc__Suc_0_0,def_lhs_atom454]) ).

fof(def_lhs_atom455,axiom,
    ! [V_n,V_m] :
      ( lhs_atom455(V_n,V_m)
    <=> c_div(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_div(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_461,plain,
    ! [V_m,V_n] :
      ( lhs_atom455(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Odiv__Suc__eq__div__add3_0_0,def_lhs_atom455]) ).

fof(def_lhs_atom456,axiom,
    ! [V_m] :
      ( lhs_atom456(V_m)
    <=> c_Divides_Oop_Amod(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_462,plain,
    ! [V_m] :
      ( lhs_atom456(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Omod2__Suc__Suc_0_0,def_lhs_atom456]) ).

fof(def_lhs_atom457,axiom,
    ! [V_n,V_m] :
      ( lhs_atom457(V_n,V_m)
    <=> c_Divides_Oop_Amod(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_Divides_Oop_Amod(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_463,plain,
    ! [V_m,V_n] :
      ( lhs_atom457(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_NatSimprocs_Omod__Suc__eq__mod__add3_0_0,def_lhs_atom457]) ).

fof(def_lhs_atom458,axiom,
    ( lhs_atom458
  <=> c_1 = c_Suc(c_0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_464,plain,
    ( lhs_atom458
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_OOne__nat__def_0_0,def_lhs_atom458]) ).

fof(def_lhs_atom459,axiom,
    ! [V_n,V_m,V_k] :
      ( lhs_atom459(V_n,V_m,V_k)
    <=> c_minus(c_minus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_minus(c_minus(V_m,V_n,tc_nat),V_k,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_465,plain,
    ! [V_k,V_m,V_n] :
      ( lhs_atom459(V_n,V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_OSuc__diff__diff_0_0,def_lhs_atom459]) ).

fof(def_lhs_atom460,axiom,
    ! [V_m] :
      ( lhs_atom460(V_m)
    <=> c_Suc(V_m) != c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_466,plain,
    ! [V_m] :
      ( lhs_atom460(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_OSuc__not__Zero_0_0,def_lhs_atom460]) ).

fof(def_lhs_atom461,axiom,
    ! [V_m] :
      ( lhs_atom461(V_m)
    <=> c_0 != c_Suc(V_m) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_467,plain,
    ! [V_m] :
      ( lhs_atom461(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_OZero__not__Suc_0_0,def_lhs_atom461]) ).

fof(def_lhs_atom462,axiom,
    ! [V_y] :
      ( lhs_atom462(V_y)
    <=> c_plus(V_y,c_0,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_468,plain,
    ! [V_y] :
      ( lhs_atom462(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oadd__0__right_0_0,def_lhs_atom462]) ).

fof(def_lhs_atom463,axiom,
    ! [V_n,V_m] :
      ( lhs_atom463(V_n,V_m)
    <=> c_plus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_469,plain,
    ! [V_m,V_n] :
      ( lhs_atom463(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oadd__Suc__right_0_0,def_lhs_atom463]) ).

fof(def_lhs_atom464,axiom,
    ( lhs_atom464
  <=> c_plus(c_0,c_0,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_470,plain,
    ( lhs_atom464
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oadd__is__0_2_0,def_lhs_atom464]) ).

fof(def_lhs_atom465,axiom,
    ! [V_n] :
      ( lhs_atom465(V_n)
    <=> c_minus(c_0,V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_471,plain,
    ! [V_n] :
      ( lhs_atom465(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Odiff__0__eq__0_0_0,def_lhs_atom465]) ).

fof(def_lhs_atom466,axiom,
    ! [V_n,V_m] :
      ( lhs_atom466(V_n,V_m)
    <=> c_minus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_minus(V_m,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_472,plain,
    ! [V_m,V_n] :
      ( lhs_atom466(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Odiff__Suc__Suc_0_0,def_lhs_atom466]) ).

fof(def_lhs_atom467,axiom,
    ! [V_k,V_j,V_i] :
      ( lhs_atom467(V_k,V_j,V_i)
    <=> c_minus(c_minus(V_i,V_j,tc_nat),V_k,tc_nat) = c_minus(V_i,c_plus(V_j,V_k,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_473,plain,
    ! [V_i,V_j,V_k] :
      ( lhs_atom467(V_k,V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Odiff__diff__left_0_0,def_lhs_atom467]) ).

fof(def_lhs_atom468,axiom,
    ! [V_n,V_m] :
      ( lhs_atom468(V_n,V_m)
    <=> c_lessequals(c_minus(V_m,V_n,tc_nat),V_m,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_474,plain,
    ! [V_m,V_n] :
      ( lhs_atom468(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Odiff__le__self_0_0,def_lhs_atom468]) ).

fof(def_lhs_atom469,axiom,
    ! [V_m] :
      ( lhs_atom469(V_m)
    <=> c_minus(V_m,V_m,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_475,plain,
    ! [V_m] :
      ( lhs_atom469(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Odiff__self__eq__0_0_0,def_lhs_atom469]) ).

fof(def_lhs_atom470,axiom,
    ( lhs_atom470
  <=> c_lessequals(c_0,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_476,plain,
    ( lhs_atom470
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Ole__0__eq_1_0,def_lhs_atom470]) ).

fof(def_lhs_atom471,axiom,
    ( lhs_atom471
  <=> c_less(c_0,c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_477,plain,
    ( lhs_atom471
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oless__Suc0_1_0,def_lhs_atom471]) ).

fof(def_lhs_atom472,axiom,
    ( lhs_atom472
  <=> c_less(c_0,c_1,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_478,plain,
    ( lhs_atom472
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oless__one_1_0,def_lhs_atom472]) ).

fof(def_lhs_atom473,axiom,
    ! [V_y] :
      ( lhs_atom473(V_y)
    <=> c_Orderings_Omax(c_0,V_y,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_479,plain,
    ! [V_y] :
      ( lhs_atom473(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omax__0L_0_0,def_lhs_atom473]) ).

fof(def_lhs_atom474,axiom,
    ! [V_y] :
      ( lhs_atom474(V_y)
    <=> c_Orderings_Omax(V_y,c_0,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_480,plain,
    ! [V_y] :
      ( lhs_atom474(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omax__0R_0_0,def_lhs_atom474]) ).

fof(def_lhs_atom475,axiom,
    ! [V_n,V_m] :
      ( lhs_atom475(V_n,V_m)
    <=> c_Orderings_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omax(V_m,V_n,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_481,plain,
    ! [V_m,V_n] :
      ( lhs_atom475(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omax__Suc__Suc_0_0,def_lhs_atom475]) ).

fof(def_lhs_atom476,axiom,
    ! [V_n] :
      ( lhs_atom476(V_n)
    <=> c_Orderings_Omin(c_0,V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_482,plain,
    ! [V_n] :
      ( lhs_atom476(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omin__0L_0_0,def_lhs_atom476]) ).

fof(def_lhs_atom477,axiom,
    ! [V_n] :
      ( lhs_atom477(V_n)
    <=> c_Orderings_Omin(V_n,c_0,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_483,plain,
    ! [V_n] :
      ( lhs_atom477(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omin__0R_0_0,def_lhs_atom477]) ).

fof(def_lhs_atom478,axiom,
    ! [V_n,V_m] :
      ( lhs_atom478(V_n,V_m)
    <=> c_Orderings_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omin(V_m,V_n,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_484,plain,
    ! [V_m,V_n] :
      ( lhs_atom478(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omin__Suc__Suc_0_0,def_lhs_atom478]) ).

fof(def_lhs_atom479,axiom,
    ! [V_m] :
      ( lhs_atom479(V_m)
    <=> c_times(V_m,c_0,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_485,plain,
    ! [V_m] :
      ( lhs_atom479(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omult__0__right_0_0,def_lhs_atom479]) ).

fof(def_lhs_atom480,axiom,
    ! [V_n,V_m] :
      ( lhs_atom480(V_n,V_m)
    <=> c_times(V_m,c_Suc(V_n),tc_nat) = c_plus(V_m,c_times(V_m,V_n,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_486,plain,
    ! [V_m,V_n] :
      ( lhs_atom480(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omult__Suc__right_0_0,def_lhs_atom480]) ).

fof(def_lhs_atom481,axiom,
    ! [V_n,V_m] :
      ( lhs_atom481(V_n,V_m)
    <=> c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_487,plain,
    ! [V_m,V_n] :
      ( lhs_atom481(V_n,V_m)
      | c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat) ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omult__cancel1_1_0,def_lhs_atom481]) ).

fof(def_lhs_atom482,axiom,
    ! [V_n,V_m] :
      ( lhs_atom482(V_n,V_m)
    <=> c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_488,plain,
    ! [V_m,V_n] :
      ( lhs_atom482(V_n,V_m)
      | c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat) ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omult__cancel2_1_0,def_lhs_atom482]) ).

fof(def_lhs_atom483,axiom,
    ( lhs_atom483
  <=> c_times(c_1,c_1,tc_nat) = c_Suc(c_0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_489,plain,
    ( lhs_atom483
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Omult__eq__1__iff_2_0,def_lhs_atom483]) ).

fof(def_lhs_atom484,axiom,
    ! [V_j,V_i] :
      ( lhs_atom484(V_j,V_i)
    <=> ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_490,plain,
    ! [V_i,V_j] :
      ( lhs_atom484(V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Onot__add__less1_0_0,def_lhs_atom484]) ).

fof(def_lhs_atom485,axiom,
    ! [V_j,V_i] :
      ( lhs_atom485(V_j,V_i)
    <=> ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_491,plain,
    ! [V_i,V_j] :
      ( lhs_atom485(V_j,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Onot__add__less2_0_0,def_lhs_atom485]) ).

fof(def_lhs_atom486,axiom,
    ( lhs_atom486
  <=> ~ c_less(c_0,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_492,plain,
    ( lhs_atom486
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Onot__gr0_1_0,def_lhs_atom486]) ).

fof(def_lhs_atom487,axiom,
    ! [V_n] :
      ( lhs_atom487(V_n)
    <=> ~ c_less(V_n,c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_493,plain,
    ! [V_n] :
      ( lhs_atom487(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Onot__less0_0_0,def_lhs_atom487]) ).

fof(def_lhs_atom488,axiom,
    ( lhs_atom488
  <=> c_Suc(c_0) = c_times(c_1,c_1,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_494,plain,
    ( lhs_atom488
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oone__eq__mult__iff_2_0,def_lhs_atom488]) ).

fof(def_lhs_atom489,axiom,
    ! [V_n] :
      ( lhs_atom489(V_n)
    <=> c_times(c_0,V_n,tc_nat) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_495,plain,
    ! [V_n] :
      ( lhs_atom489(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oop_A_K_Omult__0_0_0,def_lhs_atom489]) ).

fof(def_lhs_atom490,axiom,
    ! [V_n,V_m] :
      ( lhs_atom490(V_n,V_m)
    <=> c_times(c_Suc(V_m),V_n,tc_nat) = c_plus(V_n,c_times(V_m,V_n,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_496,plain,
    ! [V_m,V_n] :
      ( lhs_atom490(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oop_A_K_Omult__Suc_0_0,def_lhs_atom490]) ).

fof(def_lhs_atom491,axiom,
    ! [V_y] :
      ( lhs_atom491(V_y)
    <=> c_plus(c_0,V_y,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_497,plain,
    ! [V_y] :
      ( lhs_atom491(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oop_A_L_Oadd__0_0_0,def_lhs_atom491]) ).

fof(def_lhs_atom492,axiom,
    ! [V_n,V_m] :
      ( lhs_atom492(V_n,V_m)
    <=> c_plus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_498,plain,
    ! [V_m,V_n] :
      ( lhs_atom492(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oop_A_L_Oadd__Suc_0_0,def_lhs_atom492]) ).

fof(def_lhs_atom493,axiom,
    ! [V_y] :
      ( lhs_atom493(V_y)
    <=> c_minus(V_y,c_0,tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_499,plain,
    ! [V_y] :
      ( lhs_atom493(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nat_Oop_A_N_Odiff__0_0_0,def_lhs_atom493]) ).

fof(def_lhs_atom494,axiom,
    ( lhs_atom494
  <=> c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin ),
    inference(definition,[],[]) ).

fof(to_be_clausified_500,plain,
    ( lhs_atom494
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_OMin__1__eq_0_0,def_lhs_atom494]) ).

fof(def_lhs_atom495,axiom,
    ( lhs_atom495
  <=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls ),
    inference(definition,[],[]) ).

fof(to_be_clausified_501,plain,
    ( lhs_atom495
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_OPls__0__eq_0_0,def_lhs_atom495]) ).

fof(def_lhs_atom496,axiom,
    ! [V_y,V_w,V_v] :
      ( lhs_atom496(V_y,V_w,V_v)
    <=> c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),c_Numeral_OBit(V_w,V_y)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),V_y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_502,plain,
    ! [V_v,V_w,V_y] :
      ( lhs_atom496(V_y,V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__BIT__0_0_0,def_lhs_atom496]) ).

fof(def_lhs_atom497,axiom,
    ! [V_w,V_v] :
      ( lhs_atom497(V_w,V_v)
    <=> c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_503,plain,
    ! [V_v,V_w] :
      ( lhs_atom497(V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__BIT__10_0_0,def_lhs_atom497]) ).

fof(def_lhs_atom498,axiom,
    ! [V_w,V_v] :
      ( lhs_atom498(V_w,V_v)
    <=> c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,c_Numeral_Obin__succ(V_w)),c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_504,plain,
    ! [V_v,V_w] :
      ( lhs_atom498(V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__BIT__11_0_0,def_lhs_atom498]) ).

fof(def_lhs_atom499,axiom,
    ! [V_w] :
      ( lhs_atom499(V_w)
    <=> c_Numeral_Obin__add(c_Numeral_OMin,V_w) = c_Numeral_Obin__pred(V_w) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_505,plain,
    ! [V_w] :
      ( lhs_atom499(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__Min_0_0,def_lhs_atom499]) ).

fof(def_lhs_atom500,axiom,
    ! [V_w] :
      ( lhs_atom500(V_w)
    <=> c_Numeral_Obin__add(V_w,c_Numeral_OMin) = c_Numeral_Obin__pred(V_w) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_506,plain,
    ! [V_w] :
      ( lhs_atom500(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__Min__right_0_0,def_lhs_atom500]) ).

fof(def_lhs_atom501,axiom,
    ! [V_y] :
      ( lhs_atom501(V_y)
    <=> c_Numeral_Obin__add(c_Numeral_OPls,V_y) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_507,plain,
    ! [V_y] :
      ( lhs_atom501(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__Pls_0_0,def_lhs_atom501]) ).

fof(def_lhs_atom502,axiom,
    ! [V_y] :
      ( lhs_atom502(V_y)
    <=> c_Numeral_Obin__add(V_y,c_Numeral_OPls) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_508,plain,
    ! [V_y] :
      ( lhs_atom502(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__add__Pls__right_0_0,def_lhs_atom502]) ).

fof(def_lhs_atom503,axiom,
    ! [V_w] :
      ( lhs_atom503(V_w)
    <=> c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(V_w),c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_509,plain,
    ! [V_w] :
      ( lhs_atom503(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__minus__0_0_0,def_lhs_atom503]) ).

fof(def_lhs_atom504,axiom,
    ! [V_w] :
      ( lhs_atom504(V_w)
    <=> c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(V_w)),c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_510,plain,
    ! [V_w] :
      ( lhs_atom504(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__minus__1_0_0,def_lhs_atom504]) ).

fof(def_lhs_atom505,axiom,
    ( lhs_atom505
  <=> c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_511,plain,
    ( lhs_atom505
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__minus__Min_0_0,def_lhs_atom505]) ).

fof(def_lhs_atom506,axiom,
    ( lhs_atom506
  <=> c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls ),
    inference(definition,[],[]) ).

fof(to_be_clausified_512,plain,
    ( lhs_atom506
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__minus__Pls_0_0,def_lhs_atom506]) ).

fof(def_lhs_atom507,axiom,
    ! [V_w,V_v] :
      ( lhs_atom507(V_w,V_v)
    <=> c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),V_w) = c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_513,plain,
    ! [V_v,V_w] :
      ( lhs_atom507(V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__mult__0_0_0,def_lhs_atom507]) ).

fof(def_lhs_atom508,axiom,
    ! [V_w,V_v] :
      ( lhs_atom508(V_w,V_v)
    <=> c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),V_w) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0),V_w) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_514,plain,
    ! [V_v,V_w] :
      ( lhs_atom508(V_w,V_v)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__mult__1_0_0,def_lhs_atom508]) ).

fof(def_lhs_atom509,axiom,
    ! [V_w] :
      ( lhs_atom509(V_w)
    <=> c_Numeral_Obin__mult(c_Numeral_OMin,V_w) = c_Numeral_Obin__minus(V_w) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_515,plain,
    ! [V_w] :
      ( lhs_atom509(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__mult__Min_0_0,def_lhs_atom509]) ).

fof(def_lhs_atom510,axiom,
    ! [V_w] :
      ( lhs_atom510(V_w)
    <=> c_Numeral_Obin__mult(c_Numeral_OPls,V_w) = c_Numeral_OPls ),
    inference(definition,[],[]) ).

fof(to_be_clausified_516,plain,
    ! [V_w] :
      ( lhs_atom510(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__mult__Pls_0_0,def_lhs_atom510]) ).

fof(def_lhs_atom511,axiom,
    ! [V_w] :
      ( lhs_atom511(V_w)
    <=> c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(V_w),c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_517,plain,
    ! [V_w] :
      ( lhs_atom511(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__pred__0_0_0,def_lhs_atom511]) ).

fof(def_lhs_atom512,axiom,
    ! [V_w] :
      ( lhs_atom512(V_w)
    <=> c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_518,plain,
    ! [V_w] :
      ( lhs_atom512(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__pred__1_0_0,def_lhs_atom512]) ).

fof(def_lhs_atom513,axiom,
    ( lhs_atom513
  <=> c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_519,plain,
    ( lhs_atom513
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__pred__Min_0_0,def_lhs_atom513]) ).

fof(def_lhs_atom514,axiom,
    ( lhs_atom514
  <=> c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin ),
    inference(definition,[],[]) ).

fof(to_be_clausified_520,plain,
    ( lhs_atom514
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__pred__Pls_0_0,def_lhs_atom514]) ).

fof(def_lhs_atom515,axiom,
    ! [V_w] :
      ( lhs_atom515(V_w)
    <=> c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_521,plain,
    ! [V_w] :
      ( lhs_atom515(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__succ__0_0_0,def_lhs_atom515]) ).

fof(def_lhs_atom516,axiom,
    ! [V_w] :
      ( lhs_atom516(V_w)
    <=> c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(V_w),c_Numeral_Obit_OB0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_522,plain,
    ! [V_w] :
      ( lhs_atom516(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__succ__1_0_0,def_lhs_atom516]) ).

fof(def_lhs_atom517,axiom,
    ( lhs_atom517
  <=> c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls ),
    inference(definition,[],[]) ).

fof(to_be_clausified_523,plain,
    ( lhs_atom517
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__succ__Min_0_0,def_lhs_atom517]) ).

fof(def_lhs_atom518,axiom,
    ( lhs_atom518
  <=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_524,plain,
    ( lhs_atom518
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obin__succ__Pls_0_0,def_lhs_atom518]) ).

fof(def_lhs_atom519,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom519(V_y,V_f2,T_a)
    <=> c_Numeral_Obit_Obit__case(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_525,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom519(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Ocases__1_0_0,def_lhs_atom519]) ).

fof(def_lhs_atom520,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom520(V_y,V_f1,T_a)
    <=> c_Numeral_Obit_Obit__case(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_526,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom520(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Ocases__2_0_0,def_lhs_atom520]) ).

fof(def_lhs_atom521,axiom,
    ( lhs_atom521
  <=> c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_527,plain,
    ( lhs_atom521
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Odistinct__1_0_0,def_lhs_atom521]) ).

fof(def_lhs_atom522,axiom,
    ( lhs_atom522
  <=> c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_528,plain,
    ( lhs_atom522
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Odistinct__2_0_0,def_lhs_atom522]) ).

fof(def_lhs_atom523,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom523(V_y,V_f2,T_a)
    <=> c_Numeral_Obit_Obit__rec(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_529,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom523(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Orecs__1_0_0,def_lhs_atom523]) ).

fof(def_lhs_atom524,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom524(V_y,V_f1,T_a)
    <=> c_Numeral_Obit_Obit__rec(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_530,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom524(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Orecs__2_0_0,def_lhs_atom524]) ).

fof(def_lhs_atom525,axiom,
    ( lhs_atom525
  <=> c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_531,plain,
    ( lhs_atom525
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Osize__1_0_0,def_lhs_atom525]) ).

fof(def_lhs_atom526,axiom,
    ( lhs_atom526
  <=> c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_532,plain,
    ( lhs_atom526
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Numeral_Obit_Osize__2_0_0,def_lhs_atom526]) ).

fof(def_lhs_atom527,axiom,
    ( lhs_atom527
  <=> c_Parity_Oeven(c_0,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_533,plain,
    ( lhs_atom527
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Parity_Oeven__nat__zero_0_0,def_lhs_atom527]) ).

fof(def_lhs_atom528,axiom,
    ( lhs_atom528
  <=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_534,plain,
    ( lhs_atom528
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Parity_Oeven__zero_0_0,def_lhs_atom528]) ).

fof(def_lhs_atom529,axiom,
    ( lhs_atom529
  <=> ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_535,plain,
    ( lhs_atom529
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Parity_Oodd__one_0_0,def_lhs_atom529]) ).

fof(def_lhs_atom530,axiom,
    ! [V_x] :
      ( lhs_atom530(V_x)
    <=> c_less(c_0,c_Nat_Opower(V_x,c_0,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_536,plain,
    ! [V_x] :
      ( lhs_atom530(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Power_Onat__zero__less__power__iff_2_0,def_lhs_atom530]) ).

fof(def_lhs_atom531,axiom,
    ! [V_p] :
      ( lhs_atom531(V_p)
    <=> c_Nat_Opower(V_p,c_0,tc_nat) = c_1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_537,plain,
    ! [V_p] :
      ( lhs_atom531(V_p)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Power_Opower_Osimps__1_0_0,def_lhs_atom531]) ).

fof(def_lhs_atom532,axiom,
    ! [V_p,V_n] :
      ( lhs_atom532(V_p,V_n)
    <=> c_Nat_Opower(V_p,c_Suc(V_n),tc_nat) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_nat),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_538,plain,
    ! [V_n,V_p] :
      ( lhs_atom532(V_p,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Power_Opower_Osimps__2_0_0,def_lhs_atom532]) ).

fof(def_lhs_atom533,axiom,
    ! [V_y,V_b,T_b,T_a] :
      ( lhs_atom533(V_y,V_b,T_b,T_a)
    <=> c_fst(c_Pair(V_y,V_b,T_a,T_b),T_a,T_b) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_539,plain,
    ! [T_a,T_b,V_b,V_y] :
      ( lhs_atom533(V_y,V_b,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Product__Type_Ofst__conv_0_0,def_lhs_atom533]) ).

fof(def_lhs_atom534,axiom,
    ! [V_y,T_b,T_a] :
      ( lhs_atom534(V_y,T_b,T_a)
    <=> c_Pair(c_fst(V_y,T_a,T_b),c_snd(V_y,T_a,T_b),T_a,T_b) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_540,plain,
    ! [T_a,T_b,V_y] :
      ( lhs_atom534(V_y,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Product__Type_Opair__collapse_0_0,def_lhs_atom534]) ).

fof(def_lhs_atom535,axiom,
    ! [V_y,V_a,T_b,T_a] :
      ( lhs_atom535(V_y,V_a,T_b,T_a)
    <=> c_snd(c_Pair(V_a,V_y,T_b,T_a),T_b,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_541,plain,
    ! [T_a,T_b,V_a,V_y] :
      ( lhs_atom535(V_y,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Product__Type_Osnd__conv_0_0,def_lhs_atom535]) ).

fof(def_lhs_atom536,axiom,
    ! [V_z,T_b,T_a] :
      ( lhs_atom536(V_z,T_b,T_a)
    <=> c_Pair(c_Main_Osurj__pair__1(V_z,T_a,T_b),c_Main_Osurj__pair__2(V_z,T_a,T_b),T_a,T_b) = V_z ),
    inference(definition,[],[]) ).

fof(to_be_clausified_542,plain,
    ! [T_a,T_b,V_z] :
      ( lhs_atom536(V_z,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Product__Type_Osurj__pair_0_0,def_lhs_atom536]) ).

fof(def_lhs_atom537,axiom,
    ! [T_a] :
      ( lhs_atom537(T_a)
    <=> c_Relation_ODomain(c_Relation_OId,T_a,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_543,plain,
    ! [T_a] :
      ( lhs_atom537(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ODomain__Id_0_0,def_lhs_atom537]) ).

fof(def_lhs_atom538,axiom,
    ! [V_y,T_a] :
      ( lhs_atom538(V_y,T_a)
    <=> c_Relation_ODomain(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_544,plain,
    ! [T_a,V_y] :
      ( lhs_atom538(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ODomain__diag_0_0,def_lhs_atom538]) ).

fof(def_lhs_atom539,axiom,
    ! [T_b,T_a] :
      ( lhs_atom539(T_b,T_a)
    <=> c_Relation_ODomain(c_emptyset,T_a,T_b) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_545,plain,
    ! [T_a,T_b] :
      ( lhs_atom539(T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ODomain__empty_0_0,def_lhs_atom539]) ).

fof(def_lhs_atom540,axiom,
    ! [V_y,T_b,T_a] :
      ( lhs_atom540(V_y,T_b,T_a)
    <=> c_Relation_Orel__comp(c_Relation_OId,V_y,T_b,T_b,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_546,plain,
    ! [T_a,T_b,V_y] :
      ( lhs_atom540(V_y,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_OId__O__R_0_0,def_lhs_atom540]) ).

fof(def_lhs_atom541,axiom,
    ! [V_y,T_a] :
      ( lhs_atom541(V_y,T_a)
    <=> c_Relation_OImage(c_Relation_OId,V_y,T_a,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_547,plain,
    ! [T_a,V_y] :
      ( lhs_atom541(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_OImage__Id_0_0,def_lhs_atom541]) ).

fof(def_lhs_atom542,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom542(V_B,V_A,T_a)
    <=> c_Relation_OImage(c_Relation_Odiag(V_A,T_a),V_B,T_a,T_a) = c_inter(V_A,V_B,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_548,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom542(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_OImage__diag_0_0,def_lhs_atom542]) ).

fof(def_lhs_atom543,axiom,
    ! [V_R,T_b,T_a] :
      ( lhs_atom543(V_R,T_b,T_a)
    <=> c_Relation_OImage(V_R,c_emptyset,T_b,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_549,plain,
    ! [T_a,T_b,V_R] :
      ( lhs_atom543(V_R,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_OImage__empty_0_0,def_lhs_atom543]) ).

fof(def_lhs_atom544,axiom,
    ! [V_y,T_b,T_a] :
      ( lhs_atom544(V_y,T_b,T_a)
    <=> c_Relation_Orel__comp(V_y,c_Relation_OId,T_a,T_b,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_550,plain,
    ! [T_a,T_b,V_y] :
      ( lhs_atom544(V_y,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_OR__O__Id_0_0,def_lhs_atom544]) ).

fof(def_lhs_atom545,axiom,
    ! [T_a] :
      ( lhs_atom545(T_a)
    <=> c_Relation_ORange(c_Relation_OId,T_a,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_551,plain,
    ! [T_a] :
      ( lhs_atom545(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ORange__Id_0_0,def_lhs_atom545]) ).

fof(def_lhs_atom546,axiom,
    ! [V_y,T_a] :
      ( lhs_atom546(V_y,T_a)
    <=> c_Relation_ORange(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_552,plain,
    ! [T_a,V_y] :
      ( lhs_atom546(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ORange__diag_0_0,def_lhs_atom546]) ).

fof(def_lhs_atom547,axiom,
    ! [T_b,T_a] :
      ( lhs_atom547(T_b,T_a)
    <=> c_Relation_ORange(c_emptyset,T_b,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_553,plain,
    ! [T_a,T_b] :
      ( lhs_atom547(T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_ORange__empty_0_0,def_lhs_atom547]) ).

fof(def_lhs_atom548,axiom,
    ! [T_a] :
      ( lhs_atom548(T_a)
    <=> c_Relation_Oconverse(c_Relation_OId,T_a,T_a) = c_Relation_OId ),
    inference(definition,[],[]) ).

fof(to_be_clausified_554,plain,
    ! [T_a] :
      ( lhs_atom548(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_Oconverse__Id_0_0,def_lhs_atom548]) ).

fof(def_lhs_atom549,axiom,
    ! [V_y,T_b,T_a] :
      ( lhs_atom549(V_y,T_b,T_a)
    <=> c_Relation_Oconverse(c_Relation_Oconverse(V_y,T_a,T_b),T_b,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_555,plain,
    ! [T_a,T_b,V_y] :
      ( lhs_atom549(V_y,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_Oconverse__converse_0_0,def_lhs_atom549]) ).

fof(def_lhs_atom550,axiom,
    ! [V_A,T_a] :
      ( lhs_atom550(V_A,T_a)
    <=> c_Relation_Oconverse(c_Relation_Odiag(V_A,T_a),T_a,T_a) = c_Relation_Odiag(V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_556,plain,
    ! [T_a,V_A] :
      ( lhs_atom550(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_Oconverse__diag_0_0,def_lhs_atom550]) ).

fof(def_lhs_atom551,axiom,
    ! [T_a] :
      ( lhs_atom551(T_a)
    <=> c_Relation_Odiag(c_emptyset,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_557,plain,
    ! [T_a] :
      ( lhs_atom551(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_Odiag__empty_0_0,def_lhs_atom551]) ).

fof(def_lhs_atom552,axiom,
    ! [V_x,T_a] :
      ( lhs_atom552(V_x,T_a)
    <=> c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_558,plain,
    ! [T_a,V_x] :
      ( lhs_atom552(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation_Opair__in__Id__conv_1_0,def_lhs_atom552]) ).

fof(def_lhs_atom553,axiom,
    ! [V_y,T_a] :
      ( lhs_atom553(V_y,T_a)
    <=> c_Nat_Opower(V_y,c_1,tc_set(tc_prod(T_a,T_a))) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_559,plain,
    ! [T_a,V_y] :
      ( lhs_atom553(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation__Power_Orel__pow__1_0_0,def_lhs_atom553]) ).

fof(def_lhs_atom554,axiom,
    ! [V_R,T_a__1] :
      ( lhs_atom554(V_R,T_a__1)
    <=> c_Nat_Opower(V_R,c_0,tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_OId ),
    inference(definition,[],[]) ).

fof(to_be_clausified_560,plain,
    ! [T_a__1,V_R] :
      ( lhs_atom554(V_R,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation__Power_Orelpow_Osimps__1_0_0,def_lhs_atom554]) ).

fof(def_lhs_atom555,axiom,
    ! [V_n,V_R,T_a__1] :
      ( lhs_atom555(V_n,V_R,T_a__1)
    <=> c_Nat_Opower(V_R,c_Suc(V_n),tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_Orel__comp(V_R,c_Nat_Opower(V_R,V_n,tc_set(tc_prod(T_a__1,T_a__1))),T_a__1,T_a__1,T_a__1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_561,plain,
    ! [T_a__1,V_R,V_n] :
      ( lhs_atom555(V_n,V_R,T_a__1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Relation__Power_Orelpow_Osimps__2_0_0,def_lhs_atom555]) ).

fof(def_lhs_atom556,axiom,
    ! [V_m] :
      ( lhs_atom556(V_m)
    <=> c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_562,plain,
    ! [V_m] :
      ( lhs_atom556(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_OatLeastLessThan__singleton_0_0,def_lhs_atom556]) ).

fof(def_lhs_atom557,axiom,
    ( lhs_atom557
  <=> c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_563,plain,
    ( lhs_atom557
    | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_OatLeast__0_0_0,def_lhs_atom557]) ).

fof(def_lhs_atom558,axiom,
    ( lhs_atom558
  <=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_564,plain,
    ( lhs_atom558
    | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_OatMost__0_0_0,def_lhs_atom558]) ).

fof(def_lhs_atom559,axiom,
    ! [V_u,V_l] :
      ( lhs_atom559(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(c_Suc(V_u),V_l,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_565,plain,
    ! [V_l,V_u] :
      ( lhs_atom559(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__atLeastAtMost_0_0,def_lhs_atom559]) ).

fof(def_lhs_atom560,axiom,
    ! [V_u,V_l] :
      ( lhs_atom560(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(V_u,V_l,tc_IntDef_Oint),c_1,tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_566,plain,
    ! [V_l,V_u] :
      ( lhs_atom560(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__atLeastAtMost__int_0_0,def_lhs_atom560]) ).

fof(def_lhs_atom561,axiom,
    ! [V_u,V_l] :
      ( lhs_atom561(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_567,plain,
    ! [V_l,V_u] :
      ( lhs_atom561(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__atLeastLessThan_0_0,def_lhs_atom561]) ).

fof(def_lhs_atom562,axiom,
    ! [V_u,V_l] :
      ( lhs_atom562(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_568,plain,
    ! [V_l,V_u] :
      ( lhs_atom562(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__atLeastLessThan__int_0_0,def_lhs_atom562]) ).

fof(def_lhs_atom563,axiom,
    ! [V_u] :
      ( lhs_atom563(V_u)
    <=> c_Finite__Set_Ocard(c_SetInterval_OatMost(V_u,tc_nat),tc_nat) = c_Suc(V_u) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_569,plain,
    ! [V_u] :
      ( lhs_atom563(V_u)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__atMost_0_0,def_lhs_atom563]) ).

fof(def_lhs_atom564,axiom,
    ! [V_u,V_l] :
      ( lhs_atom564(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_570,plain,
    ! [V_l,V_u] :
      ( lhs_atom564(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__greaterThanAtMost_0_0,def_lhs_atom564]) ).

fof(def_lhs_atom565,axiom,
    ! [V_u,V_l] :
      ( lhs_atom565(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_571,plain,
    ! [V_l,V_u] :
      ( lhs_atom565(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__greaterThanAtMost__int_0_0,def_lhs_atom565]) ).

fof(def_lhs_atom566,axiom,
    ! [V_u,V_l] :
      ( lhs_atom566(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,c_Suc(V_l),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_572,plain,
    ! [V_l,V_u] :
      ( lhs_atom566(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__greaterThanLessThan_0_0,def_lhs_atom566]) ).

fof(def_lhs_atom567,axiom,
    ! [V_u,V_l] :
      ( lhs_atom567(V_u,V_l)
    <=> c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,c_plus(V_l,c_1,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_573,plain,
    ! [V_l,V_u] :
      ( lhs_atom567(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__greaterThanLessThan__int_0_0,def_lhs_atom567]) ).

fof(def_lhs_atom568,axiom,
    ! [V_y] :
      ( lhs_atom568(V_y)
    <=> c_Finite__Set_Ocard(c_SetInterval_OlessThan(V_y,tc_nat),tc_nat) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_574,plain,
    ! [V_y] :
      ( lhs_atom568(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_Ocard__lessThan_0_0,def_lhs_atom568]) ).

fof(def_lhs_atom569,axiom,
    ( lhs_atom569
  <=> c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_575,plain,
    ( lhs_atom569
    | $false ),
    inference(fold_definition,[status(thm)],[cls_SetInterval_OlessThan__0_0_0,def_lhs_atom569]) ).

fof(def_lhs_atom570,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom570(V_B,V_A,T_a)
    <=> c_uminus(c_minus(V_A,V_B,tc_set(T_a)),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),V_B,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_576,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom570(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__Diff__eq_0_0,def_lhs_atom570]) ).

fof(def_lhs_atom571,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom571(V_B,V_A,T_a)
    <=> c_uminus(c_inter(V_A,V_B,T_a),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_577,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom571(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__Int_0_0,def_lhs_atom571]) ).

fof(def_lhs_atom572,axiom,
    ! [T_a] :
      ( lhs_atom572(T_a)
    <=> c_uminus(c_UNIV,tc_set(T_a)) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_578,plain,
    ! [T_a] :
      ( lhs_atom572(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__UNIV__eq_0_0,def_lhs_atom572]) ).

fof(def_lhs_atom573,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom573(V_B,V_A,T_a)
    <=> c_uminus(c_union(V_A,V_B,T_a),tc_set(T_a)) = c_inter(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_579,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom573(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__Un_0_0,def_lhs_atom573]) ).

fof(def_lhs_atom574,axiom,
    ! [V_A,T_a] :
      ( lhs_atom574(V_A,T_a)
    <=> c_inter(c_uminus(V_A,tc_set(T_a)),V_A,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_580,plain,
    ! [T_a,V_A] :
      ( lhs_atom574(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__disjoint2_0_0,def_lhs_atom574]) ).

fof(def_lhs_atom575,axiom,
    ! [V_A,T_a] :
      ( lhs_atom575(V_A,T_a)
    <=> c_inter(V_A,c_uminus(V_A,tc_set(T_a)),T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_581,plain,
    ! [T_a,V_A] :
      ( lhs_atom575(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__disjoint_0_0,def_lhs_atom575]) ).

fof(def_lhs_atom576,axiom,
    ! [T_a] :
      ( lhs_atom576(T_a)
    <=> c_uminus(c_emptyset,tc_set(T_a)) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_582,plain,
    ! [T_a] :
      ( lhs_atom576(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OCompl__empty__eq_0_0,def_lhs_atom576]) ).

fof(def_lhs_atom577,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom577(V_B,V_A,T_a)
    <=> c_minus(V_A,c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) = c_inter(V_A,V_B,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_583,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom577(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__Compl_0_0,def_lhs_atom577]) ).

fof(def_lhs_atom578,axiom,
    ! [V_A,T_a] :
      ( lhs_atom578(V_A,T_a)
    <=> c_minus(V_A,c_UNIV,tc_set(T_a)) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_584,plain,
    ! [T_a,V_A] :
      ( lhs_atom578(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__UNIV_0_0,def_lhs_atom578]) ).

fof(def_lhs_atom579,axiom,
    ! [V_A,T_a] :
      ( lhs_atom579(V_A,T_a)
    <=> c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_585,plain,
    ! [T_a,V_A] :
      ( lhs_atom579(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__cancel_0_0,def_lhs_atom579]) ).

fof(def_lhs_atom580,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom580(V_B,V_A,T_a)
    <=> c_inter(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_586,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom580(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__disjoint_0_0,def_lhs_atom580]) ).

fof(def_lhs_atom581,axiom,
    ! [V_y,T_a] :
      ( lhs_atom581(V_y,T_a)
    <=> c_minus(V_y,c_emptyset,tc_set(T_a)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_587,plain,
    ! [T_a,V_y] :
      ( lhs_atom581(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__empty_0_0,def_lhs_atom581]) ).

fof(def_lhs_atom582,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom582(V_B,V_A,T_a)
    <=> c_minus(c_minus(V_A,V_B,tc_set(T_a)),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_588,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom582(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_ODiff__idemp_0_0,def_lhs_atom582]) ).

fof(def_lhs_atom583,axiom,
    ! [T_a] :
      ( lhs_atom583(T_a)
    <=> c_inter(c_UNIV,c_UNIV,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_589,plain,
    ! [T_a] :
      ( lhs_atom583(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__UNIV_2_0,def_lhs_atom583]) ).

fof(def_lhs_atom584,axiom,
    ! [V_y,T_a] :
      ( lhs_atom584(V_y,T_a)
    <=> c_inter(c_UNIV,V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_590,plain,
    ! [T_a,V_y] :
      ( lhs_atom584(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__UNIV__left_0_0,def_lhs_atom584]) ).

fof(def_lhs_atom585,axiom,
    ! [V_y,T_a] :
      ( lhs_atom585(V_y,T_a)
    <=> c_inter(V_y,c_UNIV,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_591,plain,
    ! [T_a,V_y] :
      ( lhs_atom585(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__UNIV__right_0_0,def_lhs_atom585]) ).

fof(def_lhs_atom586,axiom,
    ! [V_y,T_a] :
      ( lhs_atom586(V_y,T_a)
    <=> c_inter(V_y,V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_592,plain,
    ! [T_a,V_y] :
      ( lhs_atom586(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__absorb_0_0,def_lhs_atom586]) ).

fof(def_lhs_atom587,axiom,
    ! [V_B,T_a] :
      ( lhs_atom587(V_B,T_a)
    <=> c_inter(c_emptyset,V_B,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_593,plain,
    ! [T_a,V_B] :
      ( lhs_atom587(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__empty__left_0_0,def_lhs_atom587]) ).

fof(def_lhs_atom588,axiom,
    ! [V_A,T_a] :
      ( lhs_atom588(V_A,T_a)
    <=> c_inter(V_A,c_emptyset,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_594,plain,
    ! [T_a,V_A] :
      ( lhs_atom588(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInt__empty__right_0_0,def_lhs_atom588]) ).

fof(def_lhs_atom589,axiom,
    ! [T_a] :
      ( lhs_atom589(T_a)
    <=> c_Inter(c_UNIV,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_595,plain,
    ! [T_a] :
      ( lhs_atom589(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInter__UNIV_0_0,def_lhs_atom589]) ).

fof(def_lhs_atom590,axiom,
    ! [T_a] :
      ( lhs_atom590(T_a)
    <=> c_Inter(c_emptyset,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_596,plain,
    ! [T_a] :
      ( lhs_atom590(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInter__empty_0_0,def_lhs_atom590]) ).

fof(def_lhs_atom591,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom591(V_a,V_B,T_a)
    <=> c_Inter(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_inter(V_a,c_Inter(V_B,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_597,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom591(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OInter__insert_0_0,def_lhs_atom591]) ).

fof(def_lhs_atom592,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom592(V_B,V_A,T_a)
    <=> c_Pow(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_Pow(V_A,T_a),c_Pow(V_B,T_a),tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_598,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom592(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OPow__Int__eq_0_0,def_lhs_atom592]) ).

fof(def_lhs_atom593,axiom,
    ! [T_a] :
      ( lhs_atom593(T_a)
    <=> c_Pow(c_UNIV,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_599,plain,
    ! [T_a] :
      ( lhs_atom593(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OPow__UNIV_0_0,def_lhs_atom593]) ).

fof(def_lhs_atom594,axiom,
    ! [T_a] :
      ( lhs_atom594(T_a)
    <=> c_Pow(c_emptyset,T_a) = c_insert(c_emptyset,c_emptyset,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_600,plain,
    ! [T_a] :
      ( lhs_atom594(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OPow__empty_0_0,def_lhs_atom594]) ).

fof(def_lhs_atom595,axiom,
    ( lhs_atom595
  <=> c_UNIV != c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_601,plain,
    ( lhs_atom595
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUNIV__not__empty_0_0,def_lhs_atom595]) ).

fof(def_lhs_atom596,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom596(V_B,V_A,T_a)
    <=> c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_602,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom596(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__Diff__cancel2_0_0,def_lhs_atom596]) ).

fof(def_lhs_atom597,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom597(V_B,V_A,T_a)
    <=> c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_603,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom597(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__Diff__cancel_0_0,def_lhs_atom597]) ).

fof(def_lhs_atom598,axiom,
    ! [V_B,T_a] :
      ( lhs_atom598(V_B,T_a)
    <=> c_union(c_UNIV,V_B,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_604,plain,
    ! [T_a,V_B] :
      ( lhs_atom598(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__UNIV__left_0_0,def_lhs_atom598]) ).

fof(def_lhs_atom599,axiom,
    ! [V_A,T_a] :
      ( lhs_atom599(V_A,T_a)
    <=> c_union(V_A,c_UNIV,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_605,plain,
    ! [T_a,V_A] :
      ( lhs_atom599(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__UNIV__right_0_0,def_lhs_atom599]) ).

fof(def_lhs_atom600,axiom,
    ! [V_y,T_a] :
      ( lhs_atom600(V_y,T_a)
    <=> c_union(V_y,V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_606,plain,
    ! [T_a,V_y] :
      ( lhs_atom600(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__absorb_0_0,def_lhs_atom600]) ).

fof(def_lhs_atom601,axiom,
    ! [T_a] :
      ( lhs_atom601(T_a)
    <=> c_union(c_emptyset,c_emptyset,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_607,plain,
    ! [T_a] :
      ( lhs_atom601(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__empty_2_0,def_lhs_atom601]) ).

fof(def_lhs_atom602,axiom,
    ! [V_y,T_a] :
      ( lhs_atom602(V_y,T_a)
    <=> c_union(c_emptyset,V_y,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_608,plain,
    ! [T_a,V_y] :
      ( lhs_atom602(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__empty__left_0_0,def_lhs_atom602]) ).

fof(def_lhs_atom603,axiom,
    ! [V_y,T_a] :
      ( lhs_atom603(V_y,T_a)
    <=> c_union(V_y,c_emptyset,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_609,plain,
    ! [T_a,V_y] :
      ( lhs_atom603(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__empty__right_0_0,def_lhs_atom603]) ).

fof(def_lhs_atom604,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom604(V_a,V_C,V_B,T_a)
    <=> c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_610,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom604(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__insert__left_0_0,def_lhs_atom604]) ).

fof(def_lhs_atom605,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom605(V_a,V_B,V_A,T_a)
    <=> c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_611,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom605(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUn__insert__right_0_0,def_lhs_atom605]) ).

fof(def_lhs_atom606,axiom,
    ! [V_y,T_a] :
      ( lhs_atom606(V_y,T_a)
    <=> c_Union(c_Pow(V_y,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_612,plain,
    ! [T_a,V_y] :
      ( lhs_atom606(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUnion__Pow__eq_0_0,def_lhs_atom606]) ).

fof(def_lhs_atom607,axiom,
    ! [T_a] :
      ( lhs_atom607(T_a)
    <=> c_Union(c_UNIV,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_613,plain,
    ! [T_a] :
      ( lhs_atom607(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUnion__UNIV_0_0,def_lhs_atom607]) ).

fof(def_lhs_atom608,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom608(V_B,V_A,T_a)
    <=> c_Union(c_union(V_A,V_B,tc_set(T_a)),T_a) = c_union(c_Union(V_A,T_a),c_Union(V_B,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_614,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom608(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUnion__Un__distrib_0_0,def_lhs_atom608]) ).

fof(def_lhs_atom609,axiom,
    ! [T_a] :
      ( lhs_atom609(T_a)
    <=> c_Union(c_emptyset,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_615,plain,
    ! [T_a] :
      ( lhs_atom609(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUnion__empty_0_0,def_lhs_atom609]) ).

fof(def_lhs_atom610,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom610(V_a,V_B,T_a)
    <=> c_Union(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_union(V_a,c_Union(V_B,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_616,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom610(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_OUnion__insert_0_0,def_lhs_atom610]) ).

fof(def_lhs_atom611,axiom,
    ! [V_y,T_a] :
      ( lhs_atom611(V_y,T_a)
    <=> c_Set_Ocontents(c_insert(V_y,c_emptyset,T_a),T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_617,plain,
    ! [T_a,V_y] :
      ( lhs_atom611(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Ocontents__eq_0_0,def_lhs_atom611]) ).

fof(def_lhs_atom612,axiom,
    ! [V_y,T_a] :
      ( lhs_atom612(V_y,T_a)
    <=> c_uminus(c_uminus(V_y,tc_set(T_a)),tc_set(T_a)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_618,plain,
    ! [T_a,V_y] :
      ( lhs_atom612(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Odouble__complement_0_0,def_lhs_atom612]) ).

fof(def_lhs_atom613,axiom,
    ! [V_A,T_a] :
      ( lhs_atom613(V_A,T_a)
    <=> c_minus(c_emptyset,V_A,tc_set(T_a)) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_619,plain,
    ! [T_a,V_A] :
      ( lhs_atom613(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oempty__Diff_0_0,def_lhs_atom613]) ).

fof(def_lhs_atom614,axiom,
    ! [V_c,T_a] :
      ( lhs_atom614(V_c,T_a)
    <=> ~ c_in(V_c,c_emptyset,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_620,plain,
    ! [T_a,V_c] :
      ( lhs_atom614(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oempty__iff_0_0,def_lhs_atom614]) ).

fof(def_lhs_atom615,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom615(V_a,V_A,T_a)
    <=> c_emptyset != c_insert(V_a,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_621,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom615(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oempty__not__insert_0_0,def_lhs_atom615]) ).

fof(def_lhs_atom616,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom616(V_a,V_A,T_a)
    <=> c_insert(V_a,c_minus(V_A,c_insert(V_a,c_emptyset,T_a),tc_set(T_a)),T_a) = c_insert(V_a,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_622,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom616(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oinsert__Diff__single_0_0,def_lhs_atom616]) ).

fof(def_lhs_atom617,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom617(V_x,V_A,T_a)
    <=> c_insert(V_x,c_insert(V_x,V_A,T_a),T_a) = c_insert(V_x,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_623,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom617(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oinsert__absorb2_0_0,def_lhs_atom617]) ).

fof(def_lhs_atom618,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom618(V_x,V_A,T_a)
    <=> c_in(V_x,c_insert(V_x,V_A,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_624,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom618(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oinsert__iff_1_0,def_lhs_atom618]) ).

fof(def_lhs_atom619,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom619(V_a,V_B,V_A,T_a)
    <=> c_inter(c_insert(V_a,V_A,T_a),c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_inter(V_A,V_B,T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_625,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom619(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oinsert__inter__insert_0_0,def_lhs_atom619]) ).

fof(def_lhs_atom620,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom620(V_a,V_A,T_a)
    <=> c_insert(V_a,V_A,T_a) != c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_626,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom620(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Oinsert__not__empty_0_0,def_lhs_atom620]) ).

fof(def_lhs_atom621,axiom,
    ! [V_A,T_a] :
      ( lhs_atom621(V_A,T_a)
    <=> ~ c_less(V_A,c_emptyset,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_627,plain,
    ! [T_a,V_A] :
      ( lhs_atom621(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Onot__psubset__empty_0_0,def_lhs_atom621]) ).

fof(def_lhs_atom622,axiom,
    ! [V_A,T_a] :
      ( lhs_atom622(V_A,T_a)
    <=> c_lessequals(V_A,c_UNIV,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_628,plain,
    ! [T_a,V_A] :
      ( lhs_atom622(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Osubset__UNIV_0_0,def_lhs_atom622]) ).

fof(def_lhs_atom623,axiom,
    ! [T_a] :
      ( lhs_atom623(T_a)
    <=> c_lessequals(c_emptyset,c_emptyset,tc_set(T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_629,plain,
    ! [T_a] :
      ( lhs_atom623(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Set_Osubset__empty_1_0,def_lhs_atom623]) ).

fof(def_lhs_atom624,axiom,
    ! [V_b,V_a,T_b,T_a] :
      ( lhs_atom624(V_b,V_a,T_b,T_a)
    <=> c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_630,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( lhs_atom624(V_b,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Sum__Type_OInl__not__Inr_0_0,def_lhs_atom624]) ).

fof(def_lhs_atom625,axiom,
    ! [V_b,V_a,T_b,T_a] :
      ( lhs_atom625(V_b,V_a,T_b,T_a)
    <=> c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_631,plain,
    ! [T_a,T_b,V_a,V_b] :
      ( lhs_atom625(V_b,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Sum__Type_OInr__not__Inl_0_0,def_lhs_atom625]) ).

fof(def_lhs_atom626,axiom,
    ! [T_b,T_a] :
      ( lhs_atom626(T_b,T_a)
    <=> c_Sum__Type_OPlus(c_UNIV,c_UNIV,T_a,T_b) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_632,plain,
    ! [T_a,T_b] :
      ( lhs_atom626(T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Sum__Type_OUNIV__Plus__UNIV_0_0,def_lhs_atom626]) ).

fof(def_lhs_atom627,axiom,
    ! [V_R,T_a] :
      ( lhs_atom627(V_R,T_a)
    <=> c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_633,plain,
    ! [T_a,V_R] :
      ( lhs_atom627(V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_ODomain__rtrancl_0_0,def_lhs_atom627]) ).

fof(def_lhs_atom628,axiom,
    ! [V_R,T_a] :
      ( lhs_atom628(V_R,T_a)
    <=> c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV ),
    inference(definition,[],[]) ).

fof(to_be_clausified_634,plain,
    ! [T_a,V_R] :
      ( lhs_atom628(V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_ORange__rtrancl_0_0,def_lhs_atom628]) ).

fof(def_lhs_atom629,axiom,
    ! [V_r,T_a] :
      ( lhs_atom629(V_r,T_a)
    <=> c_union(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId,tc_prod(T_a,T_a)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_635,plain,
    ! [T_a,V_r] :
      ( lhs_atom629(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Oreflcl__trancl_0_0,def_lhs_atom629]) ).

fof(def_lhs_atom630,axiom,
    ! [T_a] :
      ( lhs_atom630(T_a)
    <=> c_Transitive__Closure_Ortrancl(c_emptyset,T_a) = c_Relation_OId ),
    inference(definition,[],[]) ).

fof(to_be_clausified_636,plain,
    ! [T_a] :
      ( lhs_atom630(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl__empty_0_0,def_lhs_atom630]) ).

fof(def_lhs_atom631,axiom,
    ! [V_r,T_a] :
      ( lhs_atom631(V_r,T_a)
    <=> c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_637,plain,
    ! [T_a,V_r] :
      ( lhs_atom631(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl__idemp_0_0,def_lhs_atom631]) ).

fof(def_lhs_atom632,axiom,
    ! [V_R,T_a] :
      ( lhs_atom632(V_R,T_a)
    <=> c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_638,plain,
    ! [T_a,V_R] :
      ( lhs_atom632(V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl__idemp__self__comp_0_0,def_lhs_atom632]) ).

fof(def_lhs_atom633,axiom,
    ! [V_R,T_a] :
      ( lhs_atom633(V_R,T_a)
    <=> c_Transitive__Closure_Ortrancl(c_union(V_R,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_639,plain,
    ! [T_a,V_R] :
      ( lhs_atom633(V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Ortrancl__reflcl_0_0,def_lhs_atom633]) ).

fof(def_lhs_atom634,axiom,
    ! [V_r,T_a] :
      ( lhs_atom634(V_r,T_a)
    <=> c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_640,plain,
    ! [T_a,V_r] :
      ( lhs_atom634(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Otrancl__domain_0_0,def_lhs_atom634]) ).

fof(def_lhs_atom635,axiom,
    ! [T_a] :
      ( lhs_atom635(T_a)
    <=> c_Transitive__Closure_Otrancl(c_emptyset,T_a) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_641,plain,
    ! [T_a] :
      ( lhs_atom635(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Otrancl__empty_0_0,def_lhs_atom635]) ).

fof(def_lhs_atom636,axiom,
    ! [V_r,T_a] :
      ( lhs_atom636(V_r,T_a)
    <=> c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_642,plain,
    ! [T_a,V_r] :
      ( lhs_atom636(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Otrancl__range_0_0,def_lhs_atom636]) ).

fof(def_lhs_atom637,axiom,
    ! [V_r,T_a] :
      ( lhs_atom637(V_r,T_a)
    <=> c_Transitive__Closure_Otrancl(c_union(V_r,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_643,plain,
    ! [T_a,V_r] :
      ( lhs_atom637(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Transitive__Closure_Otrancl__reflcl_0_0,def_lhs_atom637]) ).

fof(def_lhs_atom638,axiom,
    ! [V_nat_H] :
      ( lhs_atom638(V_nat_H)
    <=> c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_644,plain,
    ! [V_nat_H] :
      ( lhs_atom638(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__1_0_0,def_lhs_atom638]) ).

fof(def_lhs_atom639,axiom,
    ! [V_nat_H] :
      ( lhs_atom639(V_nat_H)
    <=> c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer ),
    inference(definition,[],[]) ).

fof(to_be_clausified_645,plain,
    ! [V_nat_H] :
      ( lhs_atom639(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__2_0_0,def_lhs_atom639]) ).

fof(def_lhs_atom640,axiom,
    ( lhs_atom640
  <=> c_Message_Oagent_OServer != c_Message_Oagent_OSpy ),
    inference(definition,[],[]) ).

fof(to_be_clausified_646,plain,
    ( lhs_atom640
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__3_0_0,def_lhs_atom640]) ).

fof(def_lhs_atom641,axiom,
    ( lhs_atom641
  <=> c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
    inference(definition,[],[]) ).

fof(to_be_clausified_647,plain,
    ( lhs_atom641
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__4_0_0,def_lhs_atom641]) ).

fof(def_lhs_atom642,axiom,
    ! [V_nat] :
      ( lhs_atom642(V_nat)
    <=> c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy ),
    inference(definition,[],[]) ).

fof(to_be_clausified_648,plain,
    ! [V_nat] :
      ( lhs_atom642(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__5_0_0,def_lhs_atom642]) ).

fof(def_lhs_atom643,axiom,
    ! [V_nat] :
      ( lhs_atom643(V_nat)
    <=> c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_649,plain,
    ! [V_nat] :
      ( lhs_atom643(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Odistinct__6_0_0,def_lhs_atom643]) ).

fof(def_lhs_atom644,axiom,
    ( lhs_atom644
  <=> c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_650,plain,
    ( lhs_atom644
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Osize__1_0_0,def_lhs_atom644]) ).

fof(def_lhs_atom645,axiom,
    ! [V_nat] :
      ( lhs_atom645(V_nat)
    <=> c_Nat_Osize(c_Message_Oagent_OFriend(V_nat),tc_Message_Oagent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_651,plain,
    ! [V_nat] :
      ( lhs_atom645(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Osize__2_0_0,def_lhs_atom645]) ).

fof(def_lhs_atom646,axiom,
    ( lhs_atom646
  <=> c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_652,plain,
    ( lhs_atom646
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oagent_Osize__3_0_0,def_lhs_atom646]) ).

fof(def_lhs_atom647,axiom,
    ! [V_y] :
      ( lhs_atom647(V_y)
    <=> c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_653,plain,
    ! [V_y] :
      ( lhs_atom647(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0_0,def_lhs_atom647]) ).

fof(def_lhs_atom648,axiom,
    ! [V_H_H,V_H] :
      ( lhs_atom648(V_H_H,V_H)
    <=> c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_654,plain,
    ! [V_H,V_H_H] :
      ( lhs_atom648(V_H_H,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__Un_0_0,def_lhs_atom648]) ).

fof(def_lhs_atom649,axiom,
    ( lhs_atom649
  <=> c_Message_OkeysFor(c_emptyset) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_655,plain,
    ( lhs_atom649
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__empty_0_0,def_lhs_atom649]) ).

fof(def_lhs_atom650,axiom,
    ! [V_H,V_A] :
      ( lhs_atom650(V_H,V_A)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_656,plain,
    ! [V_A,V_H] :
      ( lhs_atom650(V_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Agent_0_0,def_lhs_atom650]) ).

fof(def_lhs_atom651,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom651(V_X,V_K,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_657,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom651(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Crypt_0_0,def_lhs_atom651]) ).

fof(def_lhs_atom652,axiom,
    ! [V_X,V_H] :
      ( lhs_atom652(V_X,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_658,plain,
    ! [V_H,V_X] :
      ( lhs_atom652(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Hash_0_0,def_lhs_atom652]) ).

fof(def_lhs_atom653,axiom,
    ! [V_K,V_H] :
      ( lhs_atom653(V_K,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_659,plain,
    ! [V_H,V_K] :
      ( lhs_atom653(V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Key_0_0,def_lhs_atom653]) ).

fof(def_lhs_atom654,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom654(V_Y,V_X,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_660,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom654(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__MPair_0_0,def_lhs_atom654]) ).

fof(def_lhs_atom655,axiom,
    ! [V_N,V_H] :
      ( lhs_atom655(V_N,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_661,plain,
    ! [V_H,V_N] :
      ( lhs_atom655(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Nonce_0_0,def_lhs_atom655]) ).

fof(def_lhs_atom656,axiom,
    ! [V_N,V_H] :
      ( lhs_atom656(V_N,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_662,plain,
    ! [V_H,V_N] :
      ( lhs_atom656(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__Number_0_0,def_lhs_atom656]) ).

fof(def_lhs_atom657,axiom,
    ! [V_agent] :
      ( lhs_atom657(V_agent)
    <=> c_Nat_Osize(c_Message_Omsg_OAgent(V_agent),tc_Message_Omsg) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_663,plain,
    ! [V_agent] :
      ( lhs_atom657(V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__1_0_0,def_lhs_atom657]) ).

fof(def_lhs_atom658,axiom,
    ! [V_nat] :
      ( lhs_atom658(V_nat)
    <=> c_Nat_Osize(c_Message_Omsg_ONumber(V_nat),tc_Message_Omsg) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_664,plain,
    ! [V_nat] :
      ( lhs_atom658(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__2_0_0,def_lhs_atom658]) ).

fof(def_lhs_atom659,axiom,
    ! [V_nat] :
      ( lhs_atom659(V_nat)
    <=> c_Nat_Osize(c_Message_Omsg_ONonce(V_nat),tc_Message_Omsg) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_665,plain,
    ! [V_nat] :
      ( lhs_atom659(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__3_0_0,def_lhs_atom659]) ).

fof(def_lhs_atom660,axiom,
    ! [V_nat] :
      ( lhs_atom660(V_nat)
    <=> c_Nat_Osize(c_Message_Omsg_OKey(V_nat),tc_Message_Omsg) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_666,plain,
    ! [V_nat] :
      ( lhs_atom660(V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__4_0_0,def_lhs_atom660]) ).

fof(def_lhs_atom661,axiom,
    ! [V_msg] :
      ( lhs_atom661(V_msg)
    <=> c_Nat_Osize(c_Message_Omsg_OHash(V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_667,plain,
    ! [V_msg] :
      ( lhs_atom661(V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__5_0_0,def_lhs_atom661]) ).

fof(def_lhs_atom662,axiom,
    ! [V_msg2,V_msg1] :
      ( lhs_atom662(V_msg2,V_msg1)
    <=> c_Nat_Osize(c_Message_Omsg_OMPair(V_msg1,V_msg2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(V_msg1,tc_Message_Omsg),c_Nat_Osize(V_msg2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_668,plain,
    ! [V_msg1,V_msg2] :
      ( lhs_atom662(V_msg2,V_msg1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__6_0_0,def_lhs_atom662]) ).

fof(def_lhs_atom663,axiom,
    ! [V_nat,V_msg] :
      ( lhs_atom663(V_nat,V_msg)
    <=> c_Nat_Osize(c_Message_Omsg_OCrypt(V_nat,V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_669,plain,
    ! [V_msg,V_nat] :
      ( lhs_atom663(V_nat,V_msg)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Omsg_Osize__7_0_0,def_lhs_atom663]) ).

fof(def_lhs_atom664,axiom,
    ! [V_H,V_G] :
      ( lhs_atom664(V_H,V_G)
    <=> c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_670,plain,
    ! [V_G,V_H] :
      ( lhs_atom664(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__Un_0_0,def_lhs_atom664]) ).

fof(def_lhs_atom665,axiom,
    ! [V_X] :
      ( lhs_atom665(V_X)
    <=> ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_671,plain,
    ! [V_X] :
      ( lhs_atom665(V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__emptyE_0_0,def_lhs_atom665]) ).

fof(def_lhs_atom666,axiom,
    ( lhs_atom666
  <=> c_Message_Oparts(c_emptyset) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_672,plain,
    ( lhs_atom666
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__empty_0_0,def_lhs_atom666]) ).

fof(def_lhs_atom667,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom667(V_B,V_A,T_a)
    <=> c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_673,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom667(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Ostrange__Un__eq_0_0,def_lhs_atom667]) ).

fof(def_lhs_atom668,axiom,
    ( lhs_atom668
  <=> ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_674,plain,
    ( lhs_atom668
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0_0,def_lhs_atom668]) ).

fof(def_lhs_atom669,axiom,
    ( lhs_atom669
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_675,plain,
    ( lhs_atom669
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0_0,def_lhs_atom669]) ).

fof(def_lhs_atom670,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom670(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_676,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom670(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__1_0_0,def_lhs_atom670]) ).

fof(def_lhs_atom671,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom671(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_677,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom671(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__2_0_0,def_lhs_atom671]) ).

fof(def_lhs_atom672,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom672(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_678,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom672(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__3_0_0,def_lhs_atom672]) ).

fof(def_lhs_atom673,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1] :
      ( lhs_atom673(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
    <=> c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_679,plain,
    ! [V_agent1,V_agent2,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom673(V_msg_H,V_msg,V_agent_H,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__4_0_0,def_lhs_atom673]) ).

fof(def_lhs_atom674,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom674(V_msg_H,V_msg,V_agent_H,V_agent)
    <=> c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_680,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom674(V_msg_H,V_msg,V_agent_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__5_0_0,def_lhs_atom674]) ).

fof(def_lhs_atom675,axiom,
    ! [V_msg_H,V_msg,V_agent_H,V_agent] :
      ( lhs_atom675(V_msg_H,V_msg,V_agent_H,V_agent)
    <=> c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_681,plain,
    ! [V_agent,V_agent_H,V_msg,V_msg_H] :
      ( lhs_atom675(V_msg_H,V_msg,V_agent_H,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Odistinct__6_0_0,def_lhs_atom675]) ).

fof(def_lhs_atom676,axiom,
    ! [V_msg,V_agent2,V_agent1] :
      ( lhs_atom676(V_msg,V_agent2,V_agent1)
    <=> c_Nat_Osize(c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),tc_Event_Oevent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_682,plain,
    ! [V_agent1,V_agent2,V_msg] :
      ( lhs_atom676(V_msg,V_agent2,V_agent1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Osize__1_0_0,def_lhs_atom676]) ).

fof(def_lhs_atom677,axiom,
    ! [V_msg,V_agent] :
      ( lhs_atom677(V_msg,V_agent)
    <=> c_Nat_Osize(c_Event_Oevent_OGets(V_agent,V_msg),tc_Event_Oevent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_683,plain,
    ! [V_agent,V_msg] :
      ( lhs_atom677(V_msg,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Osize__2_0_0,def_lhs_atom677]) ).

fof(def_lhs_atom678,axiom,
    ! [V_msg,V_agent] :
      ( lhs_atom678(V_msg,V_agent)
    <=> c_Nat_Osize(c_Event_Oevent_ONotes(V_agent,V_msg),tc_Event_Oevent) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_684,plain,
    ! [V_agent,V_msg] :
      ( lhs_atom678(V_msg,V_agent)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oevent_Osize__3_0_0,def_lhs_atom678]) ).

fof(def_lhs_atom679,axiom,
    ! [V_A] :
      ( lhs_atom679(V_A)
    <=> c_Event_Oknows(V_A,c_List_Olist_ONil) = c_Event_OinitState(V_A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_685,plain,
    ! [V_A] :
      ( lhs_atom679(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oknows_Oknows__Nil_0_0,def_lhs_atom679]) ).

fof(def_lhs_atom680,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom680(V_evs,V_X,V_A)
    <=> c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_686,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom680(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oknows__Spy__Gets_0_0,def_lhs_atom680]) ).

fof(def_lhs_atom681,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom681(V_evs,V_X,V_B,V_A)
    <=> c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_insert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_687,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom681(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oknows__Spy__Says_0_0,def_lhs_atom681]) ).

fof(def_lhs_atom682,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom682(V_evs,V_X,V_A)
    <=> c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_688,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom682(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oused__Gets_0_0,def_lhs_atom682]) ).

fof(def_lhs_atom683,axiom,
    ! [V_evs,V_X,V_A] :
      ( lhs_atom683(V_evs,V_X,V_A)
    <=> c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_689,plain,
    ! [V_A,V_X,V_evs] :
      ( lhs_atom683(V_evs,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oused__Notes_0_0,def_lhs_atom683]) ).

fof(def_lhs_atom684,axiom,
    ! [V_evs,V_X,V_B,V_A] :
      ( lhs_atom684(V_evs,V_X,V_B,V_A)
    <=> c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_690,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( lhs_atom684(V_evs,V_X,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Event_Oused__Says_0_0,def_lhs_atom684]) ).

fof(def_lhs_atom685,axiom,
    ! [V_H,V_A] :
      ( lhs_atom685(V_H,V_A)
    <=> c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_691,plain,
    ! [V_A,V_H] :
      ( lhs_atom685(V_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OAgent__synth_0_0,def_lhs_atom685]) ).

fof(def_lhs_atom686,axiom,
    ! [V_x,V_X] :
      ( lhs_atom686(V_x,V_X)
    <=> c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_692,plain,
    ! [V_X,V_x] :
      ( lhs_atom686(V_x,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__eq__MPair_2_0,def_lhs_atom686]) ).

fof(def_lhs_atom687,axiom,
    ! [V_Y,V_X,V_A] :
      ( lhs_atom687(V_Y,V_X,V_A)
    <=> c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_693,plain,
    ! [V_A,V_X,V_Y] :
      ( lhs_atom687(V_Y,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__1_0_0,def_lhs_atom687]) ).

fof(def_lhs_atom688,axiom,
    ! [V_Y,V_X,V_N] :
      ( lhs_atom688(V_Y,V_X,V_N)
    <=> c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_694,plain,
    ! [V_N,V_X,V_Y] :
      ( lhs_atom688(V_Y,V_X,V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__2_0_0,def_lhs_atom688]) ).

fof(def_lhs_atom689,axiom,
    ! [V_Y,V_X,V_N] :
      ( lhs_atom689(V_Y,V_X,V_N)
    <=> c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_695,plain,
    ! [V_N,V_X,V_Y] :
      ( lhs_atom689(V_Y,V_X,V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__3_0_0,def_lhs_atom689]) ).

fof(def_lhs_atom690,axiom,
    ! [V_Y,V_X,V_K] :
      ( lhs_atom690(V_Y,V_X,V_K)
    <=> c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_696,plain,
    ! [V_K,V_X,V_Y] :
      ( lhs_atom690(V_Y,V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__4_0_0,def_lhs_atom690]) ).

fof(def_lhs_atom691,axiom,
    ! [V_Z,V_Y,V_X] :
      ( lhs_atom691(V_Z,V_Y,V_X)
    <=> c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_697,plain,
    ! [V_X,V_Y,V_Z] :
      ( lhs_atom691(V_Z,V_Y,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__5_0_0,def_lhs_atom691]) ).

fof(def_lhs_atom692,axiom,
    ! [V_Y,V_X_H,V_X,V_K] :
      ( lhs_atom692(V_Y,V_X_H,V_X,V_K)
    <=> c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_698,plain,
    ! [V_K,V_X,V_X_H,V_Y] :
      ( lhs_atom692(V_Y,V_X_H,V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHPair__neqs__6_0_0,def_lhs_atom692]) ).

fof(def_lhs_atom693,axiom,
    ! [V_Y,V_X,V_A] :
      ( lhs_atom693(V_Y,V_X,V_A)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_699,plain,
    ! [V_A,V_X,V_Y] :
      ( lhs_atom693(V_Y,V_X,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0_0,def_lhs_atom693]) ).

fof(def_lhs_atom694,axiom,
    ! [V_Y,V_X_H,V_X,V_K] :
      ( lhs_atom694(V_Y,V_X_H,V_X,V_K)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_700,plain,
    ! [V_K,V_X,V_X_H,V_Y] :
      ( lhs_atom694(V_Y,V_X_H,V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0_0,def_lhs_atom694]) ).

fof(def_lhs_atom695,axiom,
    ! [V_Z,V_Y,V_X] :
      ( lhs_atom695(V_Z,V_Y,V_X)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_701,plain,
    ! [V_X,V_Y,V_Z] :
      ( lhs_atom695(V_Z,V_Y,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0_0,def_lhs_atom695]) ).

fof(def_lhs_atom696,axiom,
    ! [V_Y,V_X,V_K] :
      ( lhs_atom696(V_Y,V_X,V_K)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_702,plain,
    ! [V_K,V_X,V_Y] :
      ( lhs_atom696(V_Y,V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0_0,def_lhs_atom696]) ).

fof(def_lhs_atom697,axiom,
    ! [V_Y,V_X,V_N] :
      ( lhs_atom697(V_Y,V_X,V_N)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_703,plain,
    ! [V_N,V_X,V_Y] :
      ( lhs_atom697(V_Y,V_X,V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0_0,def_lhs_atom697]) ).

fof(def_lhs_atom698,axiom,
    ! [V_Y,V_X,V_N] :
      ( lhs_atom698(V_Y,V_X,V_N)
    <=> c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_704,plain,
    ! [V_N,V_X,V_Y] :
      ( lhs_atom698(V_Y,V_X,V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0_0,def_lhs_atom698]) ).

fof(def_lhs_atom699,axiom,
    ! [V_x,V_X] :
      ( lhs_atom699(V_x,V_X)
    <=> c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_705,plain,
    ! [V_X,V_x] :
      ( lhs_atom699(V_x,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OMPair__eq__HPair_2_0,def_lhs_atom699]) ).

fof(def_lhs_atom700,axiom,
    ! [V_n,V_H] :
      ( lhs_atom700(V_n,V_H)
    <=> c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_706,plain,
    ! [V_H,V_n] :
      ( lhs_atom700(V_n,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_ONumber__synth_0_0,def_lhs_atom700]) ).

fof(def_lhs_atom701,axiom,
    ! [V_H,V_G] :
      ( lhs_atom701(V_H,V_G)
    <=> c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_707,plain,
    ! [V_G,V_H] :
      ( lhs_atom701(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__analz__Un_0_0,def_lhs_atom701]) ).

fof(def_lhs_atom702,axiom,
    ( lhs_atom702
  <=> c_Message_Oanalz(c_emptyset) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_708,plain,
    ( lhs_atom702
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__empty_0_0,def_lhs_atom702]) ).

fof(def_lhs_atom703,axiom,
    ! [V_H] :
      ( lhs_atom703(V_H)
    <=> c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_709,plain,
    ! [V_H] :
      ( lhs_atom703(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__idem_0_0,def_lhs_atom703]) ).

fof(def_lhs_atom704,axiom,
    ! [V_agt,V_H] :
      ( lhs_atom704(V_agt,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_710,plain,
    ! [V_H,V_agt] :
      ( lhs_atom704(V_agt,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__Agent_0_0,def_lhs_atom704]) ).

fof(def_lhs_atom705,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom705(V_Y,V_X,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_711,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom705(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__HPair_0_0,def_lhs_atom705]) ).

fof(def_lhs_atom706,axiom,
    ! [V_X,V_H] :
      ( lhs_atom706(V_X,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_712,plain,
    ! [V_H,V_X] :
      ( lhs_atom706(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__Hash_0_0,def_lhs_atom706]) ).

fof(def_lhs_atom707,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom707(V_Y,V_X,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_713,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom707(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__MPair_0_0,def_lhs_atom707]) ).

fof(def_lhs_atom708,axiom,
    ! [V_N,V_H] :
      ( lhs_atom708(V_N,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_714,plain,
    ! [V_H,V_N] :
      ( lhs_atom708(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__Nonce_0_0,def_lhs_atom708]) ).

fof(def_lhs_atom709,axiom,
    ! [V_N,V_H] :
      ( lhs_atom709(V_N,V_H)
    <=> c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_715,plain,
    ! [V_H,V_N] :
      ( lhs_atom709(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__insert__Number_0_0,def_lhs_atom709]) ).

fof(def_lhs_atom710,axiom,
    ! [V_H] :
      ( lhs_atom710(V_H)
    <=> c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_716,plain,
    ! [V_H] :
      ( lhs_atom710(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__parts_0_0,def_lhs_atom710]) ).

fof(def_lhs_atom711,axiom,
    ! [V_H] :
      ( lhs_atom711(V_H)
    <=> c_Message_Oanalz(c_Message_Osynth(V_H)) = c_union(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_717,plain,
    ! [V_H] :
      ( lhs_atom711(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__synth_0_0,def_lhs_atom711]) ).

fof(def_lhs_atom712,axiom,
    ! [V_H,V_G] :
      ( lhs_atom712(V_H,V_G)
    <=> c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_718,plain,
    ! [V_G,V_H] :
      ( lhs_atom712(V_H,V_G)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oanalz__synth__Un_0_0,def_lhs_atom712]) ).

fof(def_lhs_atom713,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom713(V_Y,V_X,V_H)
    <=> c_Message_OkeysFor(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_719,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom713(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_OkeysFor__insert__HPair_0_0,def_lhs_atom713]) ).

fof(def_lhs_atom714,axiom,
    ! [V_H] :
      ( lhs_atom714(V_H)
    <=> c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_720,plain,
    ! [V_H] :
      ( lhs_atom714(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__analz_0_0,def_lhs_atom714]) ).

fof(def_lhs_atom715,axiom,
    ! [V_H] :
      ( lhs_atom715(V_H)
    <=> c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_721,plain,
    ! [V_H] :
      ( lhs_atom715(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__idem_0_0,def_lhs_atom715]) ).

fof(def_lhs_atom716,axiom,
    ! [V_agt,V_H] :
      ( lhs_atom716(V_agt,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_722,plain,
    ! [V_H,V_agt] :
      ( lhs_atom716(V_agt,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Agent_0_0,def_lhs_atom716]) ).

fof(def_lhs_atom717,axiom,
    ! [V_X,V_K,V_H] :
      ( lhs_atom717(V_X,V_K,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_723,plain,
    ! [V_H,V_K,V_X] :
      ( lhs_atom717(V_X,V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Crypt_0_0,def_lhs_atom717]) ).

fof(def_lhs_atom718,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom718(V_Y,V_X,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_724,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom718(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__HPair_0_0,def_lhs_atom718]) ).

fof(def_lhs_atom719,axiom,
    ! [V_X,V_H] :
      ( lhs_atom719(V_X,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_725,plain,
    ! [V_H,V_X] :
      ( lhs_atom719(V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Hash_0_0,def_lhs_atom719]) ).

fof(def_lhs_atom720,axiom,
    ! [V_K,V_H] :
      ( lhs_atom720(V_K,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_726,plain,
    ! [V_H,V_K] :
      ( lhs_atom720(V_K,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Key_0_0,def_lhs_atom720]) ).

fof(def_lhs_atom721,axiom,
    ! [V_Y,V_X,V_H] :
      ( lhs_atom721(V_Y,V_X,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_727,plain,
    ! [V_H,V_X,V_Y] :
      ( lhs_atom721(V_Y,V_X,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__MPair_0_0,def_lhs_atom721]) ).

fof(def_lhs_atom722,axiom,
    ! [V_N,V_H] :
      ( lhs_atom722(V_N,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_728,plain,
    ! [V_H,V_N] :
      ( lhs_atom722(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Nonce_0_0,def_lhs_atom722]) ).

fof(def_lhs_atom723,axiom,
    ! [V_N,V_H] :
      ( lhs_atom723(V_N,V_H)
    <=> c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_729,plain,
    ! [V_H,V_N] :
      ( lhs_atom723(V_N,V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__insert__Number_0_0,def_lhs_atom723]) ).

fof(def_lhs_atom724,axiom,
    ! [V_H] :
      ( lhs_atom724(V_H)
    <=> c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_730,plain,
    ! [V_H] :
      ( lhs_atom724(V_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Message_Oparts__synth_0_0,def_lhs_atom724]) ).

fof(def_lhs_atom725,axiom,
    ! [V_X,V_K] :
      ( lhs_atom725(V_X,V_K)
    <=> ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_731,plain,
    ! [V_K,V_X] :
      ( lhs_atom725(V_X,V_K)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OCrypt__notin__used__empty_0_0,def_lhs_atom725]) ).

fof(def_lhs_atom726,axiom,
    ! [V_N,V_B] :
      ( lhs_atom726(V_N,V_B)
    <=> ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_732,plain,
    ! [V_B,V_N] :
      ( lhs_atom726(V_N,V_B)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_ONonce__notin__initState_0_0,def_lhs_atom726]) ).

fof(def_lhs_atom727,axiom,
    ! [V_N] :
      ( lhs_atom727(V_N)
    <=> ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_733,plain,
    ! [V_N] :
      ( lhs_atom727(V_N)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_ONonce__notin__used__empty_0_0,def_lhs_atom727]) ).

fof(def_lhs_atom728,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom728(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_734,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom728(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Oanalz__spies__pubK_0_0,def_lhs_atom728]) ).

fof(def_lhs_atom729,axiom,
    ! [V_A] :
      ( lhs_atom729(V_A)
    <=> c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_735,plain,
    ! [V_A] :
      ( lhs_atom729(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OinvKey__shrK_0_0,def_lhs_atom729]) ).

fof(def_lhs_atom730,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom730(V_y,V_f2,T_a)
    <=> c_Public_Okeymode_Okeymode__case(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_736,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom730(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Ocases__1_0_0,def_lhs_atom730]) ).

fof(def_lhs_atom731,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom731(V_y,V_f1,T_a)
    <=> c_Public_Okeymode_Okeymode__case(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_737,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom731(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Ocases__2_0_0,def_lhs_atom731]) ).

fof(def_lhs_atom732,axiom,
    ( lhs_atom732
  <=> c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ),
    inference(definition,[],[]) ).

fof(to_be_clausified_738,plain,
    ( lhs_atom732
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Odistinct__1_0_0,def_lhs_atom732]) ).

fof(def_lhs_atom733,axiom,
    ( lhs_atom733
  <=> c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ),
    inference(definition,[],[]) ).

fof(to_be_clausified_739,plain,
    ( lhs_atom733
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Odistinct__2_0_0,def_lhs_atom733]) ).

fof(def_lhs_atom734,axiom,
    ! [V_y,V_f2,T_a] :
      ( lhs_atom734(V_y,V_f2,T_a)
    <=> c_Public_Okeymode_Okeymode__rec(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_740,plain,
    ! [T_a,V_f2,V_y] :
      ( lhs_atom734(V_y,V_f2,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Orecs__1_0_0,def_lhs_atom734]) ).

fof(def_lhs_atom735,axiom,
    ! [V_y,V_f1,T_a] :
      ( lhs_atom735(V_y,V_f1,T_a)
    <=> c_Public_Okeymode_Okeymode__rec(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_741,plain,
    ! [T_a,V_f1,V_y] :
      ( lhs_atom735(V_y,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Orecs__2_0_0,def_lhs_atom735]) ).

fof(def_lhs_atom736,axiom,
    ( lhs_atom736
  <=> c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_742,plain,
    ( lhs_atom736
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Osize__1_0_0,def_lhs_atom736]) ).

fof(def_lhs_atom737,axiom,
    ( lhs_atom737
  <=> c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_743,plain,
    ( lhs_atom737
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Okeymode_Osize__2_0_0,def_lhs_atom737]) ).

fof(def_lhs_atom738,axiom,
    ! [V_C] :
      ( lhs_atom738(V_C)
    <=> c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C))) = c_emptyset ),
    inference(definition,[],[]) ).

fof(to_be_clausified_744,plain,
    ! [V_C] :
      ( lhs_atom738(V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OkeysFor__parts__initState_0_0,def_lhs_atom738]) ).

fof(def_lhs_atom739,axiom,
    ! [V_b,V_A] :
      ( lhs_atom739(V_b,V_A)
    <=> ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_745,plain,
    ! [V_A,V_b] :
      ( lhs_atom739(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Onot__symKeys__priK_0_0,def_lhs_atom739]) ).

fof(def_lhs_atom740,axiom,
    ! [V_b,V_A] :
      ( lhs_atom740(V_b,V_A)
    <=> ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_746,plain,
    ! [V_A,V_b] :
      ( lhs_atom740(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Onot__symKeys__pubK_0_0,def_lhs_atom740]) ).

fof(def_lhs_atom741,axiom,
    ! [V_B,V_A] :
      ( lhs_atom741(V_B,V_A)
    <=> c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,V_A)) != c_Public_OshrK(V_B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_747,plain,
    ! [V_A,V_B] :
      ( lhs_atom741(V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpriEK__noteq__shrK_0_0,def_lhs_atom741]) ).

fof(def_lhs_atom742,axiom,
    ! [V_b,V_A] :
      ( lhs_atom742(V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_748,plain,
    ! [V_A,V_b] :
      ( lhs_atom742(V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpriK__in__initState_0_0,def_lhs_atom742]) ).

fof(def_lhs_atom743,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom743(V_b,V_C,V_A)
    <=> c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_749,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom743(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpriK__neq__shrK_0_0,def_lhs_atom743]) ).

fof(def_lhs_atom744,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom744(V_c,V_b,V_A_H,V_A)
    <=> c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_750,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom744(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0_0,def_lhs_atom744]) ).

fof(def_lhs_atom745,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom745(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_751,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom745(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OprivateKey__into__used_0_0,def_lhs_atom745]) ).

fof(def_lhs_atom746,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom746(V_b,V_C,V_A)
    <=> c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_752,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom746(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpubK__neq__shrK_0_0,def_lhs_atom746]) ).

fof(def_lhs_atom747,axiom,
    ! [V_b,V_B,V_A] :
      ( lhs_atom747(V_b,V_B,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_753,plain,
    ! [V_A,V_B,V_b] :
      ( lhs_atom747(V_b,V_B,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpublicKey__in__initState_0_0,def_lhs_atom747]) ).

fof(def_lhs_atom748,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom748(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_754,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom748(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpublicKey__into__used_0_0,def_lhs_atom748]) ).

fof(def_lhs_atom749,axiom,
    ! [V_c,V_b,V_A_H,V_A] :
      ( lhs_atom749(V_c,V_b,V_A_H,V_A)
    <=> c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_755,plain,
    ! [V_A,V_A_H,V_b,V_c] :
      ( lhs_atom749(V_c,V_b,V_A_H,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OpublicKey__neq__privateKey_0_0,def_lhs_atom749]) ).

fof(def_lhs_atom750,axiom,
    ! [V_X] :
      ( lhs_atom750(V_X)
    <=> c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_756,plain,
    ! [V_X] :
      ( lhs_atom750(V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0_0,def_lhs_atom750]) ).

fof(def_lhs_atom751,axiom,
    ! [V_A] :
      ( lhs_atom751(V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_757,plain,
    ! [V_A] :
      ( lhs_atom751(V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK__in__initState_0_0,def_lhs_atom751]) ).

fof(def_lhs_atom752,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom752(V_evs,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_758,plain,
    ! [V_A,V_evs] :
      ( lhs_atom752(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK__in__knows_0_0,def_lhs_atom752]) ).

fof(def_lhs_atom753,axiom,
    ! [V_evs,V_A] :
      ( lhs_atom753(V_evs,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_759,plain,
    ! [V_A,V_evs] :
      ( lhs_atom753(V_evs,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK__in__used_0_0,def_lhs_atom753]) ).

fof(def_lhs_atom754,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom754(V_b,V_C,V_A)
    <=> c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_760,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom754(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK__neq__priK_0_0,def_lhs_atom754]) ).

fof(def_lhs_atom755,axiom,
    ! [V_b,V_C,V_A] :
      ( lhs_atom755(V_b,V_C,V_A)
    <=> c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_761,plain,
    ! [V_A,V_C,V_b] :
      ( lhs_atom755(V_b,V_C,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_OshrK__neq__pubK_0_0,def_lhs_atom755]) ).

fof(def_lhs_atom756,axiom,
    ! [V_evs,V_b,V_A] :
      ( lhs_atom756(V_evs,V_b,V_A)
    <=> c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_762,plain,
    ! [V_A,V_b,V_evs] :
      ( lhs_atom756(V_evs,V_b,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Public_Ospies__pubK_0_0,def_lhs_atom756]) ).

fof(def_lhs_atom757,axiom,
    ! [V_evs,V_W,V_V,V_U,V_NB,V_K,V_A] :
      ( lhs_atom757(V_evs,V_W,V_V,V_U,V_NB,V_K,V_A)
    <=> c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_ONonce(V_NB))))),V_W)),V_evs,tc_Event_Oevent)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_763,plain,
    ! [V_A,V_K,V_NB,V_U,V_V,V_W,V_evs] :
      ( lhs_atom757(V_evs,V_W,V_V,V_U,V_NB,V_K,V_A)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Yahalom_OKeyWithNonce__Says_2_0,def_lhs_atom757]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom378(X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_379) ).

fof(c_0_1,axiom,
    ! [X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom377(X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_378) ).

fof(c_0_2,axiom,
    ! [X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom376(X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_377) ).

fof(c_0_3,axiom,
    ! [X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom375(X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_376) ).

fof(c_0_4,axiom,
    ! [X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom374(X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_375) ).

fof(c_0_5,axiom,
    ! [X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom373(X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_374) ).

fof(c_0_6,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom372(X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_373) ).

fof(c_0_7,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom371(X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_372) ).

fof(c_0_8,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3] :
      ( lhs_atom370(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_371) ).

fof(c_0_9,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom369(X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_370) ).

fof(c_0_10,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom368(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_369) ).

fof(c_0_11,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom367(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_368) ).

fof(c_0_12,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3] :
      ( lhs_atom366(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_367) ).

fof(c_0_13,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3] :
      ( lhs_atom365(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_366) ).

fof(c_0_14,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3] :
      ( lhs_atom364(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_365) ).

fof(c_0_15,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3] :
      ( lhs_atom363(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_364) ).

fof(c_0_16,axiom,
    ! [X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom362(X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_363) ).

fof(c_0_17,axiom,
    ! [X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom361(X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_362) ).

fof(c_0_18,axiom,
    ! [X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom360(X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_361) ).

fof(c_0_19,axiom,
    ! [X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom359(X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_360) ).

fof(c_0_20,axiom,
    ! [X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom358(X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_359) ).

fof(c_0_21,axiom,
    ! [X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom357(X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_358) ).

fof(c_0_22,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom356(X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_357) ).

fof(c_0_23,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom355(X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_356) ).

fof(c_0_24,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3] :
      ( lhs_atom354(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_355) ).

fof(c_0_25,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom353(X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_354) ).

fof(c_0_26,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom352(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_353) ).

fof(c_0_27,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3] :
      ( lhs_atom351(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_352) ).

fof(c_0_28,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3] :
      ( lhs_atom350(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_351) ).

fof(c_0_29,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3] :
      ( lhs_atom349(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_350) ).

fof(c_0_30,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3] :
      ( lhs_atom348(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_349) ).

fof(c_0_31,axiom,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3] :
      ( lhs_atom347(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_348) ).

fof(c_0_32,axiom,
    ! [X78,X83,X35,X36,X84,X67,X6] :
      ( lhs_atom757(X78,X83,X35,X36,X84,X67,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_763) ).

fof(c_0_33,axiom,
    ! [X14,X9,X34,X22,X18,X3] :
      ( lhs_atom443(X14,X9,X34,X22,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_449) ).

fof(c_0_34,axiom,
    ! [X30,X14,X5,X9,X18,X3] :
      ( lhs_atom441(X30,X14,X5,X9,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_447) ).

fof(c_0_35,axiom,
    ! [X74,X70,X75,X76,X77] :
      ( lhs_atom673(X74,X70,X75,X76,X77)
      | ~ $true ),
    file('<stdin>',to_be_clausified_679) ).

fof(c_0_36,axiom,
    ! [X74,X70,X75,X76,X77] :
      ( lhs_atom672(X74,X70,X75,X76,X77)
      | ~ $true ),
    file('<stdin>',to_be_clausified_678) ).

fof(c_0_37,axiom,
    ! [X74,X70,X75,X76,X77] :
      ( lhs_atom671(X74,X70,X75,X76,X77)
      | ~ $true ),
    file('<stdin>',to_be_clausified_677) ).

fof(c_0_38,axiom,
    ! [X74,X70,X75,X76,X77] :
      ( lhs_atom670(X74,X70,X75,X76,X77)
      | ~ $true ),
    file('<stdin>',to_be_clausified_676) ).

fof(c_0_39,axiom,
    ! [X30,X14,X5,X9,X3] :
      ( lhs_atom341(X30,X14,X5,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_342) ).

fof(c_0_40,axiom,
    ! [X2,X19,X20,X18,X3] :
      ( lhs_atom198(X2,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_197) ).

fof(c_0_41,axiom,
    ! [X2,X19,X20,X18,X3] :
      ( lhs_atom191(X2,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_190) ).

fof(c_0_42,axiom,
    ! [X10,X19,X20,X18,X3] :
      ( lhs_atom190(X10,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_189) ).

fof(c_0_43,axiom,
    ! [X10,X19,X20,X18,X3] :
      ( lhs_atom189(X10,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_188) ).

fof(c_0_44,axiom,
    ! [X2,X19,X20,X18,X3] :
      ( lhs_atom188(X2,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_187) ).

fof(c_0_45,axiom,
    ! [X10,X19,X20,X18,X3] :
      ( lhs_atom186(X10,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_185) ).

fof(c_0_46,axiom,
    ! [X10,X19,X20,X18,X3] :
      ( lhs_atom180(X10,X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_47,axiom,
    ! [X61,X17,X82,X6] :
      ( lhs_atom749(X61,X17,X82,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_755) ).

fof(c_0_48,axiom,
    ! [X61,X17,X82,X6] :
      ( lhs_atom744(X61,X17,X82,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_750) ).

fof(c_0_49,axiom,
    ! [X68,X80,X66,X67] :
      ( lhs_atom694(X68,X80,X66,X67)
      | ~ $true ),
    file('<stdin>',to_be_clausified_700) ).

fof(c_0_50,axiom,
    ! [X68,X80,X66,X67] :
      ( lhs_atom692(X68,X80,X66,X67)
      | ~ $true ),
    file('<stdin>',to_be_clausified_698) ).

fof(c_0_51,axiom,
    ! [X78,X66,X40,X6] :
      ( lhs_atom684(X78,X66,X40,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_690) ).

fof(c_0_52,axiom,
    ! [X78,X66,X40,X6] :
      ( lhs_atom681(X78,X66,X40,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_687) ).

fof(c_0_53,axiom,
    ! [X74,X70,X75,X69] :
      ( lhs_atom675(X74,X70,X75,X69)
      | ~ $true ),
    file('<stdin>',to_be_clausified_681) ).

fof(c_0_54,axiom,
    ! [X74,X70,X75,X69] :
      ( lhs_atom674(X74,X70,X75,X69)
      | ~ $true ),
    file('<stdin>',to_be_clausified_680) ).

fof(c_0_55,axiom,
    ! [X17,X10,X18,X3] :
      ( lhs_atom625(X17,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_631) ).

fof(c_0_56,axiom,
    ! [X17,X10,X18,X3] :
      ( lhs_atom624(X17,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_630) ).

fof(c_0_57,axiom,
    ! [X10,X40,X6,X3] :
      ( lhs_atom619(X10,X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_625) ).

fof(c_0_58,axiom,
    ! [X10,X40,X6,X3] :
      ( lhs_atom605(X10,X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_611) ).

fof(c_0_59,axiom,
    ! [X10,X60,X40,X3] :
      ( lhs_atom604(X10,X60,X40,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_610) ).

fof(c_0_60,axiom,
    ! [X14,X10,X18,X3] :
      ( lhs_atom535(X14,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_541) ).

fof(c_0_61,axiom,
    ! [X14,X17,X18,X3] :
      ( lhs_atom533(X14,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_539) ).

fof(c_0_62,axiom,
    ! [X5,X4,X1,X3] :
      ( lhs_atom435(X5,X4,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_441) ).

fof(c_0_63,axiom,
    ! [X9,X2,X22,X3] :
      ( lhs_atom434(X9,X2,X22,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_440) ).

fof(c_0_64,axiom,
    ! [X30,X5,X4,X3] :
      ( lhs_atom431(X30,X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_437) ).

fof(c_0_65,axiom,
    ! [X5,X9,X4,X3] :
      ( lhs_atom430(X5,X9,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_436) ).

fof(c_0_66,axiom,
    ! [X30,X5,X9,X15] :
      ( lhs_atom402(X30,X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_403) ).

fof(c_0_67,axiom,
    ! [X30,X5,X4,X3] :
      ( lhs_atom399(X30,X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_400) ).

fof(c_0_68,axiom,
    ! [X30,X14,X5,X3] :
      ( lhs_atom398(X30,X14,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_399) ).

fof(c_0_69,axiom,
    ! [X5,X9,X4,X3] :
      ( lhs_atom397(X5,X9,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_398) ).

fof(c_0_70,axiom,
    ! [X11,X35,X36,X3] :
      ( lhs_atom334(X11,X35,X36,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_335) ).

fof(c_0_71,axiom,
    ! [X30,X5,X18,X3] :
      ( lhs_atom332(X30,X5,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_333) ).

fof(c_0_72,axiom,
    ! [X5,X9,X22,X3] :
      ( lhs_atom324(X5,X9,X22,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_325) ).

fof(c_0_73,axiom,
    ! [X30,X5,X9,X15] :
      ( lhs_atom315(X30,X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_316) ).

fof(c_0_74,axiom,
    ! [X9,X2,X22,X3] :
      ( lhs_atom310(X9,X2,X22,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_311) ).

fof(c_0_75,axiom,
    ! [X5,X4,X1,X3] :
      ( lhs_atom309(X5,X4,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_310) ).

fof(c_0_76,axiom,
    ! [X30,X5,X4,X3] :
      ( lhs_atom308(X30,X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_309) ).

fof(c_0_77,axiom,
    ! [X5,X9,X4,X3] :
      ( lhs_atom307(X5,X9,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_308) ).

fof(c_0_78,axiom,
    ! [X31,X30,X5,X3] :
      ( lhs_atom292(X31,X30,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_292) ).

fof(c_0_79,axiom,
    ! [X2,X22,X18,X3] :
      ( lhs_atom197(X2,X22,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_196) ).

fof(c_0_80,axiom,
    ! [X2,X10,X18,X3] :
      ( lhs_atom196(X2,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_195) ).

fof(c_0_81,axiom,
    ! [X2,X20,X18,X3] :
      ( lhs_atom195(X2,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_194) ).

fof(c_0_82,axiom,
    ! [X2,X20,X18,X3] :
      ( lhs_atom194(X2,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_193) ).

fof(c_0_83,axiom,
    ! [X2,X10,X18,X3] :
      ( lhs_atom193(X2,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_192) ).

fof(c_0_84,axiom,
    ! [X2,X10,X18,X3] :
      ( lhs_atom187(X2,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_186) ).

fof(c_0_85,axiom,
    ! [X2,X10,X18,X3] :
      ( lhs_atom185(X2,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_184) ).

fof(c_0_86,axiom,
    ! [X19,X20,X18,X3] :
      ( lhs_atom184(X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_183) ).

fof(c_0_87,axiom,
    ! [X19,X20,X18,X3] :
      ( lhs_atom183(X19,X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_182) ).

fof(c_0_88,axiom,
    ! [X21,X11,X18,X3] :
      ( lhs_atom182(X21,X11,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_181) ).

fof(c_0_89,axiom,
    ! [X21,X11,X18,X3] :
      ( lhs_atom181(X21,X11,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_90,axiom,
    ! [X17,X10,X18,X3] :
      ( lhs_atom173(X17,X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_91,axiom,
    ! [X4,X1] :
      ( lhs_atom482(X4,X1)
      | c_times(X1,c_0,tc_nat) = c_times(X4,c_0,tc_nat) ),
    file('<stdin>',to_be_clausified_488) ).

fof(c_0_92,axiom,
    ! [X4,X1] :
      ( lhs_atom481(X4,X1)
      | c_times(c_0,X1,tc_nat) = c_times(c_0,X4,tc_nat) ),
    file('<stdin>',to_be_clausified_487) ).

fof(c_0_93,axiom,
    ! [X78,X17,X6] :
      ( lhs_atom756(X78,X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_762) ).

fof(c_0_94,axiom,
    ! [X17,X60,X6] :
      ( lhs_atom755(X17,X60,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_761) ).

fof(c_0_95,axiom,
    ! [X17,X60,X6] :
      ( lhs_atom754(X17,X60,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_760) ).

fof(c_0_96,axiom,
    ! [X78,X17,X6] :
      ( lhs_atom748(X78,X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_754) ).

fof(c_0_97,axiom,
    ! [X17,X40,X6] :
      ( lhs_atom747(X17,X40,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_753) ).

fof(c_0_98,axiom,
    ! [X17,X60,X6] :
      ( lhs_atom746(X17,X60,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_752) ).

fof(c_0_99,axiom,
    ! [X78,X17,X6] :
      ( lhs_atom745(X78,X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_751) ).

fof(c_0_100,axiom,
    ! [X17,X60,X6] :
      ( lhs_atom743(X17,X60,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_749) ).

fof(c_0_101,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom735(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_741) ).

fof(c_0_102,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom734(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_740) ).

fof(c_0_103,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom731(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_737) ).

fof(c_0_104,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom730(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_736) ).

fof(c_0_105,axiom,
    ! [X78,X17,X6] :
      ( lhs_atom728(X78,X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_734) ).

fof(c_0_106,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom721(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_727) ).

fof(c_0_107,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom718(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_724) ).

fof(c_0_108,axiom,
    ! [X66,X67,X65] :
      ( lhs_atom717(X66,X67,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_723) ).

fof(c_0_109,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom713(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_719) ).

fof(c_0_110,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom707(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_713) ).

fof(c_0_111,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom705(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_711) ).

fof(c_0_112,axiom,
    ! [X68,X66,X19] :
      ( lhs_atom698(X68,X66,X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_704) ).

fof(c_0_113,axiom,
    ! [X68,X66,X19] :
      ( lhs_atom697(X68,X66,X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_703) ).

fof(c_0_114,axiom,
    ! [X68,X66,X67] :
      ( lhs_atom696(X68,X66,X67)
      | ~ $true ),
    file('<stdin>',to_be_clausified_702) ).

fof(c_0_115,axiom,
    ! [X79,X68,X66] :
      ( lhs_atom695(X79,X68,X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_701) ).

fof(c_0_116,axiom,
    ! [X68,X66,X6] :
      ( lhs_atom693(X68,X66,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_699) ).

fof(c_0_117,axiom,
    ! [X79,X68,X66] :
      ( lhs_atom691(X79,X68,X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_697) ).

fof(c_0_118,axiom,
    ! [X68,X66,X67] :
      ( lhs_atom690(X68,X66,X67)
      | ~ $true ),
    file('<stdin>',to_be_clausified_696) ).

fof(c_0_119,axiom,
    ! [X68,X66,X19] :
      ( lhs_atom689(X68,X66,X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_695) ).

fof(c_0_120,axiom,
    ! [X68,X66,X19] :
      ( lhs_atom688(X68,X66,X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_694) ).

fof(c_0_121,axiom,
    ! [X68,X66,X6] :
      ( lhs_atom687(X68,X66,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_693) ).

fof(c_0_122,axiom,
    ! [X78,X66,X6] :
      ( lhs_atom683(X78,X66,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_689) ).

fof(c_0_123,axiom,
    ! [X78,X66,X6] :
      ( lhs_atom682(X78,X66,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_688) ).

fof(c_0_124,axiom,
    ! [X78,X66,X6] :
      ( lhs_atom680(X78,X66,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_686) ).

fof(c_0_125,axiom,
    ! [X70,X76,X77] :
      ( lhs_atom676(X70,X76,X77)
      | ~ $true ),
    file('<stdin>',to_be_clausified_682) ).

fof(c_0_126,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom667(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_673) ).

fof(c_0_127,axiom,
    ! [X68,X66,X65] :
      ( lhs_atom654(X68,X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_660) ).

fof(c_0_128,axiom,
    ! [X66,X67,X65] :
      ( lhs_atom651(X66,X67,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_657) ).

fof(c_0_129,axiom,
    ! [X10,X6,X3] :
      ( lhs_atom620(X10,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_626) ).

fof(c_0_130,axiom,
    ! [X9,X6,X3] :
      ( lhs_atom618(X9,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_624) ).

fof(c_0_131,axiom,
    ! [X9,X6,X3] :
      ( lhs_atom617(X9,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_623) ).

fof(c_0_132,axiom,
    ! [X10,X6,X3] :
      ( lhs_atom616(X10,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_622) ).

fof(c_0_133,axiom,
    ! [X10,X6,X3] :
      ( lhs_atom615(X10,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_621) ).

fof(c_0_134,axiom,
    ! [X10,X40,X3] :
      ( lhs_atom610(X10,X40,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_616) ).

fof(c_0_135,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom608(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_614) ).

fof(c_0_136,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom597(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_603) ).

fof(c_0_137,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom596(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_602) ).

fof(c_0_138,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom592(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_598) ).

fof(c_0_139,axiom,
    ! [X10,X40,X3] :
      ( lhs_atom591(X10,X40,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_597) ).

fof(c_0_140,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom582(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_588) ).

fof(c_0_141,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom580(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_586) ).

fof(c_0_142,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom577(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_583) ).

fof(c_0_143,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom573(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_579) ).

fof(c_0_144,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom571(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_577) ).

fof(c_0_145,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom570(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_576) ).

fof(c_0_146,axiom,
    ! [X4,X59,X15] :
      ( lhs_atom555(X4,X59,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_561) ).

fof(c_0_147,axiom,
    ! [X14,X18,X3] :
      ( lhs_atom549(X14,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_555) ).

fof(c_0_148,axiom,
    ! [X14,X18,X3] :
      ( lhs_atom544(X14,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_550) ).

fof(c_0_149,axiom,
    ! [X59,X18,X3] :
      ( lhs_atom543(X59,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_549) ).

fof(c_0_150,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom542(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_548) ).

fof(c_0_151,axiom,
    ! [X14,X18,X3] :
      ( lhs_atom540(X14,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_546) ).

fof(c_0_152,axiom,
    ! [X25,X18,X3] :
      ( lhs_atom536(X25,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_542) ).

fof(c_0_153,axiom,
    ! [X14,X18,X3] :
      ( lhs_atom534(X14,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_540) ).

fof(c_0_154,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom524(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_530) ).

fof(c_0_155,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom523(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_529) ).

fof(c_0_156,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom520(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_526) ).

fof(c_0_157,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom519(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_525) ).

fof(c_0_158,axiom,
    ! [X14,X26,X29] :
      ( lhs_atom496(X14,X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_502) ).

fof(c_0_159,axiom,
    ! [X2,X34,X22] :
      ( lhs_atom467(X2,X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_473) ).

fof(c_0_160,axiom,
    ! [X4,X1,X2] :
      ( lhs_atom459(X4,X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_465) ).

fof(c_0_161,axiom,
    ! [X30,X18,X3] :
      ( lhs_atom442(X30,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_448) ).

fof(c_0_162,axiom,
    ! [X5,X57,X15] :
      ( lhs_atom440(X5,X57,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_446) ).

fof(c_0_163,axiom,
    ! [X9,X56,X3] :
      ( lhs_atom439(X9,X56,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_445) ).

fof(c_0_164,axiom,
    ! [X14,X9,X15] :
      ( lhs_atom437(X14,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_443) ).

fof(c_0_165,axiom,
    ! [X4,X8,X3] :
      ( lhs_atom429(X4,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_435) ).

fof(c_0_166,axiom,
    ! [X5,X4,X3] :
      ( lhs_atom425(X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_431) ).

fof(c_0_167,axiom,
    ! [X30,X5,X3] :
      ( lhs_atom420(X30,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_425) ).

fof(c_0_168,axiom,
    ! [X5,X9,X15] :
      ( lhs_atom419(X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_424) ).

fof(c_0_169,axiom,
    ! [X5,X4,X3] :
      ( lhs_atom417(X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_420) ).

fof(c_0_170,axiom,
    ! [X9,X4,X3] :
      ( lhs_atom413(X9,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_416) ).

fof(c_0_171,axiom,
    ! [X30,X14,X3] :
      ( lhs_atom412(X30,X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_414) ).

fof(c_0_172,axiom,
    ! [X30,X5,X3] :
      ( lhs_atom411(X30,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_413) ).

fof(c_0_173,axiom,
    ! [X5,X9,X15] :
      ( lhs_atom410(X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_412) ).

fof(c_0_174,axiom,
    ! [X9,X4,X15] :
      ( lhs_atom409(X9,X4,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_411) ).

fof(c_0_175,axiom,
    ! [X5,X9,X3] :
      ( lhs_atom407(X5,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_409) ).

fof(c_0_176,axiom,
    ! [X30,X9,X3] :
      ( lhs_atom404(X30,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_405) ).

fof(c_0_177,axiom,
    ! [X5,X9,X15] :
      ( lhs_atom401(X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_402) ).

fof(c_0_178,axiom,
    ! [X14,X5,X3] :
      ( lhs_atom396(X14,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_397) ).

fof(c_0_179,axiom,
    ! [X5,X9,X3] :
      ( lhs_atom395(X5,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_396) ).

fof(c_0_180,axiom,
    ! [X41,X6,X15] :
      ( lhs_atom346(X41,X6,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_347) ).

fof(c_0_181,axiom,
    ! [X40,X6,X3] :
      ( lhs_atom343(X40,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_344) ).

fof(c_0_182,axiom,
    ! [X29,X22,X15] :
      ( lhs_atom340(X29,X22,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_341) ).

fof(c_0_183,axiom,
    ! [X38,X10,X3] :
      ( lhs_atom338(X38,X10,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_339) ).

fof(c_0_184,axiom,
    ! [X37,X16,X3] :
      ( lhs_atom337(X37,X16,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_338) ).

fof(c_0_185,axiom,
    ! [X37,X16,X3] :
      ( lhs_atom336(X37,X16,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_337) ).

fof(c_0_186,axiom,
    ! [X9,X11,X3] :
      ( lhs_atom335(X9,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_336) ).

fof(c_0_187,axiom,
    ! [X5,X4,X3] :
      ( lhs_atom329(X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_330) ).

fof(c_0_188,axiom,
    ! [X5,X4,X3] :
      ( lhs_atom328(X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_329) ).

fof(c_0_189,axiom,
    ! [X14,X9,X3] :
      ( lhs_atom325(X14,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_326) ).

fof(c_0_190,axiom,
    ! [X5,X4,X3] :
      ( lhs_atom322(X5,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_323) ).

fof(c_0_191,axiom,
    ! [X30,X5,X3] :
      ( lhs_atom320(X30,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_321) ).

fof(c_0_192,axiom,
    ! [X14,X5,X3] :
      ( lhs_atom318(X14,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_319) ).

fof(c_0_193,axiom,
    ! [X5,X9,X3] :
      ( lhs_atom313(X5,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_314) ).

fof(c_0_194,axiom,
    ! [X14,X5,X3] :
      ( lhs_atom312(X14,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_313) ).

fof(c_0_195,axiom,
    ! [X1,X34,X22] :
      ( lhs_atom311(X1,X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_312) ).

fof(c_0_196,axiom,
    ! [X30,X5,X3] :
      ( lhs_atom302(X30,X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_303) ).

fof(c_0_197,axiom,
    ! [X5,X9,X15] :
      ( lhs_atom301(X5,X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_302) ).

fof(c_0_198,axiom,
    ! [X14,X9,X3] :
      ( lhs_atom298(X14,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_299) ).

fof(c_0_199,axiom,
    ! [X14,X4,X3] :
      ( lhs_atom295(X14,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_296) ).

fof(c_0_200,axiom,
    ! [X30,X11,X3] :
      ( lhs_atom291(X30,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_291) ).

fof(c_0_201,axiom,
    ! [X5,X11,X3] :
      ( lhs_atom288(X5,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_288) ).

fof(c_0_202,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom226(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_226) ).

fof(c_0_203,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom225(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_225) ).

fof(c_0_204,axiom,
    ! [X14,X24,X3] :
      ( lhs_atom222(X14,X24,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_222) ).

fof(c_0_205,axiom,
    ! [X14,X23,X3] :
      ( lhs_atom221(X14,X23,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_221) ).

fof(c_0_206,axiom,
    ! [X4,X1,X2] :
      ( lhs_atom215(X4,X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_214) ).

fof(c_0_207,axiom,
    ! [X4,X1,X2] :
      ( lhs_atom213(X4,X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_212) ).

fof(c_0_208,axiom,
    ! [X20,X18,X3] :
      ( lhs_atom200(X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_199) ).

fof(c_0_209,axiom,
    ! [X20,X18,X3] :
      ( lhs_atom199(X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_198) ).

fof(c_0_210,axiom,
    ! [X20,X18,X3] :
      ( lhs_atom192(X20,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_191) ).

fof(c_0_211,axiom,
    ! [X17,X18,X3] :
      ( lhs_atom175(X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_212,axiom,
    ! [X10,X18,X3] :
      ( lhs_atom174(X10,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_213,axiom,
    ! [X11,X10,X3] :
      ( lhs_atom36(X11,X10,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_214,axiom,
    ! [X78,X6] :
      ( lhs_atom753(X78,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_759) ).

fof(c_0_215,axiom,
    ! [X78,X6] :
      ( lhs_atom752(X78,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_758) ).

fof(c_0_216,axiom,
    ! [X17,X6] :
      ( lhs_atom742(X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_748) ).

fof(c_0_217,axiom,
    ! [X40,X6] :
      ( lhs_atom741(X40,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_747) ).

fof(c_0_218,axiom,
    ! [X17,X6] :
      ( lhs_atom740(X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_746) ).

fof(c_0_219,axiom,
    ! [X17,X6] :
      ( lhs_atom739(X17,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_745) ).

fof(c_0_220,axiom,
    ! [X19,X40] :
      ( lhs_atom726(X19,X40)
      | ~ $true ),
    file('<stdin>',to_be_clausified_732) ).

fof(c_0_221,axiom,
    ! [X66,X67] :
      ( lhs_atom725(X66,X67)
      | ~ $true ),
    file('<stdin>',to_be_clausified_731) ).

fof(c_0_222,axiom,
    ! [X19,X65] :
      ( lhs_atom723(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_729) ).

fof(c_0_223,axiom,
    ! [X19,X65] :
      ( lhs_atom722(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_728) ).

fof(c_0_224,axiom,
    ! [X67,X65] :
      ( lhs_atom720(X67,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_726) ).

fof(c_0_225,axiom,
    ! [X66,X65] :
      ( lhs_atom719(X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_725) ).

fof(c_0_226,axiom,
    ! [X81,X65] :
      ( lhs_atom716(X81,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_722) ).

fof(c_0_227,axiom,
    ! [X65,X73] :
      ( lhs_atom712(X65,X73)
      | ~ $true ),
    file('<stdin>',to_be_clausified_718) ).

fof(c_0_228,axiom,
    ! [X19,X65] :
      ( lhs_atom709(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_715) ).

fof(c_0_229,axiom,
    ! [X19,X65] :
      ( lhs_atom708(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_714) ).

fof(c_0_230,axiom,
    ! [X66,X65] :
      ( lhs_atom706(X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_712) ).

fof(c_0_231,axiom,
    ! [X81,X65] :
      ( lhs_atom704(X81,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_710) ).

fof(c_0_232,axiom,
    ! [X65,X73] :
      ( lhs_atom701(X65,X73)
      | ~ $true ),
    file('<stdin>',to_be_clausified_707) ).

fof(c_0_233,axiom,
    ! [X4,X65] :
      ( lhs_atom700(X4,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_706) ).

fof(c_0_234,axiom,
    ! [X9,X66] :
      ( lhs_atom699(X9,X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_705) ).

fof(c_0_235,axiom,
    ! [X9,X66] :
      ( lhs_atom686(X9,X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_692) ).

fof(c_0_236,axiom,
    ! [X65,X6] :
      ( lhs_atom685(X65,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_691) ).

fof(c_0_237,axiom,
    ! [X70,X69] :
      ( lhs_atom678(X70,X69)
      | ~ $true ),
    file('<stdin>',to_be_clausified_684) ).

fof(c_0_238,axiom,
    ! [X70,X69] :
      ( lhs_atom677(X70,X69)
      | ~ $true ),
    file('<stdin>',to_be_clausified_683) ).

fof(c_0_239,axiom,
    ! [X65,X73] :
      ( lhs_atom664(X65,X73)
      | ~ $true ),
    file('<stdin>',to_be_clausified_670) ).

fof(c_0_240,axiom,
    ! [X63,X70] :
      ( lhs_atom663(X63,X70)
      | ~ $true ),
    file('<stdin>',to_be_clausified_669) ).

fof(c_0_241,axiom,
    ! [X71,X72] :
      ( lhs_atom662(X71,X72)
      | ~ $true ),
    file('<stdin>',to_be_clausified_668) ).

fof(c_0_242,axiom,
    ! [X19,X65] :
      ( lhs_atom656(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_662) ).

fof(c_0_243,axiom,
    ! [X19,X65] :
      ( lhs_atom655(X19,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_661) ).

fof(c_0_244,axiom,
    ! [X67,X65] :
      ( lhs_atom653(X67,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_659) ).

fof(c_0_245,axiom,
    ! [X66,X65] :
      ( lhs_atom652(X66,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_658) ).

fof(c_0_246,axiom,
    ! [X65,X6] :
      ( lhs_atom650(X65,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_656) ).

fof(c_0_247,axiom,
    ! [X64,X65] :
      ( lhs_atom648(X64,X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_654) ).

fof(c_0_248,axiom,
    ! [X11,X3] :
      ( lhs_atom637(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_643) ).

fof(c_0_249,axiom,
    ! [X11,X3] :
      ( lhs_atom636(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_642) ).

fof(c_0_250,axiom,
    ! [X11,X3] :
      ( lhs_atom634(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_640) ).

fof(c_0_251,axiom,
    ! [X59,X3] :
      ( lhs_atom633(X59,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_639) ).

fof(c_0_252,axiom,
    ! [X59,X3] :
      ( lhs_atom632(X59,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_638) ).

fof(c_0_253,axiom,
    ! [X11,X3] :
      ( lhs_atom631(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_637) ).

fof(c_0_254,axiom,
    ! [X11,X3] :
      ( lhs_atom629(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_635) ).

fof(c_0_255,axiom,
    ! [X59,X3] :
      ( lhs_atom628(X59,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_634) ).

fof(c_0_256,axiom,
    ! [X59,X3] :
      ( lhs_atom627(X59,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_633) ).

fof(c_0_257,axiom,
    ! [X18,X3] :
      ( lhs_atom626(X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_632) ).

fof(c_0_258,axiom,
    ! [X6,X3] :
      ( lhs_atom622(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_628) ).

fof(c_0_259,axiom,
    ! [X6,X3] :
      ( lhs_atom621(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_627) ).

fof(c_0_260,axiom,
    ! [X61,X3] :
      ( lhs_atom614(X61,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_620) ).

fof(c_0_261,axiom,
    ! [X6,X3] :
      ( lhs_atom613(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_619) ).

fof(c_0_262,axiom,
    ! [X14,X3] :
      ( lhs_atom612(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_618) ).

fof(c_0_263,axiom,
    ! [X14,X3] :
      ( lhs_atom611(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_617) ).

fof(c_0_264,axiom,
    ! [X14,X3] :
      ( lhs_atom606(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_612) ).

fof(c_0_265,axiom,
    ! [X14,X3] :
      ( lhs_atom603(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_609) ).

fof(c_0_266,axiom,
    ! [X14,X3] :
      ( lhs_atom602(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_608) ).

fof(c_0_267,axiom,
    ! [X14,X3] :
      ( lhs_atom600(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_606) ).

fof(c_0_268,axiom,
    ! [X6,X3] :
      ( lhs_atom599(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_605) ).

fof(c_0_269,axiom,
    ! [X40,X3] :
      ( lhs_atom598(X40,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_604) ).

fof(c_0_270,axiom,
    ! [X6,X3] :
      ( lhs_atom588(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_594) ).

fof(c_0_271,axiom,
    ! [X40,X3] :
      ( lhs_atom587(X40,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_593) ).

fof(c_0_272,axiom,
    ! [X14,X3] :
      ( lhs_atom586(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_592) ).

fof(c_0_273,axiom,
    ! [X14,X3] :
      ( lhs_atom585(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_591) ).

fof(c_0_274,axiom,
    ! [X14,X3] :
      ( lhs_atom584(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_590) ).

fof(c_0_275,axiom,
    ! [X14,X3] :
      ( lhs_atom581(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_587) ).

fof(c_0_276,axiom,
    ! [X6,X3] :
      ( lhs_atom579(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_585) ).

fof(c_0_277,axiom,
    ! [X6,X3] :
      ( lhs_atom578(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_584) ).

fof(c_0_278,axiom,
    ! [X6,X3] :
      ( lhs_atom575(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_581) ).

fof(c_0_279,axiom,
    ! [X6,X3] :
      ( lhs_atom574(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_580) ).

fof(c_0_280,axiom,
    ! [X7,X8] :
      ( lhs_atom567(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_573) ).

fof(c_0_281,axiom,
    ! [X7,X8] :
      ( lhs_atom566(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_572) ).

fof(c_0_282,axiom,
    ! [X7,X8] :
      ( lhs_atom565(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_571) ).

fof(c_0_283,axiom,
    ! [X7,X8] :
      ( lhs_atom564(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_570) ).

fof(c_0_284,axiom,
    ! [X7,X8] :
      ( lhs_atom562(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_568) ).

fof(c_0_285,axiom,
    ! [X7,X8] :
      ( lhs_atom561(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_567) ).

fof(c_0_286,axiom,
    ! [X7,X8] :
      ( lhs_atom560(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_566) ).

fof(c_0_287,axiom,
    ! [X7,X8] :
      ( lhs_atom559(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_565) ).

fof(c_0_288,axiom,
    ! [X59,X15] :
      ( lhs_atom554(X59,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_560) ).

fof(c_0_289,axiom,
    ! [X14,X3] :
      ( lhs_atom553(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_559) ).

fof(c_0_290,axiom,
    ! [X9,X3] :
      ( lhs_atom552(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_558) ).

fof(c_0_291,axiom,
    ! [X6,X3] :
      ( lhs_atom550(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_556) ).

fof(c_0_292,axiom,
    ! [X18,X3] :
      ( lhs_atom547(X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_553) ).

fof(c_0_293,axiom,
    ! [X14,X3] :
      ( lhs_atom546(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_552) ).

fof(c_0_294,axiom,
    ! [X14,X3] :
      ( lhs_atom541(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_547) ).

fof(c_0_295,axiom,
    ! [X18,X3] :
      ( lhs_atom539(X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_545) ).

fof(c_0_296,axiom,
    ! [X14,X3] :
      ( lhs_atom538(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_544) ).

fof(c_0_297,axiom,
    ! [X28,X4] :
      ( lhs_atom532(X28,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_538) ).

fof(c_0_298,axiom,
    ! [X26,X29] :
      ( lhs_atom508(X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_514) ).

fof(c_0_299,axiom,
    ! [X26,X29] :
      ( lhs_atom507(X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_513) ).

fof(c_0_300,axiom,
    ! [X26,X29] :
      ( lhs_atom498(X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_504) ).

fof(c_0_301,axiom,
    ! [X26,X29] :
      ( lhs_atom497(X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_503) ).

fof(c_0_302,axiom,
    ! [X4,X1] :
      ( lhs_atom492(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_498) ).

fof(c_0_303,axiom,
    ! [X4,X1] :
      ( lhs_atom490(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_496) ).

fof(c_0_304,axiom,
    ! [X34,X22] :
      ( lhs_atom485(X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_491) ).

fof(c_0_305,axiom,
    ! [X34,X22] :
      ( lhs_atom484(X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_490) ).

fof(c_0_306,axiom,
    ! [X4,X1] :
      ( lhs_atom480(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_486) ).

fof(c_0_307,axiom,
    ! [X4,X1] :
      ( lhs_atom478(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_484) ).

fof(c_0_308,axiom,
    ! [X4,X1] :
      ( lhs_atom475(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_481) ).

fof(c_0_309,axiom,
    ! [X4,X1] :
      ( lhs_atom468(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_474) ).

fof(c_0_310,axiom,
    ! [X4,X1] :
      ( lhs_atom466(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_472) ).

fof(c_0_311,axiom,
    ! [X4,X1] :
      ( lhs_atom463(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_469) ).

fof(c_0_312,axiom,
    ! [X4,X1] :
      ( lhs_atom457(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_463) ).

fof(c_0_313,axiom,
    ! [X4,X1] :
      ( lhs_atom455(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_461) ).

fof(c_0_314,axiom,
    ! [X29,X1] :
      ( lhs_atom450(X29,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_456) ).

fof(c_0_315,axiom,
    ! [X29,X1] :
      ( lhs_atom449(X29,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_455) ).

fof(c_0_316,axiom,
    ! [X4,X1] :
      ( lhs_atom444(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_450) ).

fof(c_0_317,axiom,
    ! [X4,X3] :
      ( lhs_atom433(X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_439) ).

fof(c_0_318,axiom,
    ! [X5,X3] :
      ( lhs_atom432(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_438) ).

fof(c_0_319,axiom,
    ! [X6,X3] :
      ( lhs_atom428(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_434) ).

fof(c_0_320,axiom,
    ! [X5,X3] :
      ( lhs_atom427(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_433) ).

fof(c_0_321,axiom,
    ! [X9,X3] :
      ( lhs_atom426(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_432) ).

fof(c_0_322,axiom,
    ! [X5,X3] :
      ( lhs_atom424(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_430) ).

fof(c_0_323,axiom,
    ! [X5,X3] :
      ( lhs_atom423(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_429) ).

fof(c_0_324,axiom,
    ! [X5,X3] :
      ( lhs_atom422(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_428) ).

fof(c_0_325,axiom,
    ! [X5,X3] :
      ( lhs_atom294(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_423) ).

fof(c_0_326,axiom,
    ! [X30,X3] :
      ( lhs_atom293(X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_422) ).

fof(c_0_327,axiom,
    ! [X4,X3] :
      ( lhs_atom418(X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_421) ).

fof(c_0_328,axiom,
    ! [X9,X3] :
      ( lhs_atom415(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_418) ).

fof(c_0_329,axiom,
    ! [X14,X3] :
      ( lhs_atom414(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_417) ).

fof(c_0_330,axiom,
    ! [X9,X15] :
      ( lhs_atom408(X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_410) ).

fof(c_0_331,axiom,
    ! [X9,X15] :
      ( lhs_atom406(X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_408) ).

fof(c_0_332,axiom,
    ! [X9,X15] :
      ( lhs_atom403(X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_404) ).

fof(c_0_333,axiom,
    ! [X11,X3] :
      ( lhs_atom342(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_343) ).

fof(c_0_334,axiom,
    ! [X39,X15] :
      ( lhs_atom339(X39,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_340) ).

fof(c_0_335,axiom,
    ! [X11,X15] :
      ( lhs_atom333(X11,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_334) ).

fof(c_0_336,axiom,
    ! [X34,X22] :
      ( lhs_atom331(X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_332) ).

fof(c_0_337,axiom,
    ! [X5,X3] :
      ( lhs_atom330(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_331) ).

fof(c_0_338,axiom,
    ! [X5,X3] :
      ( lhs_atom327(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_328) ).

fof(c_0_339,axiom,
    ! [X5,X3] :
      ( lhs_atom326(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_327) ).

fof(c_0_340,axiom,
    ! [X5,X3] :
      ( lhs_atom321(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_322) ).

fof(c_0_341,axiom,
    ! [X5,X3] :
      ( lhs_atom317(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_318) ).

fof(c_0_342,axiom,
    ! [X9,X3] :
      ( lhs_atom316(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_317) ).

fof(c_0_343,axiom,
    ! [X14,X15] :
      ( lhs_atom314(X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_315) ).

fof(c_0_344,axiom,
    ! [X14,X3] :
      ( lhs_atom306(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_307) ).

fof(c_0_345,axiom,
    ! [X4,X15] :
      ( lhs_atom305(X4,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_306) ).

fof(c_0_346,axiom,
    ! [X34,X22] :
      ( lhs_atom304(X34,X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_305) ).

fof(c_0_347,axiom,
    ! [X32,X33] :
      ( lhs_atom299(X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_300) ).

fof(c_0_348,axiom,
    ! [X9,X15] :
      ( lhs_atom297(X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_298) ).

fof(c_0_349,axiom,
    ! [X5,X3] :
      ( lhs_atom294(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_295) ).

fof(c_0_350,axiom,
    ! [X30,X3] :
      ( lhs_atom293(X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_294) ).

fof(c_0_351,axiom,
    ! [X17,X10] :
      ( lhs_atom287(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_287) ).

fof(c_0_352,axiom,
    ! [X17,X10] :
      ( lhs_atom286(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_286) ).

fof(c_0_353,axiom,
    ! [X17,X10] :
      ( lhs_atom285(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_285) ).

fof(c_0_354,axiom,
    ! [X17,X10] :
      ( lhs_atom283(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_283) ).

fof(c_0_355,axiom,
    ! [X17,X10] :
      ( lhs_atom282(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_282) ).

fof(c_0_356,axiom,
    ! [X9,X4] :
      ( lhs_atom277(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_277) ).

fof(c_0_357,axiom,
    ! [X17,X10] :
      ( lhs_atom274(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_274) ).

fof(c_0_358,axiom,
    ! [X26,X29] :
      ( lhs_atom272(X26,X29)
      | ~ $true ),
    file('<stdin>',to_be_clausified_272) ).

fof(c_0_359,axiom,
    ! [X28,X4] :
      ( lhs_atom269(X28,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_269) ).

fof(c_0_360,axiom,
    ! [X11,X27] :
      ( lhs_atom266(X11,X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_266) ).

fof(c_0_361,axiom,
    ! [X17,X10] :
      ( lhs_atom264(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_264) ).

fof(c_0_362,axiom,
    ! [X17,X10] :
      ( lhs_atom263(X17,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_263) ).

fof(c_0_363,axiom,
    ! [X4,X1] :
      ( lhs_atom258(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_258) ).

fof(c_0_364,axiom,
    ! [X14,X9] :
      ( lhs_atom252(X14,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_252) ).

fof(c_0_365,axiom,
    ! [X25,X26] :
      ( lhs_atom243(X25,X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_243) ).

fof(c_0_366,axiom,
    ! [X14,X4] :
      ( lhs_atom239(X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_239) ).

fof(c_0_367,axiom,
    ! [X4,X1] :
      ( lhs_atom238(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_238) ).

fof(c_0_368,axiom,
    ! [X4,X1] :
      ( lhs_atom237(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_237) ).

fof(c_0_369,axiom,
    ! [X4,X1] :
      ( lhs_atom236(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_236) ).

fof(c_0_370,axiom,
    ! [X14,X3] :
      ( lhs_atom231(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_231) ).

fof(c_0_371,axiom,
    ! [X11,X3] :
      ( lhs_atom220(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_220) ).

fof(c_0_372,axiom,
    ! [X11,X3] :
      ( lhs_atom220(X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_219) ).

fof(c_0_373,axiom,
    ! [X4,X1] :
      ( lhs_atom219(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_218) ).

fof(c_0_374,axiom,
    ! [X4,X1] :
      ( lhs_atom218(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_217) ).

fof(c_0_375,axiom,
    ! [X4,X1] :
      ( lhs_atom216(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_215) ).

fof(c_0_376,axiom,
    ! [X4,X1] :
      ( lhs_atom214(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_213) ).

fof(c_0_377,axiom,
    ! [X4,X1] :
      ( lhs_atom212(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_211) ).

fof(c_0_378,axiom,
    ! [X4,X1] :
      ( lhs_atom211(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_210) ).

fof(c_0_379,axiom,
    ! [X4,X1] :
      ( lhs_atom205(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_204) ).

fof(c_0_380,axiom,
    ! [X14,X3] :
      ( lhs_atom178(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_381,axiom,
    ! [X14,X3] :
      ( lhs_atom177(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_382,axiom,
    ! [X14,X3] :
      ( lhs_atom176(X14,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_383,axiom,
    ! [X10,X3] :
      ( lhs_atom172(X10,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_384,axiom,
    ! [X16,X3] :
      ( lhs_atom170(X16,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_385,axiom,
    ! [X16,X3] :
      ( lhs_atom169(X16,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_386,axiom,
    ! [X9,X15] :
      ( lhs_atom167(X9,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_387,axiom,
    ! [X9,X3] :
      ( lhs_atom166(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_388,axiom,
    ! [X4,X2] :
      ( lhs_atom162(X4,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_389,axiom,
    ! [X12,X13] :
      ( lhs_atom107(X12,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_390,axiom,
    ! [X6,X3] :
      ( lhs_atom35(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_391,axiom,
    ! [X10,X3] :
      ( lhs_atom34(X10,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_392,axiom,
    ! [X6,X3] :
      ( lhs_atom33(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_393,axiom,
    ! [X9,X3] :
      ( lhs_atom32(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_394,axiom,
    ! [X7,X8] :
      ( lhs_atom30(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_395,axiom,
    ! [X7,X8] :
      ( lhs_atom29(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_396,axiom,
    ! [X7,X8] :
      ( lhs_atom28(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_397,axiom,
    ! [X7,X8] :
      ( lhs_atom27(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_398,axiom,
    ! [X7,X8] :
      ( lhs_atom25(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_399,axiom,
    ! [X7,X8] :
      ( lhs_atom24(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_400,axiom,
    ! [X7,X8] :
      ( lhs_atom23(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_401,axiom,
    ! [X7,X8] :
      ( lhs_atom22(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_402,axiom,
    ! [X6,X3] :
      ( lhs_atom17(X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_403,axiom,
    ! [X5,X3] :
      ( lhs_atom16(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_404,axiom,
    ! [X5,X3] :
      ( lhs_atom15(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_405,axiom,
    ! [X5,X3] :
      ( lhs_atom14(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_406,axiom,
    ! [X1,X2] :
      ( lhs_atom13(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_407,axiom,
    ! [X1,X2] :
      ( lhs_atom12(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_408,axiom,
    ! [X4,X1] :
      ( lhs_atom9(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_409,axiom,
    ! [X4,X1] :
      ( lhs_atom8(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_410,axiom,
    ! [X4,X1] :
      ( lhs_atom7(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_411,axiom,
    ! [X4,X1] :
      ( lhs_atom6(X4,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_412,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_413,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_414,axiom,
    ! [X6] :
      ( lhs_atom751(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_757) ).

fof(c_0_415,axiom,
    ! [X66] :
      ( lhs_atom750(X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_756) ).

fof(c_0_416,axiom,
    ! [X60] :
      ( lhs_atom738(X60)
      | ~ $true ),
    file('<stdin>',to_be_clausified_744) ).

fof(c_0_417,axiom,
    ! [X6] :
      ( lhs_atom729(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_735) ).

fof(c_0_418,axiom,
    ! [X19] :
      ( lhs_atom727(X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_733) ).

fof(c_0_419,axiom,
    ! [X65] :
      ( lhs_atom724(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_730) ).

fof(c_0_420,axiom,
    ! [X65] :
      ( lhs_atom715(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_721) ).

fof(c_0_421,axiom,
    ! [X65] :
      ( lhs_atom714(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_720) ).

fof(c_0_422,axiom,
    ! [X65] :
      ( lhs_atom711(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_717) ).

fof(c_0_423,axiom,
    ! [X65] :
      ( lhs_atom710(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_716) ).

fof(c_0_424,axiom,
    ! [X65] :
      ( lhs_atom703(X65)
      | ~ $true ),
    file('<stdin>',to_be_clausified_709) ).

fof(c_0_425,axiom,
    ! [X6] :
      ( lhs_atom679(X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_685) ).

fof(c_0_426,axiom,
    ! [X66] :
      ( lhs_atom665(X66)
      | ~ $true ),
    file('<stdin>',to_be_clausified_671) ).

fof(c_0_427,axiom,
    ! [X70] :
      ( lhs_atom661(X70)
      | ~ $true ),
    file('<stdin>',to_be_clausified_667) ).

fof(c_0_428,axiom,
    ! [X63] :
      ( lhs_atom660(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_666) ).

fof(c_0_429,axiom,
    ! [X63] :
      ( lhs_atom659(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_665) ).

fof(c_0_430,axiom,
    ! [X63] :
      ( lhs_atom658(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_664) ).

fof(c_0_431,axiom,
    ! [X69] :
      ( lhs_atom657(X69)
      | ~ $true ),
    file('<stdin>',to_be_clausified_663) ).

fof(c_0_432,axiom,
    ! [X14] :
      ( lhs_atom647(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_653) ).

fof(c_0_433,axiom,
    ! [X63] :
      ( lhs_atom645(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_651) ).

fof(c_0_434,axiom,
    ! [X63] :
      ( lhs_atom643(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_649) ).

fof(c_0_435,axiom,
    ! [X63] :
      ( lhs_atom642(X63)
      | ~ $true ),
    file('<stdin>',to_be_clausified_648) ).

fof(c_0_436,axiom,
    ! [X62] :
      ( lhs_atom639(X62)
      | ~ $true ),
    file('<stdin>',to_be_clausified_645) ).

fof(c_0_437,axiom,
    ! [X62] :
      ( lhs_atom638(X62)
      | ~ $true ),
    file('<stdin>',to_be_clausified_644) ).

fof(c_0_438,axiom,
    ! [X3] :
      ( lhs_atom635(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_641) ).

fof(c_0_439,axiom,
    ! [X3] :
      ( lhs_atom630(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_636) ).

fof(c_0_440,axiom,
    ! [X3] :
      ( lhs_atom623(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_629) ).

fof(c_0_441,axiom,
    ! [X3] :
      ( lhs_atom609(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_615) ).

fof(c_0_442,axiom,
    ! [X3] :
      ( lhs_atom607(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_613) ).

fof(c_0_443,axiom,
    ! [X3] :
      ( lhs_atom601(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_607) ).

fof(c_0_444,axiom,
    ! [X3] :
      ( lhs_atom594(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_600) ).

fof(c_0_445,axiom,
    ! [X3] :
      ( lhs_atom593(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_599) ).

fof(c_0_446,axiom,
    ! [X3] :
      ( lhs_atom590(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_596) ).

fof(c_0_447,axiom,
    ! [X3] :
      ( lhs_atom589(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_595) ).

fof(c_0_448,axiom,
    ! [X3] :
      ( lhs_atom583(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_589) ).

fof(c_0_449,axiom,
    ! [X3] :
      ( lhs_atom576(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_582) ).

fof(c_0_450,axiom,
    ! [X3] :
      ( lhs_atom572(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_578) ).

fof(c_0_451,axiom,
    ! [X14] :
      ( lhs_atom568(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_574) ).

fof(c_0_452,axiom,
    ! [X7] :
      ( lhs_atom563(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_569) ).

fof(c_0_453,axiom,
    ! [X1] :
      ( lhs_atom556(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_562) ).

fof(c_0_454,axiom,
    ! [X3] :
      ( lhs_atom551(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_557) ).

fof(c_0_455,axiom,
    ! [X3] :
      ( lhs_atom548(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_554) ).

fof(c_0_456,axiom,
    ! [X3] :
      ( lhs_atom545(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_551) ).

fof(c_0_457,axiom,
    ! [X3] :
      ( lhs_atom537(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_543) ).

fof(c_0_458,axiom,
    ! [X28] :
      ( lhs_atom531(X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_537) ).

fof(c_0_459,axiom,
    ! [X9] :
      ( lhs_atom530(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_536) ).

fof(c_0_460,axiom,
    ! [X26] :
      ( lhs_atom516(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_522) ).

fof(c_0_461,axiom,
    ! [X26] :
      ( lhs_atom515(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_521) ).

fof(c_0_462,axiom,
    ! [X26] :
      ( lhs_atom512(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_518) ).

fof(c_0_463,axiom,
    ! [X26] :
      ( lhs_atom511(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_517) ).

fof(c_0_464,axiom,
    ! [X26] :
      ( lhs_atom510(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_516) ).

fof(c_0_465,axiom,
    ! [X26] :
      ( lhs_atom509(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_515) ).

fof(c_0_466,axiom,
    ! [X26] :
      ( lhs_atom504(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_510) ).

fof(c_0_467,axiom,
    ! [X26] :
      ( lhs_atom503(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_509) ).

fof(c_0_468,axiom,
    ! [X14] :
      ( lhs_atom502(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_508) ).

fof(c_0_469,axiom,
    ! [X14] :
      ( lhs_atom501(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_507) ).

fof(c_0_470,axiom,
    ! [X26] :
      ( lhs_atom500(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_506) ).

fof(c_0_471,axiom,
    ! [X26] :
      ( lhs_atom499(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_505) ).

fof(c_0_472,axiom,
    ! [X14] :
      ( lhs_atom493(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_499) ).

fof(c_0_473,axiom,
    ! [X14] :
      ( lhs_atom491(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_497) ).

fof(c_0_474,axiom,
    ! [X4] :
      ( lhs_atom489(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_495) ).

fof(c_0_475,axiom,
    ! [X4] :
      ( lhs_atom487(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_493) ).

fof(c_0_476,axiom,
    ! [X1] :
      ( lhs_atom479(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_485) ).

fof(c_0_477,axiom,
    ! [X4] :
      ( lhs_atom477(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_483) ).

fof(c_0_478,axiom,
    ! [X4] :
      ( lhs_atom476(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_482) ).

fof(c_0_479,axiom,
    ! [X14] :
      ( lhs_atom474(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_480) ).

fof(c_0_480,axiom,
    ! [X14] :
      ( lhs_atom473(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_479) ).

fof(c_0_481,axiom,
    ! [X1] :
      ( lhs_atom469(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_475) ).

fof(c_0_482,axiom,
    ! [X4] :
      ( lhs_atom465(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_471) ).

fof(c_0_483,axiom,
    ! [X14] :
      ( lhs_atom462(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_468) ).

fof(c_0_484,axiom,
    ! [X1] :
      ( lhs_atom461(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_467) ).

fof(c_0_485,axiom,
    ! [X1] :
      ( lhs_atom460(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_466) ).

fof(c_0_486,axiom,
    ! [X1] :
      ( lhs_atom456(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_462) ).

fof(c_0_487,axiom,
    ! [X1] :
      ( lhs_atom454(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_460) ).

fof(c_0_488,axiom,
    ! [X14] :
      ( lhs_atom453(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_459) ).

fof(c_0_489,axiom,
    ! [X4] :
      ( lhs_atom452(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_458) ).

fof(c_0_490,axiom,
    ! [X4] :
      ( lhs_atom451(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_457) ).

fof(c_0_491,axiom,
    ! [X58] :
      ( lhs_atom448(X58)
      | ~ $true ),
    file('<stdin>',to_be_clausified_454) ).

fof(c_0_492,axiom,
    ! [X26] :
      ( lhs_atom445(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_451) ).

fof(c_0_493,axiom,
    ! [X22] :
      ( lhs_atom438(X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_444) ).

fof(c_0_494,axiom,
    ! [X15] :
      ( lhs_atom436(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_442) ).

fof(c_0_495,axiom,
    ! [X3] :
      ( lhs_atom421(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_427) ).

fof(c_0_496,axiom,
    ! [X3] :
      ( lhs_atom421(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_426) ).

fof(c_0_497,axiom,
    ! [X3] :
      ( lhs_atom416(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_419) ).

fof(c_0_498,axiom,
    ! [X3] :
      ( lhs_atom290(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_415) ).

fof(c_0_499,axiom,
    ! [X3] :
      ( lhs_atom405(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_407) ).

fof(c_0_500,axiom,
    ! [X3] :
      ( lhs_atom405(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_406) ).

fof(c_0_501,axiom,
    ! [X15] :
      ( lhs_atom400(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_401) ).

fof(c_0_502,axiom,
    ! [X15] :
      ( lhs_atom345(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_346) ).

fof(c_0_503,axiom,
    ! [X3] :
      ( lhs_atom344(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_345) ).

fof(c_0_504,axiom,
    ! [X3] :
      ( lhs_atom323(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_324) ).

fof(c_0_505,axiom,
    ! [X3] :
      ( lhs_atom319(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_320) ).

fof(c_0_506,axiom,
    ! [X15] :
      ( lhs_atom303(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_304) ).

fof(c_0_507,axiom,
    ! [X15] :
      ( lhs_atom300(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_301) ).

fof(c_0_508,axiom,
    ! [X15] :
      ( lhs_atom296(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_297) ).

fof(c_0_509,axiom,
    ! [X3] :
      ( lhs_atom289(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_293) ).

fof(c_0_510,axiom,
    ! [X3] :
      ( lhs_atom290(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_290) ).

fof(c_0_511,axiom,
    ! [X3] :
      ( lhs_atom289(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_289) ).

fof(c_0_512,axiom,
    ! [X17] :
      ( lhs_atom284(X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_284) ).

fof(c_0_513,axiom,
    ! [X10] :
      ( lhs_atom281(X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_281) ).

fof(c_0_514,axiom,
    ! [X10] :
      ( lhs_atom280(X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_280) ).

fof(c_0_515,axiom,
    ! [X10] :
      ( lhs_atom279(X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_279) ).

fof(c_0_516,axiom,
    ! [X9] :
      ( lhs_atom278(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_278) ).

fof(c_0_517,axiom,
    ! [X1] :
      ( lhs_atom276(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_276) ).

fof(c_0_518,axiom,
    ! [X17] :
      ( lhs_atom273(X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_273) ).

fof(c_0_519,axiom,
    ! [X10] :
      ( lhs_atom271(X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_271) ).

fof(c_0_520,axiom,
    ! [X14] :
      ( lhs_atom270(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_270) ).

fof(c_0_521,axiom,
    ! [X28] :
      ( lhs_atom268(X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_268) ).

fof(c_0_522,axiom,
    ! [X17] :
      ( lhs_atom267(X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_267) ).

fof(c_0_523,axiom,
    ! [X17] :
      ( lhs_atom265(X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_265) ).

fof(c_0_524,axiom,
    ! [X14] :
      ( lhs_atom262(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_262) ).

fof(c_0_525,axiom,
    ! [X4] :
      ( lhs_atom261(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_261) ).

fof(c_0_526,axiom,
    ! [X4] :
      ( lhs_atom260(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_260) ).

fof(c_0_527,axiom,
    ! [X4] :
      ( lhs_atom259(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_259) ).

fof(c_0_528,axiom,
    ! [X4] :
      ( lhs_atom256(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_256) ).

fof(c_0_529,axiom,
    ! [X4] :
      ( lhs_atom255(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_255) ).

fof(c_0_530,axiom,
    ! [X14] :
      ( lhs_atom253(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_253) ).

fof(c_0_531,axiom,
    ! [X2] :
      ( lhs_atom251(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_251) ).

fof(c_0_532,axiom,
    ! [X1] :
      ( lhs_atom248(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_248) ).

fof(c_0_533,axiom,
    ! [X1] :
      ( lhs_atom245(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_245) ).

fof(c_0_534,axiom,
    ! [X14] :
      ( lhs_atom240(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_240) ).

fof(c_0_535,axiom,
    ! [X1] :
      ( lhs_atom235(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_235) ).

fof(c_0_536,axiom,
    ! [X1] :
      ( lhs_atom234(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_234) ).

fof(c_0_537,axiom,
    ! [X14] :
      ( lhs_atom233(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_233) ).

fof(c_0_538,axiom,
    ! [X14] :
      ( lhs_atom232(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_232) ).

fof(c_0_539,axiom,
    ! [X14] :
      ( lhs_atom230(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_230) ).

fof(c_0_540,axiom,
    ! [X3] :
      ( lhs_atom229(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_229) ).

fof(c_0_541,axiom,
    ! [X4] :
      ( lhs_atom217(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_216) ).

fof(c_0_542,axiom,
    ! [X1] :
      ( lhs_atom210(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_209) ).

fof(c_0_543,axiom,
    ! [X1] :
      ( lhs_atom209(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_208) ).

fof(c_0_544,axiom,
    ! [X1] :
      ( lhs_atom208(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_207) ).

fof(c_0_545,axiom,
    ! [X14] :
      ( lhs_atom204(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_203) ).

fof(c_0_546,axiom,
    ! [X1] :
      ( lhs_atom203(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_202) ).

fof(c_0_547,axiom,
    ! [X14] :
      ( lhs_atom202(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_201) ).

fof(c_0_548,axiom,
    ! [X10] :
      ( lhs_atom201(X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_200) ).

fof(c_0_549,axiom,
    ! [X3] :
      ( lhs_atom171(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_550,axiom,
    ! [X3] :
      ( lhs_atom168(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_551,axiom,
    ! [X4] :
      ( lhs_atom165(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_552,axiom,
    ! [X4] :
      ( lhs_atom164(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_553,axiom,
    ! [X4] :
      ( lhs_atom163(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_554,axiom,
    ! [X14] :
      ( lhs_atom161(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_555,axiom,
    ! [X2] :
      ( lhs_atom160(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_556,axiom,
    ! [X13] :
      ( lhs_atom159(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_557,axiom,
    ! [X13] :
      ( lhs_atom158(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_558,axiom,
    ! [X13] :
      ( lhs_atom157(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_559,axiom,
    ! [X13] :
      ( lhs_atom156(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_560,axiom,
    ! [X3] :
      ( lhs_atom37(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_561,axiom,
    ! [X2] :
      ( lhs_atom31(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_562,axiom,
    ! [X2] :
      ( lhs_atom26(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_563,axiom,
    ! [X4] :
      ( lhs_atom21(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_564,axiom,
    ! [X4] :
      ( lhs_atom20(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_565,axiom,
    ! [X4] :
      ( lhs_atom19(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_566,axiom,
    ! [X4] :
      ( lhs_atom18(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_567,axiom,
    ! [X1] :
      ( lhs_atom11(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_568,axiom,
    ! [X1] :
      ( lhs_atom10(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_569,axiom,
    ! [X3] :
      ( lhs_atom5(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_570,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_571,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_572,axiom,
    ( lhs_atom737
    | ~ $true ),
    file('<stdin>',to_be_clausified_743) ).

fof(c_0_573,axiom,
    ( lhs_atom736
    | ~ $true ),
    file('<stdin>',to_be_clausified_742) ).

fof(c_0_574,axiom,
    ( lhs_atom733
    | ~ $true ),
    file('<stdin>',to_be_clausified_739) ).

fof(c_0_575,axiom,
    ( lhs_atom732
    | ~ $true ),
    file('<stdin>',to_be_clausified_738) ).

fof(c_0_576,axiom,
    ( lhs_atom702
    | ~ $true ),
    file('<stdin>',to_be_clausified_708) ).

fof(c_0_577,axiom,
    ( lhs_atom669
    | ~ $true ),
    file('<stdin>',to_be_clausified_675) ).

fof(c_0_578,axiom,
    ( lhs_atom668
    | ~ $true ),
    file('<stdin>',to_be_clausified_674) ).

fof(c_0_579,axiom,
    ( lhs_atom666
    | ~ $true ),
    file('<stdin>',to_be_clausified_672) ).

fof(c_0_580,axiom,
    ( lhs_atom649
    | ~ $true ),
    file('<stdin>',to_be_clausified_655) ).

fof(c_0_581,axiom,
    ( lhs_atom646
    | ~ $true ),
    file('<stdin>',to_be_clausified_652) ).

fof(c_0_582,axiom,
    ( lhs_atom644
    | ~ $true ),
    file('<stdin>',to_be_clausified_650) ).

fof(c_0_583,axiom,
    ( lhs_atom641
    | ~ $true ),
    file('<stdin>',to_be_clausified_647) ).

fof(c_0_584,axiom,
    ( lhs_atom640
    | ~ $true ),
    file('<stdin>',to_be_clausified_646) ).

fof(c_0_585,axiom,
    ( lhs_atom595
    | ~ $true ),
    file('<stdin>',to_be_clausified_601) ).

fof(c_0_586,axiom,
    ( lhs_atom569
    | ~ $true ),
    file('<stdin>',to_be_clausified_575) ).

fof(c_0_587,axiom,
    ( lhs_atom558
    | ~ $true ),
    file('<stdin>',to_be_clausified_564) ).

fof(c_0_588,axiom,
    ( lhs_atom557
    | ~ $true ),
    file('<stdin>',to_be_clausified_563) ).

fof(c_0_589,axiom,
    ( lhs_atom529
    | ~ $true ),
    file('<stdin>',to_be_clausified_535) ).

fof(c_0_590,axiom,
    ( lhs_atom528
    | ~ $true ),
    file('<stdin>',to_be_clausified_534) ).

fof(c_0_591,axiom,
    ( lhs_atom527
    | ~ $true ),
    file('<stdin>',to_be_clausified_533) ).

fof(c_0_592,axiom,
    ( lhs_atom526
    | ~ $true ),
    file('<stdin>',to_be_clausified_532) ).

fof(c_0_593,axiom,
    ( lhs_atom525
    | ~ $true ),
    file('<stdin>',to_be_clausified_531) ).

fof(c_0_594,axiom,
    ( lhs_atom522
    | ~ $true ),
    file('<stdin>',to_be_clausified_528) ).

fof(c_0_595,axiom,
    ( lhs_atom521
    | ~ $true ),
    file('<stdin>',to_be_clausified_527) ).

fof(c_0_596,axiom,
    ( lhs_atom518
    | ~ $true ),
    file('<stdin>',to_be_clausified_524) ).

fof(c_0_597,axiom,
    ( lhs_atom517
    | ~ $true ),
    file('<stdin>',to_be_clausified_523) ).

fof(c_0_598,axiom,
    ( lhs_atom514
    | ~ $true ),
    file('<stdin>',to_be_clausified_520) ).

fof(c_0_599,axiom,
    ( lhs_atom513
    | ~ $true ),
    file('<stdin>',to_be_clausified_519) ).

fof(c_0_600,axiom,
    ( lhs_atom506
    | ~ $true ),
    file('<stdin>',to_be_clausified_512) ).

fof(c_0_601,axiom,
    ( lhs_atom505
    | ~ $true ),
    file('<stdin>',to_be_clausified_511) ).

fof(c_0_602,axiom,
    ( lhs_atom495
    | ~ $true ),
    file('<stdin>',to_be_clausified_501) ).

fof(c_0_603,axiom,
    ( lhs_atom494
    | ~ $true ),
    file('<stdin>',to_be_clausified_500) ).

fof(c_0_604,axiom,
    ( lhs_atom488
    | ~ $true ),
    file('<stdin>',to_be_clausified_494) ).

fof(c_0_605,axiom,
    ( lhs_atom486
    | ~ $true ),
    file('<stdin>',to_be_clausified_492) ).

fof(c_0_606,axiom,
    ( lhs_atom483
    | ~ $true ),
    file('<stdin>',to_be_clausified_489) ).

fof(c_0_607,axiom,
    ( lhs_atom472
    | ~ $true ),
    file('<stdin>',to_be_clausified_478) ).

fof(c_0_608,axiom,
    ( lhs_atom471
    | ~ $true ),
    file('<stdin>',to_be_clausified_477) ).

fof(c_0_609,axiom,
    ( lhs_atom470
    | ~ $true ),
    file('<stdin>',to_be_clausified_476) ).

fof(c_0_610,axiom,
    ( lhs_atom464
    | ~ $true ),
    file('<stdin>',to_be_clausified_470) ).

fof(c_0_611,axiom,
    ( lhs_atom458
    | ~ $true ),
    file('<stdin>',to_be_clausified_464) ).

fof(c_0_612,axiom,
    ( lhs_atom447
    | ~ $true ),
    file('<stdin>',to_be_clausified_453) ).

fof(c_0_613,axiom,
    ( lhs_atom446
    | ~ $true ),
    file('<stdin>',to_be_clausified_452) ).

fof(c_0_614,axiom,
    ( lhs_atom394
    | ~ $true ),
    file('<stdin>',to_be_clausified_395) ).

fof(c_0_615,axiom,
    ( lhs_atom393
    | ~ $true ),
    file('<stdin>',to_be_clausified_394) ).

fof(c_0_616,axiom,
    ( lhs_atom392
    | ~ $true ),
    file('<stdin>',to_be_clausified_393) ).

fof(c_0_617,axiom,
    ( lhs_atom391
    | ~ $true ),
    file('<stdin>',to_be_clausified_392) ).

fof(c_0_618,axiom,
    ( lhs_atom390
    | ~ $true ),
    file('<stdin>',to_be_clausified_391) ).

fof(c_0_619,axiom,
    ( lhs_atom389
    | ~ $true ),
    file('<stdin>',to_be_clausified_390) ).

fof(c_0_620,axiom,
    ( lhs_atom388
    | ~ $true ),
    file('<stdin>',to_be_clausified_389) ).

fof(c_0_621,axiom,
    ( lhs_atom387
    | ~ $true ),
    file('<stdin>',to_be_clausified_388) ).

fof(c_0_622,axiom,
    ( lhs_atom386
    | ~ $true ),
    file('<stdin>',to_be_clausified_387) ).

fof(c_0_623,axiom,
    ( lhs_atom385
    | ~ $true ),
    file('<stdin>',to_be_clausified_386) ).

fof(c_0_624,axiom,
    ( lhs_atom384
    | ~ $true ),
    file('<stdin>',to_be_clausified_385) ).

fof(c_0_625,axiom,
    ( lhs_atom383
    | ~ $true ),
    file('<stdin>',to_be_clausified_384) ).

fof(c_0_626,axiom,
    ( lhs_atom382
    | ~ $true ),
    file('<stdin>',to_be_clausified_383) ).

fof(c_0_627,axiom,
    ( lhs_atom381
    | ~ $true ),
    file('<stdin>',to_be_clausified_382) ).

fof(c_0_628,axiom,
    ( lhs_atom380
    | ~ $true ),
    file('<stdin>',to_be_clausified_381) ).

fof(c_0_629,axiom,
    ( lhs_atom379
    | ~ $true ),
    file('<stdin>',to_be_clausified_380) ).

fof(c_0_630,axiom,
    ( lhs_atom275
    | ~ $true ),
    file('<stdin>',to_be_clausified_275) ).

fof(c_0_631,axiom,
    ( lhs_atom257
    | ~ $true ),
    file('<stdin>',to_be_clausified_257) ).

fof(c_0_632,axiom,
    ( lhs_atom254
    | ~ $true ),
    file('<stdin>',to_be_clausified_254) ).

fof(c_0_633,axiom,
    ( lhs_atom250
    | ~ $true ),
    file('<stdin>',to_be_clausified_250) ).

fof(c_0_634,axiom,
    ( lhs_atom249
    | ~ $true ),
    file('<stdin>',to_be_clausified_249) ).

fof(c_0_635,axiom,
    ( lhs_atom247
    | ~ $true ),
    file('<stdin>',to_be_clausified_247) ).

fof(c_0_636,axiom,
    ( lhs_atom246
    | ~ $true ),
    file('<stdin>',to_be_clausified_246) ).

fof(c_0_637,axiom,
    ( lhs_atom244
    | ~ $true ),
    file('<stdin>',to_be_clausified_244) ).

fof(c_0_638,axiom,
    ( lhs_atom242
    | ~ $true ),
    file('<stdin>',to_be_clausified_242) ).

fof(c_0_639,axiom,
    ( lhs_atom241
    | ~ $true ),
    file('<stdin>',to_be_clausified_241) ).

fof(c_0_640,axiom,
    ( lhs_atom228
    | ~ $true ),
    file('<stdin>',to_be_clausified_228) ).

fof(c_0_641,axiom,
    ( lhs_atom227
    | ~ $true ),
    file('<stdin>',to_be_clausified_227) ).

fof(c_0_642,axiom,
    ( lhs_atom224
    | ~ $true ),
    file('<stdin>',to_be_clausified_224) ).

fof(c_0_643,axiom,
    ( lhs_atom223
    | ~ $true ),
    file('<stdin>',to_be_clausified_223) ).

fof(c_0_644,axiom,
    ( lhs_atom207
    | ~ $true ),
    file('<stdin>',to_be_clausified_206) ).

fof(c_0_645,axiom,
    ( lhs_atom206
    | ~ $true ),
    file('<stdin>',to_be_clausified_205) ).

fof(c_0_646,axiom,
    ( lhs_atom179
    | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_647,axiom,
    ( lhs_atom155
    | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_648,axiom,
    ( lhs_atom154
    | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_649,axiom,
    ( lhs_atom153
    | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_650,axiom,
    ( lhs_atom152
    | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_651,axiom,
    ( lhs_atom151
    | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_652,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_653,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_654,axiom,
    ( lhs_atom148
    | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_655,axiom,
    ( lhs_atom147
    | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_656,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_657,axiom,
    ( lhs_atom145
    | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_658,axiom,
    ( lhs_atom144
    | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_659,axiom,
    ( lhs_atom143
    | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_660,axiom,
    ( lhs_atom142
    | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_661,axiom,
    ( lhs_atom141
    | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_662,axiom,
    ( lhs_atom140
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_663,axiom,
    ( lhs_atom139
    | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_664,axiom,
    ( lhs_atom138
    | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_665,axiom,
    ( lhs_atom137
    | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_666,axiom,
    ( lhs_atom136
    | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_667,axiom,
    ( lhs_atom135
    | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_668,axiom,
    ( lhs_atom134
    | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_669,axiom,
    ( lhs_atom133
    | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_670,axiom,
    ( lhs_atom132
    | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_671,axiom,
    ( lhs_atom131
    | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_672,axiom,
    ( lhs_atom130
    | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_673,axiom,
    ( lhs_atom129
    | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_674,axiom,
    ( lhs_atom128
    | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_675,axiom,
    ( lhs_atom127
    | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_676,axiom,
    ( lhs_atom126
    | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_677,axiom,
    ( lhs_atom125
    | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_678,axiom,
    ( lhs_atom124
    | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_679,axiom,
    ( lhs_atom123
    | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_680,axiom,
    ( lhs_atom122
    | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_681,axiom,
    ( lhs_atom121
    | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_682,axiom,
    ( lhs_atom120
    | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_683,axiom,
    ( lhs_atom119
    | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_684,axiom,
    ( lhs_atom118
    | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_685,axiom,
    ( lhs_atom117
    | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_686,axiom,
    ( lhs_atom116
    | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_687,axiom,
    ( lhs_atom115
    | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_688,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_689,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_690,axiom,
    ( lhs_atom112
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_691,axiom,
    ( lhs_atom111
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_692,axiom,
    ( lhs_atom110
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_693,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_694,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_695,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_696,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_697,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_698,axiom,
    ( lhs_atom103
    | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_699,axiom,
    ( lhs_atom102
    | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_700,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_701,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_702,axiom,
    ( lhs_atom99
    | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_703,axiom,
    ( lhs_atom98
    | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_704,axiom,
    ( lhs_atom97
    | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_705,axiom,
    ( lhs_atom96
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_706,axiom,
    ( lhs_atom95
    | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_707,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_708,axiom,
    ( lhs_atom93
    | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_709,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_710,axiom,
    ( lhs_atom91
    | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_711,axiom,
    ( lhs_atom90
    | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_712,axiom,
    ( lhs_atom89
    | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_713,axiom,
    ( lhs_atom88
    | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_714,axiom,
    ( lhs_atom87
    | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_715,axiom,
    ( lhs_atom86
    | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_716,axiom,
    ( lhs_atom85
    | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_717,axiom,
    ( lhs_atom84
    | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_718,axiom,
    ( lhs_atom83
    | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_719,axiom,
    ( lhs_atom82
    | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_720,axiom,
    ( lhs_atom81
    | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_721,axiom,
    ( lhs_atom80
    | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_722,axiom,
    ( lhs_atom79
    | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_723,axiom,
    ( lhs_atom78
    | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_724,axiom,
    ( lhs_atom77
    | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_725,axiom,
    ( lhs_atom76
    | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_726,axiom,
    ( lhs_atom75
    | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_727,axiom,
    ( lhs_atom74
    | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_728,axiom,
    ( lhs_atom73
    | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_729,axiom,
    ( lhs_atom72
    | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_730,axiom,
    ( lhs_atom71
    | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_731,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_732,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_733,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_734,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_735,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_736,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_737,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_738,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_739,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_740,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_741,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_742,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_743,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_744,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_745,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_746,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_747,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_748,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_749,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_750,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_751,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_752,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_753,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_754,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_755,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_756,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_757,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_758,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_759,axiom,
    ( lhs_atom42
    | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_760,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_761,axiom,
    ( lhs_atom40
    | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_762,axiom,
    ( lhs_atom39
    | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_763,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_764,plain,
    ! [X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom378(X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_765,plain,
    ! [X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom377(X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_766,plain,
    ! [X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom376(X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_767,plain,
    ! [X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom375(X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_768,plain,
    ! [X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom374(X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_769,plain,
    ! [X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom373(X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_770,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom372(X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_771,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom371(X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_772,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3] : lhs_atom370(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_773,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom369(X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_774,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3] : lhs_atom368(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_775,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3] : lhs_atom367(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_776,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3] : lhs_atom366(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_777,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3] : lhs_atom365(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_778,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3] : lhs_atom364(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_779,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3] : lhs_atom363(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_780,plain,
    ! [X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom362(X14,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_781,plain,
    ! [X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom361(X14,X42,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_782,plain,
    ! [X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom360(X14,X42,X43,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_783,plain,
    ! [X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom359(X14,X42,X43,X44,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_784,plain,
    ! [X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom358(X14,X42,X43,X44,X45,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_785,plain,
    ! [X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom357(X14,X42,X43,X44,X45,X46,X48,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_786,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom356(X14,X42,X43,X44,X45,X46,X47,X23,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_787,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom355(X14,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_788,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3] : lhs_atom354(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X55,X3),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_789,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3] : lhs_atom353(X14,X42,X43,X44,X45,X46,X47,X48,X23,X50,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_790,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3] : lhs_atom352(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X51,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_791,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3] : lhs_atom351(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X52,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_792,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3] : lhs_atom350(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X53,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_793,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3] : lhs_atom349(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X54,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_794,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3] : lhs_atom348(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X55,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_795,plain,
    ! [X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3] : lhs_atom347(X14,X42,X43,X44,X45,X46,X47,X48,X23,X49,X50,X51,X52,X53,X54,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_796,plain,
    ! [X78,X83,X35,X36,X84,X67,X6] : lhs_atom757(X78,X83,X35,X36,X84,X67,X6),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_797,plain,
    ! [X14,X9,X34,X22,X18,X3] : lhs_atom443(X14,X9,X34,X22,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_798,plain,
    ! [X30,X14,X5,X9,X18,X3] : lhs_atom441(X30,X14,X5,X9,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_799,plain,
    ! [X74,X70,X75,X76,X77] : lhs_atom673(X74,X70,X75,X76,X77),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_800,plain,
    ! [X74,X70,X75,X76,X77] : lhs_atom672(X74,X70,X75,X76,X77),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_801,plain,
    ! [X74,X70,X75,X76,X77] : lhs_atom671(X74,X70,X75,X76,X77),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_802,plain,
    ! [X74,X70,X75,X76,X77] : lhs_atom670(X74,X70,X75,X76,X77),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_803,plain,
    ! [X30,X14,X5,X9,X3] : lhs_atom341(X30,X14,X5,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_804,plain,
    ! [X2,X19,X20,X18,X3] : lhs_atom198(X2,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_805,plain,
    ! [X2,X19,X20,X18,X3] : lhs_atom191(X2,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_806,plain,
    ! [X10,X19,X20,X18,X3] : lhs_atom190(X10,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_807,plain,
    ! [X10,X19,X20,X18,X3] : lhs_atom189(X10,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_808,plain,
    ! [X2,X19,X20,X18,X3] : lhs_atom188(X2,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_809,plain,
    ! [X10,X19,X20,X18,X3] : lhs_atom186(X10,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_810,plain,
    ! [X10,X19,X20,X18,X3] : lhs_atom180(X10,X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_811,plain,
    ! [X61,X17,X82,X6] : lhs_atom749(X61,X17,X82,X6),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_812,plain,
    ! [X61,X17,X82,X6] : lhs_atom744(X61,X17,X82,X6),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_813,plain,
    ! [X68,X80,X66,X67] : lhs_atom694(X68,X80,X66,X67),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_814,plain,
    ! [X68,X80,X66,X67] : lhs_atom692(X68,X80,X66,X67),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_815,plain,
    ! [X78,X66,X40,X6] : lhs_atom684(X78,X66,X40,X6),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_816,plain,
    ! [X78,X66,X40,X6] : lhs_atom681(X78,X66,X40,X6),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_817,plain,
    ! [X74,X70,X75,X69] : lhs_atom675(X74,X70,X75,X69),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_818,plain,
    ! [X74,X70,X75,X69] : lhs_atom674(X74,X70,X75,X69),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_819,plain,
    ! [X17,X10,X18,X3] : lhs_atom625(X17,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_820,plain,
    ! [X17,X10,X18,X3] : lhs_atom624(X17,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_821,plain,
    ! [X10,X40,X6,X3] : lhs_atom619(X10,X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_822,plain,
    ! [X10,X40,X6,X3] : lhs_atom605(X10,X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_823,plain,
    ! [X10,X60,X40,X3] : lhs_atom604(X10,X60,X40,X3),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_824,plain,
    ! [X14,X10,X18,X3] : lhs_atom535(X14,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_825,plain,
    ! [X14,X17,X18,X3] : lhs_atom533(X14,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_826,plain,
    ! [X5,X4,X1,X3] : lhs_atom435(X5,X4,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_827,plain,
    ! [X9,X2,X22,X3] : lhs_atom434(X9,X2,X22,X3),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_828,plain,
    ! [X30,X5,X4,X3] : lhs_atom431(X30,X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_829,plain,
    ! [X5,X9,X4,X3] : lhs_atom430(X5,X9,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_830,plain,
    ! [X30,X5,X9,X15] : lhs_atom402(X30,X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_831,plain,
    ! [X30,X5,X4,X3] : lhs_atom399(X30,X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_832,plain,
    ! [X30,X14,X5,X3] : lhs_atom398(X30,X14,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_833,plain,
    ! [X5,X9,X4,X3] : lhs_atom397(X5,X9,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_834,plain,
    ! [X11,X35,X36,X3] : lhs_atom334(X11,X35,X36,X3),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_835,plain,
    ! [X30,X5,X18,X3] : lhs_atom332(X30,X5,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_836,plain,
    ! [X5,X9,X22,X3] : lhs_atom324(X5,X9,X22,X3),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_837,plain,
    ! [X30,X5,X9,X15] : lhs_atom315(X30,X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_838,plain,
    ! [X9,X2,X22,X3] : lhs_atom310(X9,X2,X22,X3),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_839,plain,
    ! [X5,X4,X1,X3] : lhs_atom309(X5,X4,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_840,plain,
    ! [X30,X5,X4,X3] : lhs_atom308(X30,X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_841,plain,
    ! [X5,X9,X4,X3] : lhs_atom307(X5,X9,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_842,plain,
    ! [X31,X30,X5,X3] : lhs_atom292(X31,X30,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_843,plain,
    ! [X2,X22,X18,X3] : lhs_atom197(X2,X22,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_844,plain,
    ! [X2,X10,X18,X3] : lhs_atom196(X2,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_845,plain,
    ! [X2,X20,X18,X3] : lhs_atom195(X2,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_846,plain,
    ! [X2,X20,X18,X3] : lhs_atom194(X2,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_847,plain,
    ! [X2,X10,X18,X3] : lhs_atom193(X2,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_848,plain,
    ! [X2,X10,X18,X3] : lhs_atom187(X2,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_849,plain,
    ! [X2,X10,X18,X3] : lhs_atom185(X2,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_850,plain,
    ! [X19,X20,X18,X3] : lhs_atom184(X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_851,plain,
    ! [X19,X20,X18,X3] : lhs_atom183(X19,X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_852,plain,
    ! [X21,X11,X18,X3] : lhs_atom182(X21,X11,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_853,plain,
    ! [X21,X11,X18,X3] : lhs_atom181(X21,X11,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_854,plain,
    ! [X17,X10,X18,X3] : lhs_atom173(X17,X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_855,axiom,
    ! [X4,X1] :
      ( lhs_atom482(X4,X1)
      | c_times(X1,c_0,tc_nat) = c_times(X4,c_0,tc_nat) ),
    c_0_91 ).

fof(c_0_856,axiom,
    ! [X4,X1] :
      ( lhs_atom481(X4,X1)
      | c_times(c_0,X1,tc_nat) = c_times(c_0,X4,tc_nat) ),
    c_0_92 ).

fof(c_0_857,plain,
    ! [X78,X17,X6] : lhs_atom756(X78,X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_858,plain,
    ! [X17,X60,X6] : lhs_atom755(X17,X60,X6),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_859,plain,
    ! [X17,X60,X6] : lhs_atom754(X17,X60,X6),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_860,plain,
    ! [X78,X17,X6] : lhs_atom748(X78,X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_861,plain,
    ! [X17,X40,X6] : lhs_atom747(X17,X40,X6),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_862,plain,
    ! [X17,X60,X6] : lhs_atom746(X17,X60,X6),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_863,plain,
    ! [X78,X17,X6] : lhs_atom745(X78,X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_864,plain,
    ! [X17,X60,X6] : lhs_atom743(X17,X60,X6),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_865,plain,
    ! [X14,X24,X3] : lhs_atom735(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_866,plain,
    ! [X14,X23,X3] : lhs_atom734(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_867,plain,
    ! [X14,X24,X3] : lhs_atom731(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_868,plain,
    ! [X14,X23,X3] : lhs_atom730(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_869,plain,
    ! [X78,X17,X6] : lhs_atom728(X78,X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_870,plain,
    ! [X68,X66,X65] : lhs_atom721(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_871,plain,
    ! [X68,X66,X65] : lhs_atom718(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_872,plain,
    ! [X66,X67,X65] : lhs_atom717(X66,X67,X65),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_873,plain,
    ! [X68,X66,X65] : lhs_atom713(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_874,plain,
    ! [X68,X66,X65] : lhs_atom707(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_875,plain,
    ! [X68,X66,X65] : lhs_atom705(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_876,plain,
    ! [X68,X66,X19] : lhs_atom698(X68,X66,X19),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_877,plain,
    ! [X68,X66,X19] : lhs_atom697(X68,X66,X19),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_878,plain,
    ! [X68,X66,X67] : lhs_atom696(X68,X66,X67),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_879,plain,
    ! [X79,X68,X66] : lhs_atom695(X79,X68,X66),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_880,plain,
    ! [X68,X66,X6] : lhs_atom693(X68,X66,X6),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_881,plain,
    ! [X79,X68,X66] : lhs_atom691(X79,X68,X66),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_882,plain,
    ! [X68,X66,X67] : lhs_atom690(X68,X66,X67),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_883,plain,
    ! [X68,X66,X19] : lhs_atom689(X68,X66,X19),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_884,plain,
    ! [X68,X66,X19] : lhs_atom688(X68,X66,X19),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_885,plain,
    ! [X68,X66,X6] : lhs_atom687(X68,X66,X6),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_886,plain,
    ! [X78,X66,X6] : lhs_atom683(X78,X66,X6),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_887,plain,
    ! [X78,X66,X6] : lhs_atom682(X78,X66,X6),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_888,plain,
    ! [X78,X66,X6] : lhs_atom680(X78,X66,X6),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_889,plain,
    ! [X70,X76,X77] : lhs_atom676(X70,X76,X77),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_890,plain,
    ! [X40,X6,X3] : lhs_atom667(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_891,plain,
    ! [X68,X66,X65] : lhs_atom654(X68,X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_892,plain,
    ! [X66,X67,X65] : lhs_atom651(X66,X67,X65),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_893,plain,
    ! [X10,X6,X3] : lhs_atom620(X10,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_894,plain,
    ! [X9,X6,X3] : lhs_atom618(X9,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_895,plain,
    ! [X9,X6,X3] : lhs_atom617(X9,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_896,plain,
    ! [X10,X6,X3] : lhs_atom616(X10,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_897,plain,
    ! [X10,X6,X3] : lhs_atom615(X10,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_898,plain,
    ! [X10,X40,X3] : lhs_atom610(X10,X40,X3),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_899,plain,
    ! [X40,X6,X3] : lhs_atom608(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_900,plain,
    ! [X40,X6,X3] : lhs_atom597(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_901,plain,
    ! [X40,X6,X3] : lhs_atom596(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_902,plain,
    ! [X40,X6,X3] : lhs_atom592(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_903,plain,
    ! [X10,X40,X3] : lhs_atom591(X10,X40,X3),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_904,plain,
    ! [X40,X6,X3] : lhs_atom582(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_905,plain,
    ! [X40,X6,X3] : lhs_atom580(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_906,plain,
    ! [X40,X6,X3] : lhs_atom577(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_907,plain,
    ! [X40,X6,X3] : lhs_atom573(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_908,plain,
    ! [X40,X6,X3] : lhs_atom571(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_909,plain,
    ! [X40,X6,X3] : lhs_atom570(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_910,plain,
    ! [X4,X59,X15] : lhs_atom555(X4,X59,X15),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_911,plain,
    ! [X14,X18,X3] : lhs_atom549(X14,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_912,plain,
    ! [X14,X18,X3] : lhs_atom544(X14,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_913,plain,
    ! [X59,X18,X3] : lhs_atom543(X59,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_914,plain,
    ! [X40,X6,X3] : lhs_atom542(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_915,plain,
    ! [X14,X18,X3] : lhs_atom540(X14,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_916,plain,
    ! [X25,X18,X3] : lhs_atom536(X25,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_917,plain,
    ! [X14,X18,X3] : lhs_atom534(X14,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_918,plain,
    ! [X14,X24,X3] : lhs_atom524(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_919,plain,
    ! [X14,X23,X3] : lhs_atom523(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_920,plain,
    ! [X14,X24,X3] : lhs_atom520(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_921,plain,
    ! [X14,X23,X3] : lhs_atom519(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_922,plain,
    ! [X14,X26,X29] : lhs_atom496(X14,X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_923,plain,
    ! [X2,X34,X22] : lhs_atom467(X2,X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_924,plain,
    ! [X4,X1,X2] : lhs_atom459(X4,X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_925,plain,
    ! [X30,X18,X3] : lhs_atom442(X30,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_926,plain,
    ! [X5,X57,X15] : lhs_atom440(X5,X57,X15),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_927,plain,
    ! [X9,X56,X3] : lhs_atom439(X9,X56,X3),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_928,plain,
    ! [X14,X9,X15] : lhs_atom437(X14,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_929,plain,
    ! [X4,X8,X3] : lhs_atom429(X4,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_930,plain,
    ! [X5,X4,X3] : lhs_atom425(X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_931,plain,
    ! [X30,X5,X3] : lhs_atom420(X30,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_932,plain,
    ! [X5,X9,X15] : lhs_atom419(X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_933,plain,
    ! [X5,X4,X3] : lhs_atom417(X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_934,plain,
    ! [X9,X4,X3] : lhs_atom413(X9,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_935,plain,
    ! [X30,X14,X3] : lhs_atom412(X30,X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_936,plain,
    ! [X30,X5,X3] : lhs_atom411(X30,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_937,plain,
    ! [X5,X9,X15] : lhs_atom410(X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_938,plain,
    ! [X9,X4,X15] : lhs_atom409(X9,X4,X15),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_939,plain,
    ! [X5,X9,X3] : lhs_atom407(X5,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_940,plain,
    ! [X30,X9,X3] : lhs_atom404(X30,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_941,plain,
    ! [X5,X9,X15] : lhs_atom401(X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_942,plain,
    ! [X14,X5,X3] : lhs_atom396(X14,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_943,plain,
    ! [X5,X9,X3] : lhs_atom395(X5,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_944,plain,
    ! [X41,X6,X15] : lhs_atom346(X41,X6,X15),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_945,plain,
    ! [X40,X6,X3] : lhs_atom343(X40,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_946,plain,
    ! [X29,X22,X15] : lhs_atom340(X29,X22,X15),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_947,plain,
    ! [X38,X10,X3] : lhs_atom338(X38,X10,X3),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_948,plain,
    ! [X37,X16,X3] : lhs_atom337(X37,X16,X3),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_949,plain,
    ! [X37,X16,X3] : lhs_atom336(X37,X16,X3),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_950,plain,
    ! [X9,X11,X3] : lhs_atom335(X9,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_951,plain,
    ! [X5,X4,X3] : lhs_atom329(X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_952,plain,
    ! [X5,X4,X3] : lhs_atom328(X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_953,plain,
    ! [X14,X9,X3] : lhs_atom325(X14,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_954,plain,
    ! [X5,X4,X3] : lhs_atom322(X5,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_955,plain,
    ! [X30,X5,X3] : lhs_atom320(X30,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_956,plain,
    ! [X14,X5,X3] : lhs_atom318(X14,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_957,plain,
    ! [X5,X9,X3] : lhs_atom313(X5,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_958,plain,
    ! [X14,X5,X3] : lhs_atom312(X14,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_959,plain,
    ! [X1,X34,X22] : lhs_atom311(X1,X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_960,plain,
    ! [X30,X5,X3] : lhs_atom302(X30,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_961,plain,
    ! [X5,X9,X15] : lhs_atom301(X5,X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_962,plain,
    ! [X14,X9,X3] : lhs_atom298(X14,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_963,plain,
    ! [X14,X4,X3] : lhs_atom295(X14,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_964,plain,
    ! [X30,X11,X3] : lhs_atom291(X30,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_965,plain,
    ! [X5,X11,X3] : lhs_atom288(X5,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_966,plain,
    ! [X14,X24,X3] : lhs_atom226(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_967,plain,
    ! [X14,X23,X3] : lhs_atom225(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_968,plain,
    ! [X14,X24,X3] : lhs_atom222(X14,X24,X3),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_969,plain,
    ! [X14,X23,X3] : lhs_atom221(X14,X23,X3),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_970,plain,
    ! [X4,X1,X2] : lhs_atom215(X4,X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_971,plain,
    ! [X4,X1,X2] : lhs_atom213(X4,X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_972,plain,
    ! [X20,X18,X3] : lhs_atom200(X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_973,plain,
    ! [X20,X18,X3] : lhs_atom199(X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_974,plain,
    ! [X20,X18,X3] : lhs_atom192(X20,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_975,plain,
    ! [X17,X18,X3] : lhs_atom175(X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_976,plain,
    ! [X10,X18,X3] : lhs_atom174(X10,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_977,plain,
    ! [X11,X10,X3] : lhs_atom36(X11,X10,X3),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_978,plain,
    ! [X78,X6] : lhs_atom753(X78,X6),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_979,plain,
    ! [X78,X6] : lhs_atom752(X78,X6),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_980,plain,
    ! [X17,X6] : lhs_atom742(X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_981,plain,
    ! [X40,X6] : lhs_atom741(X40,X6),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_982,plain,
    ! [X17,X6] : lhs_atom740(X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_983,plain,
    ! [X17,X6] : lhs_atom739(X17,X6),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_984,plain,
    ! [X19,X40] : lhs_atom726(X19,X40),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_985,plain,
    ! [X66,X67] : lhs_atom725(X66,X67),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_986,plain,
    ! [X19,X65] : lhs_atom723(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_987,plain,
    ! [X19,X65] : lhs_atom722(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_988,plain,
    ! [X67,X65] : lhs_atom720(X67,X65),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_989,plain,
    ! [X66,X65] : lhs_atom719(X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_990,plain,
    ! [X81,X65] : lhs_atom716(X81,X65),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_991,plain,
    ! [X65,X73] : lhs_atom712(X65,X73),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_992,plain,
    ! [X19,X65] : lhs_atom709(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_993,plain,
    ! [X19,X65] : lhs_atom708(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_994,plain,
    ! [X66,X65] : lhs_atom706(X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_995,plain,
    ! [X81,X65] : lhs_atom704(X81,X65),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_996,plain,
    ! [X65,X73] : lhs_atom701(X65,X73),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_997,plain,
    ! [X4,X65] : lhs_atom700(X4,X65),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_998,plain,
    ! [X9,X66] : lhs_atom699(X9,X66),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_999,plain,
    ! [X9,X66] : lhs_atom686(X9,X66),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_1000,plain,
    ! [X65,X6] : lhs_atom685(X65,X6),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_1001,plain,
    ! [X70,X69] : lhs_atom678(X70,X69),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_1002,plain,
    ! [X70,X69] : lhs_atom677(X70,X69),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_1003,plain,
    ! [X65,X73] : lhs_atom664(X65,X73),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_1004,plain,
    ! [X63,X70] : lhs_atom663(X63,X70),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_1005,plain,
    ! [X71,X72] : lhs_atom662(X71,X72),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_1006,plain,
    ! [X19,X65] : lhs_atom656(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_1007,plain,
    ! [X19,X65] : lhs_atom655(X19,X65),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_1008,plain,
    ! [X67,X65] : lhs_atom653(X67,X65),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_1009,plain,
    ! [X66,X65] : lhs_atom652(X66,X65),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_1010,plain,
    ! [X65,X6] : lhs_atom650(X65,X6),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_1011,plain,
    ! [X64,X65] : lhs_atom648(X64,X65),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_1012,plain,
    ! [X11,X3] : lhs_atom637(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_1013,plain,
    ! [X11,X3] : lhs_atom636(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_1014,plain,
    ! [X11,X3] : lhs_atom634(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_1015,plain,
    ! [X59,X3] : lhs_atom633(X59,X3),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_1016,plain,
    ! [X59,X3] : lhs_atom632(X59,X3),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_1017,plain,
    ! [X11,X3] : lhs_atom631(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_1018,plain,
    ! [X11,X3] : lhs_atom629(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_1019,plain,
    ! [X59,X3] : lhs_atom628(X59,X3),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_1020,plain,
    ! [X59,X3] : lhs_atom627(X59,X3),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_1021,plain,
    ! [X18,X3] : lhs_atom626(X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_1022,plain,
    ! [X6,X3] : lhs_atom622(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_1023,plain,
    ! [X6,X3] : lhs_atom621(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_1024,plain,
    ! [X61,X3] : lhs_atom614(X61,X3),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_1025,plain,
    ! [X6,X3] : lhs_atom613(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_1026,plain,
    ! [X14,X3] : lhs_atom612(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_1027,plain,
    ! [X14,X3] : lhs_atom611(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_1028,plain,
    ! [X14,X3] : lhs_atom606(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_1029,plain,
    ! [X14,X3] : lhs_atom603(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_1030,plain,
    ! [X14,X3] : lhs_atom602(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_1031,plain,
    ! [X14,X3] : lhs_atom600(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_1032,plain,
    ! [X6,X3] : lhs_atom599(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_1033,plain,
    ! [X40,X3] : lhs_atom598(X40,X3),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_1034,plain,
    ! [X6,X3] : lhs_atom588(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_1035,plain,
    ! [X40,X3] : lhs_atom587(X40,X3),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_1036,plain,
    ! [X14,X3] : lhs_atom586(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_1037,plain,
    ! [X14,X3] : lhs_atom585(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_1038,plain,
    ! [X14,X3] : lhs_atom584(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_1039,plain,
    ! [X14,X3] : lhs_atom581(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_1040,plain,
    ! [X6,X3] : lhs_atom579(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_1041,plain,
    ! [X6,X3] : lhs_atom578(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_1042,plain,
    ! [X6,X3] : lhs_atom575(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_1043,plain,
    ! [X6,X3] : lhs_atom574(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_1044,plain,
    ! [X7,X8] : lhs_atom567(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_1045,plain,
    ! [X7,X8] : lhs_atom566(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_1046,plain,
    ! [X7,X8] : lhs_atom565(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_1047,plain,
    ! [X7,X8] : lhs_atom564(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_1048,plain,
    ! [X7,X8] : lhs_atom562(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_1049,plain,
    ! [X7,X8] : lhs_atom561(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_1050,plain,
    ! [X7,X8] : lhs_atom560(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_1051,plain,
    ! [X7,X8] : lhs_atom559(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_1052,plain,
    ! [X59,X15] : lhs_atom554(X59,X15),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_1053,plain,
    ! [X14,X3] : lhs_atom553(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_1054,plain,
    ! [X9,X3] : lhs_atom552(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_1055,plain,
    ! [X6,X3] : lhs_atom550(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_1056,plain,
    ! [X18,X3] : lhs_atom547(X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_1057,plain,
    ! [X14,X3] : lhs_atom546(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_1058,plain,
    ! [X14,X3] : lhs_atom541(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_1059,plain,
    ! [X18,X3] : lhs_atom539(X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_1060,plain,
    ! [X14,X3] : lhs_atom538(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_1061,plain,
    ! [X28,X4] : lhs_atom532(X28,X4),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_1062,plain,
    ! [X26,X29] : lhs_atom508(X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_1063,plain,
    ! [X26,X29] : lhs_atom507(X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_1064,plain,
    ! [X26,X29] : lhs_atom498(X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_1065,plain,
    ! [X26,X29] : lhs_atom497(X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_1066,plain,
    ! [X4,X1] : lhs_atom492(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_1067,plain,
    ! [X4,X1] : lhs_atom490(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_1068,plain,
    ! [X34,X22] : lhs_atom485(X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_1069,plain,
    ! [X34,X22] : lhs_atom484(X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_1070,plain,
    ! [X4,X1] : lhs_atom480(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_1071,plain,
    ! [X4,X1] : lhs_atom478(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_1072,plain,
    ! [X4,X1] : lhs_atom475(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_1073,plain,
    ! [X4,X1] : lhs_atom468(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_1074,plain,
    ! [X4,X1] : lhs_atom466(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_1075,plain,
    ! [X4,X1] : lhs_atom463(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_1076,plain,
    ! [X4,X1] : lhs_atom457(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_1077,plain,
    ! [X4,X1] : lhs_atom455(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_1078,plain,
    ! [X29,X1] : lhs_atom450(X29,X1),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_1079,plain,
    ! [X29,X1] : lhs_atom449(X29,X1),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_1080,plain,
    ! [X4,X1] : lhs_atom444(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_1081,plain,
    ! [X4,X3] : lhs_atom433(X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_1082,plain,
    ! [X5,X3] : lhs_atom432(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_1083,plain,
    ! [X6,X3] : lhs_atom428(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_1084,plain,
    ! [X5,X3] : lhs_atom427(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_1085,plain,
    ! [X9,X3] : lhs_atom426(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_1086,plain,
    ! [X5,X3] : lhs_atom424(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_1087,plain,
    ! [X5,X3] : lhs_atom423(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_1088,plain,
    ! [X5,X3] : lhs_atom422(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_1089,plain,
    ! [X5,X3] : lhs_atom294(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_1090,plain,
    ! [X30,X3] : lhs_atom293(X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_1091,plain,
    ! [X4,X3] : lhs_atom418(X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_1092,plain,
    ! [X9,X3] : lhs_atom415(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_1093,plain,
    ! [X14,X3] : lhs_atom414(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_1094,plain,
    ! [X9,X15] : lhs_atom408(X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_1095,plain,
    ! [X9,X15] : lhs_atom406(X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_1096,plain,
    ! [X9,X15] : lhs_atom403(X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_1097,plain,
    ! [X11,X3] : lhs_atom342(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_1098,plain,
    ! [X39,X15] : lhs_atom339(X39,X15),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_1099,plain,
    ! [X11,X15] : lhs_atom333(X11,X15),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_1100,plain,
    ! [X34,X22] : lhs_atom331(X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_1101,plain,
    ! [X5,X3] : lhs_atom330(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_1102,plain,
    ! [X5,X3] : lhs_atom327(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_1103,plain,
    ! [X5,X3] : lhs_atom326(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_1104,plain,
    ! [X5,X3] : lhs_atom321(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_1105,plain,
    ! [X5,X3] : lhs_atom317(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_1106,plain,
    ! [X9,X3] : lhs_atom316(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_1107,plain,
    ! [X14,X15] : lhs_atom314(X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_1108,plain,
    ! [X14,X3] : lhs_atom306(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_1109,plain,
    ! [X4,X15] : lhs_atom305(X4,X15),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_1110,plain,
    ! [X34,X22] : lhs_atom304(X34,X22),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_1111,plain,
    ! [X32,X33] : lhs_atom299(X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_1112,plain,
    ! [X9,X15] : lhs_atom297(X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_1113,plain,
    ! [X5,X3] : lhs_atom294(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_1114,plain,
    ! [X30,X3] : lhs_atom293(X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_1115,plain,
    ! [X17,X10] : lhs_atom287(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_1116,plain,
    ! [X17,X10] : lhs_atom286(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_1117,plain,
    ! [X17,X10] : lhs_atom285(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_1118,plain,
    ! [X17,X10] : lhs_atom283(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_1119,plain,
    ! [X17,X10] : lhs_atom282(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_1120,plain,
    ! [X9,X4] : lhs_atom277(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_1121,plain,
    ! [X17,X10] : lhs_atom274(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_1122,plain,
    ! [X26,X29] : lhs_atom272(X26,X29),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_1123,plain,
    ! [X28,X4] : lhs_atom269(X28,X4),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_1124,plain,
    ! [X11,X27] : lhs_atom266(X11,X27),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_1125,plain,
    ! [X17,X10] : lhs_atom264(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_1126,plain,
    ! [X17,X10] : lhs_atom263(X17,X10),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_1127,plain,
    ! [X4,X1] : lhs_atom258(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_1128,plain,
    ! [X14,X9] : lhs_atom252(X14,X9),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_1129,plain,
    ! [X25,X26] : lhs_atom243(X25,X26),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_1130,plain,
    ! [X14,X4] : lhs_atom239(X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_1131,plain,
    ! [X4,X1] : lhs_atom238(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_1132,plain,
    ! [X4,X1] : lhs_atom237(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_1133,plain,
    ! [X4,X1] : lhs_atom236(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_1134,plain,
    ! [X14,X3] : lhs_atom231(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_1135,plain,
    ! [X11,X3] : lhs_atom220(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_1136,plain,
    ! [X11,X3] : lhs_atom220(X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_1137,plain,
    ! [X4,X1] : lhs_atom219(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_1138,plain,
    ! [X4,X1] : lhs_atom218(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_1139,plain,
    ! [X4,X1] : lhs_atom216(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_1140,plain,
    ! [X4,X1] : lhs_atom214(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_1141,plain,
    ! [X4,X1] : lhs_atom212(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_1142,plain,
    ! [X4,X1] : lhs_atom211(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_1143,plain,
    ! [X4,X1] : lhs_atom205(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_1144,plain,
    ! [X14,X3] : lhs_atom178(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_1145,plain,
    ! [X14,X3] : lhs_atom177(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_1146,plain,
    ! [X14,X3] : lhs_atom176(X14,X3),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_1147,plain,
    ! [X10,X3] : lhs_atom172(X10,X3),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_1148,plain,
    ! [X16,X3] : lhs_atom170(X16,X3),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_1149,plain,
    ! [X16,X3] : lhs_atom169(X16,X3),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_1150,plain,
    ! [X9,X15] : lhs_atom167(X9,X15),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_1151,plain,
    ! [X9,X3] : lhs_atom166(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_1152,plain,
    ! [X4,X2] : lhs_atom162(X4,X2),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_1153,plain,
    ! [X12,X13] : lhs_atom107(X12,X13),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_1154,plain,
    ! [X6,X3] : lhs_atom35(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_1155,plain,
    ! [X10,X3] : lhs_atom34(X10,X3),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_1156,plain,
    ! [X6,X3] : lhs_atom33(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_1157,plain,
    ! [X9,X3] : lhs_atom32(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_1158,plain,
    ! [X7,X8] : lhs_atom30(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_1159,plain,
    ! [X7,X8] : lhs_atom29(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_1160,plain,
    ! [X7,X8] : lhs_atom28(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_1161,plain,
    ! [X7,X8] : lhs_atom27(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_1162,plain,
    ! [X7,X8] : lhs_atom25(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_1163,plain,
    ! [X7,X8] : lhs_atom24(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_1164,plain,
    ! [X7,X8] : lhs_atom23(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_1165,plain,
    ! [X7,X8] : lhs_atom22(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_1166,plain,
    ! [X6,X3] : lhs_atom17(X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_1167,plain,
    ! [X5,X3] : lhs_atom16(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_1168,plain,
    ! [X5,X3] : lhs_atom15(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_1169,plain,
    ! [X5,X3] : lhs_atom14(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_1170,plain,
    ! [X1,X2] : lhs_atom13(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_1171,plain,
    ! [X1,X2] : lhs_atom12(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_1172,plain,
    ! [X4,X1] : lhs_atom9(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_1173,plain,
    ! [X4,X1] : lhs_atom8(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_1174,plain,
    ! [X4,X1] : lhs_atom7(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_1175,plain,
    ! [X4,X1] : lhs_atom6(X4,X1),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_1176,plain,
    ! [X1,X2] : lhs_atom4(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_1177,plain,
    ! [X1,X2] : lhs_atom3(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_1178,plain,
    ! [X6] : lhs_atom751(X6),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_1179,plain,
    ! [X66] : lhs_atom750(X66),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_1180,plain,
    ! [X60] : lhs_atom738(X60),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_1181,plain,
    ! [X6] : lhs_atom729(X6),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_1182,plain,
    ! [X19] : lhs_atom727(X19),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_1183,plain,
    ! [X65] : lhs_atom724(X65),
    inference(fof_simplification,[status(thm)],[c_0_419]) ).

fof(c_0_1184,plain,
    ! [X65] : lhs_atom715(X65),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_1185,plain,
    ! [X65] : lhs_atom714(X65),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_1186,plain,
    ! [X65] : lhs_atom711(X65),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_1187,plain,
    ! [X65] : lhs_atom710(X65),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_1188,plain,
    ! [X65] : lhs_atom703(X65),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_1189,plain,
    ! [X6] : lhs_atom679(X6),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_1190,plain,
    ! [X66] : lhs_atom665(X66),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_1191,plain,
    ! [X70] : lhs_atom661(X70),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_1192,plain,
    ! [X63] : lhs_atom660(X63),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_1193,plain,
    ! [X63] : lhs_atom659(X63),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_1194,plain,
    ! [X63] : lhs_atom658(X63),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_1195,plain,
    ! [X69] : lhs_atom657(X69),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_1196,plain,
    ! [X14] : lhs_atom647(X14),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_1197,plain,
    ! [X63] : lhs_atom645(X63),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_1198,plain,
    ! [X63] : lhs_atom643(X63),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_1199,plain,
    ! [X63] : lhs_atom642(X63),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_1200,plain,
    ! [X62] : lhs_atom639(X62),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_1201,plain,
    ! [X62] : lhs_atom638(X62),
    inference(fof_simplification,[status(thm)],[c_0_437]) ).

fof(c_0_1202,plain,
    ! [X3] : lhs_atom635(X3),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_1203,plain,
    ! [X3] : lhs_atom630(X3),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_1204,plain,
    ! [X3] : lhs_atom623(X3),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_1205,plain,
    ! [X3] : lhs_atom609(X3),
    inference(fof_simplification,[status(thm)],[c_0_441]) ).

fof(c_0_1206,plain,
    ! [X3] : lhs_atom607(X3),
    inference(fof_simplification,[status(thm)],[c_0_442]) ).

fof(c_0_1207,plain,
    ! [X3] : lhs_atom601(X3),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_1208,plain,
    ! [X3] : lhs_atom594(X3),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_1209,plain,
    ! [X3] : lhs_atom593(X3),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_1210,plain,
    ! [X3] : lhs_atom590(X3),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_1211,plain,
    ! [X3] : lhs_atom589(X3),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_1212,plain,
    ! [X3] : lhs_atom583(X3),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_1213,plain,
    ! [X3] : lhs_atom576(X3),
    inference(fof_simplification,[status(thm)],[c_0_449]) ).

fof(c_0_1214,plain,
    ! [X3] : lhs_atom572(X3),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_1215,plain,
    ! [X14] : lhs_atom568(X14),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_1216,plain,
    ! [X7] : lhs_atom563(X7),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_1217,plain,
    ! [X1] : lhs_atom556(X1),
    inference(fof_simplification,[status(thm)],[c_0_453]) ).

fof(c_0_1218,plain,
    ! [X3] : lhs_atom551(X3),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_1219,plain,
    ! [X3] : lhs_atom548(X3),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_1220,plain,
    ! [X3] : lhs_atom545(X3),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_1221,plain,
    ! [X3] : lhs_atom537(X3),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_1222,plain,
    ! [X28] : lhs_atom531(X28),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_1223,plain,
    ! [X9] : lhs_atom530(X9),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_1224,plain,
    ! [X26] : lhs_atom516(X26),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_1225,plain,
    ! [X26] : lhs_atom515(X26),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_1226,plain,
    ! [X26] : lhs_atom512(X26),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_1227,plain,
    ! [X26] : lhs_atom511(X26),
    inference(fof_simplification,[status(thm)],[c_0_463]) ).

fof(c_0_1228,plain,
    ! [X26] : lhs_atom510(X26),
    inference(fof_simplification,[status(thm)],[c_0_464]) ).

fof(c_0_1229,plain,
    ! [X26] : lhs_atom509(X26),
    inference(fof_simplification,[status(thm)],[c_0_465]) ).

fof(c_0_1230,plain,
    ! [X26] : lhs_atom504(X26),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_1231,plain,
    ! [X26] : lhs_atom503(X26),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_1232,plain,
    ! [X14] : lhs_atom502(X14),
    inference(fof_simplification,[status(thm)],[c_0_468]) ).

fof(c_0_1233,plain,
    ! [X14] : lhs_atom501(X14),
    inference(fof_simplification,[status(thm)],[c_0_469]) ).

fof(c_0_1234,plain,
    ! [X26] : lhs_atom500(X26),
    inference(fof_simplification,[status(thm)],[c_0_470]) ).

fof(c_0_1235,plain,
    ! [X26] : lhs_atom499(X26),
    inference(fof_simplification,[status(thm)],[c_0_471]) ).

fof(c_0_1236,plain,
    ! [X14] : lhs_atom493(X14),
    inference(fof_simplification,[status(thm)],[c_0_472]) ).

fof(c_0_1237,plain,
    ! [X14] : lhs_atom491(X14),
    inference(fof_simplification,[status(thm)],[c_0_473]) ).

fof(c_0_1238,plain,
    ! [X4] : lhs_atom489(X4),
    inference(fof_simplification,[status(thm)],[c_0_474]) ).

fof(c_0_1239,plain,
    ! [X4] : lhs_atom487(X4),
    inference(fof_simplification,[status(thm)],[c_0_475]) ).

fof(c_0_1240,plain,
    ! [X1] : lhs_atom479(X1),
    inference(fof_simplification,[status(thm)],[c_0_476]) ).

fof(c_0_1241,plain,
    ! [X4] : lhs_atom477(X4),
    inference(fof_simplification,[status(thm)],[c_0_477]) ).

fof(c_0_1242,plain,
    ! [X4] : lhs_atom476(X4),
    inference(fof_simplification,[status(thm)],[c_0_478]) ).

fof(c_0_1243,plain,
    ! [X14] : lhs_atom474(X14),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_1244,plain,
    ! [X14] : lhs_atom473(X14),
    inference(fof_simplification,[status(thm)],[c_0_480]) ).

fof(c_0_1245,plain,
    ! [X1] : lhs_atom469(X1),
    inference(fof_simplification,[status(thm)],[c_0_481]) ).

fof(c_0_1246,plain,
    ! [X4] : lhs_atom465(X4),
    inference(fof_simplification,[status(thm)],[c_0_482]) ).

fof(c_0_1247,plain,
    ! [X14] : lhs_atom462(X14),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_1248,plain,
    ! [X1] : lhs_atom461(X1),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_1249,plain,
    ! [X1] : lhs_atom460(X1),
    inference(fof_simplification,[status(thm)],[c_0_485]) ).

fof(c_0_1250,plain,
    ! [X1] : lhs_atom456(X1),
    inference(fof_simplification,[status(thm)],[c_0_486]) ).

fof(c_0_1251,plain,
    ! [X1] : lhs_atom454(X1),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_1252,plain,
    ! [X14] : lhs_atom453(X14),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_1253,plain,
    ! [X4] : lhs_atom452(X4),
    inference(fof_simplification,[status(thm)],[c_0_489]) ).

fof(c_0_1254,plain,
    ! [X4] : lhs_atom451(X4),
    inference(fof_simplification,[status(thm)],[c_0_490]) ).

fof(c_0_1255,plain,
    ! [X58] : lhs_atom448(X58),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_1256,plain,
    ! [X26] : lhs_atom445(X26),
    inference(fof_simplification,[status(thm)],[c_0_492]) ).

fof(c_0_1257,plain,
    ! [X22] : lhs_atom438(X22),
    inference(fof_simplification,[status(thm)],[c_0_493]) ).

fof(c_0_1258,plain,
    ! [X15] : lhs_atom436(X15),
    inference(fof_simplification,[status(thm)],[c_0_494]) ).

fof(c_0_1259,plain,
    ! [X3] : lhs_atom421(X3),
    inference(fof_simplification,[status(thm)],[c_0_495]) ).

fof(c_0_1260,plain,
    ! [X3] : lhs_atom421(X3),
    inference(fof_simplification,[status(thm)],[c_0_496]) ).

fof(c_0_1261,plain,
    ! [X3] : lhs_atom416(X3),
    inference(fof_simplification,[status(thm)],[c_0_497]) ).

fof(c_0_1262,plain,
    ! [X3] : lhs_atom290(X3),
    inference(fof_simplification,[status(thm)],[c_0_498]) ).

fof(c_0_1263,plain,
    ! [X3] : lhs_atom405(X3),
    inference(fof_simplification,[status(thm)],[c_0_499]) ).

fof(c_0_1264,plain,
    ! [X3] : lhs_atom405(X3),
    inference(fof_simplification,[status(thm)],[c_0_500]) ).

fof(c_0_1265,plain,
    ! [X15] : lhs_atom400(X15),
    inference(fof_simplification,[status(thm)],[c_0_501]) ).

fof(c_0_1266,plain,
    ! [X15] : lhs_atom345(X15),
    inference(fof_simplification,[status(thm)],[c_0_502]) ).

fof(c_0_1267,plain,
    ! [X3] : lhs_atom344(X3),
    inference(fof_simplification,[status(thm)],[c_0_503]) ).

fof(c_0_1268,plain,
    ! [X3] : lhs_atom323(X3),
    inference(fof_simplification,[status(thm)],[c_0_504]) ).

fof(c_0_1269,plain,
    ! [X3] : lhs_atom319(X3),
    inference(fof_simplification,[status(thm)],[c_0_505]) ).

fof(c_0_1270,plain,
    ! [X15] : lhs_atom303(X15),
    inference(fof_simplification,[status(thm)],[c_0_506]) ).

fof(c_0_1271,plain,
    ! [X15] : lhs_atom300(X15),
    inference(fof_simplification,[status(thm)],[c_0_507]) ).

fof(c_0_1272,plain,
    ! [X15] : lhs_atom296(X15),
    inference(fof_simplification,[status(thm)],[c_0_508]) ).

fof(c_0_1273,plain,
    ! [X3] : lhs_atom289(X3),
    inference(fof_simplification,[status(thm)],[c_0_509]) ).

fof(c_0_1274,plain,
    ! [X3] : lhs_atom290(X3),
    inference(fof_simplification,[status(thm)],[c_0_510]) ).

fof(c_0_1275,plain,
    ! [X3] : lhs_atom289(X3),
    inference(fof_simplification,[status(thm)],[c_0_511]) ).

fof(c_0_1276,plain,
    ! [X17] : lhs_atom284(X17),
    inference(fof_simplification,[status(thm)],[c_0_512]) ).

fof(c_0_1277,plain,
    ! [X10] : lhs_atom281(X10),
    inference(fof_simplification,[status(thm)],[c_0_513]) ).

fof(c_0_1278,plain,
    ! [X10] : lhs_atom280(X10),
    inference(fof_simplification,[status(thm)],[c_0_514]) ).

fof(c_0_1279,plain,
    ! [X10] : lhs_atom279(X10),
    inference(fof_simplification,[status(thm)],[c_0_515]) ).

fof(c_0_1280,plain,
    ! [X9] : lhs_atom278(X9),
    inference(fof_simplification,[status(thm)],[c_0_516]) ).

fof(c_0_1281,plain,
    ! [X1] : lhs_atom276(X1),
    inference(fof_simplification,[status(thm)],[c_0_517]) ).

fof(c_0_1282,plain,
    ! [X17] : lhs_atom273(X17),
    inference(fof_simplification,[status(thm)],[c_0_518]) ).

fof(c_0_1283,plain,
    ! [X10] : lhs_atom271(X10),
    inference(fof_simplification,[status(thm)],[c_0_519]) ).

fof(c_0_1284,plain,
    ! [X14] : lhs_atom270(X14),
    inference(fof_simplification,[status(thm)],[c_0_520]) ).

fof(c_0_1285,plain,
    ! [X28] : lhs_atom268(X28),
    inference(fof_simplification,[status(thm)],[c_0_521]) ).

fof(c_0_1286,plain,
    ! [X17] : lhs_atom267(X17),
    inference(fof_simplification,[status(thm)],[c_0_522]) ).

fof(c_0_1287,plain,
    ! [X17] : lhs_atom265(X17),
    inference(fof_simplification,[status(thm)],[c_0_523]) ).

fof(c_0_1288,plain,
    ! [X14] : lhs_atom262(X14),
    inference(fof_simplification,[status(thm)],[c_0_524]) ).

fof(c_0_1289,plain,
    ! [X4] : lhs_atom261(X4),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

fof(c_0_1290,plain,
    ! [X4] : lhs_atom260(X4),
    inference(fof_simplification,[status(thm)],[c_0_526]) ).

fof(c_0_1291,plain,
    ! [X4] : lhs_atom259(X4),
    inference(fof_simplification,[status(thm)],[c_0_527]) ).

fof(c_0_1292,plain,
    ! [X4] : lhs_atom256(X4),
    inference(fof_simplification,[status(thm)],[c_0_528]) ).

fof(c_0_1293,plain,
    ! [X4] : lhs_atom255(X4),
    inference(fof_simplification,[status(thm)],[c_0_529]) ).

fof(c_0_1294,plain,
    ! [X14] : lhs_atom253(X14),
    inference(fof_simplification,[status(thm)],[c_0_530]) ).

fof(c_0_1295,plain,
    ! [X2] : lhs_atom251(X2),
    inference(fof_simplification,[status(thm)],[c_0_531]) ).

fof(c_0_1296,plain,
    ! [X1] : lhs_atom248(X1),
    inference(fof_simplification,[status(thm)],[c_0_532]) ).

fof(c_0_1297,plain,
    ! [X1] : lhs_atom245(X1),
    inference(fof_simplification,[status(thm)],[c_0_533]) ).

fof(c_0_1298,plain,
    ! [X14] : lhs_atom240(X14),
    inference(fof_simplification,[status(thm)],[c_0_534]) ).

fof(c_0_1299,plain,
    ! [X1] : lhs_atom235(X1),
    inference(fof_simplification,[status(thm)],[c_0_535]) ).

fof(c_0_1300,plain,
    ! [X1] : lhs_atom234(X1),
    inference(fof_simplification,[status(thm)],[c_0_536]) ).

fof(c_0_1301,plain,
    ! [X14] : lhs_atom233(X14),
    inference(fof_simplification,[status(thm)],[c_0_537]) ).

fof(c_0_1302,plain,
    ! [X14] : lhs_atom232(X14),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_1303,plain,
    ! [X14] : lhs_atom230(X14),
    inference(fof_simplification,[status(thm)],[c_0_539]) ).

fof(c_0_1304,plain,
    ! [X3] : lhs_atom229(X3),
    inference(fof_simplification,[status(thm)],[c_0_540]) ).

fof(c_0_1305,plain,
    ! [X4] : lhs_atom217(X4),
    inference(fof_simplification,[status(thm)],[c_0_541]) ).

fof(c_0_1306,plain,
    ! [X1] : lhs_atom210(X1),
    inference(fof_simplification,[status(thm)],[c_0_542]) ).

fof(c_0_1307,plain,
    ! [X1] : lhs_atom209(X1),
    inference(fof_simplification,[status(thm)],[c_0_543]) ).

fof(c_0_1308,plain,
    ! [X1] : lhs_atom208(X1),
    inference(fof_simplification,[status(thm)],[c_0_544]) ).

fof(c_0_1309,plain,
    ! [X14] : lhs_atom204(X14),
    inference(fof_simplification,[status(thm)],[c_0_545]) ).

fof(c_0_1310,plain,
    ! [X1] : lhs_atom203(X1),
    inference(fof_simplification,[status(thm)],[c_0_546]) ).

fof(c_0_1311,plain,
    ! [X14] : lhs_atom202(X14),
    inference(fof_simplification,[status(thm)],[c_0_547]) ).

fof(c_0_1312,plain,
    ! [X10] : lhs_atom201(X10),
    inference(fof_simplification,[status(thm)],[c_0_548]) ).

fof(c_0_1313,plain,
    ! [X3] : lhs_atom171(X3),
    inference(fof_simplification,[status(thm)],[c_0_549]) ).

fof(c_0_1314,plain,
    ! [X3] : lhs_atom168(X3),
    inference(fof_simplification,[status(thm)],[c_0_550]) ).

fof(c_0_1315,plain,
    ! [X4] : lhs_atom165(X4),
    inference(fof_simplification,[status(thm)],[c_0_551]) ).

fof(c_0_1316,plain,
    ! [X4] : lhs_atom164(X4),
    inference(fof_simplification,[status(thm)],[c_0_552]) ).

fof(c_0_1317,plain,
    ! [X4] : lhs_atom163(X4),
    inference(fof_simplification,[status(thm)],[c_0_553]) ).

fof(c_0_1318,plain,
    ! [X14] : lhs_atom161(X14),
    inference(fof_simplification,[status(thm)],[c_0_554]) ).

fof(c_0_1319,plain,
    ! [X2] : lhs_atom160(X2),
    inference(fof_simplification,[status(thm)],[c_0_555]) ).

fof(c_0_1320,plain,
    ! [X13] : lhs_atom159(X13),
    inference(fof_simplification,[status(thm)],[c_0_556]) ).

fof(c_0_1321,plain,
    ! [X13] : lhs_atom158(X13),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_1322,plain,
    ! [X13] : lhs_atom157(X13),
    inference(fof_simplification,[status(thm)],[c_0_558]) ).

fof(c_0_1323,plain,
    ! [X13] : lhs_atom156(X13),
    inference(fof_simplification,[status(thm)],[c_0_559]) ).

fof(c_0_1324,plain,
    ! [X3] : lhs_atom37(X3),
    inference(fof_simplification,[status(thm)],[c_0_560]) ).

fof(c_0_1325,plain,
    ! [X2] : lhs_atom31(X2),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_1326,plain,
    ! [X2] : lhs_atom26(X2),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_1327,plain,
    ! [X4] : lhs_atom21(X4),
    inference(fof_simplification,[status(thm)],[c_0_563]) ).

fof(c_0_1328,plain,
    ! [X4] : lhs_atom20(X4),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_1329,plain,
    ! [X4] : lhs_atom19(X4),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_1330,plain,
    ! [X4] : lhs_atom18(X4),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_1331,plain,
    ! [X1] : lhs_atom11(X1),
    inference(fof_simplification,[status(thm)],[c_0_567]) ).

fof(c_0_1332,plain,
    ! [X1] : lhs_atom10(X1),
    inference(fof_simplification,[status(thm)],[c_0_568]) ).

fof(c_0_1333,plain,
    ! [X3] : lhs_atom5(X3),
    inference(fof_simplification,[status(thm)],[c_0_569]) ).

fof(c_0_1334,plain,
    ! [X2] : lhs_atom2(X2),
    inference(fof_simplification,[status(thm)],[c_0_570]) ).

fof(c_0_1335,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_571]) ).

fof(c_0_1336,plain,
    lhs_atom737,
    inference(fof_simplification,[status(thm)],[c_0_572]) ).

fof(c_0_1337,plain,
    lhs_atom736,
    inference(fof_simplification,[status(thm)],[c_0_573]) ).

fof(c_0_1338,plain,
    lhs_atom733,
    inference(fof_simplification,[status(thm)],[c_0_574]) ).

fof(c_0_1339,plain,
    lhs_atom732,
    inference(fof_simplification,[status(thm)],[c_0_575]) ).

fof(c_0_1340,plain,
    lhs_atom702,
    inference(fof_simplification,[status(thm)],[c_0_576]) ).

fof(c_0_1341,plain,
    lhs_atom669,
    inference(fof_simplification,[status(thm)],[c_0_577]) ).

fof(c_0_1342,plain,
    lhs_atom668,
    inference(fof_simplification,[status(thm)],[c_0_578]) ).

fof(c_0_1343,plain,
    lhs_atom666,
    inference(fof_simplification,[status(thm)],[c_0_579]) ).

fof(c_0_1344,plain,
    lhs_atom649,
    inference(fof_simplification,[status(thm)],[c_0_580]) ).

fof(c_0_1345,plain,
    lhs_atom646,
    inference(fof_simplification,[status(thm)],[c_0_581]) ).

fof(c_0_1346,plain,
    lhs_atom644,
    inference(fof_simplification,[status(thm)],[c_0_582]) ).

fof(c_0_1347,plain,
    lhs_atom641,
    inference(fof_simplification,[status(thm)],[c_0_583]) ).

fof(c_0_1348,plain,
    lhs_atom640,
    inference(fof_simplification,[status(thm)],[c_0_584]) ).

fof(c_0_1349,plain,
    lhs_atom595,
    inference(fof_simplification,[status(thm)],[c_0_585]) ).

fof(c_0_1350,plain,
    lhs_atom569,
    inference(fof_simplification,[status(thm)],[c_0_586]) ).

fof(c_0_1351,plain,
    lhs_atom558,
    inference(fof_simplification,[status(thm)],[c_0_587]) ).

fof(c_0_1352,plain,
    lhs_atom557,
    inference(fof_simplification,[status(thm)],[c_0_588]) ).

fof(c_0_1353,plain,
    lhs_atom529,
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_1354,plain,
    lhs_atom528,
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_1355,plain,
    lhs_atom527,
    inference(fof_simplification,[status(thm)],[c_0_591]) ).

fof(c_0_1356,plain,
    lhs_atom526,
    inference(fof_simplification,[status(thm)],[c_0_592]) ).

fof(c_0_1357,plain,
    lhs_atom525,
    inference(fof_simplification,[status(thm)],[c_0_593]) ).

fof(c_0_1358,plain,
    lhs_atom522,
    inference(fof_simplification,[status(thm)],[c_0_594]) ).

fof(c_0_1359,plain,
    lhs_atom521,
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_1360,plain,
    lhs_atom518,
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_1361,plain,
    lhs_atom517,
    inference(fof_simplification,[status(thm)],[c_0_597]) ).

fof(c_0_1362,plain,
    lhs_atom514,
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_1363,plain,
    lhs_atom513,
    inference(fof_simplification,[status(thm)],[c_0_599]) ).

fof(c_0_1364,plain,
    lhs_atom506,
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_1365,plain,
    lhs_atom505,
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_1366,plain,
    lhs_atom495,
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_1367,plain,
    lhs_atom494,
    inference(fof_simplification,[status(thm)],[c_0_603]) ).

fof(c_0_1368,plain,
    lhs_atom488,
    inference(fof_simplification,[status(thm)],[c_0_604]) ).

fof(c_0_1369,plain,
    lhs_atom486,
    inference(fof_simplification,[status(thm)],[c_0_605]) ).

fof(c_0_1370,plain,
    lhs_atom483,
    inference(fof_simplification,[status(thm)],[c_0_606]) ).

fof(c_0_1371,plain,
    lhs_atom472,
    inference(fof_simplification,[status(thm)],[c_0_607]) ).

fof(c_0_1372,plain,
    lhs_atom471,
    inference(fof_simplification,[status(thm)],[c_0_608]) ).

fof(c_0_1373,plain,
    lhs_atom470,
    inference(fof_simplification,[status(thm)],[c_0_609]) ).

fof(c_0_1374,plain,
    lhs_atom464,
    inference(fof_simplification,[status(thm)],[c_0_610]) ).

fof(c_0_1375,plain,
    lhs_atom458,
    inference(fof_simplification,[status(thm)],[c_0_611]) ).

fof(c_0_1376,plain,
    lhs_atom447,
    inference(fof_simplification,[status(thm)],[c_0_612]) ).

fof(c_0_1377,plain,
    lhs_atom446,
    inference(fof_simplification,[status(thm)],[c_0_613]) ).

fof(c_0_1378,plain,
    lhs_atom394,
    inference(fof_simplification,[status(thm)],[c_0_614]) ).

fof(c_0_1379,plain,
    lhs_atom393,
    inference(fof_simplification,[status(thm)],[c_0_615]) ).

fof(c_0_1380,plain,
    lhs_atom392,
    inference(fof_simplification,[status(thm)],[c_0_616]) ).

fof(c_0_1381,plain,
    lhs_atom391,
    inference(fof_simplification,[status(thm)],[c_0_617]) ).

fof(c_0_1382,plain,
    lhs_atom390,
    inference(fof_simplification,[status(thm)],[c_0_618]) ).

fof(c_0_1383,plain,
    lhs_atom389,
    inference(fof_simplification,[status(thm)],[c_0_619]) ).

fof(c_0_1384,plain,
    lhs_atom388,
    inference(fof_simplification,[status(thm)],[c_0_620]) ).

fof(c_0_1385,plain,
    lhs_atom387,
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_1386,plain,
    lhs_atom386,
    inference(fof_simplification,[status(thm)],[c_0_622]) ).

fof(c_0_1387,plain,
    lhs_atom385,
    inference(fof_simplification,[status(thm)],[c_0_623]) ).

fof(c_0_1388,plain,
    lhs_atom384,
    inference(fof_simplification,[status(thm)],[c_0_624]) ).

fof(c_0_1389,plain,
    lhs_atom383,
    inference(fof_simplification,[status(thm)],[c_0_625]) ).

fof(c_0_1390,plain,
    lhs_atom382,
    inference(fof_simplification,[status(thm)],[c_0_626]) ).

fof(c_0_1391,plain,
    lhs_atom381,
    inference(fof_simplification,[status(thm)],[c_0_627]) ).

fof(c_0_1392,plain,
    lhs_atom380,
    inference(fof_simplification,[status(thm)],[c_0_628]) ).

fof(c_0_1393,plain,
    lhs_atom379,
    inference(fof_simplification,[status(thm)],[c_0_629]) ).

fof(c_0_1394,plain,
    lhs_atom275,
    inference(fof_simplification,[status(thm)],[c_0_630]) ).

fof(c_0_1395,plain,
    lhs_atom257,
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_1396,plain,
    lhs_atom254,
    inference(fof_simplification,[status(thm)],[c_0_632]) ).

fof(c_0_1397,plain,
    lhs_atom250,
    inference(fof_simplification,[status(thm)],[c_0_633]) ).

fof(c_0_1398,plain,
    lhs_atom249,
    inference(fof_simplification,[status(thm)],[c_0_634]) ).

fof(c_0_1399,plain,
    lhs_atom247,
    inference(fof_simplification,[status(thm)],[c_0_635]) ).

fof(c_0_1400,plain,
    lhs_atom246,
    inference(fof_simplification,[status(thm)],[c_0_636]) ).

fof(c_0_1401,plain,
    lhs_atom244,
    inference(fof_simplification,[status(thm)],[c_0_637]) ).

fof(c_0_1402,plain,
    lhs_atom242,
    inference(fof_simplification,[status(thm)],[c_0_638]) ).

fof(c_0_1403,plain,
    lhs_atom241,
    inference(fof_simplification,[status(thm)],[c_0_639]) ).

fof(c_0_1404,plain,
    lhs_atom228,
    inference(fof_simplification,[status(thm)],[c_0_640]) ).

fof(c_0_1405,plain,
    lhs_atom227,
    inference(fof_simplification,[status(thm)],[c_0_641]) ).

fof(c_0_1406,plain,
    lhs_atom224,
    inference(fof_simplification,[status(thm)],[c_0_642]) ).

fof(c_0_1407,plain,
    lhs_atom223,
    inference(fof_simplification,[status(thm)],[c_0_643]) ).

fof(c_0_1408,plain,
    lhs_atom207,
    inference(fof_simplification,[status(thm)],[c_0_644]) ).

fof(c_0_1409,plain,
    lhs_atom206,
    inference(fof_simplification,[status(thm)],[c_0_645]) ).

fof(c_0_1410,plain,
    lhs_atom179,
    inference(fof_simplification,[status(thm)],[c_0_646]) ).

fof(c_0_1411,plain,
    lhs_atom155,
    inference(fof_simplification,[status(thm)],[c_0_647]) ).

fof(c_0_1412,plain,
    lhs_atom154,
    inference(fof_simplification,[status(thm)],[c_0_648]) ).

fof(c_0_1413,plain,
    lhs_atom153,
    inference(fof_simplification,[status(thm)],[c_0_649]) ).

fof(c_0_1414,plain,
    lhs_atom152,
    inference(fof_simplification,[status(thm)],[c_0_650]) ).

fof(c_0_1415,plain,
    lhs_atom151,
    inference(fof_simplification,[status(thm)],[c_0_651]) ).

fof(c_0_1416,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_652]) ).

fof(c_0_1417,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_653]) ).

fof(c_0_1418,plain,
    lhs_atom148,
    inference(fof_simplification,[status(thm)],[c_0_654]) ).

fof(c_0_1419,plain,
    lhs_atom147,
    inference(fof_simplification,[status(thm)],[c_0_655]) ).

fof(c_0_1420,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_656]) ).

fof(c_0_1421,plain,
    lhs_atom145,
    inference(fof_simplification,[status(thm)],[c_0_657]) ).

fof(c_0_1422,plain,
    lhs_atom144,
    inference(fof_simplification,[status(thm)],[c_0_658]) ).

fof(c_0_1423,plain,
    lhs_atom143,
    inference(fof_simplification,[status(thm)],[c_0_659]) ).

fof(c_0_1424,plain,
    lhs_atom142,
    inference(fof_simplification,[status(thm)],[c_0_660]) ).

fof(c_0_1425,plain,
    lhs_atom141,
    inference(fof_simplification,[status(thm)],[c_0_661]) ).

fof(c_0_1426,plain,
    lhs_atom140,
    inference(fof_simplification,[status(thm)],[c_0_662]) ).

fof(c_0_1427,plain,
    lhs_atom139,
    inference(fof_simplification,[status(thm)],[c_0_663]) ).

fof(c_0_1428,plain,
    lhs_atom138,
    inference(fof_simplification,[status(thm)],[c_0_664]) ).

fof(c_0_1429,plain,
    lhs_atom137,
    inference(fof_simplification,[status(thm)],[c_0_665]) ).

fof(c_0_1430,plain,
    lhs_atom136,
    inference(fof_simplification,[status(thm)],[c_0_666]) ).

fof(c_0_1431,plain,
    lhs_atom135,
    inference(fof_simplification,[status(thm)],[c_0_667]) ).

fof(c_0_1432,plain,
    lhs_atom134,
    inference(fof_simplification,[status(thm)],[c_0_668]) ).

fof(c_0_1433,plain,
    lhs_atom133,
    inference(fof_simplification,[status(thm)],[c_0_669]) ).

fof(c_0_1434,plain,
    lhs_atom132,
    inference(fof_simplification,[status(thm)],[c_0_670]) ).

fof(c_0_1435,plain,
    lhs_atom131,
    inference(fof_simplification,[status(thm)],[c_0_671]) ).

fof(c_0_1436,plain,
    lhs_atom130,
    inference(fof_simplification,[status(thm)],[c_0_672]) ).

fof(c_0_1437,plain,
    lhs_atom129,
    inference(fof_simplification,[status(thm)],[c_0_673]) ).

fof(c_0_1438,plain,
    lhs_atom128,
    inference(fof_simplification,[status(thm)],[c_0_674]) ).

fof(c_0_1439,plain,
    lhs_atom127,
    inference(fof_simplification,[status(thm)],[c_0_675]) ).

fof(c_0_1440,plain,
    lhs_atom126,
    inference(fof_simplification,[status(thm)],[c_0_676]) ).

fof(c_0_1441,plain,
    lhs_atom125,
    inference(fof_simplification,[status(thm)],[c_0_677]) ).

fof(c_0_1442,plain,
    lhs_atom124,
    inference(fof_simplification,[status(thm)],[c_0_678]) ).

fof(c_0_1443,plain,
    lhs_atom123,
    inference(fof_simplification,[status(thm)],[c_0_679]) ).

fof(c_0_1444,plain,
    lhs_atom122,
    inference(fof_simplification,[status(thm)],[c_0_680]) ).

fof(c_0_1445,plain,
    lhs_atom121,
    inference(fof_simplification,[status(thm)],[c_0_681]) ).

fof(c_0_1446,plain,
    lhs_atom120,
    inference(fof_simplification,[status(thm)],[c_0_682]) ).

fof(c_0_1447,plain,
    lhs_atom119,
    inference(fof_simplification,[status(thm)],[c_0_683]) ).

fof(c_0_1448,plain,
    lhs_atom118,
    inference(fof_simplification,[status(thm)],[c_0_684]) ).

fof(c_0_1449,plain,
    lhs_atom117,
    inference(fof_simplification,[status(thm)],[c_0_685]) ).

fof(c_0_1450,plain,
    lhs_atom116,
    inference(fof_simplification,[status(thm)],[c_0_686]) ).

fof(c_0_1451,plain,
    lhs_atom115,
    inference(fof_simplification,[status(thm)],[c_0_687]) ).

fof(c_0_1452,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_688]) ).

fof(c_0_1453,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_689]) ).

fof(c_0_1454,plain,
    lhs_atom112,
    inference(fof_simplification,[status(thm)],[c_0_690]) ).

fof(c_0_1455,plain,
    lhs_atom111,
    inference(fof_simplification,[status(thm)],[c_0_691]) ).

fof(c_0_1456,plain,
    lhs_atom110,
    inference(fof_simplification,[status(thm)],[c_0_692]) ).

fof(c_0_1457,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_693]) ).

fof(c_0_1458,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_694]) ).

fof(c_0_1459,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_695]) ).

fof(c_0_1460,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_696]) ).

fof(c_0_1461,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_697]) ).

fof(c_0_1462,plain,
    lhs_atom103,
    inference(fof_simplification,[status(thm)],[c_0_698]) ).

fof(c_0_1463,plain,
    lhs_atom102,
    inference(fof_simplification,[status(thm)],[c_0_699]) ).

fof(c_0_1464,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_700]) ).

fof(c_0_1465,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_701]) ).

fof(c_0_1466,plain,
    lhs_atom99,
    inference(fof_simplification,[status(thm)],[c_0_702]) ).

fof(c_0_1467,plain,
    lhs_atom98,
    inference(fof_simplification,[status(thm)],[c_0_703]) ).

fof(c_0_1468,plain,
    lhs_atom97,
    inference(fof_simplification,[status(thm)],[c_0_704]) ).

fof(c_0_1469,plain,
    lhs_atom96,
    inference(fof_simplification,[status(thm)],[c_0_705]) ).

fof(c_0_1470,plain,
    lhs_atom95,
    inference(fof_simplification,[status(thm)],[c_0_706]) ).

fof(c_0_1471,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_707]) ).

fof(c_0_1472,plain,
    lhs_atom93,
    inference(fof_simplification,[status(thm)],[c_0_708]) ).

fof(c_0_1473,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_709]) ).

fof(c_0_1474,plain,
    lhs_atom91,
    inference(fof_simplification,[status(thm)],[c_0_710]) ).

fof(c_0_1475,plain,
    lhs_atom90,
    inference(fof_simplification,[status(thm)],[c_0_711]) ).

fof(c_0_1476,plain,
    lhs_atom89,
    inference(fof_simplification,[status(thm)],[c_0_712]) ).

fof(c_0_1477,plain,
    lhs_atom88,
    inference(fof_simplification,[status(thm)],[c_0_713]) ).

fof(c_0_1478,plain,
    lhs_atom87,
    inference(fof_simplification,[status(thm)],[c_0_714]) ).

fof(c_0_1479,plain,
    lhs_atom86,
    inference(fof_simplification,[status(thm)],[c_0_715]) ).

fof(c_0_1480,plain,
    lhs_atom85,
    inference(fof_simplification,[status(thm)],[c_0_716]) ).

fof(c_0_1481,plain,
    lhs_atom84,
    inference(fof_simplification,[status(thm)],[c_0_717]) ).

fof(c_0_1482,plain,
    lhs_atom83,
    inference(fof_simplification,[status(thm)],[c_0_718]) ).

fof(c_0_1483,plain,
    lhs_atom82,
    inference(fof_simplification,[status(thm)],[c_0_719]) ).

fof(c_0_1484,plain,
    lhs_atom81,
    inference(fof_simplification,[status(thm)],[c_0_720]) ).

fof(c_0_1485,plain,
    lhs_atom80,
    inference(fof_simplification,[status(thm)],[c_0_721]) ).

fof(c_0_1486,plain,
    lhs_atom79,
    inference(fof_simplification,[status(thm)],[c_0_722]) ).

fof(c_0_1487,plain,
    lhs_atom78,
    inference(fof_simplification,[status(thm)],[c_0_723]) ).

fof(c_0_1488,plain,
    lhs_atom77,
    inference(fof_simplification,[status(thm)],[c_0_724]) ).

fof(c_0_1489,plain,
    lhs_atom76,
    inference(fof_simplification,[status(thm)],[c_0_725]) ).

fof(c_0_1490,plain,
    lhs_atom75,
    inference(fof_simplification,[status(thm)],[c_0_726]) ).

fof(c_0_1491,plain,
    lhs_atom74,
    inference(fof_simplification,[status(thm)],[c_0_727]) ).

fof(c_0_1492,plain,
    lhs_atom73,
    inference(fof_simplification,[status(thm)],[c_0_728]) ).

fof(c_0_1493,plain,
    lhs_atom72,
    inference(fof_simplification,[status(thm)],[c_0_729]) ).

fof(c_0_1494,plain,
    lhs_atom71,
    inference(fof_simplification,[status(thm)],[c_0_730]) ).

fof(c_0_1495,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_731]) ).

fof(c_0_1496,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_732]) ).

fof(c_0_1497,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_733]) ).

fof(c_0_1498,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_734]) ).

fof(c_0_1499,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_735]) ).

fof(c_0_1500,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_736]) ).

fof(c_0_1501,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_737]) ).

fof(c_0_1502,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_738]) ).

fof(c_0_1503,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_739]) ).

fof(c_0_1504,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_740]) ).

fof(c_0_1505,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_741]) ).

fof(c_0_1506,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_742]) ).

fof(c_0_1507,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_743]) ).

fof(c_0_1508,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_744]) ).

fof(c_0_1509,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_745]) ).

fof(c_0_1510,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_746]) ).

fof(c_0_1511,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_747]) ).

fof(c_0_1512,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_748]) ).

fof(c_0_1513,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_749]) ).

fof(c_0_1514,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_750]) ).

fof(c_0_1515,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_751]) ).

fof(c_0_1516,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_752]) ).

fof(c_0_1517,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_753]) ).

fof(c_0_1518,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_754]) ).

fof(c_0_1519,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_755]) ).

fof(c_0_1520,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_756]) ).

fof(c_0_1521,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_757]) ).

fof(c_0_1522,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_758]) ).

fof(c_0_1523,plain,
    lhs_atom42,
    inference(fof_simplification,[status(thm)],[c_0_759]) ).

fof(c_0_1524,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_760]) ).

fof(c_0_1525,plain,
    lhs_atom40,
    inference(fof_simplification,[status(thm)],[c_0_761]) ).

fof(c_0_1526,plain,
    lhs_atom39,
    inference(fof_simplification,[status(thm)],[c_0_762]) ).

fof(c_0_1527,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_763]) ).

fof(c_0_1528,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom378(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_764]) ).

fof(c_0_1529,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom377(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_765]) ).

fof(c_0_1530,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom376(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_766]) ).

fof(c_0_1531,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom375(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_767]) ).

fof(c_0_1532,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom374(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_768]) ).

fof(c_0_1533,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom373(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1534,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom372(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_770]) ).

fof(c_0_1535,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom371(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1536,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom370(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1537,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom369(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1538,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom368(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1539,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom367(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1540,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom366(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_776]) ).

fof(c_0_1541,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom365(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_777]) ).

fof(c_0_1542,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom364(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1543,plain,
    ! [X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71] : lhs_atom363(X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1544,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom362(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_780]) ).

fof(c_0_1545,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom361(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_781]) ).

fof(c_0_1546,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom360(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_782]) ).

fof(c_0_1547,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom359(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_783]) ).

fof(c_0_1548,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom358(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_784]) ).

fof(c_0_1549,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom357(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_785]) ).

fof(c_0_1550,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom356(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_786]) ).

fof(c_0_1551,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom355(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_787]) ).

fof(c_0_1552,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom354(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_788]) ).

fof(c_0_1553,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom353(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1554,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom352(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_790]) ).

fof(c_0_1555,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom351(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_791]) ).

fof(c_0_1556,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom350(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_792]) ).

fof(c_0_1557,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom349(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_793]) ).

fof(c_0_1558,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72] : lhs_atom348(X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72),
    inference(variable_rename,[status(thm)],[c_0_794]) ).

fof(c_0_1559,plain,
    ! [X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71] : lhs_atom347(X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_795]) ).

fof(c_0_1560,plain,
    ! [X85,X86,X87,X88,X89,X90,X91] : lhs_atom757(X85,X86,X87,X88,X89,X90,X91),
    inference(variable_rename,[status(thm)],[c_0_796]) ).

fof(c_0_1561,plain,
    ! [X35,X36,X37,X38,X39,X40] : lhs_atom443(X35,X36,X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1562,plain,
    ! [X31,X32,X33,X34,X35,X36] : lhs_atom441(X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1563,plain,
    ! [X78,X79,X80,X81,X82] : lhs_atom673(X78,X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1564,plain,
    ! [X78,X79,X80,X81,X82] : lhs_atom672(X78,X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1565,plain,
    ! [X78,X79,X80,X81,X82] : lhs_atom671(X78,X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1566,plain,
    ! [X78,X79,X80,X81,X82] : lhs_atom670(X78,X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_802]) ).

fof(c_0_1567,plain,
    ! [X31,X32,X33,X34,X35] : lhs_atom341(X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_803]) ).

fof(c_0_1568,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom198(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_804]) ).

fof(c_0_1569,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom191(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_805]) ).

fof(c_0_1570,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom190(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_806]) ).

fof(c_0_1571,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom189(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_807]) ).

fof(c_0_1572,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom188(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_808]) ).

fof(c_0_1573,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom186(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_809]) ).

fof(c_0_1574,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom180(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_810]) ).

fof(c_0_1575,plain,
    ! [X83,X84,X85,X86] : lhs_atom749(X83,X84,X85,X86),
    inference(variable_rename,[status(thm)],[c_0_811]) ).

fof(c_0_1576,plain,
    ! [X83,X84,X85,X86] : lhs_atom744(X83,X84,X85,X86),
    inference(variable_rename,[status(thm)],[c_0_812]) ).

fof(c_0_1577,plain,
    ! [X81,X82,X83,X84] : lhs_atom694(X81,X82,X83,X84),
    inference(variable_rename,[status(thm)],[c_0_813]) ).

fof(c_0_1578,plain,
    ! [X81,X82,X83,X84] : lhs_atom692(X81,X82,X83,X84),
    inference(variable_rename,[status(thm)],[c_0_814]) ).

fof(c_0_1579,plain,
    ! [X79,X80,X81,X82] : lhs_atom684(X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_815]) ).

fof(c_0_1580,plain,
    ! [X79,X80,X81,X82] : lhs_atom681(X79,X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_816]) ).

fof(c_0_1581,plain,
    ! [X76,X77,X78,X79] : lhs_atom675(X76,X77,X78,X79),
    inference(variable_rename,[status(thm)],[c_0_817]) ).

fof(c_0_1582,plain,
    ! [X76,X77,X78,X79] : lhs_atom674(X76,X77,X78,X79),
    inference(variable_rename,[status(thm)],[c_0_818]) ).

fof(c_0_1583,plain,
    ! [X19,X20,X21,X22] : lhs_atom625(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_819]) ).

fof(c_0_1584,plain,
    ! [X19,X20,X21,X22] : lhs_atom624(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_820]) ).

fof(c_0_1585,plain,
    ! [X41,X42,X43,X44] : lhs_atom619(X41,X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_821]) ).

fof(c_0_1586,plain,
    ! [X41,X42,X43,X44] : lhs_atom605(X41,X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1587,plain,
    ! [X61,X62,X63,X64] : lhs_atom604(X61,X62,X63,X64),
    inference(variable_rename,[status(thm)],[c_0_823]) ).

fof(c_0_1588,plain,
    ! [X19,X20,X21,X22] : lhs_atom535(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_824]) ).

fof(c_0_1589,plain,
    ! [X19,X20,X21,X22] : lhs_atom533(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_825]) ).

fof(c_0_1590,plain,
    ! [X6,X7,X8,X9] : lhs_atom435(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_826]) ).

fof(c_0_1591,plain,
    ! [X23,X24,X25,X26] : lhs_atom434(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_827]) ).

fof(c_0_1592,plain,
    ! [X31,X32,X33,X34] : lhs_atom431(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_828]) ).

fof(c_0_1593,plain,
    ! [X10,X11,X12,X13] : lhs_atom430(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_829]) ).

fof(c_0_1594,plain,
    ! [X31,X32,X33,X34] : lhs_atom402(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_830]) ).

fof(c_0_1595,plain,
    ! [X31,X32,X33,X34] : lhs_atom399(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_831]) ).

fof(c_0_1596,plain,
    ! [X31,X32,X33,X34] : lhs_atom398(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_832]) ).

fof(c_0_1597,plain,
    ! [X10,X11,X12,X13] : lhs_atom397(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_833]) ).

fof(c_0_1598,plain,
    ! [X37,X38,X39,X40] : lhs_atom334(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_834]) ).

fof(c_0_1599,plain,
    ! [X31,X32,X33,X34] : lhs_atom332(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_835]) ).

fof(c_0_1600,plain,
    ! [X23,X24,X25,X26] : lhs_atom324(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_836]) ).

fof(c_0_1601,plain,
    ! [X31,X32,X33,X34] : lhs_atom315(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_837]) ).

fof(c_0_1602,plain,
    ! [X23,X24,X25,X26] : lhs_atom310(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_838]) ).

fof(c_0_1603,plain,
    ! [X6,X7,X8,X9] : lhs_atom309(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_839]) ).

fof(c_0_1604,plain,
    ! [X31,X32,X33,X34] : lhs_atom308(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_840]) ).

fof(c_0_1605,plain,
    ! [X10,X11,X12,X13] : lhs_atom307(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_841]) ).

fof(c_0_1606,plain,
    ! [X32,X33,X34,X35] : lhs_atom292(X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_842]) ).

fof(c_0_1607,plain,
    ! [X23,X24,X25,X26] : lhs_atom197(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_843]) ).

fof(c_0_1608,plain,
    ! [X19,X20,X21,X22] : lhs_atom196(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_844]) ).

fof(c_0_1609,plain,
    ! [X21,X22,X23,X24] : lhs_atom195(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_845]) ).

fof(c_0_1610,plain,
    ! [X21,X22,X23,X24] : lhs_atom194(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_846]) ).

fof(c_0_1611,plain,
    ! [X19,X20,X21,X22] : lhs_atom193(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_847]) ).

fof(c_0_1612,plain,
    ! [X19,X20,X21,X22] : lhs_atom187(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_848]) ).

fof(c_0_1613,plain,
    ! [X19,X20,X21,X22] : lhs_atom185(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_849]) ).

fof(c_0_1614,plain,
    ! [X21,X22,X23,X24] : lhs_atom184(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_850]) ).

fof(c_0_1615,plain,
    ! [X21,X22,X23,X24] : lhs_atom183(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_851]) ).

fof(c_0_1616,plain,
    ! [X22,X23,X24,X25] : lhs_atom182(X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_852]) ).

fof(c_0_1617,plain,
    ! [X22,X23,X24,X25] : lhs_atom181(X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_853]) ).

fof(c_0_1618,plain,
    ! [X19,X20,X21,X22] : lhs_atom173(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_854]) ).

fof(c_0_1619,plain,
    ! [X5,X6] :
      ( lhs_atom482(X5,X6)
      | c_times(X6,c_0,tc_nat) = c_times(X5,c_0,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_855]) ).

fof(c_0_1620,plain,
    ! [X5,X6] :
      ( lhs_atom481(X5,X6)
      | c_times(c_0,X6,tc_nat) = c_times(c_0,X5,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_856]) ).

fof(c_0_1621,plain,
    ! [X79,X80,X81] : lhs_atom756(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_857]) ).

fof(c_0_1622,plain,
    ! [X61,X62,X63] : lhs_atom755(X61,X62,X63),
    inference(variable_rename,[status(thm)],[c_0_858]) ).

fof(c_0_1623,plain,
    ! [X61,X62,X63] : lhs_atom754(X61,X62,X63),
    inference(variable_rename,[status(thm)],[c_0_859]) ).

fof(c_0_1624,plain,
    ! [X79,X80,X81] : lhs_atom748(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_860]) ).

fof(c_0_1625,plain,
    ! [X41,X42,X43] : lhs_atom747(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_861]) ).

fof(c_0_1626,plain,
    ! [X61,X62,X63] : lhs_atom746(X61,X62,X63),
    inference(variable_rename,[status(thm)],[c_0_862]) ).

fof(c_0_1627,plain,
    ! [X79,X80,X81] : lhs_atom745(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_863]) ).

fof(c_0_1628,plain,
    ! [X61,X62,X63] : lhs_atom743(X61,X62,X63),
    inference(variable_rename,[status(thm)],[c_0_864]) ).

fof(c_0_1629,plain,
    ! [X25,X26,X27] : lhs_atom735(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_865]) ).

fof(c_0_1630,plain,
    ! [X24,X25,X26] : lhs_atom734(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_866]) ).

fof(c_0_1631,plain,
    ! [X25,X26,X27] : lhs_atom731(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_867]) ).

fof(c_0_1632,plain,
    ! [X24,X25,X26] : lhs_atom730(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_868]) ).

fof(c_0_1633,plain,
    ! [X79,X80,X81] : lhs_atom728(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_869]) ).

fof(c_0_1634,plain,
    ! [X69,X70,X71] : lhs_atom721(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_870]) ).

fof(c_0_1635,plain,
    ! [X69,X70,X71] : lhs_atom718(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_871]) ).

fof(c_0_1636,plain,
    ! [X68,X69,X70] : lhs_atom717(X68,X69,X70),
    inference(variable_rename,[status(thm)],[c_0_872]) ).

fof(c_0_1637,plain,
    ! [X69,X70,X71] : lhs_atom713(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_873]) ).

fof(c_0_1638,plain,
    ! [X69,X70,X71] : lhs_atom707(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_874]) ).

fof(c_0_1639,plain,
    ! [X69,X70,X71] : lhs_atom705(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_875]) ).

fof(c_0_1640,plain,
    ! [X69,X70,X71] : lhs_atom698(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_876]) ).

fof(c_0_1641,plain,
    ! [X69,X70,X71] : lhs_atom697(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_877]) ).

fof(c_0_1642,plain,
    ! [X69,X70,X71] : lhs_atom696(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_878]) ).

fof(c_0_1643,plain,
    ! [X80,X81,X82] : lhs_atom695(X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_879]) ).

fof(c_0_1644,plain,
    ! [X69,X70,X71] : lhs_atom693(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_880]) ).

fof(c_0_1645,plain,
    ! [X80,X81,X82] : lhs_atom691(X80,X81,X82),
    inference(variable_rename,[status(thm)],[c_0_881]) ).

fof(c_0_1646,plain,
    ! [X69,X70,X71] : lhs_atom690(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_882]) ).

fof(c_0_1647,plain,
    ! [X69,X70,X71] : lhs_atom689(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_883]) ).

fof(c_0_1648,plain,
    ! [X69,X70,X71] : lhs_atom688(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_884]) ).

fof(c_0_1649,plain,
    ! [X69,X70,X71] : lhs_atom687(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_885]) ).

fof(c_0_1650,plain,
    ! [X79,X80,X81] : lhs_atom683(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_886]) ).

fof(c_0_1651,plain,
    ! [X79,X80,X81] : lhs_atom682(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_887]) ).

fof(c_0_1652,plain,
    ! [X79,X80,X81] : lhs_atom680(X79,X80,X81),
    inference(variable_rename,[status(thm)],[c_0_888]) ).

fof(c_0_1653,plain,
    ! [X78,X79,X80] : lhs_atom676(X78,X79,X80),
    inference(variable_rename,[status(thm)],[c_0_889]) ).

fof(c_0_1654,plain,
    ! [X41,X42,X43] : lhs_atom667(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_890]) ).

fof(c_0_1655,plain,
    ! [X69,X70,X71] : lhs_atom654(X69,X70,X71),
    inference(variable_rename,[status(thm)],[c_0_891]) ).

fof(c_0_1656,plain,
    ! [X68,X69,X70] : lhs_atom651(X68,X69,X70),
    inference(variable_rename,[status(thm)],[c_0_892]) ).

fof(c_0_1657,plain,
    ! [X11,X12,X13] : lhs_atom620(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_893]) ).

fof(c_0_1658,plain,
    ! [X10,X11,X12] : lhs_atom618(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_894]) ).

fof(c_0_1659,plain,
    ! [X10,X11,X12] : lhs_atom617(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_895]) ).

fof(c_0_1660,plain,
    ! [X11,X12,X13] : lhs_atom616(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_896]) ).

fof(c_0_1661,plain,
    ! [X11,X12,X13] : lhs_atom615(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_897]) ).

fof(c_0_1662,plain,
    ! [X41,X42,X43] : lhs_atom610(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_898]) ).

fof(c_0_1663,plain,
    ! [X41,X42,X43] : lhs_atom608(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_899]) ).

fof(c_0_1664,plain,
    ! [X41,X42,X43] : lhs_atom597(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_900]) ).

fof(c_0_1665,plain,
    ! [X41,X42,X43] : lhs_atom596(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_901]) ).

fof(c_0_1666,plain,
    ! [X41,X42,X43] : lhs_atom592(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_902]) ).

fof(c_0_1667,plain,
    ! [X41,X42,X43] : lhs_atom591(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_903]) ).

fof(c_0_1668,plain,
    ! [X41,X42,X43] : lhs_atom582(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_904]) ).

fof(c_0_1669,plain,
    ! [X41,X42,X43] : lhs_atom580(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_905]) ).

fof(c_0_1670,plain,
    ! [X41,X42,X43] : lhs_atom577(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_906]) ).

fof(c_0_1671,plain,
    ! [X41,X42,X43] : lhs_atom573(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_907]) ).

fof(c_0_1672,plain,
    ! [X41,X42,X43] : lhs_atom571(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_908]) ).

fof(c_0_1673,plain,
    ! [X41,X42,X43] : lhs_atom570(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_909]) ).

fof(c_0_1674,plain,
    ! [X60,X61,X62] : lhs_atom555(X60,X61,X62),
    inference(variable_rename,[status(thm)],[c_0_910]) ).

fof(c_0_1675,plain,
    ! [X19,X20,X21] : lhs_atom549(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_911]) ).

fof(c_0_1676,plain,
    ! [X19,X20,X21] : lhs_atom544(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_912]) ).

fof(c_0_1677,plain,
    ! [X60,X61,X62] : lhs_atom543(X60,X61,X62),
    inference(variable_rename,[status(thm)],[c_0_913]) ).

fof(c_0_1678,plain,
    ! [X41,X42,X43] : lhs_atom542(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_914]) ).

fof(c_0_1679,plain,
    ! [X19,X20,X21] : lhs_atom540(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_915]) ).

fof(c_0_1680,plain,
    ! [X26,X27,X28] : lhs_atom536(X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_916]) ).

fof(c_0_1681,plain,
    ! [X19,X20,X21] : lhs_atom534(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_917]) ).

fof(c_0_1682,plain,
    ! [X25,X26,X27] : lhs_atom524(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_918]) ).

fof(c_0_1683,plain,
    ! [X24,X25,X26] : lhs_atom523(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_919]) ).

fof(c_0_1684,plain,
    ! [X25,X26,X27] : lhs_atom520(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_920]) ).

fof(c_0_1685,plain,
    ! [X24,X25,X26] : lhs_atom519(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_921]) ).

fof(c_0_1686,plain,
    ! [X30,X31,X32] : lhs_atom496(X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_922]) ).

fof(c_0_1687,plain,
    ! [X35,X36,X37] : lhs_atom467(X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_923]) ).

fof(c_0_1688,plain,
    ! [X5,X6,X7] : lhs_atom459(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_924]) ).

fof(c_0_1689,plain,
    ! [X31,X32,X33] : lhs_atom442(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_925]) ).

fof(c_0_1690,plain,
    ! [X58,X59,X60] : lhs_atom440(X58,X59,X60),
    inference(variable_rename,[status(thm)],[c_0_926]) ).

fof(c_0_1691,plain,
    ! [X57,X58,X59] : lhs_atom439(X57,X58,X59),
    inference(variable_rename,[status(thm)],[c_0_927]) ).

fof(c_0_1692,plain,
    ! [X16,X17,X18] : lhs_atom437(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_928]) ).

fof(c_0_1693,plain,
    ! [X9,X10,X11] : lhs_atom429(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_929]) ).

fof(c_0_1694,plain,
    ! [X6,X7,X8] : lhs_atom425(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_930]) ).

fof(c_0_1695,plain,
    ! [X31,X32,X33] : lhs_atom420(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_931]) ).

fof(c_0_1696,plain,
    ! [X16,X17,X18] : lhs_atom419(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_932]) ).

fof(c_0_1697,plain,
    ! [X6,X7,X8] : lhs_atom417(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_933]) ).

fof(c_0_1698,plain,
    ! [X10,X11,X12] : lhs_atom413(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_934]) ).

fof(c_0_1699,plain,
    ! [X31,X32,X33] : lhs_atom412(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_935]) ).

fof(c_0_1700,plain,
    ! [X31,X32,X33] : lhs_atom411(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_936]) ).

fof(c_0_1701,plain,
    ! [X16,X17,X18] : lhs_atom410(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_937]) ).

fof(c_0_1702,plain,
    ! [X16,X17,X18] : lhs_atom409(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_938]) ).

fof(c_0_1703,plain,
    ! [X10,X11,X12] : lhs_atom407(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_939]) ).

fof(c_0_1704,plain,
    ! [X31,X32,X33] : lhs_atom404(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_940]) ).

fof(c_0_1705,plain,
    ! [X16,X17,X18] : lhs_atom401(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_941]) ).

fof(c_0_1706,plain,
    ! [X15,X16,X17] : lhs_atom396(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_942]) ).

fof(c_0_1707,plain,
    ! [X10,X11,X12] : lhs_atom395(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_943]) ).

fof(c_0_1708,plain,
    ! [X42,X43,X44] : lhs_atom346(X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_944]) ).

fof(c_0_1709,plain,
    ! [X41,X42,X43] : lhs_atom343(X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_945]) ).

fof(c_0_1710,plain,
    ! [X30,X31,X32] : lhs_atom340(X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_946]) ).

fof(c_0_1711,plain,
    ! [X39,X40,X41] : lhs_atom338(X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_947]) ).

fof(c_0_1712,plain,
    ! [X38,X39,X40] : lhs_atom337(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_948]) ).

fof(c_0_1713,plain,
    ! [X38,X39,X40] : lhs_atom336(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_949]) ).

fof(c_0_1714,plain,
    ! [X12,X13,X14] : lhs_atom335(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_950]) ).

fof(c_0_1715,plain,
    ! [X6,X7,X8] : lhs_atom329(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_951]) ).

fof(c_0_1716,plain,
    ! [X6,X7,X8] : lhs_atom328(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_952]) ).

fof(c_0_1717,plain,
    ! [X15,X16,X17] : lhs_atom325(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_953]) ).

fof(c_0_1718,plain,
    ! [X6,X7,X8] : lhs_atom322(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_954]) ).

fof(c_0_1719,plain,
    ! [X31,X32,X33] : lhs_atom320(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_955]) ).

fof(c_0_1720,plain,
    ! [X15,X16,X17] : lhs_atom318(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_956]) ).

fof(c_0_1721,plain,
    ! [X10,X11,X12] : lhs_atom313(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_957]) ).

fof(c_0_1722,plain,
    ! [X15,X16,X17] : lhs_atom312(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_958]) ).

fof(c_0_1723,plain,
    ! [X35,X36,X37] : lhs_atom311(X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_959]) ).

fof(c_0_1724,plain,
    ! [X31,X32,X33] : lhs_atom302(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_960]) ).

fof(c_0_1725,plain,
    ! [X16,X17,X18] : lhs_atom301(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_961]) ).

fof(c_0_1726,plain,
    ! [X15,X16,X17] : lhs_atom298(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_962]) ).

fof(c_0_1727,plain,
    ! [X15,X16,X17] : lhs_atom295(X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_963]) ).

fof(c_0_1728,plain,
    ! [X31,X32,X33] : lhs_atom291(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_964]) ).

fof(c_0_1729,plain,
    ! [X12,X13,X14] : lhs_atom288(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_965]) ).

fof(c_0_1730,plain,
    ! [X25,X26,X27] : lhs_atom226(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_966]) ).

fof(c_0_1731,plain,
    ! [X24,X25,X26] : lhs_atom225(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_967]) ).

fof(c_0_1732,plain,
    ! [X25,X26,X27] : lhs_atom222(X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_968]) ).

fof(c_0_1733,plain,
    ! [X24,X25,X26] : lhs_atom221(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_969]) ).

fof(c_0_1734,plain,
    ! [X5,X6,X7] : lhs_atom215(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_970]) ).

fof(c_0_1735,plain,
    ! [X5,X6,X7] : lhs_atom213(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_971]) ).

fof(c_0_1736,plain,
    ! [X21,X22,X23] : lhs_atom200(X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_972]) ).

fof(c_0_1737,plain,
    ! [X21,X22,X23] : lhs_atom199(X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_973]) ).

fof(c_0_1738,plain,
    ! [X21,X22,X23] : lhs_atom192(X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_974]) ).

fof(c_0_1739,plain,
    ! [X19,X20,X21] : lhs_atom175(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_975]) ).

fof(c_0_1740,plain,
    ! [X19,X20,X21] : lhs_atom174(X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_976]) ).

fof(c_0_1741,plain,
    ! [X12,X13,X14] : lhs_atom36(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_977]) ).

fof(c_0_1742,plain,
    ! [X79,X80] : lhs_atom753(X79,X80),
    inference(variable_rename,[status(thm)],[c_0_978]) ).

fof(c_0_1743,plain,
    ! [X79,X80] : lhs_atom752(X79,X80),
    inference(variable_rename,[status(thm)],[c_0_979]) ).

fof(c_0_1744,plain,
    ! [X18,X19] : lhs_atom742(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_980]) ).

fof(c_0_1745,plain,
    ! [X41,X42] : lhs_atom741(X41,X42),
    inference(variable_rename,[status(thm)],[c_0_981]) ).

fof(c_0_1746,plain,
    ! [X18,X19] : lhs_atom740(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_982]) ).

fof(c_0_1747,plain,
    ! [X18,X19] : lhs_atom739(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_983]) ).

fof(c_0_1748,plain,
    ! [X41,X42] : lhs_atom726(X41,X42),
    inference(variable_rename,[status(thm)],[c_0_984]) ).

fof(c_0_1749,plain,
    ! [X68,X69] : lhs_atom725(X68,X69),
    inference(variable_rename,[status(thm)],[c_0_985]) ).

fof(c_0_1750,plain,
    ! [X66,X67] : lhs_atom723(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_986]) ).

fof(c_0_1751,plain,
    ! [X66,X67] : lhs_atom722(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_987]) ).

fof(c_0_1752,plain,
    ! [X68,X69] : lhs_atom720(X68,X69),
    inference(variable_rename,[status(thm)],[c_0_988]) ).

fof(c_0_1753,plain,
    ! [X67,X68] : lhs_atom719(X67,X68),
    inference(variable_rename,[status(thm)],[c_0_989]) ).

fof(c_0_1754,plain,
    ! [X82,X83] : lhs_atom716(X82,X83),
    inference(variable_rename,[status(thm)],[c_0_990]) ).

fof(c_0_1755,plain,
    ! [X74,X75] : lhs_atom712(X74,X75),
    inference(variable_rename,[status(thm)],[c_0_991]) ).

fof(c_0_1756,plain,
    ! [X66,X67] : lhs_atom709(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_992]) ).

fof(c_0_1757,plain,
    ! [X66,X67] : lhs_atom708(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_993]) ).

fof(c_0_1758,plain,
    ! [X67,X68] : lhs_atom706(X67,X68),
    inference(variable_rename,[status(thm)],[c_0_994]) ).

fof(c_0_1759,plain,
    ! [X82,X83] : lhs_atom704(X82,X83),
    inference(variable_rename,[status(thm)],[c_0_995]) ).

fof(c_0_1760,plain,
    ! [X74,X75] : lhs_atom701(X74,X75),
    inference(variable_rename,[status(thm)],[c_0_996]) ).

fof(c_0_1761,plain,
    ! [X66,X67] : lhs_atom700(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_997]) ).

fof(c_0_1762,plain,
    ! [X67,X68] : lhs_atom699(X67,X68),
    inference(variable_rename,[status(thm)],[c_0_998]) ).

fof(c_0_1763,plain,
    ! [X67,X68] : lhs_atom686(X67,X68),
    inference(variable_rename,[status(thm)],[c_0_999]) ).

fof(c_0_1764,plain,
    ! [X66,X67] : lhs_atom685(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_1000]) ).

fof(c_0_1765,plain,
    ! [X71,X72] : lhs_atom678(X71,X72),
    inference(variable_rename,[status(thm)],[c_0_1001]) ).

fof(c_0_1766,plain,
    ! [X71,X72] : lhs_atom677(X71,X72),
    inference(variable_rename,[status(thm)],[c_0_1002]) ).

fof(c_0_1767,plain,
    ! [X74,X75] : lhs_atom664(X74,X75),
    inference(variable_rename,[status(thm)],[c_0_1003]) ).

fof(c_0_1768,plain,
    ! [X71,X72] : lhs_atom663(X71,X72),
    inference(variable_rename,[status(thm)],[c_0_1004]) ).

fof(c_0_1769,plain,
    ! [X73,X74] : lhs_atom662(X73,X74),
    inference(variable_rename,[status(thm)],[c_0_1005]) ).

fof(c_0_1770,plain,
    ! [X66,X67] : lhs_atom656(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_1006]) ).

fof(c_0_1771,plain,
    ! [X66,X67] : lhs_atom655(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_1007]) ).

fof(c_0_1772,plain,
    ! [X68,X69] : lhs_atom653(X68,X69),
    inference(variable_rename,[status(thm)],[c_0_1008]) ).

fof(c_0_1773,plain,
    ! [X67,X68] : lhs_atom652(X67,X68),
    inference(variable_rename,[status(thm)],[c_0_1009]) ).

fof(c_0_1774,plain,
    ! [X66,X67] : lhs_atom650(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_1010]) ).

fof(c_0_1775,plain,
    ! [X66,X67] : lhs_atom648(X66,X67),
    inference(variable_rename,[status(thm)],[c_0_1011]) ).

fof(c_0_1776,plain,
    ! [X12,X13] : lhs_atom637(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1012]) ).

fof(c_0_1777,plain,
    ! [X12,X13] : lhs_atom636(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1013]) ).

fof(c_0_1778,plain,
    ! [X12,X13] : lhs_atom634(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1014]) ).

fof(c_0_1779,plain,
    ! [X60,X61] : lhs_atom633(X60,X61),
    inference(variable_rename,[status(thm)],[c_0_1015]) ).

fof(c_0_1780,plain,
    ! [X60,X61] : lhs_atom632(X60,X61),
    inference(variable_rename,[status(thm)],[c_0_1016]) ).

fof(c_0_1781,plain,
    ! [X12,X13] : lhs_atom631(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1017]) ).

fof(c_0_1782,plain,
    ! [X12,X13] : lhs_atom629(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1018]) ).

fof(c_0_1783,plain,
    ! [X60,X61] : lhs_atom628(X60,X61),
    inference(variable_rename,[status(thm)],[c_0_1019]) ).

fof(c_0_1784,plain,
    ! [X60,X61] : lhs_atom627(X60,X61),
    inference(variable_rename,[status(thm)],[c_0_1020]) ).

fof(c_0_1785,plain,
    ! [X19,X20] : lhs_atom626(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_1021]) ).

fof(c_0_1786,plain,
    ! [X7,X8] : lhs_atom622(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1022]) ).

fof(c_0_1787,plain,
    ! [X7,X8] : lhs_atom621(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1023]) ).

fof(c_0_1788,plain,
    ! [X62,X63] : lhs_atom614(X62,X63),
    inference(variable_rename,[status(thm)],[c_0_1024]) ).

fof(c_0_1789,plain,
    ! [X7,X8] : lhs_atom613(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1025]) ).

fof(c_0_1790,plain,
    ! [X15,X16] : lhs_atom612(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1026]) ).

fof(c_0_1791,plain,
    ! [X15,X16] : lhs_atom611(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1027]) ).

fof(c_0_1792,plain,
    ! [X15,X16] : lhs_atom606(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1028]) ).

fof(c_0_1793,plain,
    ! [X15,X16] : lhs_atom603(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1029]) ).

fof(c_0_1794,plain,
    ! [X15,X16] : lhs_atom602(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1030]) ).

fof(c_0_1795,plain,
    ! [X15,X16] : lhs_atom600(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1031]) ).

fof(c_0_1796,plain,
    ! [X7,X8] : lhs_atom599(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1032]) ).

fof(c_0_1797,plain,
    ! [X41,X42] : lhs_atom598(X41,X42),
    inference(variable_rename,[status(thm)],[c_0_1033]) ).

fof(c_0_1798,plain,
    ! [X7,X8] : lhs_atom588(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1034]) ).

fof(c_0_1799,plain,
    ! [X41,X42] : lhs_atom587(X41,X42),
    inference(variable_rename,[status(thm)],[c_0_1035]) ).

fof(c_0_1800,plain,
    ! [X15,X16] : lhs_atom586(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1036]) ).

fof(c_0_1801,plain,
    ! [X15,X16] : lhs_atom585(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1037]) ).

fof(c_0_1802,plain,
    ! [X15,X16] : lhs_atom584(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1038]) ).

fof(c_0_1803,plain,
    ! [X15,X16] : lhs_atom581(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1039]) ).

fof(c_0_1804,plain,
    ! [X7,X8] : lhs_atom579(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1040]) ).

fof(c_0_1805,plain,
    ! [X7,X8] : lhs_atom578(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1041]) ).

fof(c_0_1806,plain,
    ! [X7,X8] : lhs_atom575(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1042]) ).

fof(c_0_1807,plain,
    ! [X7,X8] : lhs_atom574(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1043]) ).

fof(c_0_1808,plain,
    ! [X9,X10] : lhs_atom567(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1044]) ).

fof(c_0_1809,plain,
    ! [X9,X10] : lhs_atom566(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1045]) ).

fof(c_0_1810,plain,
    ! [X9,X10] : lhs_atom565(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1046]) ).

fof(c_0_1811,plain,
    ! [X9,X10] : lhs_atom564(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1047]) ).

fof(c_0_1812,plain,
    ! [X9,X10] : lhs_atom562(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1048]) ).

fof(c_0_1813,plain,
    ! [X9,X10] : lhs_atom561(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1049]) ).

fof(c_0_1814,plain,
    ! [X9,X10] : lhs_atom560(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1050]) ).

fof(c_0_1815,plain,
    ! [X9,X10] : lhs_atom559(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1051]) ).

fof(c_0_1816,plain,
    ! [X60,X61] : lhs_atom554(X60,X61),
    inference(variable_rename,[status(thm)],[c_0_1052]) ).

fof(c_0_1817,plain,
    ! [X15,X16] : lhs_atom553(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1053]) ).

fof(c_0_1818,plain,
    ! [X10,X11] : lhs_atom552(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1054]) ).

fof(c_0_1819,plain,
    ! [X7,X8] : lhs_atom550(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1055]) ).

fof(c_0_1820,plain,
    ! [X19,X20] : lhs_atom547(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_1056]) ).

fof(c_0_1821,plain,
    ! [X15,X16] : lhs_atom546(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1057]) ).

fof(c_0_1822,plain,
    ! [X15,X16] : lhs_atom541(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1058]) ).

fof(c_0_1823,plain,
    ! [X19,X20] : lhs_atom539(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_1059]) ).

fof(c_0_1824,plain,
    ! [X15,X16] : lhs_atom538(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1060]) ).

fof(c_0_1825,plain,
    ! [X29,X30] : lhs_atom532(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_1061]) ).

fof(c_0_1826,plain,
    ! [X30,X31] : lhs_atom508(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1062]) ).

fof(c_0_1827,plain,
    ! [X30,X31] : lhs_atom507(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1063]) ).

fof(c_0_1828,plain,
    ! [X30,X31] : lhs_atom498(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1064]) ).

fof(c_0_1829,plain,
    ! [X30,X31] : lhs_atom497(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1065]) ).

fof(c_0_1830,plain,
    ! [X5,X6] : lhs_atom492(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1066]) ).

fof(c_0_1831,plain,
    ! [X5,X6] : lhs_atom490(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1067]) ).

fof(c_0_1832,plain,
    ! [X35,X36] : lhs_atom485(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_1068]) ).

fof(c_0_1833,plain,
    ! [X35,X36] : lhs_atom484(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_1069]) ).

fof(c_0_1834,plain,
    ! [X5,X6] : lhs_atom480(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1070]) ).

fof(c_0_1835,plain,
    ! [X5,X6] : lhs_atom478(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1071]) ).

fof(c_0_1836,plain,
    ! [X5,X6] : lhs_atom475(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1072]) ).

fof(c_0_1837,plain,
    ! [X5,X6] : lhs_atom468(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1073]) ).

fof(c_0_1838,plain,
    ! [X5,X6] : lhs_atom466(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1074]) ).

fof(c_0_1839,plain,
    ! [X5,X6] : lhs_atom463(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1075]) ).

fof(c_0_1840,plain,
    ! [X5,X6] : lhs_atom457(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1076]) ).

fof(c_0_1841,plain,
    ! [X5,X6] : lhs_atom455(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1077]) ).

fof(c_0_1842,plain,
    ! [X30,X31] : lhs_atom450(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1078]) ).

fof(c_0_1843,plain,
    ! [X30,X31] : lhs_atom449(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1079]) ).

fof(c_0_1844,plain,
    ! [X5,X6] : lhs_atom444(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1080]) ).

fof(c_0_1845,plain,
    ! [X5,X6] : lhs_atom433(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1081]) ).

fof(c_0_1846,plain,
    ! [X6,X7] : lhs_atom432(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1082]) ).

fof(c_0_1847,plain,
    ! [X7,X8] : lhs_atom428(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1083]) ).

fof(c_0_1848,plain,
    ! [X6,X7] : lhs_atom427(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1084]) ).

fof(c_0_1849,plain,
    ! [X10,X11] : lhs_atom426(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1085]) ).

fof(c_0_1850,plain,
    ! [X6,X7] : lhs_atom424(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1086]) ).

fof(c_0_1851,plain,
    ! [X6,X7] : lhs_atom423(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1087]) ).

fof(c_0_1852,plain,
    ! [X6,X7] : lhs_atom422(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1088]) ).

fof(c_0_1853,plain,
    ! [X6,X7] : lhs_atom294(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1089]) ).

fof(c_0_1854,plain,
    ! [X31,X32] : lhs_atom293(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_1090]) ).

fof(c_0_1855,plain,
    ! [X5,X6] : lhs_atom418(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1091]) ).

fof(c_0_1856,plain,
    ! [X10,X11] : lhs_atom415(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1092]) ).

fof(c_0_1857,plain,
    ! [X15,X16] : lhs_atom414(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1093]) ).

fof(c_0_1858,plain,
    ! [X16,X17] : lhs_atom408(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1094]) ).

fof(c_0_1859,plain,
    ! [X16,X17] : lhs_atom406(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1095]) ).

fof(c_0_1860,plain,
    ! [X16,X17] : lhs_atom403(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1096]) ).

fof(c_0_1861,plain,
    ! [X12,X13] : lhs_atom342(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1097]) ).

fof(c_0_1862,plain,
    ! [X40,X41] : lhs_atom339(X40,X41),
    inference(variable_rename,[status(thm)],[c_0_1098]) ).

fof(c_0_1863,plain,
    ! [X16,X17] : lhs_atom333(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1099]) ).

fof(c_0_1864,plain,
    ! [X35,X36] : lhs_atom331(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_1100]) ).

fof(c_0_1865,plain,
    ! [X6,X7] : lhs_atom330(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1101]) ).

fof(c_0_1866,plain,
    ! [X6,X7] : lhs_atom327(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1102]) ).

fof(c_0_1867,plain,
    ! [X6,X7] : lhs_atom326(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1103]) ).

fof(c_0_1868,plain,
    ! [X6,X7] : lhs_atom321(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1104]) ).

fof(c_0_1869,plain,
    ! [X6,X7] : lhs_atom317(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1105]) ).

fof(c_0_1870,plain,
    ! [X10,X11] : lhs_atom316(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1106]) ).

fof(c_0_1871,plain,
    ! [X16,X17] : lhs_atom314(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1107]) ).

fof(c_0_1872,plain,
    ! [X15,X16] : lhs_atom306(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1108]) ).

fof(c_0_1873,plain,
    ! [X16,X17] : lhs_atom305(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1109]) ).

fof(c_0_1874,plain,
    ! [X35,X36] : lhs_atom304(X35,X36),
    inference(variable_rename,[status(thm)],[c_0_1110]) ).

fof(c_0_1875,plain,
    ! [X34,X35] : lhs_atom299(X34,X35),
    inference(variable_rename,[status(thm)],[c_0_1111]) ).

fof(c_0_1876,plain,
    ! [X16,X17] : lhs_atom297(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1112]) ).

fof(c_0_1877,plain,
    ! [X6,X7] : lhs_atom294(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1113]) ).

fof(c_0_1878,plain,
    ! [X31,X32] : lhs_atom293(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_1114]) ).

fof(c_0_1879,plain,
    ! [X18,X19] : lhs_atom287(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1115]) ).

fof(c_0_1880,plain,
    ! [X18,X19] : lhs_atom286(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1116]) ).

fof(c_0_1881,plain,
    ! [X18,X19] : lhs_atom285(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1117]) ).

fof(c_0_1882,plain,
    ! [X18,X19] : lhs_atom283(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1118]) ).

fof(c_0_1883,plain,
    ! [X18,X19] : lhs_atom282(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1119]) ).

fof(c_0_1884,plain,
    ! [X10,X11] : lhs_atom277(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1120]) ).

fof(c_0_1885,plain,
    ! [X18,X19] : lhs_atom274(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1121]) ).

fof(c_0_1886,plain,
    ! [X30,X31] : lhs_atom272(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_1122]) ).

fof(c_0_1887,plain,
    ! [X29,X30] : lhs_atom269(X29,X30),
    inference(variable_rename,[status(thm)],[c_0_1123]) ).

fof(c_0_1888,plain,
    ! [X28,X29] : lhs_atom266(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_1124]) ).

fof(c_0_1889,plain,
    ! [X18,X19] : lhs_atom264(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1125]) ).

fof(c_0_1890,plain,
    ! [X18,X19] : lhs_atom263(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_1126]) ).

fof(c_0_1891,plain,
    ! [X5,X6] : lhs_atom258(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1127]) ).

fof(c_0_1892,plain,
    ! [X15,X16] : lhs_atom252(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1128]) ).

fof(c_0_1893,plain,
    ! [X27,X28] : lhs_atom243(X27,X28),
    inference(variable_rename,[status(thm)],[c_0_1129]) ).

fof(c_0_1894,plain,
    ! [X15,X16] : lhs_atom239(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1130]) ).

fof(c_0_1895,plain,
    ! [X5,X6] : lhs_atom238(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1131]) ).

fof(c_0_1896,plain,
    ! [X5,X6] : lhs_atom237(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1132]) ).

fof(c_0_1897,plain,
    ! [X5,X6] : lhs_atom236(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1133]) ).

fof(c_0_1898,plain,
    ! [X15,X16] : lhs_atom231(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1134]) ).

fof(c_0_1899,plain,
    ! [X12,X13] : lhs_atom220(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1135]) ).

fof(c_0_1900,plain,
    ! [X12,X13] : lhs_atom220(X12,X13),
    inference(variable_rename,[status(thm)],[c_0_1136]) ).

fof(c_0_1901,plain,
    ! [X5,X6] : lhs_atom219(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1137]) ).

fof(c_0_1902,plain,
    ! [X5,X6] : lhs_atom218(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1138]) ).

fof(c_0_1903,plain,
    ! [X5,X6] : lhs_atom216(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1139]) ).

fof(c_0_1904,plain,
    ! [X5,X6] : lhs_atom214(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1140]) ).

fof(c_0_1905,plain,
    ! [X5,X6] : lhs_atom212(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1141]) ).

fof(c_0_1906,plain,
    ! [X5,X6] : lhs_atom211(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1142]) ).

fof(c_0_1907,plain,
    ! [X5,X6] : lhs_atom205(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1143]) ).

fof(c_0_1908,plain,
    ! [X15,X16] : lhs_atom178(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1144]) ).

fof(c_0_1909,plain,
    ! [X15,X16] : lhs_atom177(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1145]) ).

fof(c_0_1910,plain,
    ! [X15,X16] : lhs_atom176(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_1146]) ).

fof(c_0_1911,plain,
    ! [X11,X12] : lhs_atom172(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_1147]) ).

fof(c_0_1912,plain,
    ! [X17,X18] : lhs_atom170(X17,X18),
    inference(variable_rename,[status(thm)],[c_0_1148]) ).

fof(c_0_1913,plain,
    ! [X17,X18] : lhs_atom169(X17,X18),
    inference(variable_rename,[status(thm)],[c_0_1149]) ).

fof(c_0_1914,plain,
    ! [X16,X17] : lhs_atom167(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_1150]) ).

fof(c_0_1915,plain,
    ! [X10,X11] : lhs_atom166(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1151]) ).

fof(c_0_1916,plain,
    ! [X5,X6] : lhs_atom162(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1152]) ).

fof(c_0_1917,plain,
    ! [X14,X15] : lhs_atom107(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_1153]) ).

fof(c_0_1918,plain,
    ! [X7,X8] : lhs_atom35(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1154]) ).

fof(c_0_1919,plain,
    ! [X11,X12] : lhs_atom34(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_1155]) ).

fof(c_0_1920,plain,
    ! [X7,X8] : lhs_atom33(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1156]) ).

fof(c_0_1921,plain,
    ! [X10,X11] : lhs_atom32(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_1157]) ).

fof(c_0_1922,plain,
    ! [X9,X10] : lhs_atom30(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1158]) ).

fof(c_0_1923,plain,
    ! [X9,X10] : lhs_atom29(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1159]) ).

fof(c_0_1924,plain,
    ! [X9,X10] : lhs_atom28(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1160]) ).

fof(c_0_1925,plain,
    ! [X9,X10] : lhs_atom27(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1161]) ).

fof(c_0_1926,plain,
    ! [X9,X10] : lhs_atom25(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1162]) ).

fof(c_0_1927,plain,
    ! [X9,X10] : lhs_atom24(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1163]) ).

fof(c_0_1928,plain,
    ! [X9,X10] : lhs_atom23(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1164]) ).

fof(c_0_1929,plain,
    ! [X9,X10] : lhs_atom22(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_1165]) ).

fof(c_0_1930,plain,
    ! [X7,X8] : lhs_atom17(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_1166]) ).

fof(c_0_1931,plain,
    ! [X6,X7] : lhs_atom16(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1167]) ).

fof(c_0_1932,plain,
    ! [X6,X7] : lhs_atom15(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1168]) ).

fof(c_0_1933,plain,
    ! [X6,X7] : lhs_atom14(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_1169]) ).

fof(c_0_1934,plain,
    ! [X3,X4] : lhs_atom13(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_1170]) ).

fof(c_0_1935,plain,
    ! [X3,X4] : lhs_atom12(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_1171]) ).

fof(c_0_1936,plain,
    ! [X5,X6] : lhs_atom9(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1172]) ).

fof(c_0_1937,plain,
    ! [X5,X6] : lhs_atom8(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1173]) ).

fof(c_0_1938,plain,
    ! [X5,X6] : lhs_atom7(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1174]) ).

fof(c_0_1939,plain,
    ! [X5,X6] : lhs_atom6(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_1175]) ).

fof(c_0_1940,plain,
    ! [X3,X4] : lhs_atom4(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_1176]) ).

fof(c_0_1941,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_1177]) ).

fof(c_0_1942,plain,
    ! [X7] : lhs_atom751(X7),
    inference(variable_rename,[status(thm)],[c_0_1178]) ).

fof(c_0_1943,plain,
    ! [X67] : lhs_atom750(X67),
    inference(variable_rename,[status(thm)],[c_0_1179]) ).

fof(c_0_1944,plain,
    ! [X61] : lhs_atom738(X61),
    inference(variable_rename,[status(thm)],[c_0_1180]) ).

fof(c_0_1945,plain,
    ! [X7] : lhs_atom729(X7),
    inference(variable_rename,[status(thm)],[c_0_1181]) ).

fof(c_0_1946,plain,
    ! [X20] : lhs_atom727(X20),
    inference(variable_rename,[status(thm)],[c_0_1182]) ).

fof(c_0_1947,plain,
    ! [X66] : lhs_atom724(X66),
    inference(variable_rename,[status(thm)],[c_0_1183]) ).

fof(c_0_1948,plain,
    ! [X66] : lhs_atom715(X66),
    inference(variable_rename,[status(thm)],[c_0_1184]) ).

fof(c_0_1949,plain,
    ! [X66] : lhs_atom714(X66),
    inference(variable_rename,[status(thm)],[c_0_1185]) ).

fof(c_0_1950,plain,
    ! [X66] : lhs_atom711(X66),
    inference(variable_rename,[status(thm)],[c_0_1186]) ).

fof(c_0_1951,plain,
    ! [X66] : lhs_atom710(X66),
    inference(variable_rename,[status(thm)],[c_0_1187]) ).

fof(c_0_1952,plain,
    ! [X66] : lhs_atom703(X66),
    inference(variable_rename,[status(thm)],[c_0_1188]) ).

fof(c_0_1953,plain,
    ! [X7] : lhs_atom679(X7),
    inference(variable_rename,[status(thm)],[c_0_1189]) ).

fof(c_0_1954,plain,
    ! [X67] : lhs_atom665(X67),
    inference(variable_rename,[status(thm)],[c_0_1190]) ).

fof(c_0_1955,plain,
    ! [X71] : lhs_atom661(X71),
    inference(variable_rename,[status(thm)],[c_0_1191]) ).

fof(c_0_1956,plain,
    ! [X64] : lhs_atom660(X64),
    inference(variable_rename,[status(thm)],[c_0_1192]) ).

fof(c_0_1957,plain,
    ! [X64] : lhs_atom659(X64),
    inference(variable_rename,[status(thm)],[c_0_1193]) ).

fof(c_0_1958,plain,
    ! [X64] : lhs_atom658(X64),
    inference(variable_rename,[status(thm)],[c_0_1194]) ).

fof(c_0_1959,plain,
    ! [X70] : lhs_atom657(X70),
    inference(variable_rename,[status(thm)],[c_0_1195]) ).

fof(c_0_1960,plain,
    ! [X15] : lhs_atom647(X15),
    inference(variable_rename,[status(thm)],[c_0_1196]) ).

fof(c_0_1961,plain,
    ! [X64] : lhs_atom645(X64),
    inference(variable_rename,[status(thm)],[c_0_1197]) ).

fof(c_0_1962,plain,
    ! [X64] : lhs_atom643(X64),
    inference(variable_rename,[status(thm)],[c_0_1198]) ).

fof(c_0_1963,plain,
    ! [X64] : lhs_atom642(X64),
    inference(variable_rename,[status(thm)],[c_0_1199]) ).

fof(c_0_1964,plain,
    ! [X63] : lhs_atom639(X63),
    inference(variable_rename,[status(thm)],[c_0_1200]) ).

fof(c_0_1965,plain,
    ! [X63] : lhs_atom638(X63),
    inference(variable_rename,[status(thm)],[c_0_1201]) ).

fof(c_0_1966,plain,
    ! [X4] : lhs_atom635(X4),
    inference(variable_rename,[status(thm)],[c_0_1202]) ).

fof(c_0_1967,plain,
    ! [X4] : lhs_atom630(X4),
    inference(variable_rename,[status(thm)],[c_0_1203]) ).

fof(c_0_1968,plain,
    ! [X4] : lhs_atom623(X4),
    inference(variable_rename,[status(thm)],[c_0_1204]) ).

fof(c_0_1969,plain,
    ! [X4] : lhs_atom609(X4),
    inference(variable_rename,[status(thm)],[c_0_1205]) ).

fof(c_0_1970,plain,
    ! [X4] : lhs_atom607(X4),
    inference(variable_rename,[status(thm)],[c_0_1206]) ).

fof(c_0_1971,plain,
    ! [X4] : lhs_atom601(X4),
    inference(variable_rename,[status(thm)],[c_0_1207]) ).

fof(c_0_1972,plain,
    ! [X4] : lhs_atom594(X4),
    inference(variable_rename,[status(thm)],[c_0_1208]) ).

fof(c_0_1973,plain,
    ! [X4] : lhs_atom593(X4),
    inference(variable_rename,[status(thm)],[c_0_1209]) ).

fof(c_0_1974,plain,
    ! [X4] : lhs_atom590(X4),
    inference(variable_rename,[status(thm)],[c_0_1210]) ).

fof(c_0_1975,plain,
    ! [X4] : lhs_atom589(X4),
    inference(variable_rename,[status(thm)],[c_0_1211]) ).

fof(c_0_1976,plain,
    ! [X4] : lhs_atom583(X4),
    inference(variable_rename,[status(thm)],[c_0_1212]) ).

fof(c_0_1977,plain,
    ! [X4] : lhs_atom576(X4),
    inference(variable_rename,[status(thm)],[c_0_1213]) ).

fof(c_0_1978,plain,
    ! [X4] : lhs_atom572(X4),
    inference(variable_rename,[status(thm)],[c_0_1214]) ).

fof(c_0_1979,plain,
    ! [X15] : lhs_atom568(X15),
    inference(variable_rename,[status(thm)],[c_0_1215]) ).

fof(c_0_1980,plain,
    ! [X8] : lhs_atom563(X8),
    inference(variable_rename,[status(thm)],[c_0_1216]) ).

fof(c_0_1981,plain,
    ! [X2] : lhs_atom556(X2),
    inference(variable_rename,[status(thm)],[c_0_1217]) ).

fof(c_0_1982,plain,
    ! [X4] : lhs_atom551(X4),
    inference(variable_rename,[status(thm)],[c_0_1218]) ).

fof(c_0_1983,plain,
    ! [X4] : lhs_atom548(X4),
    inference(variable_rename,[status(thm)],[c_0_1219]) ).

fof(c_0_1984,plain,
    ! [X4] : lhs_atom545(X4),
    inference(variable_rename,[status(thm)],[c_0_1220]) ).

fof(c_0_1985,plain,
    ! [X4] : lhs_atom537(X4),
    inference(variable_rename,[status(thm)],[c_0_1221]) ).

fof(c_0_1986,plain,
    ! [X29] : lhs_atom531(X29),
    inference(variable_rename,[status(thm)],[c_0_1222]) ).

fof(c_0_1987,plain,
    ! [X10] : lhs_atom530(X10),
    inference(variable_rename,[status(thm)],[c_0_1223]) ).

fof(c_0_1988,plain,
    ! [X27] : lhs_atom516(X27),
    inference(variable_rename,[status(thm)],[c_0_1224]) ).

fof(c_0_1989,plain,
    ! [X27] : lhs_atom515(X27),
    inference(variable_rename,[status(thm)],[c_0_1225]) ).

fof(c_0_1990,plain,
    ! [X27] : lhs_atom512(X27),
    inference(variable_rename,[status(thm)],[c_0_1226]) ).

fof(c_0_1991,plain,
    ! [X27] : lhs_atom511(X27),
    inference(variable_rename,[status(thm)],[c_0_1227]) ).

fof(c_0_1992,plain,
    ! [X27] : lhs_atom510(X27),
    inference(variable_rename,[status(thm)],[c_0_1228]) ).

fof(c_0_1993,plain,
    ! [X27] : lhs_atom509(X27),
    inference(variable_rename,[status(thm)],[c_0_1229]) ).

fof(c_0_1994,plain,
    ! [X27] : lhs_atom504(X27),
    inference(variable_rename,[status(thm)],[c_0_1230]) ).

fof(c_0_1995,plain,
    ! [X27] : lhs_atom503(X27),
    inference(variable_rename,[status(thm)],[c_0_1231]) ).

fof(c_0_1996,plain,
    ! [X15] : lhs_atom502(X15),
    inference(variable_rename,[status(thm)],[c_0_1232]) ).

fof(c_0_1997,plain,
    ! [X15] : lhs_atom501(X15),
    inference(variable_rename,[status(thm)],[c_0_1233]) ).

fof(c_0_1998,plain,
    ! [X27] : lhs_atom500(X27),
    inference(variable_rename,[status(thm)],[c_0_1234]) ).

fof(c_0_1999,plain,
    ! [X27] : lhs_atom499(X27),
    inference(variable_rename,[status(thm)],[c_0_1235]) ).

fof(c_0_2000,plain,
    ! [X15] : lhs_atom493(X15),
    inference(variable_rename,[status(thm)],[c_0_1236]) ).

fof(c_0_2001,plain,
    ! [X15] : lhs_atom491(X15),
    inference(variable_rename,[status(thm)],[c_0_1237]) ).

fof(c_0_2002,plain,
    ! [X5] : lhs_atom489(X5),
    inference(variable_rename,[status(thm)],[c_0_1238]) ).

fof(c_0_2003,plain,
    ! [X5] : lhs_atom487(X5),
    inference(variable_rename,[status(thm)],[c_0_1239]) ).

fof(c_0_2004,plain,
    ! [X2] : lhs_atom479(X2),
    inference(variable_rename,[status(thm)],[c_0_1240]) ).

fof(c_0_2005,plain,
    ! [X5] : lhs_atom477(X5),
    inference(variable_rename,[status(thm)],[c_0_1241]) ).

fof(c_0_2006,plain,
    ! [X5] : lhs_atom476(X5),
    inference(variable_rename,[status(thm)],[c_0_1242]) ).

fof(c_0_2007,plain,
    ! [X15] : lhs_atom474(X15),
    inference(variable_rename,[status(thm)],[c_0_1243]) ).

fof(c_0_2008,plain,
    ! [X15] : lhs_atom473(X15),
    inference(variable_rename,[status(thm)],[c_0_1244]) ).

fof(c_0_2009,plain,
    ! [X2] : lhs_atom469(X2),
    inference(variable_rename,[status(thm)],[c_0_1245]) ).

fof(c_0_2010,plain,
    ! [X5] : lhs_atom465(X5),
    inference(variable_rename,[status(thm)],[c_0_1246]) ).

fof(c_0_2011,plain,
    ! [X15] : lhs_atom462(X15),
    inference(variable_rename,[status(thm)],[c_0_1247]) ).

fof(c_0_2012,plain,
    ! [X2] : lhs_atom461(X2),
    inference(variable_rename,[status(thm)],[c_0_1248]) ).

fof(c_0_2013,plain,
    ! [X2] : lhs_atom460(X2),
    inference(variable_rename,[status(thm)],[c_0_1249]) ).

fof(c_0_2014,plain,
    ! [X2] : lhs_atom456(X2),
    inference(variable_rename,[status(thm)],[c_0_1250]) ).

fof(c_0_2015,plain,
    ! [X2] : lhs_atom454(X2),
    inference(variable_rename,[status(thm)],[c_0_1251]) ).

fof(c_0_2016,plain,
    ! [X15] : lhs_atom453(X15),
    inference(variable_rename,[status(thm)],[c_0_1252]) ).

fof(c_0_2017,plain,
    ! [X5] : lhs_atom452(X5),
    inference(variable_rename,[status(thm)],[c_0_1253]) ).

fof(c_0_2018,plain,
    ! [X5] : lhs_atom451(X5),
    inference(variable_rename,[status(thm)],[c_0_1254]) ).

fof(c_0_2019,plain,
    ! [X59] : lhs_atom448(X59),
    inference(variable_rename,[status(thm)],[c_0_1255]) ).

fof(c_0_2020,plain,
    ! [X27] : lhs_atom445(X27),
    inference(variable_rename,[status(thm)],[c_0_1256]) ).

fof(c_0_2021,plain,
    ! [X23] : lhs_atom438(X23),
    inference(variable_rename,[status(thm)],[c_0_1257]) ).

fof(c_0_2022,plain,
    ! [X16] : lhs_atom436(X16),
    inference(variable_rename,[status(thm)],[c_0_1258]) ).

fof(c_0_2023,plain,
    ! [X4] : lhs_atom421(X4),
    inference(variable_rename,[status(thm)],[c_0_1259]) ).

fof(c_0_2024,plain,
    ! [X4] : lhs_atom421(X4),
    inference(variable_rename,[status(thm)],[c_0_1260]) ).

fof(c_0_2025,plain,
    ! [X4] : lhs_atom416(X4),
    inference(variable_rename,[status(thm)],[c_0_1261]) ).

fof(c_0_2026,plain,
    ! [X4] : lhs_atom290(X4),
    inference(variable_rename,[status(thm)],[c_0_1262]) ).

fof(c_0_2027,plain,
    ! [X4] : lhs_atom405(X4),
    inference(variable_rename,[status(thm)],[c_0_1263]) ).

fof(c_0_2028,plain,
    ! [X4] : lhs_atom405(X4),
    inference(variable_rename,[status(thm)],[c_0_1264]) ).

fof(c_0_2029,plain,
    ! [X16] : lhs_atom400(X16),
    inference(variable_rename,[status(thm)],[c_0_1265]) ).

fof(c_0_2030,plain,
    ! [X16] : lhs_atom345(X16),
    inference(variable_rename,[status(thm)],[c_0_1266]) ).

fof(c_0_2031,plain,
    ! [X4] : lhs_atom344(X4),
    inference(variable_rename,[status(thm)],[c_0_1267]) ).

fof(c_0_2032,plain,
    ! [X4] : lhs_atom323(X4),
    inference(variable_rename,[status(thm)],[c_0_1268]) ).

fof(c_0_2033,plain,
    ! [X4] : lhs_atom319(X4),
    inference(variable_rename,[status(thm)],[c_0_1269]) ).

fof(c_0_2034,plain,
    ! [X16] : lhs_atom303(X16),
    inference(variable_rename,[status(thm)],[c_0_1270]) ).

fof(c_0_2035,plain,
    ! [X16] : lhs_atom300(X16),
    inference(variable_rename,[status(thm)],[c_0_1271]) ).

fof(c_0_2036,plain,
    ! [X16] : lhs_atom296(X16),
    inference(variable_rename,[status(thm)],[c_0_1272]) ).

fof(c_0_2037,plain,
    ! [X4] : lhs_atom289(X4),
    inference(variable_rename,[status(thm)],[c_0_1273]) ).

fof(c_0_2038,plain,
    ! [X4] : lhs_atom290(X4),
    inference(variable_rename,[status(thm)],[c_0_1274]) ).

fof(c_0_2039,plain,
    ! [X4] : lhs_atom289(X4),
    inference(variable_rename,[status(thm)],[c_0_1275]) ).

fof(c_0_2040,plain,
    ! [X18] : lhs_atom284(X18),
    inference(variable_rename,[status(thm)],[c_0_1276]) ).

fof(c_0_2041,plain,
    ! [X11] : lhs_atom281(X11),
    inference(variable_rename,[status(thm)],[c_0_1277]) ).

fof(c_0_2042,plain,
    ! [X11] : lhs_atom280(X11),
    inference(variable_rename,[status(thm)],[c_0_1278]) ).

fof(c_0_2043,plain,
    ! [X11] : lhs_atom279(X11),
    inference(variable_rename,[status(thm)],[c_0_1279]) ).

fof(c_0_2044,plain,
    ! [X10] : lhs_atom278(X10),
    inference(variable_rename,[status(thm)],[c_0_1280]) ).

fof(c_0_2045,plain,
    ! [X2] : lhs_atom276(X2),
    inference(variable_rename,[status(thm)],[c_0_1281]) ).

fof(c_0_2046,plain,
    ! [X18] : lhs_atom273(X18),
    inference(variable_rename,[status(thm)],[c_0_1282]) ).

fof(c_0_2047,plain,
    ! [X11] : lhs_atom271(X11),
    inference(variable_rename,[status(thm)],[c_0_1283]) ).

fof(c_0_2048,plain,
    ! [X15] : lhs_atom270(X15),
    inference(variable_rename,[status(thm)],[c_0_1284]) ).

fof(c_0_2049,plain,
    ! [X29] : lhs_atom268(X29),
    inference(variable_rename,[status(thm)],[c_0_1285]) ).

fof(c_0_2050,plain,
    ! [X18] : lhs_atom267(X18),
    inference(variable_rename,[status(thm)],[c_0_1286]) ).

fof(c_0_2051,plain,
    ! [X18] : lhs_atom265(X18),
    inference(variable_rename,[status(thm)],[c_0_1287]) ).

fof(c_0_2052,plain,
    ! [X15] : lhs_atom262(X15),
    inference(variable_rename,[status(thm)],[c_0_1288]) ).

fof(c_0_2053,plain,
    ! [X5] : lhs_atom261(X5),
    inference(variable_rename,[status(thm)],[c_0_1289]) ).

fof(c_0_2054,plain,
    ! [X5] : lhs_atom260(X5),
    inference(variable_rename,[status(thm)],[c_0_1290]) ).

fof(c_0_2055,plain,
    ! [X5] : lhs_atom259(X5),
    inference(variable_rename,[status(thm)],[c_0_1291]) ).

fof(c_0_2056,plain,
    ! [X5] : lhs_atom256(X5),
    inference(variable_rename,[status(thm)],[c_0_1292]) ).

fof(c_0_2057,plain,
    ! [X5] : lhs_atom255(X5),
    inference(variable_rename,[status(thm)],[c_0_1293]) ).

fof(c_0_2058,plain,
    ! [X15] : lhs_atom253(X15),
    inference(variable_rename,[status(thm)],[c_0_1294]) ).

fof(c_0_2059,plain,
    ! [X3] : lhs_atom251(X3),
    inference(variable_rename,[status(thm)],[c_0_1295]) ).

fof(c_0_2060,plain,
    ! [X2] : lhs_atom248(X2),
    inference(variable_rename,[status(thm)],[c_0_1296]) ).

fof(c_0_2061,plain,
    ! [X2] : lhs_atom245(X2),
    inference(variable_rename,[status(thm)],[c_0_1297]) ).

fof(c_0_2062,plain,
    ! [X15] : lhs_atom240(X15),
    inference(variable_rename,[status(thm)],[c_0_1298]) ).

fof(c_0_2063,plain,
    ! [X2] : lhs_atom235(X2),
    inference(variable_rename,[status(thm)],[c_0_1299]) ).

fof(c_0_2064,plain,
    ! [X2] : lhs_atom234(X2),
    inference(variable_rename,[status(thm)],[c_0_1300]) ).

fof(c_0_2065,plain,
    ! [X15] : lhs_atom233(X15),
    inference(variable_rename,[status(thm)],[c_0_1301]) ).

fof(c_0_2066,plain,
    ! [X15] : lhs_atom232(X15),
    inference(variable_rename,[status(thm)],[c_0_1302]) ).

fof(c_0_2067,plain,
    ! [X15] : lhs_atom230(X15),
    inference(variable_rename,[status(thm)],[c_0_1303]) ).

fof(c_0_2068,plain,
    ! [X4] : lhs_atom229(X4),
    inference(variable_rename,[status(thm)],[c_0_1304]) ).

fof(c_0_2069,plain,
    ! [X5] : lhs_atom217(X5),
    inference(variable_rename,[status(thm)],[c_0_1305]) ).

fof(c_0_2070,plain,
    ! [X2] : lhs_atom210(X2),
    inference(variable_rename,[status(thm)],[c_0_1306]) ).

fof(c_0_2071,plain,
    ! [X2] : lhs_atom209(X2),
    inference(variable_rename,[status(thm)],[c_0_1307]) ).

fof(c_0_2072,plain,
    ! [X2] : lhs_atom208(X2),
    inference(variable_rename,[status(thm)],[c_0_1308]) ).

fof(c_0_2073,plain,
    ! [X15] : lhs_atom204(X15),
    inference(variable_rename,[status(thm)],[c_0_1309]) ).

fof(c_0_2074,plain,
    ! [X2] : lhs_atom203(X2),
    inference(variable_rename,[status(thm)],[c_0_1310]) ).

fof(c_0_2075,plain,
    ! [X15] : lhs_atom202(X15),
    inference(variable_rename,[status(thm)],[c_0_1311]) ).

fof(c_0_2076,plain,
    ! [X11] : lhs_atom201(X11),
    inference(variable_rename,[status(thm)],[c_0_1312]) ).

fof(c_0_2077,plain,
    ! [X4] : lhs_atom171(X4),
    inference(variable_rename,[status(thm)],[c_0_1313]) ).

fof(c_0_2078,plain,
    ! [X4] : lhs_atom168(X4),
    inference(variable_rename,[status(thm)],[c_0_1314]) ).

fof(c_0_2079,plain,
    ! [X5] : lhs_atom165(X5),
    inference(variable_rename,[status(thm)],[c_0_1315]) ).

fof(c_0_2080,plain,
    ! [X5] : lhs_atom164(X5),
    inference(variable_rename,[status(thm)],[c_0_1316]) ).

fof(c_0_2081,plain,
    ! [X5] : lhs_atom163(X5),
    inference(variable_rename,[status(thm)],[c_0_1317]) ).

fof(c_0_2082,plain,
    ! [X15] : lhs_atom161(X15),
    inference(variable_rename,[status(thm)],[c_0_1318]) ).

fof(c_0_2083,plain,
    ! [X3] : lhs_atom160(X3),
    inference(variable_rename,[status(thm)],[c_0_1319]) ).

fof(c_0_2084,plain,
    ! [X14] : lhs_atom159(X14),
    inference(variable_rename,[status(thm)],[c_0_1320]) ).

fof(c_0_2085,plain,
    ! [X14] : lhs_atom158(X14),
    inference(variable_rename,[status(thm)],[c_0_1321]) ).

fof(c_0_2086,plain,
    ! [X14] : lhs_atom157(X14),
    inference(variable_rename,[status(thm)],[c_0_1322]) ).

fof(c_0_2087,plain,
    ! [X14] : lhs_atom156(X14),
    inference(variable_rename,[status(thm)],[c_0_1323]) ).

fof(c_0_2088,plain,
    ! [X4] : lhs_atom37(X4),
    inference(variable_rename,[status(thm)],[c_0_1324]) ).

fof(c_0_2089,plain,
    ! [X3] : lhs_atom31(X3),
    inference(variable_rename,[status(thm)],[c_0_1325]) ).

fof(c_0_2090,plain,
    ! [X3] : lhs_atom26(X3),
    inference(variable_rename,[status(thm)],[c_0_1326]) ).

fof(c_0_2091,plain,
    ! [X5] : lhs_atom21(X5),
    inference(variable_rename,[status(thm)],[c_0_1327]) ).

fof(c_0_2092,plain,
    ! [X5] : lhs_atom20(X5),
    inference(variable_rename,[status(thm)],[c_0_1328]) ).

fof(c_0_2093,plain,
    ! [X5] : lhs_atom19(X5),
    inference(variable_rename,[status(thm)],[c_0_1329]) ).

fof(c_0_2094,plain,
    ! [X5] : lhs_atom18(X5),
    inference(variable_rename,[status(thm)],[c_0_1330]) ).

fof(c_0_2095,plain,
    ! [X2] : lhs_atom11(X2),
    inference(variable_rename,[status(thm)],[c_0_1331]) ).

fof(c_0_2096,plain,
    ! [X2] : lhs_atom10(X2),
    inference(variable_rename,[status(thm)],[c_0_1332]) ).

fof(c_0_2097,plain,
    ! [X4] : lhs_atom5(X4),
    inference(variable_rename,[status(thm)],[c_0_1333]) ).

fof(c_0_2098,plain,
    ! [X3] : lhs_atom2(X3),
    inference(variable_rename,[status(thm)],[c_0_1334]) ).

fof(c_0_2099,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_1335]) ).

fof(c_0_2100,plain,
    lhs_atom737,
    c_0_1336 ).

fof(c_0_2101,plain,
    lhs_atom736,
    c_0_1337 ).

fof(c_0_2102,plain,
    lhs_atom733,
    c_0_1338 ).

fof(c_0_2103,plain,
    lhs_atom732,
    c_0_1339 ).

fof(c_0_2104,plain,
    lhs_atom702,
    c_0_1340 ).

fof(c_0_2105,plain,
    lhs_atom669,
    c_0_1341 ).

fof(c_0_2106,plain,
    lhs_atom668,
    c_0_1342 ).

fof(c_0_2107,plain,
    lhs_atom666,
    c_0_1343 ).

fof(c_0_2108,plain,
    lhs_atom649,
    c_0_1344 ).

fof(c_0_2109,plain,
    lhs_atom646,
    c_0_1345 ).

fof(c_0_2110,plain,
    lhs_atom644,
    c_0_1346 ).

fof(c_0_2111,plain,
    lhs_atom641,
    c_0_1347 ).

fof(c_0_2112,plain,
    lhs_atom640,
    c_0_1348 ).

fof(c_0_2113,plain,
    lhs_atom595,
    c_0_1349 ).

fof(c_0_2114,plain,
    lhs_atom569,
    c_0_1350 ).

fof(c_0_2115,plain,
    lhs_atom558,
    c_0_1351 ).

fof(c_0_2116,plain,
    lhs_atom557,
    c_0_1352 ).

fof(c_0_2117,plain,
    lhs_atom529,
    c_0_1353 ).

fof(c_0_2118,plain,
    lhs_atom528,
    c_0_1354 ).

fof(c_0_2119,plain,
    lhs_atom527,
    c_0_1355 ).

fof(c_0_2120,plain,
    lhs_atom526,
    c_0_1356 ).

fof(c_0_2121,plain,
    lhs_atom525,
    c_0_1357 ).

fof(c_0_2122,plain,
    lhs_atom522,
    c_0_1358 ).

fof(c_0_2123,plain,
    lhs_atom521,
    c_0_1359 ).

fof(c_0_2124,plain,
    lhs_atom518,
    c_0_1360 ).

fof(c_0_2125,plain,
    lhs_atom517,
    c_0_1361 ).

fof(c_0_2126,plain,
    lhs_atom514,
    c_0_1362 ).

fof(c_0_2127,plain,
    lhs_atom513,
    c_0_1363 ).

fof(c_0_2128,plain,
    lhs_atom506,
    c_0_1364 ).

fof(c_0_2129,plain,
    lhs_atom505,
    c_0_1365 ).

fof(c_0_2130,plain,
    lhs_atom495,
    c_0_1366 ).

fof(c_0_2131,plain,
    lhs_atom494,
    c_0_1367 ).

fof(c_0_2132,plain,
    lhs_atom488,
    c_0_1368 ).

fof(c_0_2133,plain,
    lhs_atom486,
    c_0_1369 ).

fof(c_0_2134,plain,
    lhs_atom483,
    c_0_1370 ).

fof(c_0_2135,plain,
    lhs_atom472,
    c_0_1371 ).

fof(c_0_2136,plain,
    lhs_atom471,
    c_0_1372 ).

fof(c_0_2137,plain,
    lhs_atom470,
    c_0_1373 ).

fof(c_0_2138,plain,
    lhs_atom464,
    c_0_1374 ).

fof(c_0_2139,plain,
    lhs_atom458,
    c_0_1375 ).

fof(c_0_2140,plain,
    lhs_atom447,
    c_0_1376 ).

fof(c_0_2141,plain,
    lhs_atom446,
    c_0_1377 ).

fof(c_0_2142,plain,
    lhs_atom394,
    c_0_1378 ).

fof(c_0_2143,plain,
    lhs_atom393,
    c_0_1379 ).

fof(c_0_2144,plain,
    lhs_atom392,
    c_0_1380 ).

fof(c_0_2145,plain,
    lhs_atom391,
    c_0_1381 ).

fof(c_0_2146,plain,
    lhs_atom390,
    c_0_1382 ).

fof(c_0_2147,plain,
    lhs_atom389,
    c_0_1383 ).

fof(c_0_2148,plain,
    lhs_atom388,
    c_0_1384 ).

fof(c_0_2149,plain,
    lhs_atom387,
    c_0_1385 ).

fof(c_0_2150,plain,
    lhs_atom386,
    c_0_1386 ).

fof(c_0_2151,plain,
    lhs_atom385,
    c_0_1387 ).

fof(c_0_2152,plain,
    lhs_atom384,
    c_0_1388 ).

fof(c_0_2153,plain,
    lhs_atom383,
    c_0_1389 ).

fof(c_0_2154,plain,
    lhs_atom382,
    c_0_1390 ).

fof(c_0_2155,plain,
    lhs_atom381,
    c_0_1391 ).

fof(c_0_2156,plain,
    lhs_atom380,
    c_0_1392 ).

fof(c_0_2157,plain,
    lhs_atom379,
    c_0_1393 ).

fof(c_0_2158,plain,
    lhs_atom275,
    c_0_1394 ).

fof(c_0_2159,plain,
    lhs_atom257,
    c_0_1395 ).

fof(c_0_2160,plain,
    lhs_atom254,
    c_0_1396 ).

fof(c_0_2161,plain,
    lhs_atom250,
    c_0_1397 ).

fof(c_0_2162,plain,
    lhs_atom249,
    c_0_1398 ).

fof(c_0_2163,plain,
    lhs_atom247,
    c_0_1399 ).

fof(c_0_2164,plain,
    lhs_atom246,
    c_0_1400 ).

fof(c_0_2165,plain,
    lhs_atom244,
    c_0_1401 ).

fof(c_0_2166,plain,
    lhs_atom242,
    c_0_1402 ).

fof(c_0_2167,plain,
    lhs_atom241,
    c_0_1403 ).

fof(c_0_2168,plain,
    lhs_atom228,
    c_0_1404 ).

fof(c_0_2169,plain,
    lhs_atom227,
    c_0_1405 ).

fof(c_0_2170,plain,
    lhs_atom224,
    c_0_1406 ).

fof(c_0_2171,plain,
    lhs_atom223,
    c_0_1407 ).

fof(c_0_2172,plain,
    lhs_atom207,
    c_0_1408 ).

fof(c_0_2173,plain,
    lhs_atom206,
    c_0_1409 ).

fof(c_0_2174,plain,
    lhs_atom179,
    c_0_1410 ).

fof(c_0_2175,plain,
    lhs_atom155,
    c_0_1411 ).

fof(c_0_2176,plain,
    lhs_atom154,
    c_0_1412 ).

fof(c_0_2177,plain,
    lhs_atom153,
    c_0_1413 ).

fof(c_0_2178,plain,
    lhs_atom152,
    c_0_1414 ).

fof(c_0_2179,plain,
    lhs_atom151,
    c_0_1415 ).

fof(c_0_2180,plain,
    lhs_atom150,
    c_0_1416 ).

fof(c_0_2181,plain,
    lhs_atom149,
    c_0_1417 ).

fof(c_0_2182,plain,
    lhs_atom148,
    c_0_1418 ).

fof(c_0_2183,plain,
    lhs_atom147,
    c_0_1419 ).

fof(c_0_2184,plain,
    lhs_atom146,
    c_0_1420 ).

fof(c_0_2185,plain,
    lhs_atom145,
    c_0_1421 ).

fof(c_0_2186,plain,
    lhs_atom144,
    c_0_1422 ).

fof(c_0_2187,plain,
    lhs_atom143,
    c_0_1423 ).

fof(c_0_2188,plain,
    lhs_atom142,
    c_0_1424 ).

fof(c_0_2189,plain,
    lhs_atom141,
    c_0_1425 ).

fof(c_0_2190,plain,
    lhs_atom140,
    c_0_1426 ).

fof(c_0_2191,plain,
    lhs_atom139,
    c_0_1427 ).

fof(c_0_2192,plain,
    lhs_atom138,
    c_0_1428 ).

fof(c_0_2193,plain,
    lhs_atom137,
    c_0_1429 ).

fof(c_0_2194,plain,
    lhs_atom136,
    c_0_1430 ).

fof(c_0_2195,plain,
    lhs_atom135,
    c_0_1431 ).

fof(c_0_2196,plain,
    lhs_atom134,
    c_0_1432 ).

fof(c_0_2197,plain,
    lhs_atom133,
    c_0_1433 ).

fof(c_0_2198,plain,
    lhs_atom132,
    c_0_1434 ).

fof(c_0_2199,plain,
    lhs_atom131,
    c_0_1435 ).

fof(c_0_2200,plain,
    lhs_atom130,
    c_0_1436 ).

fof(c_0_2201,plain,
    lhs_atom129,
    c_0_1437 ).

fof(c_0_2202,plain,
    lhs_atom128,
    c_0_1438 ).

fof(c_0_2203,plain,
    lhs_atom127,
    c_0_1439 ).

fof(c_0_2204,plain,
    lhs_atom126,
    c_0_1440 ).

fof(c_0_2205,plain,
    lhs_atom125,
    c_0_1441 ).

fof(c_0_2206,plain,
    lhs_atom124,
    c_0_1442 ).

fof(c_0_2207,plain,
    lhs_atom123,
    c_0_1443 ).

fof(c_0_2208,plain,
    lhs_atom122,
    c_0_1444 ).

fof(c_0_2209,plain,
    lhs_atom121,
    c_0_1445 ).

fof(c_0_2210,plain,
    lhs_atom120,
    c_0_1446 ).

fof(c_0_2211,plain,
    lhs_atom119,
    c_0_1447 ).

fof(c_0_2212,plain,
    lhs_atom118,
    c_0_1448 ).

fof(c_0_2213,plain,
    lhs_atom117,
    c_0_1449 ).

fof(c_0_2214,plain,
    lhs_atom116,
    c_0_1450 ).

fof(c_0_2215,plain,
    lhs_atom115,
    c_0_1451 ).

fof(c_0_2216,plain,
    lhs_atom114,
    c_0_1452 ).

fof(c_0_2217,plain,
    lhs_atom113,
    c_0_1453 ).

fof(c_0_2218,plain,
    lhs_atom112,
    c_0_1454 ).

fof(c_0_2219,plain,
    lhs_atom111,
    c_0_1455 ).

fof(c_0_2220,plain,
    lhs_atom110,
    c_0_1456 ).

fof(c_0_2221,plain,
    lhs_atom109,
    c_0_1457 ).

fof(c_0_2222,plain,
    lhs_atom108,
    c_0_1458 ).

fof(c_0_2223,plain,
    lhs_atom106,
    c_0_1459 ).

fof(c_0_2224,plain,
    lhs_atom105,
    c_0_1460 ).

fof(c_0_2225,plain,
    lhs_atom104,
    c_0_1461 ).

fof(c_0_2226,plain,
    lhs_atom103,
    c_0_1462 ).

fof(c_0_2227,plain,
    lhs_atom102,
    c_0_1463 ).

fof(c_0_2228,plain,
    lhs_atom101,
    c_0_1464 ).

fof(c_0_2229,plain,
    lhs_atom100,
    c_0_1465 ).

fof(c_0_2230,plain,
    lhs_atom99,
    c_0_1466 ).

fof(c_0_2231,plain,
    lhs_atom98,
    c_0_1467 ).

fof(c_0_2232,plain,
    lhs_atom97,
    c_0_1468 ).

fof(c_0_2233,plain,
    lhs_atom96,
    c_0_1469 ).

fof(c_0_2234,plain,
    lhs_atom95,
    c_0_1470 ).

fof(c_0_2235,plain,
    lhs_atom94,
    c_0_1471 ).

fof(c_0_2236,plain,
    lhs_atom93,
    c_0_1472 ).

fof(c_0_2237,plain,
    lhs_atom92,
    c_0_1473 ).

fof(c_0_2238,plain,
    lhs_atom91,
    c_0_1474 ).

fof(c_0_2239,plain,
    lhs_atom90,
    c_0_1475 ).

fof(c_0_2240,plain,
    lhs_atom89,
    c_0_1476 ).

fof(c_0_2241,plain,
    lhs_atom88,
    c_0_1477 ).

fof(c_0_2242,plain,
    lhs_atom87,
    c_0_1478 ).

fof(c_0_2243,plain,
    lhs_atom86,
    c_0_1479 ).

fof(c_0_2244,plain,
    lhs_atom85,
    c_0_1480 ).

fof(c_0_2245,plain,
    lhs_atom84,
    c_0_1481 ).

fof(c_0_2246,plain,
    lhs_atom83,
    c_0_1482 ).

fof(c_0_2247,plain,
    lhs_atom82,
    c_0_1483 ).

fof(c_0_2248,plain,
    lhs_atom81,
    c_0_1484 ).

fof(c_0_2249,plain,
    lhs_atom80,
    c_0_1485 ).

fof(c_0_2250,plain,
    lhs_atom79,
    c_0_1486 ).

fof(c_0_2251,plain,
    lhs_atom78,
    c_0_1487 ).

fof(c_0_2252,plain,
    lhs_atom77,
    c_0_1488 ).

fof(c_0_2253,plain,
    lhs_atom76,
    c_0_1489 ).

fof(c_0_2254,plain,
    lhs_atom75,
    c_0_1490 ).

fof(c_0_2255,plain,
    lhs_atom74,
    c_0_1491 ).

fof(c_0_2256,plain,
    lhs_atom73,
    c_0_1492 ).

fof(c_0_2257,plain,
    lhs_atom72,
    c_0_1493 ).

fof(c_0_2258,plain,
    lhs_atom71,
    c_0_1494 ).

fof(c_0_2259,plain,
    lhs_atom70,
    c_0_1495 ).

fof(c_0_2260,plain,
    lhs_atom69,
    c_0_1496 ).

fof(c_0_2261,plain,
    lhs_atom68,
    c_0_1497 ).

fof(c_0_2262,plain,
    lhs_atom67,
    c_0_1498 ).

fof(c_0_2263,plain,
    lhs_atom66,
    c_0_1499 ).

fof(c_0_2264,plain,
    lhs_atom65,
    c_0_1500 ).

fof(c_0_2265,plain,
    lhs_atom64,
    c_0_1501 ).

fof(c_0_2266,plain,
    lhs_atom63,
    c_0_1502 ).

fof(c_0_2267,plain,
    lhs_atom62,
    c_0_1503 ).

fof(c_0_2268,plain,
    lhs_atom61,
    c_0_1504 ).

fof(c_0_2269,plain,
    lhs_atom60,
    c_0_1505 ).

fof(c_0_2270,plain,
    lhs_atom59,
    c_0_1506 ).

fof(c_0_2271,plain,
    lhs_atom58,
    c_0_1507 ).

fof(c_0_2272,plain,
    lhs_atom57,
    c_0_1508 ).

fof(c_0_2273,plain,
    lhs_atom56,
    c_0_1509 ).

fof(c_0_2274,plain,
    lhs_atom55,
    c_0_1510 ).

fof(c_0_2275,plain,
    lhs_atom54,
    c_0_1511 ).

fof(c_0_2276,plain,
    lhs_atom53,
    c_0_1512 ).

fof(c_0_2277,plain,
    lhs_atom52,
    c_0_1513 ).

fof(c_0_2278,plain,
    lhs_atom51,
    c_0_1514 ).

fof(c_0_2279,plain,
    lhs_atom50,
    c_0_1515 ).

fof(c_0_2280,plain,
    lhs_atom49,
    c_0_1516 ).

fof(c_0_2281,plain,
    lhs_atom48,
    c_0_1517 ).

fof(c_0_2282,plain,
    lhs_atom47,
    c_0_1518 ).

fof(c_0_2283,plain,
    lhs_atom46,
    c_0_1519 ).

fof(c_0_2284,plain,
    lhs_atom45,
    c_0_1520 ).

fof(c_0_2285,plain,
    lhs_atom44,
    c_0_1521 ).

fof(c_0_2286,plain,
    lhs_atom43,
    c_0_1522 ).

fof(c_0_2287,plain,
    lhs_atom42,
    c_0_1523 ).

fof(c_0_2288,plain,
    lhs_atom41,
    c_0_1524 ).

fof(c_0_2289,plain,
    lhs_atom40,
    c_0_1525 ).

fof(c_0_2290,plain,
    lhs_atom39,
    c_0_1526 ).

fof(c_0_2291,plain,
    lhs_atom38,
    c_0_1527 ).

cnf(c_0_2292,plain,
    lhs_atom378(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1528]) ).

cnf(c_0_2293,plain,
    lhs_atom377(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1529]) ).

cnf(c_0_2294,plain,
    lhs_atom376(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1530]) ).

cnf(c_0_2295,plain,
    lhs_atom375(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1531]) ).

cnf(c_0_2296,plain,
    lhs_atom374(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1532]) ).

cnf(c_0_2297,plain,
    lhs_atom373(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1533]) ).

cnf(c_0_2298,plain,
    lhs_atom372(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1534]) ).

cnf(c_0_2299,plain,
    lhs_atom371(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1535]) ).

cnf(c_0_2300,plain,
    lhs_atom370(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1536]) ).

cnf(c_0_2301,plain,
    lhs_atom369(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1537]) ).

cnf(c_0_2302,plain,
    lhs_atom368(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1538]) ).

cnf(c_0_2303,plain,
    lhs_atom367(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1539]) ).

cnf(c_0_2304,plain,
    lhs_atom366(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1540]) ).

cnf(c_0_2305,plain,
    lhs_atom365(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1541]) ).

cnf(c_0_2306,plain,
    lhs_atom364(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1542]) ).

cnf(c_0_2307,plain,
    lhs_atom363(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1543]) ).

cnf(c_0_2308,plain,
    lhs_atom362(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1544]) ).

cnf(c_0_2309,plain,
    lhs_atom361(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1545]) ).

cnf(c_0_2310,plain,
    lhs_atom360(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1546]) ).

cnf(c_0_2311,plain,
    lhs_atom359(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1547]) ).

cnf(c_0_2312,plain,
    lhs_atom358(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1548]) ).

cnf(c_0_2313,plain,
    lhs_atom357(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1549]) ).

cnf(c_0_2314,plain,
    lhs_atom356(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1550]) ).

cnf(c_0_2315,plain,
    lhs_atom355(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1551]) ).

cnf(c_0_2316,plain,
    lhs_atom354(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1552]) ).

cnf(c_0_2317,plain,
    lhs_atom353(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1553]) ).

cnf(c_0_2318,plain,
    lhs_atom352(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1554]) ).

cnf(c_0_2319,plain,
    lhs_atom351(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1555]) ).

cnf(c_0_2320,plain,
    lhs_atom350(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1556]) ).

cnf(c_0_2321,plain,
    lhs_atom349(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1557]) ).

cnf(c_0_2322,plain,
    lhs_atom348(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1558]) ).

cnf(c_0_2323,plain,
    lhs_atom347(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    inference(split_conjunct,[status(thm)],[c_0_1559]) ).

cnf(c_0_2324,plain,
    lhs_atom757(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_1560]) ).

cnf(c_0_2325,plain,
    lhs_atom443(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_1561]) ).

cnf(c_0_2326,plain,
    lhs_atom441(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_1562]) ).

cnf(c_0_2327,plain,
    lhs_atom673(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1563]) ).

cnf(c_0_2328,plain,
    lhs_atom672(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1564]) ).

cnf(c_0_2329,plain,
    lhs_atom671(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1565]) ).

cnf(c_0_2330,plain,
    lhs_atom670(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1566]) ).

cnf(c_0_2331,plain,
    lhs_atom341(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1567]) ).

cnf(c_0_2332,plain,
    lhs_atom198(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1568]) ).

cnf(c_0_2333,plain,
    lhs_atom191(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1569]) ).

cnf(c_0_2334,plain,
    lhs_atom190(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1570]) ).

cnf(c_0_2335,plain,
    lhs_atom189(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1571]) ).

cnf(c_0_2336,plain,
    lhs_atom188(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1572]) ).

cnf(c_0_2337,plain,
    lhs_atom186(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1573]) ).

cnf(c_0_2338,plain,
    lhs_atom180(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_1574]) ).

cnf(c_0_2339,plain,
    lhs_atom749(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1575]) ).

cnf(c_0_2340,plain,
    lhs_atom744(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1576]) ).

cnf(c_0_2341,plain,
    lhs_atom694(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1577]) ).

cnf(c_0_2342,plain,
    lhs_atom692(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1578]) ).

cnf(c_0_2343,plain,
    lhs_atom684(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1579]) ).

cnf(c_0_2344,plain,
    lhs_atom681(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1580]) ).

cnf(c_0_2345,plain,
    lhs_atom675(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1581]) ).

cnf(c_0_2346,plain,
    lhs_atom674(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1582]) ).

cnf(c_0_2347,plain,
    lhs_atom625(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1583]) ).

cnf(c_0_2348,plain,
    lhs_atom624(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1584]) ).

cnf(c_0_2349,plain,
    lhs_atom619(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1585]) ).

cnf(c_0_2350,plain,
    lhs_atom605(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1586]) ).

cnf(c_0_2351,plain,
    lhs_atom604(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1587]) ).

cnf(c_0_2352,plain,
    lhs_atom535(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1588]) ).

cnf(c_0_2353,plain,
    lhs_atom533(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1589]) ).

cnf(c_0_2354,plain,
    lhs_atom435(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1590]) ).

cnf(c_0_2355,plain,
    lhs_atom434(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1591]) ).

cnf(c_0_2356,plain,
    lhs_atom431(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1592]) ).

cnf(c_0_2357,plain,
    lhs_atom430(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1593]) ).

cnf(c_0_2358,plain,
    lhs_atom402(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1594]) ).

cnf(c_0_2359,plain,
    lhs_atom399(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1595]) ).

cnf(c_0_2360,plain,
    lhs_atom398(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1596]) ).

cnf(c_0_2361,plain,
    lhs_atom397(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1597]) ).

cnf(c_0_2362,plain,
    lhs_atom334(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1598]) ).

cnf(c_0_2363,plain,
    lhs_atom332(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1599]) ).

cnf(c_0_2364,plain,
    lhs_atom324(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1600]) ).

cnf(c_0_2365,plain,
    lhs_atom315(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1601]) ).

cnf(c_0_2366,plain,
    lhs_atom310(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1602]) ).

cnf(c_0_2367,plain,
    lhs_atom309(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1603]) ).

cnf(c_0_2368,plain,
    lhs_atom308(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1604]) ).

cnf(c_0_2369,plain,
    lhs_atom307(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1605]) ).

cnf(c_0_2370,plain,
    lhs_atom292(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1606]) ).

cnf(c_0_2371,plain,
    lhs_atom197(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1607]) ).

cnf(c_0_2372,plain,
    lhs_atom196(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1608]) ).

cnf(c_0_2373,plain,
    lhs_atom195(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1609]) ).

cnf(c_0_2374,plain,
    lhs_atom194(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1610]) ).

cnf(c_0_2375,plain,
    lhs_atom193(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1611]) ).

cnf(c_0_2376,plain,
    lhs_atom187(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1612]) ).

cnf(c_0_2377,plain,
    lhs_atom185(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1613]) ).

cnf(c_0_2378,plain,
    lhs_atom184(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1614]) ).

cnf(c_0_2379,plain,
    lhs_atom183(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1615]) ).

cnf(c_0_2380,plain,
    lhs_atom182(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1616]) ).

cnf(c_0_2381,plain,
    lhs_atom181(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1617]) ).

cnf(c_0_2382,plain,
    lhs_atom173(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_1618]) ).

cnf(c_0_2383,plain,
    ( c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat)
    | lhs_atom482(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1619]) ).

cnf(c_0_2384,plain,
    ( c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat)
    | lhs_atom481(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1620]) ).

cnf(c_0_2385,plain,
    lhs_atom756(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1621]) ).

cnf(c_0_2386,plain,
    lhs_atom755(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1622]) ).

cnf(c_0_2387,plain,
    lhs_atom754(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1623]) ).

cnf(c_0_2388,plain,
    lhs_atom748(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1624]) ).

cnf(c_0_2389,plain,
    lhs_atom747(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1625]) ).

cnf(c_0_2390,plain,
    lhs_atom746(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1626]) ).

cnf(c_0_2391,plain,
    lhs_atom745(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1627]) ).

cnf(c_0_2392,plain,
    lhs_atom743(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1628]) ).

cnf(c_0_2393,plain,
    lhs_atom735(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1629]) ).

cnf(c_0_2394,plain,
    lhs_atom734(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1630]) ).

cnf(c_0_2395,plain,
    lhs_atom731(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1631]) ).

cnf(c_0_2396,plain,
    lhs_atom730(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1632]) ).

cnf(c_0_2397,plain,
    lhs_atom728(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1633]) ).

cnf(c_0_2398,plain,
    lhs_atom721(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1634]) ).

cnf(c_0_2399,plain,
    lhs_atom718(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1635]) ).

cnf(c_0_2400,plain,
    lhs_atom717(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1636]) ).

cnf(c_0_2401,plain,
    lhs_atom713(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1637]) ).

cnf(c_0_2402,plain,
    lhs_atom707(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1638]) ).

cnf(c_0_2403,plain,
    lhs_atom705(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1639]) ).

cnf(c_0_2404,plain,
    lhs_atom698(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1640]) ).

cnf(c_0_2405,plain,
    lhs_atom697(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1641]) ).

cnf(c_0_2406,plain,
    lhs_atom696(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1642]) ).

cnf(c_0_2407,plain,
    lhs_atom695(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1643]) ).

cnf(c_0_2408,plain,
    lhs_atom693(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1644]) ).

cnf(c_0_2409,plain,
    lhs_atom691(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1645]) ).

cnf(c_0_2410,plain,
    lhs_atom690(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1646]) ).

cnf(c_0_2411,plain,
    lhs_atom689(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1647]) ).

cnf(c_0_2412,plain,
    lhs_atom688(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1648]) ).

cnf(c_0_2413,plain,
    lhs_atom687(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1649]) ).

cnf(c_0_2414,plain,
    lhs_atom683(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1650]) ).

cnf(c_0_2415,plain,
    lhs_atom682(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1651]) ).

cnf(c_0_2416,plain,
    lhs_atom680(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1652]) ).

cnf(c_0_2417,plain,
    lhs_atom676(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1653]) ).

cnf(c_0_2418,plain,
    lhs_atom667(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1654]) ).

cnf(c_0_2419,plain,
    lhs_atom654(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1655]) ).

cnf(c_0_2420,plain,
    lhs_atom651(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1656]) ).

cnf(c_0_2421,plain,
    lhs_atom620(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1657]) ).

cnf(c_0_2422,plain,
    lhs_atom618(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1658]) ).

cnf(c_0_2423,plain,
    lhs_atom617(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1659]) ).

cnf(c_0_2424,plain,
    lhs_atom616(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1660]) ).

cnf(c_0_2425,plain,
    lhs_atom615(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1661]) ).

cnf(c_0_2426,plain,
    lhs_atom610(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1662]) ).

cnf(c_0_2427,plain,
    lhs_atom608(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1663]) ).

cnf(c_0_2428,plain,
    lhs_atom597(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1664]) ).

cnf(c_0_2429,plain,
    lhs_atom596(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1665]) ).

cnf(c_0_2430,plain,
    lhs_atom592(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1666]) ).

cnf(c_0_2431,plain,
    lhs_atom591(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1667]) ).

cnf(c_0_2432,plain,
    lhs_atom582(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1668]) ).

cnf(c_0_2433,plain,
    lhs_atom580(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1669]) ).

cnf(c_0_2434,plain,
    lhs_atom577(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1670]) ).

cnf(c_0_2435,plain,
    lhs_atom573(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1671]) ).

cnf(c_0_2436,plain,
    lhs_atom571(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1672]) ).

cnf(c_0_2437,plain,
    lhs_atom570(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1673]) ).

cnf(c_0_2438,plain,
    lhs_atom555(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1674]) ).

cnf(c_0_2439,plain,
    lhs_atom549(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1675]) ).

cnf(c_0_2440,plain,
    lhs_atom544(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1676]) ).

cnf(c_0_2441,plain,
    lhs_atom543(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1677]) ).

cnf(c_0_2442,plain,
    lhs_atom542(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1678]) ).

cnf(c_0_2443,plain,
    lhs_atom540(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1679]) ).

cnf(c_0_2444,plain,
    lhs_atom536(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1680]) ).

cnf(c_0_2445,plain,
    lhs_atom534(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1681]) ).

cnf(c_0_2446,plain,
    lhs_atom524(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1682]) ).

cnf(c_0_2447,plain,
    lhs_atom523(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1683]) ).

cnf(c_0_2448,plain,
    lhs_atom520(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1684]) ).

cnf(c_0_2449,plain,
    lhs_atom519(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1685]) ).

cnf(c_0_2450,plain,
    lhs_atom496(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1686]) ).

cnf(c_0_2451,plain,
    lhs_atom467(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1687]) ).

cnf(c_0_2452,plain,
    lhs_atom459(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1688]) ).

cnf(c_0_2453,plain,
    lhs_atom442(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1689]) ).

cnf(c_0_2454,plain,
    lhs_atom440(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1690]) ).

cnf(c_0_2455,plain,
    lhs_atom439(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1691]) ).

cnf(c_0_2456,plain,
    lhs_atom437(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1692]) ).

cnf(c_0_2457,plain,
    lhs_atom429(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1693]) ).

cnf(c_0_2458,plain,
    lhs_atom425(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1694]) ).

cnf(c_0_2459,plain,
    lhs_atom420(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1695]) ).

cnf(c_0_2460,plain,
    lhs_atom419(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1696]) ).

cnf(c_0_2461,plain,
    lhs_atom417(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1697]) ).

cnf(c_0_2462,plain,
    lhs_atom413(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1698]) ).

cnf(c_0_2463,plain,
    lhs_atom412(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1699]) ).

cnf(c_0_2464,plain,
    lhs_atom411(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1700]) ).

cnf(c_0_2465,plain,
    lhs_atom410(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1701]) ).

cnf(c_0_2466,plain,
    lhs_atom409(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1702]) ).

cnf(c_0_2467,plain,
    lhs_atom407(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1703]) ).

cnf(c_0_2468,plain,
    lhs_atom404(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1704]) ).

cnf(c_0_2469,plain,
    lhs_atom401(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1705]) ).

cnf(c_0_2470,plain,
    lhs_atom396(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1706]) ).

cnf(c_0_2471,plain,
    lhs_atom395(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1707]) ).

cnf(c_0_2472,plain,
    lhs_atom346(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1708]) ).

cnf(c_0_2473,plain,
    lhs_atom343(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1709]) ).

cnf(c_0_2474,plain,
    lhs_atom340(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1710]) ).

cnf(c_0_2475,plain,
    lhs_atom338(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1711]) ).

cnf(c_0_2476,plain,
    lhs_atom337(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1712]) ).

cnf(c_0_2477,plain,
    lhs_atom336(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1713]) ).

cnf(c_0_2478,plain,
    lhs_atom335(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1714]) ).

cnf(c_0_2479,plain,
    lhs_atom329(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1715]) ).

cnf(c_0_2480,plain,
    lhs_atom328(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1716]) ).

cnf(c_0_2481,plain,
    lhs_atom325(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1717]) ).

cnf(c_0_2482,plain,
    lhs_atom322(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1718]) ).

cnf(c_0_2483,plain,
    lhs_atom320(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1719]) ).

cnf(c_0_2484,plain,
    lhs_atom318(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1720]) ).

cnf(c_0_2485,plain,
    lhs_atom313(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1721]) ).

cnf(c_0_2486,plain,
    lhs_atom312(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1722]) ).

cnf(c_0_2487,plain,
    lhs_atom311(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1723]) ).

cnf(c_0_2488,plain,
    lhs_atom302(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1724]) ).

cnf(c_0_2489,plain,
    lhs_atom301(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1725]) ).

cnf(c_0_2490,plain,
    lhs_atom298(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1726]) ).

cnf(c_0_2491,plain,
    lhs_atom295(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1727]) ).

cnf(c_0_2492,plain,
    lhs_atom291(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1728]) ).

cnf(c_0_2493,plain,
    lhs_atom288(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1729]) ).

cnf(c_0_2494,plain,
    lhs_atom226(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1730]) ).

cnf(c_0_2495,plain,
    lhs_atom225(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1731]) ).

cnf(c_0_2496,plain,
    lhs_atom222(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1732]) ).

cnf(c_0_2497,plain,
    lhs_atom221(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1733]) ).

cnf(c_0_2498,plain,
    lhs_atom215(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1734]) ).

cnf(c_0_2499,plain,
    lhs_atom213(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1735]) ).

cnf(c_0_2500,plain,
    lhs_atom200(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1736]) ).

cnf(c_0_2501,plain,
    lhs_atom199(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1737]) ).

cnf(c_0_2502,plain,
    lhs_atom192(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1738]) ).

cnf(c_0_2503,plain,
    lhs_atom175(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1739]) ).

cnf(c_0_2504,plain,
    lhs_atom174(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1740]) ).

cnf(c_0_2505,plain,
    lhs_atom36(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1741]) ).

cnf(c_0_2506,plain,
    lhs_atom753(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1742]) ).

cnf(c_0_2507,plain,
    lhs_atom752(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1743]) ).

cnf(c_0_2508,plain,
    lhs_atom742(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1744]) ).

cnf(c_0_2509,plain,
    lhs_atom741(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1745]) ).

cnf(c_0_2510,plain,
    lhs_atom740(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1746]) ).

cnf(c_0_2511,plain,
    lhs_atom739(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1747]) ).

cnf(c_0_2512,plain,
    lhs_atom726(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1748]) ).

cnf(c_0_2513,plain,
    lhs_atom725(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1749]) ).

cnf(c_0_2514,plain,
    lhs_atom723(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1750]) ).

cnf(c_0_2515,plain,
    lhs_atom722(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1751]) ).

cnf(c_0_2516,plain,
    lhs_atom720(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1752]) ).

cnf(c_0_2517,plain,
    lhs_atom719(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1753]) ).

cnf(c_0_2518,plain,
    lhs_atom716(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1754]) ).

cnf(c_0_2519,plain,
    lhs_atom712(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1755]) ).

cnf(c_0_2520,plain,
    lhs_atom709(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1756]) ).

cnf(c_0_2521,plain,
    lhs_atom708(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1757]) ).

cnf(c_0_2522,plain,
    lhs_atom706(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1758]) ).

cnf(c_0_2523,plain,
    lhs_atom704(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2524,plain,
    lhs_atom701(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2525,plain,
    lhs_atom700(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1761]) ).

cnf(c_0_2526,plain,
    lhs_atom699(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1762]) ).

cnf(c_0_2527,plain,
    lhs_atom686(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1763]) ).

cnf(c_0_2528,plain,
    lhs_atom685(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1764]) ).

cnf(c_0_2529,plain,
    lhs_atom678(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1765]) ).

cnf(c_0_2530,plain,
    lhs_atom677(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1766]) ).

cnf(c_0_2531,plain,
    lhs_atom664(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1767]) ).

cnf(c_0_2532,plain,
    lhs_atom663(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1768]) ).

cnf(c_0_2533,plain,
    lhs_atom662(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1769]) ).

cnf(c_0_2534,plain,
    lhs_atom656(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1770]) ).

cnf(c_0_2535,plain,
    lhs_atom655(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2536,plain,
    lhs_atom653(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2537,plain,
    lhs_atom652(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1773]) ).

cnf(c_0_2538,plain,
    lhs_atom650(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1774]) ).

cnf(c_0_2539,plain,
    lhs_atom648(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2540,plain,
    lhs_atom637(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1776]) ).

cnf(c_0_2541,plain,
    lhs_atom636(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1777]) ).

cnf(c_0_2542,plain,
    lhs_atom634(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2543,plain,
    lhs_atom633(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2544,plain,
    lhs_atom632(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2545,plain,
    lhs_atom631(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2546,plain,
    lhs_atom629(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2547,plain,
    lhs_atom628(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1783]) ).

cnf(c_0_2548,plain,
    lhs_atom627(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1784]) ).

cnf(c_0_2549,plain,
    lhs_atom626(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2550,plain,
    lhs_atom622(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1786]) ).

cnf(c_0_2551,plain,
    lhs_atom621(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1787]) ).

cnf(c_0_2552,plain,
    lhs_atom614(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1788]) ).

cnf(c_0_2553,plain,
    lhs_atom613(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1789]) ).

cnf(c_0_2554,plain,
    lhs_atom612(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2555,plain,
    lhs_atom611(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1791]) ).

cnf(c_0_2556,plain,
    lhs_atom606(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1792]) ).

cnf(c_0_2557,plain,
    lhs_atom603(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1793]) ).

cnf(c_0_2558,plain,
    lhs_atom602(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1794]) ).

cnf(c_0_2559,plain,
    lhs_atom600(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1795]) ).

cnf(c_0_2560,plain,
    lhs_atom599(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1796]) ).

cnf(c_0_2561,plain,
    lhs_atom598(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2562,plain,
    lhs_atom588(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2563,plain,
    lhs_atom587(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2564,plain,
    lhs_atom586(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_2565,plain,
    lhs_atom585(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1801]) ).

cnf(c_0_2566,plain,
    lhs_atom584(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1802]) ).

cnf(c_0_2567,plain,
    lhs_atom581(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1803]) ).

cnf(c_0_2568,plain,
    lhs_atom579(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1804]) ).

cnf(c_0_2569,plain,
    lhs_atom578(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1805]) ).

cnf(c_0_2570,plain,
    lhs_atom575(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1806]) ).

cnf(c_0_2571,plain,
    lhs_atom574(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1807]) ).

cnf(c_0_2572,plain,
    lhs_atom567(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2573,plain,
    lhs_atom566(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2574,plain,
    lhs_atom565(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1810]) ).

cnf(c_0_2575,plain,
    lhs_atom564(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1811]) ).

cnf(c_0_2576,plain,
    lhs_atom562(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1812]) ).

cnf(c_0_2577,plain,
    lhs_atom561(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1813]) ).

cnf(c_0_2578,plain,
    lhs_atom560(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1814]) ).

cnf(c_0_2579,plain,
    lhs_atom559(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1815]) ).

cnf(c_0_2580,plain,
    lhs_atom554(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1816]) ).

cnf(c_0_2581,plain,
    lhs_atom553(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1817]) ).

cnf(c_0_2582,plain,
    lhs_atom552(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1818]) ).

cnf(c_0_2583,plain,
    lhs_atom550(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1819]) ).

cnf(c_0_2584,plain,
    lhs_atom547(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1820]) ).

cnf(c_0_2585,plain,
    lhs_atom546(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1821]) ).

cnf(c_0_2586,plain,
    lhs_atom541(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1822]) ).

cnf(c_0_2587,plain,
    lhs_atom539(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1823]) ).

cnf(c_0_2588,plain,
    lhs_atom538(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1824]) ).

cnf(c_0_2589,plain,
    lhs_atom532(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1825]) ).

cnf(c_0_2590,plain,
    lhs_atom508(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1826]) ).

cnf(c_0_2591,plain,
    lhs_atom507(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1827]) ).

cnf(c_0_2592,plain,
    lhs_atom498(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1828]) ).

cnf(c_0_2593,plain,
    lhs_atom497(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1829]) ).

cnf(c_0_2594,plain,
    lhs_atom492(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1830]) ).

cnf(c_0_2595,plain,
    lhs_atom490(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1831]) ).

cnf(c_0_2596,plain,
    lhs_atom485(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1832]) ).

cnf(c_0_2597,plain,
    lhs_atom484(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1833]) ).

cnf(c_0_2598,plain,
    lhs_atom480(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1834]) ).

cnf(c_0_2599,plain,
    lhs_atom478(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1835]) ).

cnf(c_0_2600,plain,
    lhs_atom475(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1836]) ).

cnf(c_0_2601,plain,
    lhs_atom468(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1837]) ).

cnf(c_0_2602,plain,
    lhs_atom466(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1838]) ).

cnf(c_0_2603,plain,
    lhs_atom463(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1839]) ).

cnf(c_0_2604,plain,
    lhs_atom457(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1840]) ).

cnf(c_0_2605,plain,
    lhs_atom455(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1841]) ).

cnf(c_0_2606,plain,
    lhs_atom450(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1842]) ).

cnf(c_0_2607,plain,
    lhs_atom449(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1843]) ).

cnf(c_0_2608,plain,
    lhs_atom444(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2609,plain,
    lhs_atom433(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1845]) ).

cnf(c_0_2610,plain,
    lhs_atom432(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1846]) ).

cnf(c_0_2611,plain,
    lhs_atom428(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1847]) ).

cnf(c_0_2612,plain,
    lhs_atom427(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1848]) ).

cnf(c_0_2613,plain,
    lhs_atom426(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1849]) ).

cnf(c_0_2614,plain,
    lhs_atom424(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1850]) ).

cnf(c_0_2615,plain,
    lhs_atom423(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1851]) ).

cnf(c_0_2616,plain,
    lhs_atom422(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1852]) ).

cnf(c_0_2617,plain,
    lhs_atom294(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1853]) ).

cnf(c_0_2618,plain,
    lhs_atom293(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1854]) ).

cnf(c_0_2619,plain,
    lhs_atom418(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1855]) ).

cnf(c_0_2620,plain,
    lhs_atom415(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1856]) ).

cnf(c_0_2621,plain,
    lhs_atom414(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1857]) ).

cnf(c_0_2622,plain,
    lhs_atom408(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1858]) ).

cnf(c_0_2623,plain,
    lhs_atom406(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1859]) ).

cnf(c_0_2624,plain,
    lhs_atom403(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1860]) ).

cnf(c_0_2625,plain,
    lhs_atom342(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2626,plain,
    lhs_atom339(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_2627,plain,
    lhs_atom333(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1863]) ).

cnf(c_0_2628,plain,
    lhs_atom331(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1864]) ).

cnf(c_0_2629,plain,
    lhs_atom330(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1865]) ).

cnf(c_0_2630,plain,
    lhs_atom327(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1866]) ).

cnf(c_0_2631,plain,
    lhs_atom326(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1867]) ).

cnf(c_0_2632,plain,
    lhs_atom321(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1868]) ).

cnf(c_0_2633,plain,
    lhs_atom317(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1869]) ).

cnf(c_0_2634,plain,
    lhs_atom316(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1870]) ).

cnf(c_0_2635,plain,
    lhs_atom314(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1871]) ).

cnf(c_0_2636,plain,
    lhs_atom306(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1872]) ).

cnf(c_0_2637,plain,
    lhs_atom305(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1873]) ).

cnf(c_0_2638,plain,
    lhs_atom304(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1874]) ).

cnf(c_0_2639,plain,
    lhs_atom299(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1875]) ).

cnf(c_0_2640,plain,
    lhs_atom297(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1876]) ).

cnf(c_0_2641,plain,
    lhs_atom294(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1877]) ).

cnf(c_0_2642,plain,
    lhs_atom293(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1878]) ).

cnf(c_0_2643,plain,
    lhs_atom287(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1879]) ).

cnf(c_0_2644,plain,
    lhs_atom286(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1880]) ).

cnf(c_0_2645,plain,
    lhs_atom285(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1881]) ).

cnf(c_0_2646,plain,
    lhs_atom283(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1882]) ).

cnf(c_0_2647,plain,
    lhs_atom282(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1883]) ).

cnf(c_0_2648,plain,
    lhs_atom277(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1884]) ).

cnf(c_0_2649,plain,
    lhs_atom274(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1885]) ).

cnf(c_0_2650,plain,
    lhs_atom272(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1886]) ).

cnf(c_0_2651,plain,
    lhs_atom269(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1887]) ).

cnf(c_0_2652,plain,
    lhs_atom266(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1888]) ).

cnf(c_0_2653,plain,
    lhs_atom264(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1889]) ).

cnf(c_0_2654,plain,
    lhs_atom263(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1890]) ).

cnf(c_0_2655,plain,
    lhs_atom258(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1891]) ).

cnf(c_0_2656,plain,
    lhs_atom252(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1892]) ).

cnf(c_0_2657,plain,
    lhs_atom243(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1893]) ).

cnf(c_0_2658,plain,
    lhs_atom239(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1894]) ).

cnf(c_0_2659,plain,
    lhs_atom238(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1895]) ).

cnf(c_0_2660,plain,
    lhs_atom237(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1896]) ).

cnf(c_0_2661,plain,
    lhs_atom236(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1897]) ).

cnf(c_0_2662,plain,
    lhs_atom231(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1898]) ).

cnf(c_0_2663,plain,
    lhs_atom220(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1899]) ).

cnf(c_0_2664,plain,
    lhs_atom220(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1900]) ).

cnf(c_0_2665,plain,
    lhs_atom219(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1901]) ).

cnf(c_0_2666,plain,
    lhs_atom218(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1902]) ).

cnf(c_0_2667,plain,
    lhs_atom216(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1903]) ).

cnf(c_0_2668,plain,
    lhs_atom214(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1904]) ).

cnf(c_0_2669,plain,
    lhs_atom212(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1905]) ).

cnf(c_0_2670,plain,
    lhs_atom211(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_2671,plain,
    lhs_atom205(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1907]) ).

cnf(c_0_2672,plain,
    lhs_atom178(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1908]) ).

cnf(c_0_2673,plain,
    lhs_atom177(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_2674,plain,
    lhs_atom176(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_2675,plain,
    lhs_atom172(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1911]) ).

cnf(c_0_2676,plain,
    lhs_atom170(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_2677,plain,
    lhs_atom169(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1913]) ).

cnf(c_0_2678,plain,
    lhs_atom167(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1914]) ).

cnf(c_0_2679,plain,
    lhs_atom166(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1915]) ).

cnf(c_0_2680,plain,
    lhs_atom162(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1916]) ).

cnf(c_0_2681,plain,
    lhs_atom107(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1917]) ).

cnf(c_0_2682,plain,
    lhs_atom35(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1918]) ).

cnf(c_0_2683,plain,
    lhs_atom34(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1919]) ).

cnf(c_0_2684,plain,
    lhs_atom33(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1920]) ).

cnf(c_0_2685,plain,
    lhs_atom32(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_2686,plain,
    lhs_atom30(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1922]) ).

cnf(c_0_2687,plain,
    lhs_atom29(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1923]) ).

cnf(c_0_2688,plain,
    lhs_atom28(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1924]) ).

cnf(c_0_2689,plain,
    lhs_atom27(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_2690,plain,
    lhs_atom25(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1926]) ).

cnf(c_0_2691,plain,
    lhs_atom24(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1927]) ).

cnf(c_0_2692,plain,
    lhs_atom23(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1928]) ).

cnf(c_0_2693,plain,
    lhs_atom22(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1929]) ).

cnf(c_0_2694,plain,
    lhs_atom17(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1930]) ).

cnf(c_0_2695,plain,
    lhs_atom16(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1931]) ).

cnf(c_0_2696,plain,
    lhs_atom15(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1932]) ).

cnf(c_0_2697,plain,
    lhs_atom14(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1933]) ).

cnf(c_0_2698,plain,
    lhs_atom13(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1934]) ).

cnf(c_0_2699,plain,
    lhs_atom12(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1935]) ).

cnf(c_0_2700,plain,
    lhs_atom9(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1936]) ).

cnf(c_0_2701,plain,
    lhs_atom8(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1937]) ).

cnf(c_0_2702,plain,
    lhs_atom7(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_2703,plain,
    lhs_atom6(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1939]) ).

cnf(c_0_2704,plain,
    lhs_atom4(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1940]) ).

cnf(c_0_2705,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1941]) ).

cnf(c_0_2706,plain,
    lhs_atom751(X1),
    inference(split_conjunct,[status(thm)],[c_0_1942]) ).

cnf(c_0_2707,plain,
    lhs_atom750(X1),
    inference(split_conjunct,[status(thm)],[c_0_1943]) ).

cnf(c_0_2708,plain,
    lhs_atom738(X1),
    inference(split_conjunct,[status(thm)],[c_0_1944]) ).

cnf(c_0_2709,plain,
    lhs_atom729(X1),
    inference(split_conjunct,[status(thm)],[c_0_1945]) ).

cnf(c_0_2710,plain,
    lhs_atom727(X1),
    inference(split_conjunct,[status(thm)],[c_0_1946]) ).

cnf(c_0_2711,plain,
    lhs_atom724(X1),
    inference(split_conjunct,[status(thm)],[c_0_1947]) ).

cnf(c_0_2712,plain,
    lhs_atom715(X1),
    inference(split_conjunct,[status(thm)],[c_0_1948]) ).

cnf(c_0_2713,plain,
    lhs_atom714(X1),
    inference(split_conjunct,[status(thm)],[c_0_1949]) ).

cnf(c_0_2714,plain,
    lhs_atom711(X1),
    inference(split_conjunct,[status(thm)],[c_0_1950]) ).

cnf(c_0_2715,plain,
    lhs_atom710(X1),
    inference(split_conjunct,[status(thm)],[c_0_1951]) ).

cnf(c_0_2716,plain,
    lhs_atom703(X1),
    inference(split_conjunct,[status(thm)],[c_0_1952]) ).

cnf(c_0_2717,plain,
    lhs_atom679(X1),
    inference(split_conjunct,[status(thm)],[c_0_1953]) ).

cnf(c_0_2718,plain,
    lhs_atom665(X1),
    inference(split_conjunct,[status(thm)],[c_0_1954]) ).

cnf(c_0_2719,plain,
    lhs_atom661(X1),
    inference(split_conjunct,[status(thm)],[c_0_1955]) ).

cnf(c_0_2720,plain,
    lhs_atom660(X1),
    inference(split_conjunct,[status(thm)],[c_0_1956]) ).

cnf(c_0_2721,plain,
    lhs_atom659(X1),
    inference(split_conjunct,[status(thm)],[c_0_1957]) ).

cnf(c_0_2722,plain,
    lhs_atom658(X1),
    inference(split_conjunct,[status(thm)],[c_0_1958]) ).

cnf(c_0_2723,plain,
    lhs_atom657(X1),
    inference(split_conjunct,[status(thm)],[c_0_1959]) ).

cnf(c_0_2724,plain,
    lhs_atom647(X1),
    inference(split_conjunct,[status(thm)],[c_0_1960]) ).

cnf(c_0_2725,plain,
    lhs_atom645(X1),
    inference(split_conjunct,[status(thm)],[c_0_1961]) ).

cnf(c_0_2726,plain,
    lhs_atom643(X1),
    inference(split_conjunct,[status(thm)],[c_0_1962]) ).

cnf(c_0_2727,plain,
    lhs_atom642(X1),
    inference(split_conjunct,[status(thm)],[c_0_1963]) ).

cnf(c_0_2728,plain,
    lhs_atom639(X1),
    inference(split_conjunct,[status(thm)],[c_0_1964]) ).

cnf(c_0_2729,plain,
    lhs_atom638(X1),
    inference(split_conjunct,[status(thm)],[c_0_1965]) ).

cnf(c_0_2730,plain,
    lhs_atom635(X1),
    inference(split_conjunct,[status(thm)],[c_0_1966]) ).

cnf(c_0_2731,plain,
    lhs_atom630(X1),
    inference(split_conjunct,[status(thm)],[c_0_1967]) ).

cnf(c_0_2732,plain,
    lhs_atom623(X1),
    inference(split_conjunct,[status(thm)],[c_0_1968]) ).

cnf(c_0_2733,plain,
    lhs_atom609(X1),
    inference(split_conjunct,[status(thm)],[c_0_1969]) ).

cnf(c_0_2734,plain,
    lhs_atom607(X1),
    inference(split_conjunct,[status(thm)],[c_0_1970]) ).

cnf(c_0_2735,plain,
    lhs_atom601(X1),
    inference(split_conjunct,[status(thm)],[c_0_1971]) ).

cnf(c_0_2736,plain,
    lhs_atom594(X1),
    inference(split_conjunct,[status(thm)],[c_0_1972]) ).

cnf(c_0_2737,plain,
    lhs_atom593(X1),
    inference(split_conjunct,[status(thm)],[c_0_1973]) ).

cnf(c_0_2738,plain,
    lhs_atom590(X1),
    inference(split_conjunct,[status(thm)],[c_0_1974]) ).

cnf(c_0_2739,plain,
    lhs_atom589(X1),
    inference(split_conjunct,[status(thm)],[c_0_1975]) ).

cnf(c_0_2740,plain,
    lhs_atom583(X1),
    inference(split_conjunct,[status(thm)],[c_0_1976]) ).

cnf(c_0_2741,plain,
    lhs_atom576(X1),
    inference(split_conjunct,[status(thm)],[c_0_1977]) ).

cnf(c_0_2742,plain,
    lhs_atom572(X1),
    inference(split_conjunct,[status(thm)],[c_0_1978]) ).

cnf(c_0_2743,plain,
    lhs_atom568(X1),
    inference(split_conjunct,[status(thm)],[c_0_1979]) ).

cnf(c_0_2744,plain,
    lhs_atom563(X1),
    inference(split_conjunct,[status(thm)],[c_0_1980]) ).

cnf(c_0_2745,plain,
    lhs_atom556(X1),
    inference(split_conjunct,[status(thm)],[c_0_1981]) ).

cnf(c_0_2746,plain,
    lhs_atom551(X1),
    inference(split_conjunct,[status(thm)],[c_0_1982]) ).

cnf(c_0_2747,plain,
    lhs_atom548(X1),
    inference(split_conjunct,[status(thm)],[c_0_1983]) ).

cnf(c_0_2748,plain,
    lhs_atom545(X1),
    inference(split_conjunct,[status(thm)],[c_0_1984]) ).

cnf(c_0_2749,plain,
    lhs_atom537(X1),
    inference(split_conjunct,[status(thm)],[c_0_1985]) ).

cnf(c_0_2750,plain,
    lhs_atom531(X1),
    inference(split_conjunct,[status(thm)],[c_0_1986]) ).

cnf(c_0_2751,plain,
    lhs_atom530(X1),
    inference(split_conjunct,[status(thm)],[c_0_1987]) ).

cnf(c_0_2752,plain,
    lhs_atom516(X1),
    inference(split_conjunct,[status(thm)],[c_0_1988]) ).

cnf(c_0_2753,plain,
    lhs_atom515(X1),
    inference(split_conjunct,[status(thm)],[c_0_1989]) ).

cnf(c_0_2754,plain,
    lhs_atom512(X1),
    inference(split_conjunct,[status(thm)],[c_0_1990]) ).

cnf(c_0_2755,plain,
    lhs_atom511(X1),
    inference(split_conjunct,[status(thm)],[c_0_1991]) ).

cnf(c_0_2756,plain,
    lhs_atom510(X1),
    inference(split_conjunct,[status(thm)],[c_0_1992]) ).

cnf(c_0_2757,plain,
    lhs_atom509(X1),
    inference(split_conjunct,[status(thm)],[c_0_1993]) ).

cnf(c_0_2758,plain,
    lhs_atom504(X1),
    inference(split_conjunct,[status(thm)],[c_0_1994]) ).

cnf(c_0_2759,plain,
    lhs_atom503(X1),
    inference(split_conjunct,[status(thm)],[c_0_1995]) ).

cnf(c_0_2760,plain,
    lhs_atom502(X1),
    inference(split_conjunct,[status(thm)],[c_0_1996]) ).

cnf(c_0_2761,plain,
    lhs_atom501(X1),
    inference(split_conjunct,[status(thm)],[c_0_1997]) ).

cnf(c_0_2762,plain,
    lhs_atom500(X1),
    inference(split_conjunct,[status(thm)],[c_0_1998]) ).

cnf(c_0_2763,plain,
    lhs_atom499(X1),
    inference(split_conjunct,[status(thm)],[c_0_1999]) ).

cnf(c_0_2764,plain,
    lhs_atom493(X1),
    inference(split_conjunct,[status(thm)],[c_0_2000]) ).

cnf(c_0_2765,plain,
    lhs_atom491(X1),
    inference(split_conjunct,[status(thm)],[c_0_2001]) ).

cnf(c_0_2766,plain,
    lhs_atom489(X1),
    inference(split_conjunct,[status(thm)],[c_0_2002]) ).

cnf(c_0_2767,plain,
    lhs_atom487(X1),
    inference(split_conjunct,[status(thm)],[c_0_2003]) ).

cnf(c_0_2768,plain,
    lhs_atom479(X1),
    inference(split_conjunct,[status(thm)],[c_0_2004]) ).

cnf(c_0_2769,plain,
    lhs_atom477(X1),
    inference(split_conjunct,[status(thm)],[c_0_2005]) ).

cnf(c_0_2770,plain,
    lhs_atom476(X1),
    inference(split_conjunct,[status(thm)],[c_0_2006]) ).

cnf(c_0_2771,plain,
    lhs_atom474(X1),
    inference(split_conjunct,[status(thm)],[c_0_2007]) ).

cnf(c_0_2772,plain,
    lhs_atom473(X1),
    inference(split_conjunct,[status(thm)],[c_0_2008]) ).

cnf(c_0_2773,plain,
    lhs_atom469(X1),
    inference(split_conjunct,[status(thm)],[c_0_2009]) ).

cnf(c_0_2774,plain,
    lhs_atom465(X1),
    inference(split_conjunct,[status(thm)],[c_0_2010]) ).

cnf(c_0_2775,plain,
    lhs_atom462(X1),
    inference(split_conjunct,[status(thm)],[c_0_2011]) ).

cnf(c_0_2776,plain,
    lhs_atom461(X1),
    inference(split_conjunct,[status(thm)],[c_0_2012]) ).

cnf(c_0_2777,plain,
    lhs_atom460(X1),
    inference(split_conjunct,[status(thm)],[c_0_2013]) ).

cnf(c_0_2778,plain,
    lhs_atom456(X1),
    inference(split_conjunct,[status(thm)],[c_0_2014]) ).

cnf(c_0_2779,plain,
    lhs_atom454(X1),
    inference(split_conjunct,[status(thm)],[c_0_2015]) ).

cnf(c_0_2780,plain,
    lhs_atom453(X1),
    inference(split_conjunct,[status(thm)],[c_0_2016]) ).

cnf(c_0_2781,plain,
    lhs_atom452(X1),
    inference(split_conjunct,[status(thm)],[c_0_2017]) ).

cnf(c_0_2782,plain,
    lhs_atom451(X1),
    inference(split_conjunct,[status(thm)],[c_0_2018]) ).

cnf(c_0_2783,plain,
    lhs_atom448(X1),
    inference(split_conjunct,[status(thm)],[c_0_2019]) ).

cnf(c_0_2784,plain,
    lhs_atom445(X1),
    inference(split_conjunct,[status(thm)],[c_0_2020]) ).

cnf(c_0_2785,plain,
    lhs_atom438(X1),
    inference(split_conjunct,[status(thm)],[c_0_2021]) ).

cnf(c_0_2786,plain,
    lhs_atom436(X1),
    inference(split_conjunct,[status(thm)],[c_0_2022]) ).

cnf(c_0_2787,plain,
    lhs_atom421(X1),
    inference(split_conjunct,[status(thm)],[c_0_2023]) ).

cnf(c_0_2788,plain,
    lhs_atom421(X1),
    inference(split_conjunct,[status(thm)],[c_0_2024]) ).

cnf(c_0_2789,plain,
    lhs_atom416(X1),
    inference(split_conjunct,[status(thm)],[c_0_2025]) ).

cnf(c_0_2790,plain,
    lhs_atom290(X1),
    inference(split_conjunct,[status(thm)],[c_0_2026]) ).

cnf(c_0_2791,plain,
    lhs_atom405(X1),
    inference(split_conjunct,[status(thm)],[c_0_2027]) ).

cnf(c_0_2792,plain,
    lhs_atom405(X1),
    inference(split_conjunct,[status(thm)],[c_0_2028]) ).

cnf(c_0_2793,plain,
    lhs_atom400(X1),
    inference(split_conjunct,[status(thm)],[c_0_2029]) ).

cnf(c_0_2794,plain,
    lhs_atom345(X1),
    inference(split_conjunct,[status(thm)],[c_0_2030]) ).

cnf(c_0_2795,plain,
    lhs_atom344(X1),
    inference(split_conjunct,[status(thm)],[c_0_2031]) ).

cnf(c_0_2796,plain,
    lhs_atom323(X1),
    inference(split_conjunct,[status(thm)],[c_0_2032]) ).

cnf(c_0_2797,plain,
    lhs_atom319(X1),
    inference(split_conjunct,[status(thm)],[c_0_2033]) ).

cnf(c_0_2798,plain,
    lhs_atom303(X1),
    inference(split_conjunct,[status(thm)],[c_0_2034]) ).

cnf(c_0_2799,plain,
    lhs_atom300(X1),
    inference(split_conjunct,[status(thm)],[c_0_2035]) ).

cnf(c_0_2800,plain,
    lhs_atom296(X1),
    inference(split_conjunct,[status(thm)],[c_0_2036]) ).

cnf(c_0_2801,plain,
    lhs_atom289(X1),
    inference(split_conjunct,[status(thm)],[c_0_2037]) ).

cnf(c_0_2802,plain,
    lhs_atom290(X1),
    inference(split_conjunct,[status(thm)],[c_0_2038]) ).

cnf(c_0_2803,plain,
    lhs_atom289(X1),
    inference(split_conjunct,[status(thm)],[c_0_2039]) ).

cnf(c_0_2804,plain,
    lhs_atom284(X1),
    inference(split_conjunct,[status(thm)],[c_0_2040]) ).

cnf(c_0_2805,plain,
    lhs_atom281(X1),
    inference(split_conjunct,[status(thm)],[c_0_2041]) ).

cnf(c_0_2806,plain,
    lhs_atom280(X1),
    inference(split_conjunct,[status(thm)],[c_0_2042]) ).

cnf(c_0_2807,plain,
    lhs_atom279(X1),
    inference(split_conjunct,[status(thm)],[c_0_2043]) ).

cnf(c_0_2808,plain,
    lhs_atom278(X1),
    inference(split_conjunct,[status(thm)],[c_0_2044]) ).

cnf(c_0_2809,plain,
    lhs_atom276(X1),
    inference(split_conjunct,[status(thm)],[c_0_2045]) ).

cnf(c_0_2810,plain,
    lhs_atom273(X1),
    inference(split_conjunct,[status(thm)],[c_0_2046]) ).

cnf(c_0_2811,plain,
    lhs_atom271(X1),
    inference(split_conjunct,[status(thm)],[c_0_2047]) ).

cnf(c_0_2812,plain,
    lhs_atom270(X1),
    inference(split_conjunct,[status(thm)],[c_0_2048]) ).

cnf(c_0_2813,plain,
    lhs_atom268(X1),
    inference(split_conjunct,[status(thm)],[c_0_2049]) ).

cnf(c_0_2814,plain,
    lhs_atom267(X1),
    inference(split_conjunct,[status(thm)],[c_0_2050]) ).

cnf(c_0_2815,plain,
    lhs_atom265(X1),
    inference(split_conjunct,[status(thm)],[c_0_2051]) ).

cnf(c_0_2816,plain,
    lhs_atom262(X1),
    inference(split_conjunct,[status(thm)],[c_0_2052]) ).

cnf(c_0_2817,plain,
    lhs_atom261(X1),
    inference(split_conjunct,[status(thm)],[c_0_2053]) ).

cnf(c_0_2818,plain,
    lhs_atom260(X1),
    inference(split_conjunct,[status(thm)],[c_0_2054]) ).

cnf(c_0_2819,plain,
    lhs_atom259(X1),
    inference(split_conjunct,[status(thm)],[c_0_2055]) ).

cnf(c_0_2820,plain,
    lhs_atom256(X1),
    inference(split_conjunct,[status(thm)],[c_0_2056]) ).

cnf(c_0_2821,plain,
    lhs_atom255(X1),
    inference(split_conjunct,[status(thm)],[c_0_2057]) ).

cnf(c_0_2822,plain,
    lhs_atom253(X1),
    inference(split_conjunct,[status(thm)],[c_0_2058]) ).

cnf(c_0_2823,plain,
    lhs_atom251(X1),
    inference(split_conjunct,[status(thm)],[c_0_2059]) ).

cnf(c_0_2824,plain,
    lhs_atom248(X1),
    inference(split_conjunct,[status(thm)],[c_0_2060]) ).

cnf(c_0_2825,plain,
    lhs_atom245(X1),
    inference(split_conjunct,[status(thm)],[c_0_2061]) ).

cnf(c_0_2826,plain,
    lhs_atom240(X1),
    inference(split_conjunct,[status(thm)],[c_0_2062]) ).

cnf(c_0_2827,plain,
    lhs_atom235(X1),
    inference(split_conjunct,[status(thm)],[c_0_2063]) ).

cnf(c_0_2828,plain,
    lhs_atom234(X1),
    inference(split_conjunct,[status(thm)],[c_0_2064]) ).

cnf(c_0_2829,plain,
    lhs_atom233(X1),
    inference(split_conjunct,[status(thm)],[c_0_2065]) ).

cnf(c_0_2830,plain,
    lhs_atom232(X1),
    inference(split_conjunct,[status(thm)],[c_0_2066]) ).

cnf(c_0_2831,plain,
    lhs_atom230(X1),
    inference(split_conjunct,[status(thm)],[c_0_2067]) ).

cnf(c_0_2832,plain,
    lhs_atom229(X1),
    inference(split_conjunct,[status(thm)],[c_0_2068]) ).

cnf(c_0_2833,plain,
    lhs_atom217(X1),
    inference(split_conjunct,[status(thm)],[c_0_2069]) ).

cnf(c_0_2834,plain,
    lhs_atom210(X1),
    inference(split_conjunct,[status(thm)],[c_0_2070]) ).

cnf(c_0_2835,plain,
    lhs_atom209(X1),
    inference(split_conjunct,[status(thm)],[c_0_2071]) ).

cnf(c_0_2836,plain,
    lhs_atom208(X1),
    inference(split_conjunct,[status(thm)],[c_0_2072]) ).

cnf(c_0_2837,plain,
    lhs_atom204(X1),
    inference(split_conjunct,[status(thm)],[c_0_2073]) ).

cnf(c_0_2838,plain,
    lhs_atom203(X1),
    inference(split_conjunct,[status(thm)],[c_0_2074]) ).

cnf(c_0_2839,plain,
    lhs_atom202(X1),
    inference(split_conjunct,[status(thm)],[c_0_2075]) ).

cnf(c_0_2840,plain,
    lhs_atom201(X1),
    inference(split_conjunct,[status(thm)],[c_0_2076]) ).

cnf(c_0_2841,plain,
    lhs_atom171(X1),
    inference(split_conjunct,[status(thm)],[c_0_2077]) ).

cnf(c_0_2842,plain,
    lhs_atom168(X1),
    inference(split_conjunct,[status(thm)],[c_0_2078]) ).

cnf(c_0_2843,plain,
    lhs_atom165(X1),
    inference(split_conjunct,[status(thm)],[c_0_2079]) ).

cnf(c_0_2844,plain,
    lhs_atom164(X1),
    inference(split_conjunct,[status(thm)],[c_0_2080]) ).

cnf(c_0_2845,plain,
    lhs_atom163(X1),
    inference(split_conjunct,[status(thm)],[c_0_2081]) ).

cnf(c_0_2846,plain,
    lhs_atom161(X1),
    inference(split_conjunct,[status(thm)],[c_0_2082]) ).

cnf(c_0_2847,plain,
    lhs_atom160(X1),
    inference(split_conjunct,[status(thm)],[c_0_2083]) ).

cnf(c_0_2848,plain,
    lhs_atom159(X1),
    inference(split_conjunct,[status(thm)],[c_0_2084]) ).

cnf(c_0_2849,plain,
    lhs_atom158(X1),
    inference(split_conjunct,[status(thm)],[c_0_2085]) ).

cnf(c_0_2850,plain,
    lhs_atom157(X1),
    inference(split_conjunct,[status(thm)],[c_0_2086]) ).

cnf(c_0_2851,plain,
    lhs_atom156(X1),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_2852,plain,
    lhs_atom37(X1),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_2853,plain,
    lhs_atom31(X1),
    inference(split_conjunct,[status(thm)],[c_0_2089]) ).

cnf(c_0_2854,plain,
    lhs_atom26(X1),
    inference(split_conjunct,[status(thm)],[c_0_2090]) ).

cnf(c_0_2855,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_2091]) ).

cnf(c_0_2856,plain,
    lhs_atom20(X1),
    inference(split_conjunct,[status(thm)],[c_0_2092]) ).

cnf(c_0_2857,plain,
    lhs_atom19(X1),
    inference(split_conjunct,[status(thm)],[c_0_2093]) ).

cnf(c_0_2858,plain,
    lhs_atom18(X1),
    inference(split_conjunct,[status(thm)],[c_0_2094]) ).

cnf(c_0_2859,plain,
    lhs_atom11(X1),
    inference(split_conjunct,[status(thm)],[c_0_2095]) ).

cnf(c_0_2860,plain,
    lhs_atom10(X1),
    inference(split_conjunct,[status(thm)],[c_0_2096]) ).

cnf(c_0_2861,plain,
    lhs_atom5(X1),
    inference(split_conjunct,[status(thm)],[c_0_2097]) ).

cnf(c_0_2862,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_2098]) ).

cnf(c_0_2863,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_2099]) ).

cnf(c_0_2864,plain,
    lhs_atom737,
    inference(split_conjunct,[status(thm)],[c_0_2100]) ).

cnf(c_0_2865,plain,
    lhs_atom736,
    inference(split_conjunct,[status(thm)],[c_0_2101]) ).

cnf(c_0_2866,plain,
    lhs_atom733,
    inference(split_conjunct,[status(thm)],[c_0_2102]) ).

cnf(c_0_2867,plain,
    lhs_atom732,
    inference(split_conjunct,[status(thm)],[c_0_2103]) ).

cnf(c_0_2868,plain,
    lhs_atom702,
    inference(split_conjunct,[status(thm)],[c_0_2104]) ).

cnf(c_0_2869,plain,
    lhs_atom669,
    inference(split_conjunct,[status(thm)],[c_0_2105]) ).

cnf(c_0_2870,plain,
    lhs_atom668,
    inference(split_conjunct,[status(thm)],[c_0_2106]) ).

cnf(c_0_2871,plain,
    lhs_atom666,
    inference(split_conjunct,[status(thm)],[c_0_2107]) ).

cnf(c_0_2872,plain,
    lhs_atom649,
    inference(split_conjunct,[status(thm)],[c_0_2108]) ).

cnf(c_0_2873,plain,
    lhs_atom646,
    inference(split_conjunct,[status(thm)],[c_0_2109]) ).

cnf(c_0_2874,plain,
    lhs_atom644,
    inference(split_conjunct,[status(thm)],[c_0_2110]) ).

cnf(c_0_2875,plain,
    lhs_atom641,
    inference(split_conjunct,[status(thm)],[c_0_2111]) ).

cnf(c_0_2876,plain,
    lhs_atom640,
    inference(split_conjunct,[status(thm)],[c_0_2112]) ).

cnf(c_0_2877,plain,
    lhs_atom595,
    inference(split_conjunct,[status(thm)],[c_0_2113]) ).

cnf(c_0_2878,plain,
    lhs_atom569,
    inference(split_conjunct,[status(thm)],[c_0_2114]) ).

cnf(c_0_2879,plain,
    lhs_atom558,
    inference(split_conjunct,[status(thm)],[c_0_2115]) ).

cnf(c_0_2880,plain,
    lhs_atom557,
    inference(split_conjunct,[status(thm)],[c_0_2116]) ).

cnf(c_0_2881,plain,
    lhs_atom529,
    inference(split_conjunct,[status(thm)],[c_0_2117]) ).

cnf(c_0_2882,plain,
    lhs_atom528,
    inference(split_conjunct,[status(thm)],[c_0_2118]) ).

cnf(c_0_2883,plain,
    lhs_atom527,
    inference(split_conjunct,[status(thm)],[c_0_2119]) ).

cnf(c_0_2884,plain,
    lhs_atom526,
    inference(split_conjunct,[status(thm)],[c_0_2120]) ).

cnf(c_0_2885,plain,
    lhs_atom525,
    inference(split_conjunct,[status(thm)],[c_0_2121]) ).

cnf(c_0_2886,plain,
    lhs_atom522,
    inference(split_conjunct,[status(thm)],[c_0_2122]) ).

cnf(c_0_2887,plain,
    lhs_atom521,
    inference(split_conjunct,[status(thm)],[c_0_2123]) ).

cnf(c_0_2888,plain,
    lhs_atom518,
    inference(split_conjunct,[status(thm)],[c_0_2124]) ).

cnf(c_0_2889,plain,
    lhs_atom517,
    inference(split_conjunct,[status(thm)],[c_0_2125]) ).

cnf(c_0_2890,plain,
    lhs_atom514,
    inference(split_conjunct,[status(thm)],[c_0_2126]) ).

cnf(c_0_2891,plain,
    lhs_atom513,
    inference(split_conjunct,[status(thm)],[c_0_2127]) ).

cnf(c_0_2892,plain,
    lhs_atom506,
    inference(split_conjunct,[status(thm)],[c_0_2128]) ).

cnf(c_0_2893,plain,
    lhs_atom505,
    inference(split_conjunct,[status(thm)],[c_0_2129]) ).

cnf(c_0_2894,plain,
    lhs_atom495,
    inference(split_conjunct,[status(thm)],[c_0_2130]) ).

cnf(c_0_2895,plain,
    lhs_atom494,
    inference(split_conjunct,[status(thm)],[c_0_2131]) ).

cnf(c_0_2896,plain,
    lhs_atom488,
    inference(split_conjunct,[status(thm)],[c_0_2132]) ).

cnf(c_0_2897,plain,
    lhs_atom486,
    inference(split_conjunct,[status(thm)],[c_0_2133]) ).

cnf(c_0_2898,plain,
    lhs_atom483,
    inference(split_conjunct,[status(thm)],[c_0_2134]) ).

cnf(c_0_2899,plain,
    lhs_atom472,
    inference(split_conjunct,[status(thm)],[c_0_2135]) ).

cnf(c_0_2900,plain,
    lhs_atom471,
    inference(split_conjunct,[status(thm)],[c_0_2136]) ).

cnf(c_0_2901,plain,
    lhs_atom470,
    inference(split_conjunct,[status(thm)],[c_0_2137]) ).

cnf(c_0_2902,plain,
    lhs_atom464,
    inference(split_conjunct,[status(thm)],[c_0_2138]) ).

cnf(c_0_2903,plain,
    lhs_atom458,
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_2904,plain,
    lhs_atom447,
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_2905,plain,
    lhs_atom446,
    inference(split_conjunct,[status(thm)],[c_0_2141]) ).

cnf(c_0_2906,plain,
    lhs_atom394,
    inference(split_conjunct,[status(thm)],[c_0_2142]) ).

cnf(c_0_2907,plain,
    lhs_atom393,
    inference(split_conjunct,[status(thm)],[c_0_2143]) ).

cnf(c_0_2908,plain,
    lhs_atom392,
    inference(split_conjunct,[status(thm)],[c_0_2144]) ).

cnf(c_0_2909,plain,
    lhs_atom391,
    inference(split_conjunct,[status(thm)],[c_0_2145]) ).

cnf(c_0_2910,plain,
    lhs_atom390,
    inference(split_conjunct,[status(thm)],[c_0_2146]) ).

cnf(c_0_2911,plain,
    lhs_atom389,
    inference(split_conjunct,[status(thm)],[c_0_2147]) ).

cnf(c_0_2912,plain,
    lhs_atom388,
    inference(split_conjunct,[status(thm)],[c_0_2148]) ).

cnf(c_0_2913,plain,
    lhs_atom387,
    inference(split_conjunct,[status(thm)],[c_0_2149]) ).

cnf(c_0_2914,plain,
    lhs_atom386,
    inference(split_conjunct,[status(thm)],[c_0_2150]) ).

cnf(c_0_2915,plain,
    lhs_atom385,
    inference(split_conjunct,[status(thm)],[c_0_2151]) ).

cnf(c_0_2916,plain,
    lhs_atom384,
    inference(split_conjunct,[status(thm)],[c_0_2152]) ).

cnf(c_0_2917,plain,
    lhs_atom383,
    inference(split_conjunct,[status(thm)],[c_0_2153]) ).

cnf(c_0_2918,plain,
    lhs_atom382,
    inference(split_conjunct,[status(thm)],[c_0_2154]) ).

cnf(c_0_2919,plain,
    lhs_atom381,
    inference(split_conjunct,[status(thm)],[c_0_2155]) ).

cnf(c_0_2920,plain,
    lhs_atom380,
    inference(split_conjunct,[status(thm)],[c_0_2156]) ).

cnf(c_0_2921,plain,
    lhs_atom379,
    inference(split_conjunct,[status(thm)],[c_0_2157]) ).

cnf(c_0_2922,plain,
    lhs_atom275,
    inference(split_conjunct,[status(thm)],[c_0_2158]) ).

cnf(c_0_2923,plain,
    lhs_atom257,
    inference(split_conjunct,[status(thm)],[c_0_2159]) ).

cnf(c_0_2924,plain,
    lhs_atom254,
    inference(split_conjunct,[status(thm)],[c_0_2160]) ).

cnf(c_0_2925,plain,
    lhs_atom250,
    inference(split_conjunct,[status(thm)],[c_0_2161]) ).

cnf(c_0_2926,plain,
    lhs_atom249,
    inference(split_conjunct,[status(thm)],[c_0_2162]) ).

cnf(c_0_2927,plain,
    lhs_atom247,
    inference(split_conjunct,[status(thm)],[c_0_2163]) ).

cnf(c_0_2928,plain,
    lhs_atom246,
    inference(split_conjunct,[status(thm)],[c_0_2164]) ).

cnf(c_0_2929,plain,
    lhs_atom244,
    inference(split_conjunct,[status(thm)],[c_0_2165]) ).

cnf(c_0_2930,plain,
    lhs_atom242,
    inference(split_conjunct,[status(thm)],[c_0_2166]) ).

cnf(c_0_2931,plain,
    lhs_atom241,
    inference(split_conjunct,[status(thm)],[c_0_2167]) ).

cnf(c_0_2932,plain,
    lhs_atom228,
    inference(split_conjunct,[status(thm)],[c_0_2168]) ).

cnf(c_0_2933,plain,
    lhs_atom227,
    inference(split_conjunct,[status(thm)],[c_0_2169]) ).

cnf(c_0_2934,plain,
    lhs_atom224,
    inference(split_conjunct,[status(thm)],[c_0_2170]) ).

cnf(c_0_2935,plain,
    lhs_atom223,
    inference(split_conjunct,[status(thm)],[c_0_2171]) ).

cnf(c_0_2936,plain,
    lhs_atom207,
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_2937,plain,
    lhs_atom206,
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_2938,plain,
    lhs_atom179,
    inference(split_conjunct,[status(thm)],[c_0_2174]) ).

cnf(c_0_2939,plain,
    lhs_atom155,
    inference(split_conjunct,[status(thm)],[c_0_2175]) ).

cnf(c_0_2940,plain,
    lhs_atom154,
    inference(split_conjunct,[status(thm)],[c_0_2176]) ).

cnf(c_0_2941,plain,
    lhs_atom153,
    inference(split_conjunct,[status(thm)],[c_0_2177]) ).

cnf(c_0_2942,plain,
    lhs_atom152,
    inference(split_conjunct,[status(thm)],[c_0_2178]) ).

cnf(c_0_2943,plain,
    lhs_atom151,
    inference(split_conjunct,[status(thm)],[c_0_2179]) ).

cnf(c_0_2944,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_2180]) ).

cnf(c_0_2945,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_2181]) ).

cnf(c_0_2946,plain,
    lhs_atom148,
    inference(split_conjunct,[status(thm)],[c_0_2182]) ).

cnf(c_0_2947,plain,
    lhs_atom147,
    inference(split_conjunct,[status(thm)],[c_0_2183]) ).

cnf(c_0_2948,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_2184]) ).

cnf(c_0_2949,plain,
    lhs_atom145,
    inference(split_conjunct,[status(thm)],[c_0_2185]) ).

cnf(c_0_2950,plain,
    lhs_atom144,
    inference(split_conjunct,[status(thm)],[c_0_2186]) ).

cnf(c_0_2951,plain,
    lhs_atom143,
    inference(split_conjunct,[status(thm)],[c_0_2187]) ).

cnf(c_0_2952,plain,
    lhs_atom142,
    inference(split_conjunct,[status(thm)],[c_0_2188]) ).

cnf(c_0_2953,plain,
    lhs_atom141,
    inference(split_conjunct,[status(thm)],[c_0_2189]) ).

cnf(c_0_2954,plain,
    lhs_atom140,
    inference(split_conjunct,[status(thm)],[c_0_2190]) ).

cnf(c_0_2955,plain,
    lhs_atom139,
    inference(split_conjunct,[status(thm)],[c_0_2191]) ).

cnf(c_0_2956,plain,
    lhs_atom138,
    inference(split_conjunct,[status(thm)],[c_0_2192]) ).

cnf(c_0_2957,plain,
    lhs_atom137,
    inference(split_conjunct,[status(thm)],[c_0_2193]) ).

cnf(c_0_2958,plain,
    lhs_atom136,
    inference(split_conjunct,[status(thm)],[c_0_2194]) ).

cnf(c_0_2959,plain,
    lhs_atom135,
    inference(split_conjunct,[status(thm)],[c_0_2195]) ).

cnf(c_0_2960,plain,
    lhs_atom134,
    inference(split_conjunct,[status(thm)],[c_0_2196]) ).

cnf(c_0_2961,plain,
    lhs_atom133,
    inference(split_conjunct,[status(thm)],[c_0_2197]) ).

cnf(c_0_2962,plain,
    lhs_atom132,
    inference(split_conjunct,[status(thm)],[c_0_2198]) ).

cnf(c_0_2963,plain,
    lhs_atom131,
    inference(split_conjunct,[status(thm)],[c_0_2199]) ).

cnf(c_0_2964,plain,
    lhs_atom130,
    inference(split_conjunct,[status(thm)],[c_0_2200]) ).

cnf(c_0_2965,plain,
    lhs_atom129,
    inference(split_conjunct,[status(thm)],[c_0_2201]) ).

cnf(c_0_2966,plain,
    lhs_atom128,
    inference(split_conjunct,[status(thm)],[c_0_2202]) ).

cnf(c_0_2967,plain,
    lhs_atom127,
    inference(split_conjunct,[status(thm)],[c_0_2203]) ).

cnf(c_0_2968,plain,
    lhs_atom126,
    inference(split_conjunct,[status(thm)],[c_0_2204]) ).

cnf(c_0_2969,plain,
    lhs_atom125,
    inference(split_conjunct,[status(thm)],[c_0_2205]) ).

cnf(c_0_2970,plain,
    lhs_atom124,
    inference(split_conjunct,[status(thm)],[c_0_2206]) ).

cnf(c_0_2971,plain,
    lhs_atom123,
    inference(split_conjunct,[status(thm)],[c_0_2207]) ).

cnf(c_0_2972,plain,
    lhs_atom122,
    inference(split_conjunct,[status(thm)],[c_0_2208]) ).

cnf(c_0_2973,plain,
    lhs_atom121,
    inference(split_conjunct,[status(thm)],[c_0_2209]) ).

cnf(c_0_2974,plain,
    lhs_atom120,
    inference(split_conjunct,[status(thm)],[c_0_2210]) ).

cnf(c_0_2975,plain,
    lhs_atom119,
    inference(split_conjunct,[status(thm)],[c_0_2211]) ).

cnf(c_0_2976,plain,
    lhs_atom118,
    inference(split_conjunct,[status(thm)],[c_0_2212]) ).

cnf(c_0_2977,plain,
    lhs_atom117,
    inference(split_conjunct,[status(thm)],[c_0_2213]) ).

cnf(c_0_2978,plain,
    lhs_atom116,
    inference(split_conjunct,[status(thm)],[c_0_2214]) ).

cnf(c_0_2979,plain,
    lhs_atom115,
    inference(split_conjunct,[status(thm)],[c_0_2215]) ).

cnf(c_0_2980,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_2216]) ).

cnf(c_0_2981,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_2217]) ).

cnf(c_0_2982,plain,
    lhs_atom112,
    inference(split_conjunct,[status(thm)],[c_0_2218]) ).

cnf(c_0_2983,plain,
    lhs_atom111,
    inference(split_conjunct,[status(thm)],[c_0_2219]) ).

cnf(c_0_2984,plain,
    lhs_atom110,
    inference(split_conjunct,[status(thm)],[c_0_2220]) ).

cnf(c_0_2985,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_2221]) ).

cnf(c_0_2986,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_2222]) ).

cnf(c_0_2987,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_2223]) ).

cnf(c_0_2988,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_2224]) ).

cnf(c_0_2989,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_2225]) ).

cnf(c_0_2990,plain,
    lhs_atom103,
    inference(split_conjunct,[status(thm)],[c_0_2226]) ).

cnf(c_0_2991,plain,
    lhs_atom102,
    inference(split_conjunct,[status(thm)],[c_0_2227]) ).

cnf(c_0_2992,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_2228]) ).

cnf(c_0_2993,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_2229]) ).

cnf(c_0_2994,plain,
    lhs_atom99,
    inference(split_conjunct,[status(thm)],[c_0_2230]) ).

cnf(c_0_2995,plain,
    lhs_atom98,
    inference(split_conjunct,[status(thm)],[c_0_2231]) ).

cnf(c_0_2996,plain,
    lhs_atom97,
    inference(split_conjunct,[status(thm)],[c_0_2232]) ).

cnf(c_0_2997,plain,
    lhs_atom96,
    inference(split_conjunct,[status(thm)],[c_0_2233]) ).

cnf(c_0_2998,plain,
    lhs_atom95,
    inference(split_conjunct,[status(thm)],[c_0_2234]) ).

cnf(c_0_2999,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_2235]) ).

cnf(c_0_3000,plain,
    lhs_atom93,
    inference(split_conjunct,[status(thm)],[c_0_2236]) ).

cnf(c_0_3001,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_2237]) ).

cnf(c_0_3002,plain,
    lhs_atom91,
    inference(split_conjunct,[status(thm)],[c_0_2238]) ).

cnf(c_0_3003,plain,
    lhs_atom90,
    inference(split_conjunct,[status(thm)],[c_0_2239]) ).

cnf(c_0_3004,plain,
    lhs_atom89,
    inference(split_conjunct,[status(thm)],[c_0_2240]) ).

cnf(c_0_3005,plain,
    lhs_atom88,
    inference(split_conjunct,[status(thm)],[c_0_2241]) ).

cnf(c_0_3006,plain,
    lhs_atom87,
    inference(split_conjunct,[status(thm)],[c_0_2242]) ).

cnf(c_0_3007,plain,
    lhs_atom86,
    inference(split_conjunct,[status(thm)],[c_0_2243]) ).

cnf(c_0_3008,plain,
    lhs_atom85,
    inference(split_conjunct,[status(thm)],[c_0_2244]) ).

cnf(c_0_3009,plain,
    lhs_atom84,
    inference(split_conjunct,[status(thm)],[c_0_2245]) ).

cnf(c_0_3010,plain,
    lhs_atom83,
    inference(split_conjunct,[status(thm)],[c_0_2246]) ).

cnf(c_0_3011,plain,
    lhs_atom82,
    inference(split_conjunct,[status(thm)],[c_0_2247]) ).

cnf(c_0_3012,plain,
    lhs_atom81,
    inference(split_conjunct,[status(thm)],[c_0_2248]) ).

cnf(c_0_3013,plain,
    lhs_atom80,
    inference(split_conjunct,[status(thm)],[c_0_2249]) ).

cnf(c_0_3014,plain,
    lhs_atom79,
    inference(split_conjunct,[status(thm)],[c_0_2250]) ).

cnf(c_0_3015,plain,
    lhs_atom78,
    inference(split_conjunct,[status(thm)],[c_0_2251]) ).

cnf(c_0_3016,plain,
    lhs_atom77,
    inference(split_conjunct,[status(thm)],[c_0_2252]) ).

cnf(c_0_3017,plain,
    lhs_atom76,
    inference(split_conjunct,[status(thm)],[c_0_2253]) ).

cnf(c_0_3018,plain,
    lhs_atom75,
    inference(split_conjunct,[status(thm)],[c_0_2254]) ).

cnf(c_0_3019,plain,
    lhs_atom74,
    inference(split_conjunct,[status(thm)],[c_0_2255]) ).

cnf(c_0_3020,plain,
    lhs_atom73,
    inference(split_conjunct,[status(thm)],[c_0_2256]) ).

cnf(c_0_3021,plain,
    lhs_atom72,
    inference(split_conjunct,[status(thm)],[c_0_2257]) ).

cnf(c_0_3022,plain,
    lhs_atom71,
    inference(split_conjunct,[status(thm)],[c_0_2258]) ).

cnf(c_0_3023,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_2259]) ).

cnf(c_0_3024,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_2260]) ).

cnf(c_0_3025,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_2261]) ).

cnf(c_0_3026,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_2262]) ).

cnf(c_0_3027,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_2263]) ).

cnf(c_0_3028,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_2264]) ).

cnf(c_0_3029,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_2265]) ).

cnf(c_0_3030,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_2266]) ).

cnf(c_0_3031,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_2267]) ).

cnf(c_0_3032,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_2268]) ).

cnf(c_0_3033,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_2269]) ).

cnf(c_0_3034,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3035,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_2271]) ).

cnf(c_0_3036,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_2272]) ).

cnf(c_0_3037,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_2273]) ).

cnf(c_0_3038,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_2274]) ).

cnf(c_0_3039,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_2275]) ).

cnf(c_0_3040,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_2276]) ).

cnf(c_0_3041,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_2277]) ).

cnf(c_0_3042,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_2278]) ).

cnf(c_0_3043,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_2279]) ).

cnf(c_0_3044,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_2280]) ).

cnf(c_0_3045,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_2281]) ).

cnf(c_0_3046,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_2282]) ).

cnf(c_0_3047,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_2283]) ).

cnf(c_0_3048,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_2284]) ).

cnf(c_0_3049,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_2285]) ).

cnf(c_0_3050,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_2286]) ).

cnf(c_0_3051,plain,
    lhs_atom42,
    inference(split_conjunct,[status(thm)],[c_0_2287]) ).

cnf(c_0_3052,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_2288]) ).

cnf(c_0_3053,plain,
    lhs_atom40,
    inference(split_conjunct,[status(thm)],[c_0_2289]) ).

cnf(c_0_3054,plain,
    lhs_atom39,
    inference(split_conjunct,[status(thm)],[c_0_2290]) ).

cnf(c_0_3055,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_2291]) ).

cnf(c_0_3056,plain,
    lhs_atom378(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2292,
    [final] ).

cnf(c_0_3057,plain,
    lhs_atom377(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2293,
    [final] ).

cnf(c_0_3058,plain,
    lhs_atom376(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2294,
    [final] ).

cnf(c_0_3059,plain,
    lhs_atom375(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2295,
    [final] ).

cnf(c_0_3060,plain,
    lhs_atom374(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2296,
    [final] ).

cnf(c_0_3061,plain,
    lhs_atom373(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2297,
    [final] ).

cnf(c_0_3062,plain,
    lhs_atom372(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2298,
    [final] ).

cnf(c_0_3063,plain,
    lhs_atom371(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2299,
    [final] ).

cnf(c_0_3064,plain,
    lhs_atom370(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2300,
    [final] ).

cnf(c_0_3065,plain,
    lhs_atom369(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2301,
    [final] ).

cnf(c_0_3066,plain,
    lhs_atom368(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2302,
    [final] ).

cnf(c_0_3067,plain,
    lhs_atom367(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2303,
    [final] ).

cnf(c_0_3068,plain,
    lhs_atom366(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2304,
    [final] ).

cnf(c_0_3069,plain,
    lhs_atom365(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2305,
    [final] ).

cnf(c_0_3070,plain,
    lhs_atom364(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2306,
    [final] ).

cnf(c_0_3071,plain,
    lhs_atom363(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2307,
    [final] ).

cnf(c_0_3072,plain,
    lhs_atom362(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2308,
    [final] ).

cnf(c_0_3073,plain,
    lhs_atom361(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2309,
    [final] ).

cnf(c_0_3074,plain,
    lhs_atom360(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2310,
    [final] ).

cnf(c_0_3075,plain,
    lhs_atom359(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2311,
    [final] ).

cnf(c_0_3076,plain,
    lhs_atom358(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2312,
    [final] ).

cnf(c_0_3077,plain,
    lhs_atom357(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2313,
    [final] ).

cnf(c_0_3078,plain,
    lhs_atom356(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2314,
    [final] ).

cnf(c_0_3079,plain,
    lhs_atom355(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2315,
    [final] ).

cnf(c_0_3080,plain,
    lhs_atom354(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2316,
    [final] ).

cnf(c_0_3081,plain,
    lhs_atom353(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2317,
    [final] ).

cnf(c_0_3082,plain,
    lhs_atom352(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2318,
    [final] ).

cnf(c_0_3083,plain,
    lhs_atom351(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2319,
    [final] ).

cnf(c_0_3084,plain,
    lhs_atom350(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2320,
    [final] ).

cnf(c_0_3085,plain,
    lhs_atom349(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2321,
    [final] ).

cnf(c_0_3086,plain,
    lhs_atom348(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2322,
    [final] ).

cnf(c_0_3087,plain,
    lhs_atom347(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17),
    c_0_2323,
    [final] ).

cnf(c_0_3088,plain,
    lhs_atom757(X1,X2,X3,X4,X5,X6,X7),
    c_0_2324,
    [final] ).

cnf(c_0_3089,plain,
    lhs_atom443(X1,X2,X3,X4,X5,X6),
    c_0_2325,
    [final] ).

cnf(c_0_3090,plain,
    lhs_atom441(X1,X2,X3,X4,X5,X6),
    c_0_2326,
    [final] ).

cnf(c_0_3091,plain,
    lhs_atom673(X1,X2,X3,X4,X5),
    c_0_2327,
    [final] ).

cnf(c_0_3092,plain,
    lhs_atom672(X1,X2,X3,X4,X5),
    c_0_2328,
    [final] ).

cnf(c_0_3093,plain,
    lhs_atom671(X1,X2,X3,X4,X5),
    c_0_2329,
    [final] ).

cnf(c_0_3094,plain,
    lhs_atom670(X1,X2,X3,X4,X5),
    c_0_2330,
    [final] ).

cnf(c_0_3095,plain,
    lhs_atom341(X1,X2,X3,X4,X5),
    c_0_2331,
    [final] ).

cnf(c_0_3096,plain,
    lhs_atom198(X1,X2,X3,X4,X5),
    c_0_2332,
    [final] ).

cnf(c_0_3097,plain,
    lhs_atom191(X1,X2,X3,X4,X5),
    c_0_2333,
    [final] ).

cnf(c_0_3098,plain,
    lhs_atom190(X1,X2,X3,X4,X5),
    c_0_2334,
    [final] ).

cnf(c_0_3099,plain,
    lhs_atom189(X1,X2,X3,X4,X5),
    c_0_2335,
    [final] ).

cnf(c_0_3100,plain,
    lhs_atom188(X1,X2,X3,X4,X5),
    c_0_2336,
    [final] ).

cnf(c_0_3101,plain,
    lhs_atom186(X1,X2,X3,X4,X5),
    c_0_2337,
    [final] ).

cnf(c_0_3102,plain,
    lhs_atom180(X1,X2,X3,X4,X5),
    c_0_2338,
    [final] ).

cnf(c_0_3103,plain,
    lhs_atom749(X1,X2,X3,X4),
    c_0_2339,
    [final] ).

cnf(c_0_3104,plain,
    lhs_atom744(X1,X2,X3,X4),
    c_0_2340,
    [final] ).

cnf(c_0_3105,plain,
    lhs_atom694(X1,X2,X3,X4),
    c_0_2341,
    [final] ).

cnf(c_0_3106,plain,
    lhs_atom692(X1,X2,X3,X4),
    c_0_2342,
    [final] ).

cnf(c_0_3107,plain,
    lhs_atom684(X1,X2,X3,X4),
    c_0_2343,
    [final] ).

cnf(c_0_3108,plain,
    lhs_atom681(X1,X2,X3,X4),
    c_0_2344,
    [final] ).

cnf(c_0_3109,plain,
    lhs_atom675(X1,X2,X3,X4),
    c_0_2345,
    [final] ).

cnf(c_0_3110,plain,
    lhs_atom674(X1,X2,X3,X4),
    c_0_2346,
    [final] ).

cnf(c_0_3111,plain,
    lhs_atom625(X1,X2,X3,X4),
    c_0_2347,
    [final] ).

cnf(c_0_3112,plain,
    lhs_atom624(X1,X2,X3,X4),
    c_0_2348,
    [final] ).

cnf(c_0_3113,plain,
    lhs_atom619(X1,X2,X3,X4),
    c_0_2349,
    [final] ).

cnf(c_0_3114,plain,
    lhs_atom605(X1,X2,X3,X4),
    c_0_2350,
    [final] ).

cnf(c_0_3115,plain,
    lhs_atom604(X1,X2,X3,X4),
    c_0_2351,
    [final] ).

cnf(c_0_3116,plain,
    lhs_atom535(X1,X2,X3,X4),
    c_0_2352,
    [final] ).

cnf(c_0_3117,plain,
    lhs_atom533(X1,X2,X3,X4),
    c_0_2353,
    [final] ).

cnf(c_0_3118,plain,
    lhs_atom435(X1,X2,X3,X4),
    c_0_2354,
    [final] ).

cnf(c_0_3119,plain,
    lhs_atom434(X1,X2,X3,X4),
    c_0_2355,
    [final] ).

cnf(c_0_3120,plain,
    lhs_atom431(X1,X2,X3,X4),
    c_0_2356,
    [final] ).

cnf(c_0_3121,plain,
    lhs_atom430(X1,X2,X3,X4),
    c_0_2357,
    [final] ).

cnf(c_0_3122,plain,
    lhs_atom402(X1,X2,X3,X4),
    c_0_2358,
    [final] ).

cnf(c_0_3123,plain,
    lhs_atom399(X1,X2,X3,X4),
    c_0_2359,
    [final] ).

cnf(c_0_3124,plain,
    lhs_atom398(X1,X2,X3,X4),
    c_0_2360,
    [final] ).

cnf(c_0_3125,plain,
    lhs_atom397(X1,X2,X3,X4),
    c_0_2361,
    [final] ).

cnf(c_0_3126,plain,
    lhs_atom334(X1,X2,X3,X4),
    c_0_2362,
    [final] ).

cnf(c_0_3127,plain,
    lhs_atom332(X1,X2,X3,X4),
    c_0_2363,
    [final] ).

cnf(c_0_3128,plain,
    lhs_atom324(X1,X2,X3,X4),
    c_0_2364,
    [final] ).

cnf(c_0_3129,plain,
    lhs_atom315(X1,X2,X3,X4),
    c_0_2365,
    [final] ).

cnf(c_0_3130,plain,
    lhs_atom310(X1,X2,X3,X4),
    c_0_2366,
    [final] ).

cnf(c_0_3131,plain,
    lhs_atom309(X1,X2,X3,X4),
    c_0_2367,
    [final] ).

cnf(c_0_3132,plain,
    lhs_atom308(X1,X2,X3,X4),
    c_0_2368,
    [final] ).

cnf(c_0_3133,plain,
    lhs_atom307(X1,X2,X3,X4),
    c_0_2369,
    [final] ).

cnf(c_0_3134,plain,
    lhs_atom292(X1,X2,X3,X4),
    c_0_2370,
    [final] ).

cnf(c_0_3135,plain,
    lhs_atom197(X1,X2,X3,X4),
    c_0_2371,
    [final] ).

cnf(c_0_3136,plain,
    lhs_atom196(X1,X2,X3,X4),
    c_0_2372,
    [final] ).

cnf(c_0_3137,plain,
    lhs_atom195(X1,X2,X3,X4),
    c_0_2373,
    [final] ).

cnf(c_0_3138,plain,
    lhs_atom194(X1,X2,X3,X4),
    c_0_2374,
    [final] ).

cnf(c_0_3139,plain,
    lhs_atom193(X1,X2,X3,X4),
    c_0_2375,
    [final] ).

cnf(c_0_3140,plain,
    lhs_atom187(X1,X2,X3,X4),
    c_0_2376,
    [final] ).

cnf(c_0_3141,plain,
    lhs_atom185(X1,X2,X3,X4),
    c_0_2377,
    [final] ).

cnf(c_0_3142,plain,
    lhs_atom184(X1,X2,X3,X4),
    c_0_2378,
    [final] ).

cnf(c_0_3143,plain,
    lhs_atom183(X1,X2,X3,X4),
    c_0_2379,
    [final] ).

cnf(c_0_3144,plain,
    lhs_atom182(X1,X2,X3,X4),
    c_0_2380,
    [final] ).

cnf(c_0_3145,plain,
    lhs_atom181(X1,X2,X3,X4),
    c_0_2381,
    [final] ).

cnf(c_0_3146,plain,
    lhs_atom173(X1,X2,X3,X4),
    c_0_2382,
    [final] ).

cnf(c_0_3147,plain,
    ( c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat)
    | lhs_atom482(X2,X1) ),
    c_0_2383,
    [final] ).

cnf(c_0_3148,plain,
    ( c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat)
    | lhs_atom481(X2,X1) ),
    c_0_2384,
    [final] ).

cnf(c_0_3149,plain,
    lhs_atom756(X1,X2,X3),
    c_0_2385,
    [final] ).

cnf(c_0_3150,plain,
    lhs_atom755(X1,X2,X3),
    c_0_2386,
    [final] ).

cnf(c_0_3151,plain,
    lhs_atom754(X1,X2,X3),
    c_0_2387,
    [final] ).

cnf(c_0_3152,plain,
    lhs_atom748(X1,X2,X3),
    c_0_2388,
    [final] ).

cnf(c_0_3153,plain,
    lhs_atom747(X1,X2,X3),
    c_0_2389,
    [final] ).

cnf(c_0_3154,plain,
    lhs_atom746(X1,X2,X3),
    c_0_2390,
    [final] ).

cnf(c_0_3155,plain,
    lhs_atom745(X1,X2,X3),
    c_0_2391,
    [final] ).

cnf(c_0_3156,plain,
    lhs_atom743(X1,X2,X3),
    c_0_2392,
    [final] ).

cnf(c_0_3157,plain,
    lhs_atom735(X1,X2,X3),
    c_0_2393,
    [final] ).

cnf(c_0_3158,plain,
    lhs_atom734(X1,X2,X3),
    c_0_2394,
    [final] ).

cnf(c_0_3159,plain,
    lhs_atom731(X1,X2,X3),
    c_0_2395,
    [final] ).

cnf(c_0_3160,plain,
    lhs_atom730(X1,X2,X3),
    c_0_2396,
    [final] ).

cnf(c_0_3161,plain,
    lhs_atom728(X1,X2,X3),
    c_0_2397,
    [final] ).

cnf(c_0_3162,plain,
    lhs_atom721(X1,X2,X3),
    c_0_2398,
    [final] ).

cnf(c_0_3163,plain,
    lhs_atom718(X1,X2,X3),
    c_0_2399,
    [final] ).

cnf(c_0_3164,plain,
    lhs_atom717(X1,X2,X3),
    c_0_2400,
    [final] ).

cnf(c_0_3165,plain,
    lhs_atom713(X1,X2,X3),
    c_0_2401,
    [final] ).

cnf(c_0_3166,plain,
    lhs_atom707(X1,X2,X3),
    c_0_2402,
    [final] ).

cnf(c_0_3167,plain,
    lhs_atom705(X1,X2,X3),
    c_0_2403,
    [final] ).

cnf(c_0_3168,plain,
    lhs_atom698(X1,X2,X3),
    c_0_2404,
    [final] ).

cnf(c_0_3169,plain,
    lhs_atom697(X1,X2,X3),
    c_0_2405,
    [final] ).

cnf(c_0_3170,plain,
    lhs_atom696(X1,X2,X3),
    c_0_2406,
    [final] ).

cnf(c_0_3171,plain,
    lhs_atom695(X1,X2,X3),
    c_0_2407,
    [final] ).

cnf(c_0_3172,plain,
    lhs_atom693(X1,X2,X3),
    c_0_2408,
    [final] ).

cnf(c_0_3173,plain,
    lhs_atom691(X1,X2,X3),
    c_0_2409,
    [final] ).

cnf(c_0_3174,plain,
    lhs_atom690(X1,X2,X3),
    c_0_2410,
    [final] ).

cnf(c_0_3175,plain,
    lhs_atom689(X1,X2,X3),
    c_0_2411,
    [final] ).

cnf(c_0_3176,plain,
    lhs_atom688(X1,X2,X3),
    c_0_2412,
    [final] ).

cnf(c_0_3177,plain,
    lhs_atom687(X1,X2,X3),
    c_0_2413,
    [final] ).

cnf(c_0_3178,plain,
    lhs_atom683(X1,X2,X3),
    c_0_2414,
    [final] ).

cnf(c_0_3179,plain,
    lhs_atom682(X1,X2,X3),
    c_0_2415,
    [final] ).

cnf(c_0_3180,plain,
    lhs_atom680(X1,X2,X3),
    c_0_2416,
    [final] ).

cnf(c_0_3181,plain,
    lhs_atom676(X1,X2,X3),
    c_0_2417,
    [final] ).

cnf(c_0_3182,plain,
    lhs_atom667(X1,X2,X3),
    c_0_2418,
    [final] ).

cnf(c_0_3183,plain,
    lhs_atom654(X1,X2,X3),
    c_0_2419,
    [final] ).

cnf(c_0_3184,plain,
    lhs_atom651(X1,X2,X3),
    c_0_2420,
    [final] ).

cnf(c_0_3185,plain,
    lhs_atom620(X1,X2,X3),
    c_0_2421,
    [final] ).

cnf(c_0_3186,plain,
    lhs_atom618(X1,X2,X3),
    c_0_2422,
    [final] ).

cnf(c_0_3187,plain,
    lhs_atom617(X1,X2,X3),
    c_0_2423,
    [final] ).

cnf(c_0_3188,plain,
    lhs_atom616(X1,X2,X3),
    c_0_2424,
    [final] ).

cnf(c_0_3189,plain,
    lhs_atom615(X1,X2,X3),
    c_0_2425,
    [final] ).

cnf(c_0_3190,plain,
    lhs_atom610(X1,X2,X3),
    c_0_2426,
    [final] ).

cnf(c_0_3191,plain,
    lhs_atom608(X1,X2,X3),
    c_0_2427,
    [final] ).

cnf(c_0_3192,plain,
    lhs_atom597(X1,X2,X3),
    c_0_2428,
    [final] ).

cnf(c_0_3193,plain,
    lhs_atom596(X1,X2,X3),
    c_0_2429,
    [final] ).

cnf(c_0_3194,plain,
    lhs_atom592(X1,X2,X3),
    c_0_2430,
    [final] ).

cnf(c_0_3195,plain,
    lhs_atom591(X1,X2,X3),
    c_0_2431,
    [final] ).

cnf(c_0_3196,plain,
    lhs_atom582(X1,X2,X3),
    c_0_2432,
    [final] ).

cnf(c_0_3197,plain,
    lhs_atom580(X1,X2,X3),
    c_0_2433,
    [final] ).

cnf(c_0_3198,plain,
    lhs_atom577(X1,X2,X3),
    c_0_2434,
    [final] ).

cnf(c_0_3199,plain,
    lhs_atom573(X1,X2,X3),
    c_0_2435,
    [final] ).

cnf(c_0_3200,plain,
    lhs_atom571(X1,X2,X3),
    c_0_2436,
    [final] ).

cnf(c_0_3201,plain,
    lhs_atom570(X1,X2,X3),
    c_0_2437,
    [final] ).

cnf(c_0_3202,plain,
    lhs_atom555(X1,X2,X3),
    c_0_2438,
    [final] ).

cnf(c_0_3203,plain,
    lhs_atom549(X1,X2,X3),
    c_0_2439,
    [final] ).

cnf(c_0_3204,plain,
    lhs_atom544(X1,X2,X3),
    c_0_2440,
    [final] ).

cnf(c_0_3205,plain,
    lhs_atom543(X1,X2,X3),
    c_0_2441,
    [final] ).

cnf(c_0_3206,plain,
    lhs_atom542(X1,X2,X3),
    c_0_2442,
    [final] ).

cnf(c_0_3207,plain,
    lhs_atom540(X1,X2,X3),
    c_0_2443,
    [final] ).

cnf(c_0_3208,plain,
    lhs_atom536(X1,X2,X3),
    c_0_2444,
    [final] ).

cnf(c_0_3209,plain,
    lhs_atom534(X1,X2,X3),
    c_0_2445,
    [final] ).

cnf(c_0_3210,plain,
    lhs_atom524(X1,X2,X3),
    c_0_2446,
    [final] ).

cnf(c_0_3211,plain,
    lhs_atom523(X1,X2,X3),
    c_0_2447,
    [final] ).

cnf(c_0_3212,plain,
    lhs_atom520(X1,X2,X3),
    c_0_2448,
    [final] ).

cnf(c_0_3213,plain,
    lhs_atom519(X1,X2,X3),
    c_0_2449,
    [final] ).

cnf(c_0_3214,plain,
    lhs_atom496(X1,X2,X3),
    c_0_2450,
    [final] ).

cnf(c_0_3215,plain,
    lhs_atom467(X1,X2,X3),
    c_0_2451,
    [final] ).

cnf(c_0_3216,plain,
    lhs_atom459(X1,X2,X3),
    c_0_2452,
    [final] ).

cnf(c_0_3217,plain,
    lhs_atom442(X1,X2,X3),
    c_0_2453,
    [final] ).

cnf(c_0_3218,plain,
    lhs_atom440(X1,X2,X3),
    c_0_2454,
    [final] ).

cnf(c_0_3219,plain,
    lhs_atom439(X1,X2,X3),
    c_0_2455,
    [final] ).

cnf(c_0_3220,plain,
    lhs_atom437(X1,X2,X3),
    c_0_2456,
    [final] ).

cnf(c_0_3221,plain,
    lhs_atom429(X1,X2,X3),
    c_0_2457,
    [final] ).

cnf(c_0_3222,plain,
    lhs_atom425(X1,X2,X3),
    c_0_2458,
    [final] ).

cnf(c_0_3223,plain,
    lhs_atom420(X1,X2,X3),
    c_0_2459,
    [final] ).

cnf(c_0_3224,plain,
    lhs_atom419(X1,X2,X3),
    c_0_2460,
    [final] ).

cnf(c_0_3225,plain,
    lhs_atom417(X1,X2,X3),
    c_0_2461,
    [final] ).

cnf(c_0_3226,plain,
    lhs_atom413(X1,X2,X3),
    c_0_2462,
    [final] ).

cnf(c_0_3227,plain,
    lhs_atom412(X1,X2,X3),
    c_0_2463,
    [final] ).

cnf(c_0_3228,plain,
    lhs_atom411(X1,X2,X3),
    c_0_2464,
    [final] ).

cnf(c_0_3229,plain,
    lhs_atom410(X1,X2,X3),
    c_0_2465,
    [final] ).

cnf(c_0_3230,plain,
    lhs_atom409(X1,X2,X3),
    c_0_2466,
    [final] ).

cnf(c_0_3231,plain,
    lhs_atom407(X1,X2,X3),
    c_0_2467,
    [final] ).

cnf(c_0_3232,plain,
    lhs_atom404(X1,X2,X3),
    c_0_2468,
    [final] ).

cnf(c_0_3233,plain,
    lhs_atom401(X1,X2,X3),
    c_0_2469,
    [final] ).

cnf(c_0_3234,plain,
    lhs_atom396(X1,X2,X3),
    c_0_2470,
    [final] ).

cnf(c_0_3235,plain,
    lhs_atom395(X1,X2,X3),
    c_0_2471,
    [final] ).

cnf(c_0_3236,plain,
    lhs_atom346(X1,X2,X3),
    c_0_2472,
    [final] ).

cnf(c_0_3237,plain,
    lhs_atom343(X1,X2,X3),
    c_0_2473,
    [final] ).

cnf(c_0_3238,plain,
    lhs_atom340(X1,X2,X3),
    c_0_2474,
    [final] ).

cnf(c_0_3239,plain,
    lhs_atom338(X1,X2,X3),
    c_0_2475,
    [final] ).

cnf(c_0_3240,plain,
    lhs_atom337(X1,X2,X3),
    c_0_2476,
    [final] ).

cnf(c_0_3241,plain,
    lhs_atom336(X1,X2,X3),
    c_0_2477,
    [final] ).

cnf(c_0_3242,plain,
    lhs_atom335(X1,X2,X3),
    c_0_2478,
    [final] ).

cnf(c_0_3243,plain,
    lhs_atom329(X1,X2,X3),
    c_0_2479,
    [final] ).

cnf(c_0_3244,plain,
    lhs_atom328(X1,X2,X3),
    c_0_2480,
    [final] ).

cnf(c_0_3245,plain,
    lhs_atom325(X1,X2,X3),
    c_0_2481,
    [final] ).

cnf(c_0_3246,plain,
    lhs_atom322(X1,X2,X3),
    c_0_2482,
    [final] ).

cnf(c_0_3247,plain,
    lhs_atom320(X1,X2,X3),
    c_0_2483,
    [final] ).

cnf(c_0_3248,plain,
    lhs_atom318(X1,X2,X3),
    c_0_2484,
    [final] ).

cnf(c_0_3249,plain,
    lhs_atom313(X1,X2,X3),
    c_0_2485,
    [final] ).

cnf(c_0_3250,plain,
    lhs_atom312(X1,X2,X3),
    c_0_2486,
    [final] ).

cnf(c_0_3251,plain,
    lhs_atom311(X1,X2,X3),
    c_0_2487,
    [final] ).

cnf(c_0_3252,plain,
    lhs_atom302(X1,X2,X3),
    c_0_2488,
    [final] ).

cnf(c_0_3253,plain,
    lhs_atom301(X1,X2,X3),
    c_0_2489,
    [final] ).

cnf(c_0_3254,plain,
    lhs_atom298(X1,X2,X3),
    c_0_2490,
    [final] ).

cnf(c_0_3255,plain,
    lhs_atom295(X1,X2,X3),
    c_0_2491,
    [final] ).

cnf(c_0_3256,plain,
    lhs_atom291(X1,X2,X3),
    c_0_2492,
    [final] ).

cnf(c_0_3257,plain,
    lhs_atom288(X1,X2,X3),
    c_0_2493,
    [final] ).

cnf(c_0_3258,plain,
    lhs_atom226(X1,X2,X3),
    c_0_2494,
    [final] ).

cnf(c_0_3259,plain,
    lhs_atom225(X1,X2,X3),
    c_0_2495,
    [final] ).

cnf(c_0_3260,plain,
    lhs_atom222(X1,X2,X3),
    c_0_2496,
    [final] ).

cnf(c_0_3261,plain,
    lhs_atom221(X1,X2,X3),
    c_0_2497,
    [final] ).

cnf(c_0_3262,plain,
    lhs_atom215(X1,X2,X3),
    c_0_2498,
    [final] ).

cnf(c_0_3263,plain,
    lhs_atom213(X1,X2,X3),
    c_0_2499,
    [final] ).

cnf(c_0_3264,plain,
    lhs_atom200(X1,X2,X3),
    c_0_2500,
    [final] ).

cnf(c_0_3265,plain,
    lhs_atom199(X1,X2,X3),
    c_0_2501,
    [final] ).

cnf(c_0_3266,plain,
    lhs_atom192(X1,X2,X3),
    c_0_2502,
    [final] ).

cnf(c_0_3267,plain,
    lhs_atom175(X1,X2,X3),
    c_0_2503,
    [final] ).

cnf(c_0_3268,plain,
    lhs_atom174(X1,X2,X3),
    c_0_2504,
    [final] ).

cnf(c_0_3269,plain,
    lhs_atom36(X1,X2,X3),
    c_0_2505,
    [final] ).

cnf(c_0_3270,plain,
    lhs_atom753(X1,X2),
    c_0_2506,
    [final] ).

cnf(c_0_3271,plain,
    lhs_atom752(X1,X2),
    c_0_2507,
    [final] ).

cnf(c_0_3272,plain,
    lhs_atom742(X1,X2),
    c_0_2508,
    [final] ).

cnf(c_0_3273,plain,
    lhs_atom741(X1,X2),
    c_0_2509,
    [final] ).

cnf(c_0_3274,plain,
    lhs_atom740(X1,X2),
    c_0_2510,
    [final] ).

cnf(c_0_3275,plain,
    lhs_atom739(X1,X2),
    c_0_2511,
    [final] ).

cnf(c_0_3276,plain,
    lhs_atom726(X1,X2),
    c_0_2512,
    [final] ).

cnf(c_0_3277,plain,
    lhs_atom725(X1,X2),
    c_0_2513,
    [final] ).

cnf(c_0_3278,plain,
    lhs_atom723(X1,X2),
    c_0_2514,
    [final] ).

cnf(c_0_3279,plain,
    lhs_atom722(X1,X2),
    c_0_2515,
    [final] ).

cnf(c_0_3280,plain,
    lhs_atom720(X1,X2),
    c_0_2516,
    [final] ).

cnf(c_0_3281,plain,
    lhs_atom719(X1,X2),
    c_0_2517,
    [final] ).

cnf(c_0_3282,plain,
    lhs_atom716(X1,X2),
    c_0_2518,
    [final] ).

cnf(c_0_3283,plain,
    lhs_atom712(X1,X2),
    c_0_2519,
    [final] ).

cnf(c_0_3284,plain,
    lhs_atom709(X1,X2),
    c_0_2520,
    [final] ).

cnf(c_0_3285,plain,
    lhs_atom708(X1,X2),
    c_0_2521,
    [final] ).

cnf(c_0_3286,plain,
    lhs_atom706(X1,X2),
    c_0_2522,
    [final] ).

cnf(c_0_3287,plain,
    lhs_atom704(X1,X2),
    c_0_2523,
    [final] ).

cnf(c_0_3288,plain,
    lhs_atom701(X1,X2),
    c_0_2524,
    [final] ).

cnf(c_0_3289,plain,
    lhs_atom700(X1,X2),
    c_0_2525,
    [final] ).

cnf(c_0_3290,plain,
    lhs_atom699(X1,X2),
    c_0_2526,
    [final] ).

cnf(c_0_3291,plain,
    lhs_atom686(X1,X2),
    c_0_2527,
    [final] ).

cnf(c_0_3292,plain,
    lhs_atom685(X1,X2),
    c_0_2528,
    [final] ).

cnf(c_0_3293,plain,
    lhs_atom678(X1,X2),
    c_0_2529,
    [final] ).

cnf(c_0_3294,plain,
    lhs_atom677(X1,X2),
    c_0_2530,
    [final] ).

cnf(c_0_3295,plain,
    lhs_atom664(X1,X2),
    c_0_2531,
    [final] ).

cnf(c_0_3296,plain,
    lhs_atom663(X1,X2),
    c_0_2532,
    [final] ).

cnf(c_0_3297,plain,
    lhs_atom662(X1,X2),
    c_0_2533,
    [final] ).

cnf(c_0_3298,plain,
    lhs_atom656(X1,X2),
    c_0_2534,
    [final] ).

cnf(c_0_3299,plain,
    lhs_atom655(X1,X2),
    c_0_2535,
    [final] ).

cnf(c_0_3300,plain,
    lhs_atom653(X1,X2),
    c_0_2536,
    [final] ).

cnf(c_0_3301,plain,
    lhs_atom652(X1,X2),
    c_0_2537,
    [final] ).

cnf(c_0_3302,plain,
    lhs_atom650(X1,X2),
    c_0_2538,
    [final] ).

cnf(c_0_3303,plain,
    lhs_atom648(X1,X2),
    c_0_2539,
    [final] ).

cnf(c_0_3304,plain,
    lhs_atom637(X1,X2),
    c_0_2540,
    [final] ).

cnf(c_0_3305,plain,
    lhs_atom636(X1,X2),
    c_0_2541,
    [final] ).

cnf(c_0_3306,plain,
    lhs_atom634(X1,X2),
    c_0_2542,
    [final] ).

cnf(c_0_3307,plain,
    lhs_atom633(X1,X2),
    c_0_2543,
    [final] ).

cnf(c_0_3308,plain,
    lhs_atom632(X1,X2),
    c_0_2544,
    [final] ).

cnf(c_0_3309,plain,
    lhs_atom631(X1,X2),
    c_0_2545,
    [final] ).

cnf(c_0_3310,plain,
    lhs_atom629(X1,X2),
    c_0_2546,
    [final] ).

cnf(c_0_3311,plain,
    lhs_atom628(X1,X2),
    c_0_2547,
    [final] ).

cnf(c_0_3312,plain,
    lhs_atom627(X1,X2),
    c_0_2548,
    [final] ).

cnf(c_0_3313,plain,
    lhs_atom626(X1,X2),
    c_0_2549,
    [final] ).

cnf(c_0_3314,plain,
    lhs_atom622(X1,X2),
    c_0_2550,
    [final] ).

cnf(c_0_3315,plain,
    lhs_atom621(X1,X2),
    c_0_2551,
    [final] ).

cnf(c_0_3316,plain,
    lhs_atom614(X1,X2),
    c_0_2552,
    [final] ).

cnf(c_0_3317,plain,
    lhs_atom613(X1,X2),
    c_0_2553,
    [final] ).

cnf(c_0_3318,plain,
    lhs_atom612(X1,X2),
    c_0_2554,
    [final] ).

cnf(c_0_3319,plain,
    lhs_atom611(X1,X2),
    c_0_2555,
    [final] ).

cnf(c_0_3320,plain,
    lhs_atom606(X1,X2),
    c_0_2556,
    [final] ).

cnf(c_0_3321,plain,
    lhs_atom603(X1,X2),
    c_0_2557,
    [final] ).

cnf(c_0_3322,plain,
    lhs_atom602(X1,X2),
    c_0_2558,
    [final] ).

cnf(c_0_3323,plain,
    lhs_atom600(X1,X2),
    c_0_2559,
    [final] ).

cnf(c_0_3324,plain,
    lhs_atom599(X1,X2),
    c_0_2560,
    [final] ).

cnf(c_0_3325,plain,
    lhs_atom598(X1,X2),
    c_0_2561,
    [final] ).

cnf(c_0_3326,plain,
    lhs_atom588(X1,X2),
    c_0_2562,
    [final] ).

cnf(c_0_3327,plain,
    lhs_atom587(X1,X2),
    c_0_2563,
    [final] ).

cnf(c_0_3328,plain,
    lhs_atom586(X1,X2),
    c_0_2564,
    [final] ).

cnf(c_0_3329,plain,
    lhs_atom585(X1,X2),
    c_0_2565,
    [final] ).

cnf(c_0_3330,plain,
    lhs_atom584(X1,X2),
    c_0_2566,
    [final] ).

cnf(c_0_3331,plain,
    lhs_atom581(X1,X2),
    c_0_2567,
    [final] ).

cnf(c_0_3332,plain,
    lhs_atom579(X1,X2),
    c_0_2568,
    [final] ).

cnf(c_0_3333,plain,
    lhs_atom578(X1,X2),
    c_0_2569,
    [final] ).

cnf(c_0_3334,plain,
    lhs_atom575(X1,X2),
    c_0_2570,
    [final] ).

cnf(c_0_3335,plain,
    lhs_atom574(X1,X2),
    c_0_2571,
    [final] ).

cnf(c_0_3336,plain,
    lhs_atom567(X1,X2),
    c_0_2572,
    [final] ).

cnf(c_0_3337,plain,
    lhs_atom566(X1,X2),
    c_0_2573,
    [final] ).

cnf(c_0_3338,plain,
    lhs_atom565(X1,X2),
    c_0_2574,
    [final] ).

cnf(c_0_3339,plain,
    lhs_atom564(X1,X2),
    c_0_2575,
    [final] ).

cnf(c_0_3340,plain,
    lhs_atom562(X1,X2),
    c_0_2576,
    [final] ).

cnf(c_0_3341,plain,
    lhs_atom561(X1,X2),
    c_0_2577,
    [final] ).

cnf(c_0_3342,plain,
    lhs_atom560(X1,X2),
    c_0_2578,
    [final] ).

cnf(c_0_3343,plain,
    lhs_atom559(X1,X2),
    c_0_2579,
    [final] ).

cnf(c_0_3344,plain,
    lhs_atom554(X1,X2),
    c_0_2580,
    [final] ).

cnf(c_0_3345,plain,
    lhs_atom553(X1,X2),
    c_0_2581,
    [final] ).

cnf(c_0_3346,plain,
    lhs_atom552(X1,X2),
    c_0_2582,
    [final] ).

cnf(c_0_3347,plain,
    lhs_atom550(X1,X2),
    c_0_2583,
    [final] ).

cnf(c_0_3348,plain,
    lhs_atom547(X1,X2),
    c_0_2584,
    [final] ).

cnf(c_0_3349,plain,
    lhs_atom546(X1,X2),
    c_0_2585,
    [final] ).

cnf(c_0_3350,plain,
    lhs_atom541(X1,X2),
    c_0_2586,
    [final] ).

cnf(c_0_3351,plain,
    lhs_atom539(X1,X2),
    c_0_2587,
    [final] ).

cnf(c_0_3352,plain,
    lhs_atom538(X1,X2),
    c_0_2588,
    [final] ).

cnf(c_0_3353,plain,
    lhs_atom532(X1,X2),
    c_0_2589,
    [final] ).

cnf(c_0_3354,plain,
    lhs_atom508(X1,X2),
    c_0_2590,
    [final] ).

cnf(c_0_3355,plain,
    lhs_atom507(X1,X2),
    c_0_2591,
    [final] ).

cnf(c_0_3356,plain,
    lhs_atom498(X1,X2),
    c_0_2592,
    [final] ).

cnf(c_0_3357,plain,
    lhs_atom497(X1,X2),
    c_0_2593,
    [final] ).

cnf(c_0_3358,plain,
    lhs_atom492(X1,X2),
    c_0_2594,
    [final] ).

cnf(c_0_3359,plain,
    lhs_atom490(X1,X2),
    c_0_2595,
    [final] ).

cnf(c_0_3360,plain,
    lhs_atom485(X1,X2),
    c_0_2596,
    [final] ).

cnf(c_0_3361,plain,
    lhs_atom484(X1,X2),
    c_0_2597,
    [final] ).

cnf(c_0_3362,plain,
    lhs_atom480(X1,X2),
    c_0_2598,
    [final] ).

cnf(c_0_3363,plain,
    lhs_atom478(X1,X2),
    c_0_2599,
    [final] ).

cnf(c_0_3364,plain,
    lhs_atom475(X1,X2),
    c_0_2600,
    [final] ).

cnf(c_0_3365,plain,
    lhs_atom468(X1,X2),
    c_0_2601,
    [final] ).

cnf(c_0_3366,plain,
    lhs_atom466(X1,X2),
    c_0_2602,
    [final] ).

cnf(c_0_3367,plain,
    lhs_atom463(X1,X2),
    c_0_2603,
    [final] ).

cnf(c_0_3368,plain,
    lhs_atom457(X1,X2),
    c_0_2604,
    [final] ).

cnf(c_0_3369,plain,
    lhs_atom455(X1,X2),
    c_0_2605,
    [final] ).

cnf(c_0_3370,plain,
    lhs_atom450(X1,X2),
    c_0_2606,
    [final] ).

cnf(c_0_3371,plain,
    lhs_atom449(X1,X2),
    c_0_2607,
    [final] ).

cnf(c_0_3372,plain,
    lhs_atom444(X1,X2),
    c_0_2608,
    [final] ).

cnf(c_0_3373,plain,
    lhs_atom433(X1,X2),
    c_0_2609,
    [final] ).

cnf(c_0_3374,plain,
    lhs_atom432(X1,X2),
    c_0_2610,
    [final] ).

cnf(c_0_3375,plain,
    lhs_atom428(X1,X2),
    c_0_2611,
    [final] ).

cnf(c_0_3376,plain,
    lhs_atom427(X1,X2),
    c_0_2612,
    [final] ).

cnf(c_0_3377,plain,
    lhs_atom426(X1,X2),
    c_0_2613,
    [final] ).

cnf(c_0_3378,plain,
    lhs_atom424(X1,X2),
    c_0_2614,
    [final] ).

cnf(c_0_3379,plain,
    lhs_atom423(X1,X2),
    c_0_2615,
    [final] ).

cnf(c_0_3380,plain,
    lhs_atom422(X1,X2),
    c_0_2616,
    [final] ).

cnf(c_0_3381,plain,
    lhs_atom294(X1,X2),
    c_0_2617,
    [final] ).

cnf(c_0_3382,plain,
    lhs_atom293(X1,X2),
    c_0_2618,
    [final] ).

cnf(c_0_3383,plain,
    lhs_atom418(X1,X2),
    c_0_2619,
    [final] ).

cnf(c_0_3384,plain,
    lhs_atom415(X1,X2),
    c_0_2620,
    [final] ).

cnf(c_0_3385,plain,
    lhs_atom414(X1,X2),
    c_0_2621,
    [final] ).

cnf(c_0_3386,plain,
    lhs_atom408(X1,X2),
    c_0_2622,
    [final] ).

cnf(c_0_3387,plain,
    lhs_atom406(X1,X2),
    c_0_2623,
    [final] ).

cnf(c_0_3388,plain,
    lhs_atom403(X1,X2),
    c_0_2624,
    [final] ).

cnf(c_0_3389,plain,
    lhs_atom342(X1,X2),
    c_0_2625,
    [final] ).

cnf(c_0_3390,plain,
    lhs_atom339(X1,X2),
    c_0_2626,
    [final] ).

cnf(c_0_3391,plain,
    lhs_atom333(X1,X2),
    c_0_2627,
    [final] ).

cnf(c_0_3392,plain,
    lhs_atom331(X1,X2),
    c_0_2628,
    [final] ).

cnf(c_0_3393,plain,
    lhs_atom330(X1,X2),
    c_0_2629,
    [final] ).

cnf(c_0_3394,plain,
    lhs_atom327(X1,X2),
    c_0_2630,
    [final] ).

cnf(c_0_3395,plain,
    lhs_atom326(X1,X2),
    c_0_2631,
    [final] ).

cnf(c_0_3396,plain,
    lhs_atom321(X1,X2),
    c_0_2632,
    [final] ).

cnf(c_0_3397,plain,
    lhs_atom317(X1,X2),
    c_0_2633,
    [final] ).

cnf(c_0_3398,plain,
    lhs_atom316(X1,X2),
    c_0_2634,
    [final] ).

cnf(c_0_3399,plain,
    lhs_atom314(X1,X2),
    c_0_2635,
    [final] ).

cnf(c_0_3400,plain,
    lhs_atom306(X1,X2),
    c_0_2636,
    [final] ).

cnf(c_0_3401,plain,
    lhs_atom305(X1,X2),
    c_0_2637,
    [final] ).

cnf(c_0_3402,plain,
    lhs_atom304(X1,X2),
    c_0_2638,
    [final] ).

cnf(c_0_3403,plain,
    lhs_atom299(X1,X2),
    c_0_2639,
    [final] ).

cnf(c_0_3404,plain,
    lhs_atom297(X1,X2),
    c_0_2640,
    [final] ).

cnf(c_0_3405,plain,
    lhs_atom294(X1,X2),
    c_0_2641,
    [final] ).

cnf(c_0_3406,plain,
    lhs_atom293(X1,X2),
    c_0_2642,
    [final] ).

cnf(c_0_3407,plain,
    lhs_atom287(X1,X2),
    c_0_2643,
    [final] ).

cnf(c_0_3408,plain,
    lhs_atom286(X1,X2),
    c_0_2644,
    [final] ).

cnf(c_0_3409,plain,
    lhs_atom285(X1,X2),
    c_0_2645,
    [final] ).

cnf(c_0_3410,plain,
    lhs_atom283(X1,X2),
    c_0_2646,
    [final] ).

cnf(c_0_3411,plain,
    lhs_atom282(X1,X2),
    c_0_2647,
    [final] ).

cnf(c_0_3412,plain,
    lhs_atom277(X1,X2),
    c_0_2648,
    [final] ).

cnf(c_0_3413,plain,
    lhs_atom274(X1,X2),
    c_0_2649,
    [final] ).

cnf(c_0_3414,plain,
    lhs_atom272(X1,X2),
    c_0_2650,
    [final] ).

cnf(c_0_3415,plain,
    lhs_atom269(X1,X2),
    c_0_2651,
    [final] ).

cnf(c_0_3416,plain,
    lhs_atom266(X1,X2),
    c_0_2652,
    [final] ).

cnf(c_0_3417,plain,
    lhs_atom264(X1,X2),
    c_0_2653,
    [final] ).

cnf(c_0_3418,plain,
    lhs_atom263(X1,X2),
    c_0_2654,
    [final] ).

cnf(c_0_3419,plain,
    lhs_atom258(X1,X2),
    c_0_2655,
    [final] ).

cnf(c_0_3420,plain,
    lhs_atom252(X1,X2),
    c_0_2656,
    [final] ).

cnf(c_0_3421,plain,
    lhs_atom243(X1,X2),
    c_0_2657,
    [final] ).

cnf(c_0_3422,plain,
    lhs_atom239(X1,X2),
    c_0_2658,
    [final] ).

cnf(c_0_3423,plain,
    lhs_atom238(X1,X2),
    c_0_2659,
    [final] ).

cnf(c_0_3424,plain,
    lhs_atom237(X1,X2),
    c_0_2660,
    [final] ).

cnf(c_0_3425,plain,
    lhs_atom236(X1,X2),
    c_0_2661,
    [final] ).

cnf(c_0_3426,plain,
    lhs_atom231(X1,X2),
    c_0_2662,
    [final] ).

cnf(c_0_3427,plain,
    lhs_atom220(X1,X2),
    c_0_2663,
    [final] ).

cnf(c_0_3428,plain,
    lhs_atom220(X1,X2),
    c_0_2664,
    [final] ).

cnf(c_0_3429,plain,
    lhs_atom219(X1,X2),
    c_0_2665,
    [final] ).

cnf(c_0_3430,plain,
    lhs_atom218(X1,X2),
    c_0_2666,
    [final] ).

cnf(c_0_3431,plain,
    lhs_atom216(X1,X2),
    c_0_2667,
    [final] ).

cnf(c_0_3432,plain,
    lhs_atom214(X1,X2),
    c_0_2668,
    [final] ).

cnf(c_0_3433,plain,
    lhs_atom212(X1,X2),
    c_0_2669,
    [final] ).

cnf(c_0_3434,plain,
    lhs_atom211(X1,X2),
    c_0_2670,
    [final] ).

cnf(c_0_3435,plain,
    lhs_atom205(X1,X2),
    c_0_2671,
    [final] ).

cnf(c_0_3436,plain,
    lhs_atom178(X1,X2),
    c_0_2672,
    [final] ).

cnf(c_0_3437,plain,
    lhs_atom177(X1,X2),
    c_0_2673,
    [final] ).

cnf(c_0_3438,plain,
    lhs_atom176(X1,X2),
    c_0_2674,
    [final] ).

cnf(c_0_3439,plain,
    lhs_atom172(X1,X2),
    c_0_2675,
    [final] ).

cnf(c_0_3440,plain,
    lhs_atom170(X1,X2),
    c_0_2676,
    [final] ).

cnf(c_0_3441,plain,
    lhs_atom169(X1,X2),
    c_0_2677,
    [final] ).

cnf(c_0_3442,plain,
    lhs_atom167(X1,X2),
    c_0_2678,
    [final] ).

cnf(c_0_3443,plain,
    lhs_atom166(X1,X2),
    c_0_2679,
    [final] ).

cnf(c_0_3444,plain,
    lhs_atom162(X1,X2),
    c_0_2680,
    [final] ).

cnf(c_0_3445,plain,
    lhs_atom107(X1,X2),
    c_0_2681,
    [final] ).

cnf(c_0_3446,plain,
    lhs_atom35(X1,X2),
    c_0_2682,
    [final] ).

cnf(c_0_3447,plain,
    lhs_atom34(X1,X2),
    c_0_2683,
    [final] ).

cnf(c_0_3448,plain,
    lhs_atom33(X1,X2),
    c_0_2684,
    [final] ).

cnf(c_0_3449,plain,
    lhs_atom32(X1,X2),
    c_0_2685,
    [final] ).

cnf(c_0_3450,plain,
    lhs_atom30(X1,X2),
    c_0_2686,
    [final] ).

cnf(c_0_3451,plain,
    lhs_atom29(X1,X2),
    c_0_2687,
    [final] ).

cnf(c_0_3452,plain,
    lhs_atom28(X1,X2),
    c_0_2688,
    [final] ).

cnf(c_0_3453,plain,
    lhs_atom27(X1,X2),
    c_0_2689,
    [final] ).

cnf(c_0_3454,plain,
    lhs_atom25(X1,X2),
    c_0_2690,
    [final] ).

cnf(c_0_3455,plain,
    lhs_atom24(X1,X2),
    c_0_2691,
    [final] ).

cnf(c_0_3456,plain,
    lhs_atom23(X1,X2),
    c_0_2692,
    [final] ).

cnf(c_0_3457,plain,
    lhs_atom22(X1,X2),
    c_0_2693,
    [final] ).

cnf(c_0_3458,plain,
    lhs_atom17(X1,X2),
    c_0_2694,
    [final] ).

cnf(c_0_3459,plain,
    lhs_atom16(X1,X2),
    c_0_2695,
    [final] ).

cnf(c_0_3460,plain,
    lhs_atom15(X1,X2),
    c_0_2696,
    [final] ).

cnf(c_0_3461,plain,
    lhs_atom14(X1,X2),
    c_0_2697,
    [final] ).

cnf(c_0_3462,plain,
    lhs_atom13(X1,X2),
    c_0_2698,
    [final] ).

cnf(c_0_3463,plain,
    lhs_atom12(X1,X2),
    c_0_2699,
    [final] ).

cnf(c_0_3464,plain,
    lhs_atom9(X1,X2),
    c_0_2700,
    [final] ).

cnf(c_0_3465,plain,
    lhs_atom8(X1,X2),
    c_0_2701,
    [final] ).

cnf(c_0_3466,plain,
    lhs_atom7(X1,X2),
    c_0_2702,
    [final] ).

cnf(c_0_3467,plain,
    lhs_atom6(X1,X2),
    c_0_2703,
    [final] ).

cnf(c_0_3468,plain,
    lhs_atom4(X1,X2),
    c_0_2704,
    [final] ).

cnf(c_0_3469,plain,
    lhs_atom3(X1,X2),
    c_0_2705,
    [final] ).

cnf(c_0_3470,plain,
    lhs_atom751(X1),
    c_0_2706,
    [final] ).

cnf(c_0_3471,plain,
    lhs_atom750(X1),
    c_0_2707,
    [final] ).

cnf(c_0_3472,plain,
    lhs_atom738(X1),
    c_0_2708,
    [final] ).

cnf(c_0_3473,plain,
    lhs_atom729(X1),
    c_0_2709,
    [final] ).

cnf(c_0_3474,plain,
    lhs_atom727(X1),
    c_0_2710,
    [final] ).

cnf(c_0_3475,plain,
    lhs_atom724(X1),
    c_0_2711,
    [final] ).

cnf(c_0_3476,plain,
    lhs_atom715(X1),
    c_0_2712,
    [final] ).

cnf(c_0_3477,plain,
    lhs_atom714(X1),
    c_0_2713,
    [final] ).

cnf(c_0_3478,plain,
    lhs_atom711(X1),
    c_0_2714,
    [final] ).

cnf(c_0_3479,plain,
    lhs_atom710(X1),
    c_0_2715,
    [final] ).

cnf(c_0_3480,plain,
    lhs_atom703(X1),
    c_0_2716,
    [final] ).

cnf(c_0_3481,plain,
    lhs_atom679(X1),
    c_0_2717,
    [final] ).

cnf(c_0_3482,plain,
    lhs_atom665(X1),
    c_0_2718,
    [final] ).

cnf(c_0_3483,plain,
    lhs_atom661(X1),
    c_0_2719,
    [final] ).

cnf(c_0_3484,plain,
    lhs_atom660(X1),
    c_0_2720,
    [final] ).

cnf(c_0_3485,plain,
    lhs_atom659(X1),
    c_0_2721,
    [final] ).

cnf(c_0_3486,plain,
    lhs_atom658(X1),
    c_0_2722,
    [final] ).

cnf(c_0_3487,plain,
    lhs_atom657(X1),
    c_0_2723,
    [final] ).

cnf(c_0_3488,plain,
    lhs_atom647(X1),
    c_0_2724,
    [final] ).

cnf(c_0_3489,plain,
    lhs_atom645(X1),
    c_0_2725,
    [final] ).

cnf(c_0_3490,plain,
    lhs_atom643(X1),
    c_0_2726,
    [final] ).

cnf(c_0_3491,plain,
    lhs_atom642(X1),
    c_0_2727,
    [final] ).

cnf(c_0_3492,plain,
    lhs_atom639(X1),
    c_0_2728,
    [final] ).

cnf(c_0_3493,plain,
    lhs_atom638(X1),
    c_0_2729,
    [final] ).

cnf(c_0_3494,plain,
    lhs_atom635(X1),
    c_0_2730,
    [final] ).

cnf(c_0_3495,plain,
    lhs_atom630(X1),
    c_0_2731,
    [final] ).

cnf(c_0_3496,plain,
    lhs_atom623(X1),
    c_0_2732,
    [final] ).

cnf(c_0_3497,plain,
    lhs_atom609(X1),
    c_0_2733,
    [final] ).

cnf(c_0_3498,plain,
    lhs_atom607(X1),
    c_0_2734,
    [final] ).

cnf(c_0_3499,plain,
    lhs_atom601(X1),
    c_0_2735,
    [final] ).

cnf(c_0_3500,plain,
    lhs_atom594(X1),
    c_0_2736,
    [final] ).

cnf(c_0_3501,plain,
    lhs_atom593(X1),
    c_0_2737,
    [final] ).

cnf(c_0_3502,plain,
    lhs_atom590(X1),
    c_0_2738,
    [final] ).

cnf(c_0_3503,plain,
    lhs_atom589(X1),
    c_0_2739,
    [final] ).

cnf(c_0_3504,plain,
    lhs_atom583(X1),
    c_0_2740,
    [final] ).

cnf(c_0_3505,plain,
    lhs_atom576(X1),
    c_0_2741,
    [final] ).

cnf(c_0_3506,plain,
    lhs_atom572(X1),
    c_0_2742,
    [final] ).

cnf(c_0_3507,plain,
    lhs_atom568(X1),
    c_0_2743,
    [final] ).

cnf(c_0_3508,plain,
    lhs_atom563(X1),
    c_0_2744,
    [final] ).

cnf(c_0_3509,plain,
    lhs_atom556(X1),
    c_0_2745,
    [final] ).

cnf(c_0_3510,plain,
    lhs_atom551(X1),
    c_0_2746,
    [final] ).

cnf(c_0_3511,plain,
    lhs_atom548(X1),
    c_0_2747,
    [final] ).

cnf(c_0_3512,plain,
    lhs_atom545(X1),
    c_0_2748,
    [final] ).

cnf(c_0_3513,plain,
    lhs_atom537(X1),
    c_0_2749,
    [final] ).

cnf(c_0_3514,plain,
    lhs_atom531(X1),
    c_0_2750,
    [final] ).

cnf(c_0_3515,plain,
    lhs_atom530(X1),
    c_0_2751,
    [final] ).

cnf(c_0_3516,plain,
    lhs_atom516(X1),
    c_0_2752,
    [final] ).

cnf(c_0_3517,plain,
    lhs_atom515(X1),
    c_0_2753,
    [final] ).

cnf(c_0_3518,plain,
    lhs_atom512(X1),
    c_0_2754,
    [final] ).

cnf(c_0_3519,plain,
    lhs_atom511(X1),
    c_0_2755,
    [final] ).

cnf(c_0_3520,plain,
    lhs_atom510(X1),
    c_0_2756,
    [final] ).

cnf(c_0_3521,plain,
    lhs_atom509(X1),
    c_0_2757,
    [final] ).

cnf(c_0_3522,plain,
    lhs_atom504(X1),
    c_0_2758,
    [final] ).

cnf(c_0_3523,plain,
    lhs_atom503(X1),
    c_0_2759,
    [final] ).

cnf(c_0_3524,plain,
    lhs_atom502(X1),
    c_0_2760,
    [final] ).

cnf(c_0_3525,plain,
    lhs_atom501(X1),
    c_0_2761,
    [final] ).

cnf(c_0_3526,plain,
    lhs_atom500(X1),
    c_0_2762,
    [final] ).

cnf(c_0_3527,plain,
    lhs_atom499(X1),
    c_0_2763,
    [final] ).

cnf(c_0_3528,plain,
    lhs_atom493(X1),
    c_0_2764,
    [final] ).

cnf(c_0_3529,plain,
    lhs_atom491(X1),
    c_0_2765,
    [final] ).

cnf(c_0_3530,plain,
    lhs_atom489(X1),
    c_0_2766,
    [final] ).

cnf(c_0_3531,plain,
    lhs_atom487(X1),
    c_0_2767,
    [final] ).

cnf(c_0_3532,plain,
    lhs_atom479(X1),
    c_0_2768,
    [final] ).

cnf(c_0_3533,plain,
    lhs_atom477(X1),
    c_0_2769,
    [final] ).

cnf(c_0_3534,plain,
    lhs_atom476(X1),
    c_0_2770,
    [final] ).

cnf(c_0_3535,plain,
    lhs_atom474(X1),
    c_0_2771,
    [final] ).

cnf(c_0_3536,plain,
    lhs_atom473(X1),
    c_0_2772,
    [final] ).

cnf(c_0_3537,plain,
    lhs_atom469(X1),
    c_0_2773,
    [final] ).

cnf(c_0_3538,plain,
    lhs_atom465(X1),
    c_0_2774,
    [final] ).

cnf(c_0_3539,plain,
    lhs_atom462(X1),
    c_0_2775,
    [final] ).

cnf(c_0_3540,plain,
    lhs_atom461(X1),
    c_0_2776,
    [final] ).

cnf(c_0_3541,plain,
    lhs_atom460(X1),
    c_0_2777,
    [final] ).

cnf(c_0_3542,plain,
    lhs_atom456(X1),
    c_0_2778,
    [final] ).

cnf(c_0_3543,plain,
    lhs_atom454(X1),
    c_0_2779,
    [final] ).

cnf(c_0_3544,plain,
    lhs_atom453(X1),
    c_0_2780,
    [final] ).

cnf(c_0_3545,plain,
    lhs_atom452(X1),
    c_0_2781,
    [final] ).

cnf(c_0_3546,plain,
    lhs_atom451(X1),
    c_0_2782,
    [final] ).

cnf(c_0_3547,plain,
    lhs_atom448(X1),
    c_0_2783,
    [final] ).

cnf(c_0_3548,plain,
    lhs_atom445(X1),
    c_0_2784,
    [final] ).

cnf(c_0_3549,plain,
    lhs_atom438(X1),
    c_0_2785,
    [final] ).

cnf(c_0_3550,plain,
    lhs_atom436(X1),
    c_0_2786,
    [final] ).

cnf(c_0_3551,plain,
    lhs_atom421(X1),
    c_0_2787,
    [final] ).

cnf(c_0_3552,plain,
    lhs_atom421(X1),
    c_0_2788,
    [final] ).

cnf(c_0_3553,plain,
    lhs_atom416(X1),
    c_0_2789,
    [final] ).

cnf(c_0_3554,plain,
    lhs_atom290(X1),
    c_0_2790,
    [final] ).

cnf(c_0_3555,plain,
    lhs_atom405(X1),
    c_0_2791,
    [final] ).

cnf(c_0_3556,plain,
    lhs_atom405(X1),
    c_0_2792,
    [final] ).

cnf(c_0_3557,plain,
    lhs_atom400(X1),
    c_0_2793,
    [final] ).

cnf(c_0_3558,plain,
    lhs_atom345(X1),
    c_0_2794,
    [final] ).

cnf(c_0_3559,plain,
    lhs_atom344(X1),
    c_0_2795,
    [final] ).

cnf(c_0_3560,plain,
    lhs_atom323(X1),
    c_0_2796,
    [final] ).

cnf(c_0_3561,plain,
    lhs_atom319(X1),
    c_0_2797,
    [final] ).

cnf(c_0_3562,plain,
    lhs_atom303(X1),
    c_0_2798,
    [final] ).

cnf(c_0_3563,plain,
    lhs_atom300(X1),
    c_0_2799,
    [final] ).

cnf(c_0_3564,plain,
    lhs_atom296(X1),
    c_0_2800,
    [final] ).

cnf(c_0_3565,plain,
    lhs_atom289(X1),
    c_0_2801,
    [final] ).

cnf(c_0_3566,plain,
    lhs_atom290(X1),
    c_0_2802,
    [final] ).

cnf(c_0_3567,plain,
    lhs_atom289(X1),
    c_0_2803,
    [final] ).

cnf(c_0_3568,plain,
    lhs_atom284(X1),
    c_0_2804,
    [final] ).

cnf(c_0_3569,plain,
    lhs_atom281(X1),
    c_0_2805,
    [final] ).

cnf(c_0_3570,plain,
    lhs_atom280(X1),
    c_0_2806,
    [final] ).

cnf(c_0_3571,plain,
    lhs_atom279(X1),
    c_0_2807,
    [final] ).

cnf(c_0_3572,plain,
    lhs_atom278(X1),
    c_0_2808,
    [final] ).

cnf(c_0_3573,plain,
    lhs_atom276(X1),
    c_0_2809,
    [final] ).

cnf(c_0_3574,plain,
    lhs_atom273(X1),
    c_0_2810,
    [final] ).

cnf(c_0_3575,plain,
    lhs_atom271(X1),
    c_0_2811,
    [final] ).

cnf(c_0_3576,plain,
    lhs_atom270(X1),
    c_0_2812,
    [final] ).

cnf(c_0_3577,plain,
    lhs_atom268(X1),
    c_0_2813,
    [final] ).

cnf(c_0_3578,plain,
    lhs_atom267(X1),
    c_0_2814,
    [final] ).

cnf(c_0_3579,plain,
    lhs_atom265(X1),
    c_0_2815,
    [final] ).

cnf(c_0_3580,plain,
    lhs_atom262(X1),
    c_0_2816,
    [final] ).

cnf(c_0_3581,plain,
    lhs_atom261(X1),
    c_0_2817,
    [final] ).

cnf(c_0_3582,plain,
    lhs_atom260(X1),
    c_0_2818,
    [final] ).

cnf(c_0_3583,plain,
    lhs_atom259(X1),
    c_0_2819,
    [final] ).

cnf(c_0_3584,plain,
    lhs_atom256(X1),
    c_0_2820,
    [final] ).

cnf(c_0_3585,plain,
    lhs_atom255(X1),
    c_0_2821,
    [final] ).

cnf(c_0_3586,plain,
    lhs_atom253(X1),
    c_0_2822,
    [final] ).

cnf(c_0_3587,plain,
    lhs_atom251(X1),
    c_0_2823,
    [final] ).

cnf(c_0_3588,plain,
    lhs_atom248(X1),
    c_0_2824,
    [final] ).

cnf(c_0_3589,plain,
    lhs_atom245(X1),
    c_0_2825,
    [final] ).

cnf(c_0_3590,plain,
    lhs_atom240(X1),
    c_0_2826,
    [final] ).

cnf(c_0_3591,plain,
    lhs_atom235(X1),
    c_0_2827,
    [final] ).

cnf(c_0_3592,plain,
    lhs_atom234(X1),
    c_0_2828,
    [final] ).

cnf(c_0_3593,plain,
    lhs_atom233(X1),
    c_0_2829,
    [final] ).

cnf(c_0_3594,plain,
    lhs_atom232(X1),
    c_0_2830,
    [final] ).

cnf(c_0_3595,plain,
    lhs_atom230(X1),
    c_0_2831,
    [final] ).

cnf(c_0_3596,plain,
    lhs_atom229(X1),
    c_0_2832,
    [final] ).

cnf(c_0_3597,plain,
    lhs_atom217(X1),
    c_0_2833,
    [final] ).

cnf(c_0_3598,plain,
    lhs_atom210(X1),
    c_0_2834,
    [final] ).

cnf(c_0_3599,plain,
    lhs_atom209(X1),
    c_0_2835,
    [final] ).

cnf(c_0_3600,plain,
    lhs_atom208(X1),
    c_0_2836,
    [final] ).

cnf(c_0_3601,plain,
    lhs_atom204(X1),
    c_0_2837,
    [final] ).

cnf(c_0_3602,plain,
    lhs_atom203(X1),
    c_0_2838,
    [final] ).

cnf(c_0_3603,plain,
    lhs_atom202(X1),
    c_0_2839,
    [final] ).

cnf(c_0_3604,plain,
    lhs_atom201(X1),
    c_0_2840,
    [final] ).

cnf(c_0_3605,plain,
    lhs_atom171(X1),
    c_0_2841,
    [final] ).

cnf(c_0_3606,plain,
    lhs_atom168(X1),
    c_0_2842,
    [final] ).

cnf(c_0_3607,plain,
    lhs_atom165(X1),
    c_0_2843,
    [final] ).

cnf(c_0_3608,plain,
    lhs_atom164(X1),
    c_0_2844,
    [final] ).

cnf(c_0_3609,plain,
    lhs_atom163(X1),
    c_0_2845,
    [final] ).

cnf(c_0_3610,plain,
    lhs_atom161(X1),
    c_0_2846,
    [final] ).

cnf(c_0_3611,plain,
    lhs_atom160(X1),
    c_0_2847,
    [final] ).

cnf(c_0_3612,plain,
    lhs_atom159(X1),
    c_0_2848,
    [final] ).

cnf(c_0_3613,plain,
    lhs_atom158(X1),
    c_0_2849,
    [final] ).

cnf(c_0_3614,plain,
    lhs_atom157(X1),
    c_0_2850,
    [final] ).

cnf(c_0_3615,plain,
    lhs_atom156(X1),
    c_0_2851,
    [final] ).

cnf(c_0_3616,plain,
    lhs_atom37(X1),
    c_0_2852,
    [final] ).

cnf(c_0_3617,plain,
    lhs_atom31(X1),
    c_0_2853,
    [final] ).

cnf(c_0_3618,plain,
    lhs_atom26(X1),
    c_0_2854,
    [final] ).

cnf(c_0_3619,plain,
    lhs_atom21(X1),
    c_0_2855,
    [final] ).

cnf(c_0_3620,plain,
    lhs_atom20(X1),
    c_0_2856,
    [final] ).

cnf(c_0_3621,plain,
    lhs_atom19(X1),
    c_0_2857,
    [final] ).

cnf(c_0_3622,plain,
    lhs_atom18(X1),
    c_0_2858,
    [final] ).

cnf(c_0_3623,plain,
    lhs_atom11(X1),
    c_0_2859,
    [final] ).

cnf(c_0_3624,plain,
    lhs_atom10(X1),
    c_0_2860,
    [final] ).

cnf(c_0_3625,plain,
    lhs_atom5(X1),
    c_0_2861,
    [final] ).

cnf(c_0_3626,plain,
    lhs_atom2(X1),
    c_0_2862,
    [final] ).

cnf(c_0_3627,plain,
    lhs_atom1(X1),
    c_0_2863,
    [final] ).

cnf(c_0_3628,plain,
    lhs_atom737,
    c_0_2864,
    [final] ).

cnf(c_0_3629,plain,
    lhs_atom736,
    c_0_2865,
    [final] ).

cnf(c_0_3630,plain,
    lhs_atom733,
    c_0_2866,
    [final] ).

cnf(c_0_3631,plain,
    lhs_atom732,
    c_0_2867,
    [final] ).

cnf(c_0_3632,plain,
    lhs_atom702,
    c_0_2868,
    [final] ).

cnf(c_0_3633,plain,
    lhs_atom669,
    c_0_2869,
    [final] ).

cnf(c_0_3634,plain,
    lhs_atom668,
    c_0_2870,
    [final] ).

cnf(c_0_3635,plain,
    lhs_atom666,
    c_0_2871,
    [final] ).

cnf(c_0_3636,plain,
    lhs_atom649,
    c_0_2872,
    [final] ).

cnf(c_0_3637,plain,
    lhs_atom646,
    c_0_2873,
    [final] ).

cnf(c_0_3638,plain,
    lhs_atom644,
    c_0_2874,
    [final] ).

cnf(c_0_3639,plain,
    lhs_atom641,
    c_0_2875,
    [final] ).

cnf(c_0_3640,plain,
    lhs_atom640,
    c_0_2876,
    [final] ).

cnf(c_0_3641,plain,
    lhs_atom595,
    c_0_2877,
    [final] ).

cnf(c_0_3642,plain,
    lhs_atom569,
    c_0_2878,
    [final] ).

cnf(c_0_3643,plain,
    lhs_atom558,
    c_0_2879,
    [final] ).

cnf(c_0_3644,plain,
    lhs_atom557,
    c_0_2880,
    [final] ).

cnf(c_0_3645,plain,
    lhs_atom529,
    c_0_2881,
    [final] ).

cnf(c_0_3646,plain,
    lhs_atom528,
    c_0_2882,
    [final] ).

cnf(c_0_3647,plain,
    lhs_atom527,
    c_0_2883,
    [final] ).

cnf(c_0_3648,plain,
    lhs_atom526,
    c_0_2884,
    [final] ).

cnf(c_0_3649,plain,
    lhs_atom525,
    c_0_2885,
    [final] ).

cnf(c_0_3650,plain,
    lhs_atom522,
    c_0_2886,
    [final] ).

cnf(c_0_3651,plain,
    lhs_atom521,
    c_0_2887,
    [final] ).

cnf(c_0_3652,plain,
    lhs_atom518,
    c_0_2888,
    [final] ).

cnf(c_0_3653,plain,
    lhs_atom517,
    c_0_2889,
    [final] ).

cnf(c_0_3654,plain,
    lhs_atom514,
    c_0_2890,
    [final] ).

cnf(c_0_3655,plain,
    lhs_atom513,
    c_0_2891,
    [final] ).

cnf(c_0_3656,plain,
    lhs_atom506,
    c_0_2892,
    [final] ).

cnf(c_0_3657,plain,
    lhs_atom505,
    c_0_2893,
    [final] ).

cnf(c_0_3658,plain,
    lhs_atom495,
    c_0_2894,
    [final] ).

cnf(c_0_3659,plain,
    lhs_atom494,
    c_0_2895,
    [final] ).

cnf(c_0_3660,plain,
    lhs_atom488,
    c_0_2896,
    [final] ).

cnf(c_0_3661,plain,
    lhs_atom486,
    c_0_2897,
    [final] ).

cnf(c_0_3662,plain,
    lhs_atom483,
    c_0_2898,
    [final] ).

cnf(c_0_3663,plain,
    lhs_atom472,
    c_0_2899,
    [final] ).

cnf(c_0_3664,plain,
    lhs_atom471,
    c_0_2900,
    [final] ).

cnf(c_0_3665,plain,
    lhs_atom470,
    c_0_2901,
    [final] ).

cnf(c_0_3666,plain,
    lhs_atom464,
    c_0_2902,
    [final] ).

cnf(c_0_3667,plain,
    lhs_atom458,
    c_0_2903,
    [final] ).

cnf(c_0_3668,plain,
    lhs_atom447,
    c_0_2904,
    [final] ).

cnf(c_0_3669,plain,
    lhs_atom446,
    c_0_2905,
    [final] ).

cnf(c_0_3670,plain,
    lhs_atom394,
    c_0_2906,
    [final] ).

cnf(c_0_3671,plain,
    lhs_atom393,
    c_0_2907,
    [final] ).

cnf(c_0_3672,plain,
    lhs_atom392,
    c_0_2908,
    [final] ).

cnf(c_0_3673,plain,
    lhs_atom391,
    c_0_2909,
    [final] ).

cnf(c_0_3674,plain,
    lhs_atom390,
    c_0_2910,
    [final] ).

cnf(c_0_3675,plain,
    lhs_atom389,
    c_0_2911,
    [final] ).

cnf(c_0_3676,plain,
    lhs_atom388,
    c_0_2912,
    [final] ).

cnf(c_0_3677,plain,
    lhs_atom387,
    c_0_2913,
    [final] ).

cnf(c_0_3678,plain,
    lhs_atom386,
    c_0_2914,
    [final] ).

cnf(c_0_3679,plain,
    lhs_atom385,
    c_0_2915,
    [final] ).

cnf(c_0_3680,plain,
    lhs_atom384,
    c_0_2916,
    [final] ).

cnf(c_0_3681,plain,
    lhs_atom383,
    c_0_2917,
    [final] ).

cnf(c_0_3682,plain,
    lhs_atom382,
    c_0_2918,
    [final] ).

cnf(c_0_3683,plain,
    lhs_atom381,
    c_0_2919,
    [final] ).

cnf(c_0_3684,plain,
    lhs_atom380,
    c_0_2920,
    [final] ).

cnf(c_0_3685,plain,
    lhs_atom379,
    c_0_2921,
    [final] ).

cnf(c_0_3686,plain,
    lhs_atom275,
    c_0_2922,
    [final] ).

cnf(c_0_3687,plain,
    lhs_atom257,
    c_0_2923,
    [final] ).

cnf(c_0_3688,plain,
    lhs_atom254,
    c_0_2924,
    [final] ).

cnf(c_0_3689,plain,
    lhs_atom250,
    c_0_2925,
    [final] ).

cnf(c_0_3690,plain,
    lhs_atom249,
    c_0_2926,
    [final] ).

cnf(c_0_3691,plain,
    lhs_atom247,
    c_0_2927,
    [final] ).

cnf(c_0_3692,plain,
    lhs_atom246,
    c_0_2928,
    [final] ).

cnf(c_0_3693,plain,
    lhs_atom244,
    c_0_2929,
    [final] ).

cnf(c_0_3694,plain,
    lhs_atom242,
    c_0_2930,
    [final] ).

cnf(c_0_3695,plain,
    lhs_atom241,
    c_0_2931,
    [final] ).

cnf(c_0_3696,plain,
    lhs_atom228,
    c_0_2932,
    [final] ).

cnf(c_0_3697,plain,
    lhs_atom227,
    c_0_2933,
    [final] ).

cnf(c_0_3698,plain,
    lhs_atom224,
    c_0_2934,
    [final] ).

cnf(c_0_3699,plain,
    lhs_atom223,
    c_0_2935,
    [final] ).

cnf(c_0_3700,plain,
    lhs_atom207,
    c_0_2936,
    [final] ).

cnf(c_0_3701,plain,
    lhs_atom206,
    c_0_2937,
    [final] ).

cnf(c_0_3702,plain,
    lhs_atom179,
    c_0_2938,
    [final] ).

cnf(c_0_3703,plain,
    lhs_atom155,
    c_0_2939,
    [final] ).

cnf(c_0_3704,plain,
    lhs_atom154,
    c_0_2940,
    [final] ).

cnf(c_0_3705,plain,
    lhs_atom153,
    c_0_2941,
    [final] ).

cnf(c_0_3706,plain,
    lhs_atom152,
    c_0_2942,
    [final] ).

cnf(c_0_3707,plain,
    lhs_atom151,
    c_0_2943,
    [final] ).

cnf(c_0_3708,plain,
    lhs_atom150,
    c_0_2944,
    [final] ).

cnf(c_0_3709,plain,
    lhs_atom149,
    c_0_2945,
    [final] ).

cnf(c_0_3710,plain,
    lhs_atom148,
    c_0_2946,
    [final] ).

cnf(c_0_3711,plain,
    lhs_atom147,
    c_0_2947,
    [final] ).

cnf(c_0_3712,plain,
    lhs_atom146,
    c_0_2948,
    [final] ).

cnf(c_0_3713,plain,
    lhs_atom145,
    c_0_2949,
    [final] ).

cnf(c_0_3714,plain,
    lhs_atom144,
    c_0_2950,
    [final] ).

cnf(c_0_3715,plain,
    lhs_atom143,
    c_0_2951,
    [final] ).

cnf(c_0_3716,plain,
    lhs_atom142,
    c_0_2952,
    [final] ).

cnf(c_0_3717,plain,
    lhs_atom141,
    c_0_2953,
    [final] ).

cnf(c_0_3718,plain,
    lhs_atom140,
    c_0_2954,
    [final] ).

cnf(c_0_3719,plain,
    lhs_atom139,
    c_0_2955,
    [final] ).

cnf(c_0_3720,plain,
    lhs_atom138,
    c_0_2956,
    [final] ).

cnf(c_0_3721,plain,
    lhs_atom137,
    c_0_2957,
    [final] ).

cnf(c_0_3722,plain,
    lhs_atom136,
    c_0_2958,
    [final] ).

cnf(c_0_3723,plain,
    lhs_atom135,
    c_0_2959,
    [final] ).

cnf(c_0_3724,plain,
    lhs_atom134,
    c_0_2960,
    [final] ).

cnf(c_0_3725,plain,
    lhs_atom133,
    c_0_2961,
    [final] ).

cnf(c_0_3726,plain,
    lhs_atom132,
    c_0_2962,
    [final] ).

cnf(c_0_3727,plain,
    lhs_atom131,
    c_0_2963,
    [final] ).

cnf(c_0_3728,plain,
    lhs_atom130,
    c_0_2964,
    [final] ).

cnf(c_0_3729,plain,
    lhs_atom129,
    c_0_2965,
    [final] ).

cnf(c_0_3730,plain,
    lhs_atom128,
    c_0_2966,
    [final] ).

cnf(c_0_3731,plain,
    lhs_atom127,
    c_0_2967,
    [final] ).

cnf(c_0_3732,plain,
    lhs_atom126,
    c_0_2968,
    [final] ).

cnf(c_0_3733,plain,
    lhs_atom125,
    c_0_2969,
    [final] ).

cnf(c_0_3734,plain,
    lhs_atom124,
    c_0_2970,
    [final] ).

cnf(c_0_3735,plain,
    lhs_atom123,
    c_0_2971,
    [final] ).

cnf(c_0_3736,plain,
    lhs_atom122,
    c_0_2972,
    [final] ).

cnf(c_0_3737,plain,
    lhs_atom121,
    c_0_2973,
    [final] ).

cnf(c_0_3738,plain,
    lhs_atom120,
    c_0_2974,
    [final] ).

cnf(c_0_3739,plain,
    lhs_atom119,
    c_0_2975,
    [final] ).

cnf(c_0_3740,plain,
    lhs_atom118,
    c_0_2976,
    [final] ).

cnf(c_0_3741,plain,
    lhs_atom117,
    c_0_2977,
    [final] ).

cnf(c_0_3742,plain,
    lhs_atom116,
    c_0_2978,
    [final] ).

cnf(c_0_3743,plain,
    lhs_atom115,
    c_0_2979,
    [final] ).

cnf(c_0_3744,plain,
    lhs_atom114,
    c_0_2980,
    [final] ).

cnf(c_0_3745,plain,
    lhs_atom113,
    c_0_2981,
    [final] ).

cnf(c_0_3746,plain,
    lhs_atom112,
    c_0_2982,
    [final] ).

cnf(c_0_3747,plain,
    lhs_atom111,
    c_0_2983,
    [final] ).

cnf(c_0_3748,plain,
    lhs_atom110,
    c_0_2984,
    [final] ).

cnf(c_0_3749,plain,
    lhs_atom109,
    c_0_2985,
    [final] ).

cnf(c_0_3750,plain,
    lhs_atom108,
    c_0_2986,
    [final] ).

cnf(c_0_3751,plain,
    lhs_atom106,
    c_0_2987,
    [final] ).

cnf(c_0_3752,plain,
    lhs_atom105,
    c_0_2988,
    [final] ).

cnf(c_0_3753,plain,
    lhs_atom104,
    c_0_2989,
    [final] ).

cnf(c_0_3754,plain,
    lhs_atom103,
    c_0_2990,
    [final] ).

cnf(c_0_3755,plain,
    lhs_atom102,
    c_0_2991,
    [final] ).

cnf(c_0_3756,plain,
    lhs_atom101,
    c_0_2992,
    [final] ).

cnf(c_0_3757,plain,
    lhs_atom100,
    c_0_2993,
    [final] ).

cnf(c_0_3758,plain,
    lhs_atom99,
    c_0_2994,
    [final] ).

cnf(c_0_3759,plain,
    lhs_atom98,
    c_0_2995,
    [final] ).

cnf(c_0_3760,plain,
    lhs_atom97,
    c_0_2996,
    [final] ).

cnf(c_0_3761,plain,
    lhs_atom96,
    c_0_2997,
    [final] ).

cnf(c_0_3762,plain,
    lhs_atom95,
    c_0_2998,
    [final] ).

cnf(c_0_3763,plain,
    lhs_atom94,
    c_0_2999,
    [final] ).

cnf(c_0_3764,plain,
    lhs_atom93,
    c_0_3000,
    [final] ).

cnf(c_0_3765,plain,
    lhs_atom92,
    c_0_3001,
    [final] ).

cnf(c_0_3766,plain,
    lhs_atom91,
    c_0_3002,
    [final] ).

cnf(c_0_3767,plain,
    lhs_atom90,
    c_0_3003,
    [final] ).

cnf(c_0_3768,plain,
    lhs_atom89,
    c_0_3004,
    [final] ).

cnf(c_0_3769,plain,
    lhs_atom88,
    c_0_3005,
    [final] ).

cnf(c_0_3770,plain,
    lhs_atom87,
    c_0_3006,
    [final] ).

cnf(c_0_3771,plain,
    lhs_atom86,
    c_0_3007,
    [final] ).

cnf(c_0_3772,plain,
    lhs_atom85,
    c_0_3008,
    [final] ).

cnf(c_0_3773,plain,
    lhs_atom84,
    c_0_3009,
    [final] ).

cnf(c_0_3774,plain,
    lhs_atom83,
    c_0_3010,
    [final] ).

cnf(c_0_3775,plain,
    lhs_atom82,
    c_0_3011,
    [final] ).

cnf(c_0_3776,plain,
    lhs_atom81,
    c_0_3012,
    [final] ).

cnf(c_0_3777,plain,
    lhs_atom80,
    c_0_3013,
    [final] ).

cnf(c_0_3778,plain,
    lhs_atom79,
    c_0_3014,
    [final] ).

cnf(c_0_3779,plain,
    lhs_atom78,
    c_0_3015,
    [final] ).

cnf(c_0_3780,plain,
    lhs_atom77,
    c_0_3016,
    [final] ).

cnf(c_0_3781,plain,
    lhs_atom76,
    c_0_3017,
    [final] ).

cnf(c_0_3782,plain,
    lhs_atom75,
    c_0_3018,
    [final] ).

cnf(c_0_3783,plain,
    lhs_atom74,
    c_0_3019,
    [final] ).

cnf(c_0_3784,plain,
    lhs_atom73,
    c_0_3020,
    [final] ).

cnf(c_0_3785,plain,
    lhs_atom72,
    c_0_3021,
    [final] ).

cnf(c_0_3786,plain,
    lhs_atom71,
    c_0_3022,
    [final] ).

cnf(c_0_3787,plain,
    lhs_atom70,
    c_0_3023,
    [final] ).

cnf(c_0_3788,plain,
    lhs_atom69,
    c_0_3024,
    [final] ).

cnf(c_0_3789,plain,
    lhs_atom68,
    c_0_3025,
    [final] ).

cnf(c_0_3790,plain,
    lhs_atom67,
    c_0_3026,
    [final] ).

cnf(c_0_3791,plain,
    lhs_atom66,
    c_0_3027,
    [final] ).

cnf(c_0_3792,plain,
    lhs_atom65,
    c_0_3028,
    [final] ).

cnf(c_0_3793,plain,
    lhs_atom64,
    c_0_3029,
    [final] ).

cnf(c_0_3794,plain,
    lhs_atom63,
    c_0_3030,
    [final] ).

cnf(c_0_3795,plain,
    lhs_atom62,
    c_0_3031,
    [final] ).

cnf(c_0_3796,plain,
    lhs_atom61,
    c_0_3032,
    [final] ).

cnf(c_0_3797,plain,
    lhs_atom60,
    c_0_3033,
    [final] ).

cnf(c_0_3798,plain,
    lhs_atom59,
    c_0_3034,
    [final] ).

cnf(c_0_3799,plain,
    lhs_atom58,
    c_0_3035,
    [final] ).

cnf(c_0_3800,plain,
    lhs_atom57,
    c_0_3036,
    [final] ).

cnf(c_0_3801,plain,
    lhs_atom56,
    c_0_3037,
    [final] ).

cnf(c_0_3802,plain,
    lhs_atom55,
    c_0_3038,
    [final] ).

cnf(c_0_3803,plain,
    lhs_atom54,
    c_0_3039,
    [final] ).

cnf(c_0_3804,plain,
    lhs_atom53,
    c_0_3040,
    [final] ).

cnf(c_0_3805,plain,
    lhs_atom52,
    c_0_3041,
    [final] ).

cnf(c_0_3806,plain,
    lhs_atom51,
    c_0_3042,
    [final] ).

cnf(c_0_3807,plain,
    lhs_atom50,
    c_0_3043,
    [final] ).

cnf(c_0_3808,plain,
    lhs_atom49,
    c_0_3044,
    [final] ).

cnf(c_0_3809,plain,
    lhs_atom48,
    c_0_3045,
    [final] ).

cnf(c_0_3810,plain,
    lhs_atom47,
    c_0_3046,
    [final] ).

cnf(c_0_3811,plain,
    lhs_atom46,
    c_0_3047,
    [final] ).

cnf(c_0_3812,plain,
    lhs_atom45,
    c_0_3048,
    [final] ).

cnf(c_0_3813,plain,
    lhs_atom44,
    c_0_3049,
    [final] ).

cnf(c_0_3814,plain,
    lhs_atom43,
    c_0_3050,
    [final] ).

cnf(c_0_3815,plain,
    lhs_atom42,
    c_0_3051,
    [final] ).

cnf(c_0_3816,plain,
    lhs_atom41,
    c_0_3052,
    [final] ).

cnf(c_0_3817,plain,
    lhs_atom40,
    c_0_3053,
    [final] ).

cnf(c_0_3818,plain,
    lhs_atom39,
    c_0_3054,
    [final] ).

cnf(c_0_3819,plain,
    lhs_atom38,
    c_0_3055,
    [final] ).

% End CNF derivation
cnf(c_0_3147_0,axiom,
    ( c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat)
    | c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat) ),
    inference(unfold_definition,[status(thm)],[c_0_3147,def_lhs_atom482]) ).

cnf(c_0_3148_0,axiom,
    ( c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat)
    | c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat) ),
    inference(unfold_definition,[status(thm)],[c_0_3148,def_lhs_atom481]) ).

cnf(c_0_3056_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X6,X5,X4,X3,X2,X1,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble8,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3056,def_lhs_atom378]) ).

cnf(c_0_3057_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X6,X5,X4,X3,X1,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble7,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3057,def_lhs_atom377]) ).

cnf(c_0_3058_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X6,X5,X4,X1,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble6,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3058,def_lhs_atom376]) ).

cnf(c_0_3059_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X6,X5,X1,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble5,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3059,def_lhs_atom375]) ).

cnf(c_0_3060_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X6,X1,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble4,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3060,def_lhs_atom374]) ).

cnf(c_0_3061_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X7,X1,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble3,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3061,def_lhs_atom373]) ).

cnf(c_0_3062_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X8,X1,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble2,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3062,def_lhs_atom372]) ).

cnf(c_0_3063_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X1,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble1,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3063,def_lhs_atom371]) ).

cnf(c_0_3064_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X9,X8,X7,X6,X5,X4,X3,X2,X16,X15,X14,X13,X12,X11,X10,c_List_Onibble_ONibble0,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3064,def_lhs_atom370]) ).

cnf(c_0_3065_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X1,c_List_Onibble_ONibbleF,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3065,def_lhs_atom369]) ).

cnf(c_0_3066_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X1,X10,c_List_Onibble_ONibbleE,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3066,def_lhs_atom368]) ).

cnf(c_0_3067_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X1,X11,X10,c_List_Onibble_ONibbleD,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3067,def_lhs_atom367]) ).

cnf(c_0_3068_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X1,X12,X11,X10,c_List_Onibble_ONibbleC,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3068,def_lhs_atom366]) ).

cnf(c_0_3069_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X1,X13,X12,X11,X10,c_List_Onibble_ONibbleB,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3069,def_lhs_atom365]) ).

cnf(c_0_3070_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X1,X14,X13,X12,X11,X10,c_List_Onibble_ONibbleA,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3070,def_lhs_atom364]) ).

cnf(c_0_3071_0,axiom,
    c_List_Onibble_Onibble__rec(X16,X9,X8,X7,X6,X5,X4,X3,X2,X1,X15,X14,X13,X12,X11,X10,c_List_Onibble_ONibble9,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3071,def_lhs_atom363]) ).

cnf(c_0_3072_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X6,X5,X4,X3,X2,X1,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble8,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3072,def_lhs_atom362]) ).

cnf(c_0_3073_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X6,X5,X4,X3,X1,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble7,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3073,def_lhs_atom361]) ).

cnf(c_0_3074_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X6,X5,X4,X1,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble6,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3074,def_lhs_atom360]) ).

cnf(c_0_3075_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X6,X5,X1,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble5,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3075,def_lhs_atom359]) ).

cnf(c_0_3076_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X6,X1,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble4,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3076,def_lhs_atom358]) ).

cnf(c_0_3077_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X7,X1,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble3,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3077,def_lhs_atom357]) ).

cnf(c_0_3078_0,axiom,
    c_List_Onibble_Onibble__case(X16,X8,X1,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble2,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3078,def_lhs_atom356]) ).

cnf(c_0_3079_0,axiom,
    c_List_Onibble_Onibble__case(X16,X1,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X9,c_List_Onibble_ONibble1,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3079,def_lhs_atom355]) ).

cnf(c_0_3080_0,axiom,
    c_List_Onibble_Onibble__case(X1,X9,X8,X7,X6,X5,X4,X3,X2,X16,X15,X14,X13,X12,X11,X10,c_List_Onibble_ONibble0,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3080,def_lhs_atom354]) ).

cnf(c_0_3081_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X10,X1,c_List_Onibble_ONibbleF,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3081,def_lhs_atom353]) ).

cnf(c_0_3082_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X11,X1,X10,c_List_Onibble_ONibbleE,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3082,def_lhs_atom352]) ).

cnf(c_0_3083_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X12,X1,X11,X10,c_List_Onibble_ONibbleD,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3083,def_lhs_atom351]) ).

cnf(c_0_3084_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X13,X1,X12,X11,X10,c_List_Onibble_ONibbleC,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3084,def_lhs_atom350]) ).

cnf(c_0_3085_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X14,X1,X13,X12,X11,X10,c_List_Onibble_ONibbleB,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3085,def_lhs_atom349]) ).

cnf(c_0_3086_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X15,X1,X14,X13,X12,X11,X10,c_List_Onibble_ONibbleA,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3086,def_lhs_atom348]) ).

cnf(c_0_3087_0,axiom,
    c_List_Onibble_Onibble__case(X16,X9,X8,X7,X6,X5,X4,X3,X2,X1,X15,X14,X13,X12,X11,X10,c_List_Onibble_ONibble9,X17) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3087,def_lhs_atom347]) ).

cnf(c_0_3088_0,axiom,
    c_Yahalom_OKeyWithNonce(X6,X5,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X3,c_Message_Omsg_ONonce(X5))))),X2)),X1,tc_Event_Oevent)),
    inference(unfold_definition,[status(thm)],[c_0_3088,def_lhs_atom757]) ).

cnf(c_0_3089_0,axiom,
    c_List_Ozip(c_List_Oreplicate(X4,X2,X6),c_List_Oreplicate(X3,X1,X5),X6,X5) = c_List_Oreplicate(c_Orderings_Omin(X4,X3,tc_nat),c_Pair(X2,X1,X6,X5),tc_prod(X6,X5)),
    inference(unfold_definition,[status(thm)],[c_0_3089,def_lhs_atom443]) ).

cnf(c_0_3090_0,axiom,
    c_List_Ozip(c_List_Olist_OCons(X4,X3,X6),c_List_Olist_OCons(X2,X1,X5),X6,X5) = c_List_Olist_OCons(c_Pair(X4,X2,X6,X5),c_List_Ozip(X3,X1,X6,X5),tc_prod(X6,X5)),
    inference(unfold_definition,[status(thm)],[c_0_3090,def_lhs_atom441]) ).

cnf(c_0_3091_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_3091,def_lhs_atom673]) ).

cnf(c_0_3092_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_3092,def_lhs_atom672]) ).

cnf(c_0_3093_0,axiom,
    c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OSays(X5,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_3093,def_lhs_atom671]) ).

cnf(c_0_3094_0,axiom,
    c_Event_Oevent_OSays(X5,X4,X2) != c_Event_Oevent_OGets(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_3094,def_lhs_atom670]) ).

cnf(c_0_3095_0,axiom,
    c_List_Olist__update(c_append(X3,c_List_Olist_OCons(X4,X1,X5),X5),c_Nat_Osize(X3,tc_List_Olist(X5)),X2,X5) = c_append(X3,c_List_Olist_OCons(X2,X1,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_3095,def_lhs_atom341]) ).

cnf(c_0_3096_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OScons(X3,X2,X5,X4),X5,X4) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(X1,X3,X5,X4),c_Datatype__Universe_Ontrunc(X1,X2,X5,X4),X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3096,def_lhs_atom198]) ).

cnf(c_0_3097_0,axiom,
    c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_ONumb(X1,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3097,def_lhs_atom191]) ).

cnf(c_0_3098_0,axiom,
    c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_OLeaf(X1,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3098,def_lhs_atom190]) ).

cnf(c_0_3099_0,axiom,
    c_Datatype__Universe_OScons(X3,X2,X5,X4) != c_Datatype__Universe_OAtom(X1,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3099,def_lhs_atom189]) ).

cnf(c_0_3100_0,axiom,
    c_Datatype__Universe_ONumb(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3100,def_lhs_atom188]) ).

cnf(c_0_3101_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3101,def_lhs_atom186]) ).

cnf(c_0_3102_0,axiom,
    c_Datatype__Universe_OAtom(X1,X5,X4) != c_Datatype__Universe_OScons(X3,X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_3102,def_lhs_atom180]) ).

cnf(c_0_3103_0,axiom,
    c_Public_OpublicKey(X1,X3) != c_Message_OinvKey(c_Public_OpublicKey(X2,X4)),
    inference(unfold_definition,[status(thm)],[c_0_3103,def_lhs_atom749]) ).

cnf(c_0_3104_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X2,X4)) != c_Public_OpublicKey(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3104,def_lhs_atom744]) ).

cnf(c_0_3105_0,axiom,
    c_Message_OHPair(X3,X1) != c_Message_Omsg_OCrypt(X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_3105,def_lhs_atom694]) ).

cnf(c_0_3106_0,axiom,
    c_Message_Omsg_OCrypt(X4,X2) != c_Message_OHPair(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_3106,def_lhs_atom692]) ).

cnf(c_0_3107_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3107,def_lhs_atom684]) ).

cnf(c_0_3108_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3108,def_lhs_atom681]) ).

cnf(c_0_3109_0,axiom,
    c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_OGets(X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_3109,def_lhs_atom675]) ).

cnf(c_0_3110_0,axiom,
    c_Event_Oevent_OGets(X4,X2) != c_Event_Oevent_ONotes(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_3110,def_lhs_atom674]) ).

cnf(c_0_3111_0,axiom,
    c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInl(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3111,def_lhs_atom625]) ).

cnf(c_0_3112_0,axiom,
    c_Sum__Type_OInl(X2,X4,X3) != c_Sum__Type_OInr(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_3112,def_lhs_atom624]) ).

cnf(c_0_3113_0,axiom,
    c_inter(c_insert(X1,X3,X4),c_insert(X1,X2,X4),X4) = c_insert(X1,c_inter(X3,X2,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3113,def_lhs_atom619]) ).

cnf(c_0_3114_0,axiom,
    c_union(X3,c_insert(X1,X2,X4),X4) = c_insert(X1,c_union(X3,X2,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3114,def_lhs_atom605]) ).

cnf(c_0_3115_0,axiom,
    c_union(c_insert(X1,X3,X4),X2,X4) = c_insert(X1,c_union(X3,X2,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3115,def_lhs_atom604]) ).

cnf(c_0_3116_0,axiom,
    c_snd(c_Pair(X2,X1,X3,X4),X3,X4) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3116,def_lhs_atom535]) ).

cnf(c_0_3117_0,axiom,
    c_fst(c_Pair(X1,X2,X4,X3),X4,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3117,def_lhs_atom533]) ).

cnf(c_0_3118_0,axiom,
    c_List_Otake(X2,c_List_Otake(X3,X1,X4),X4) = c_List_Otake(c_Orderings_Omin(X2,X3,tc_nat),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_3118,def_lhs_atom435]) ).

cnf(c_0_3119_0,axiom,
    c_List_Otake(X3,c_List_Oreplicate(X2,X1,X4),X4) = c_List_Oreplicate(c_Orderings_Omin(X3,X2,tc_nat),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_3119,def_lhs_atom434]) ).

cnf(c_0_3120_0,axiom,
    c_List_Otake(X3,c_append(X2,X1,X4),X4) = c_append(c_List_Otake(X3,X2,X4),c_List_Otake(c_minus(X3,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3120,def_lhs_atom431]) ).

cnf(c_0_3121_0,axiom,
    c_List_Otake(c_Suc(X3),c_List_Olist_OCons(X2,X1,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X3,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3121,def_lhs_atom430]) ).

cnf(c_0_3122_0,axiom,
    c_append(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_append(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3122,def_lhs_atom402]) ).

cnf(c_0_3123_0,axiom,
    c_List_Onth(c_append(X2,X1,X4),c_plus(c_Nat_Osize(X2,tc_List_Olist(X4)),X3,tc_nat),X4) = c_List_Onth(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_3123,def_lhs_atom399]) ).

cnf(c_0_3124_0,axiom,
    c_List_Onth(c_append(X3,c_List_Olist_OCons(X2,X1,X4),X4),c_Nat_Osize(X3,tc_List_Olist(X4)),X4) = X2,
    inference(unfold_definition,[status(thm)],[c_0_3124,def_lhs_atom398]) ).

cnf(c_0_3125_0,axiom,
    c_List_Onth(c_List_Olist_OCons(X2,X1,X4),c_Suc(X3),X4) = c_List_Onth(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_3125,def_lhs_atom397]) ).

cnf(c_0_3126_0,axiom,
    c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X3,X2,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olexord(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))),
    inference(unfold_definition,[status(thm)],[c_0_3126,def_lhs_atom334]) ).

cnf(c_0_3127_0,axiom,
    c_Nat_Osize(c_List_Ozip(X2,X1,X4,X3),tc_List_Olist(tc_prod(X4,X3))) = c_Orderings_Omin(c_Nat_Osize(X2,tc_List_Olist(X4)),c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3127,def_lhs_atom332]) ).

cnf(c_0_3128_0,axiom,
    c_Nat_Osize(c_List_Olist__update(X1,X3,X2,X4),tc_List_Olist(X4)) = c_Nat_Osize(X1,tc_List_Olist(X4)),
    inference(unfold_definition,[status(thm)],[c_0_3128,def_lhs_atom324]) ).

cnf(c_0_3129_0,axiom,
    c_List_Oitrev(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Oitrev(X2,c_List_Olist_OCons(X3,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3129,def_lhs_atom315]) ).

cnf(c_0_3130_0,axiom,
    c_List_Odrop(X3,c_List_Oreplicate(X2,X1,X4),X4) = c_List_Oreplicate(c_minus(X2,X3,tc_nat),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_3130,def_lhs_atom310]) ).

cnf(c_0_3131_0,axiom,
    c_List_Odrop(X2,c_List_Odrop(X3,X1,X4),X4) = c_List_Odrop(c_plus(X2,X3,tc_nat),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_3131,def_lhs_atom309]) ).

cnf(c_0_3132_0,axiom,
    c_List_Odrop(X3,c_append(X2,X1,X4),X4) = c_append(c_List_Odrop(X3,X2,X4),c_List_Odrop(c_minus(X3,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3132,def_lhs_atom308]) ).

cnf(c_0_3133_0,axiom,
    c_List_Odrop(c_Suc(X3),c_List_Olist_OCons(X2,X1,X4),X4) = c_List_Odrop(X3,X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_3133,def_lhs_atom307]) ).

cnf(c_0_3134_0,axiom,
    c_append(c_append(X3,X2,X4),X1,X4) = c_append(X3,c_append(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_3134,def_lhs_atom292]) ).

cnf(c_0_3135_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_ONumb(X2,X4,X3),X4,X3) = c_Datatype__Universe_ONumb(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3135,def_lhs_atom197]) ).

cnf(c_0_3136_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OLeaf(X2,X4,X3),X4,X3) = c_Datatype__Universe_OLeaf(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3136,def_lhs_atom196]) ).

cnf(c_0_3137_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn1(X2,X4,X3),X4,X3) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X4,X3),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3137,def_lhs_atom195]) ).

cnf(c_0_3138_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn0(X2,X4,X3),X4,X3) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X4,X3),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3138,def_lhs_atom194]) ).

cnf(c_0_3139_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OAtom(X2,X4,X3),X4,X3) = c_Datatype__Universe_OAtom(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3139,def_lhs_atom193]) ).

cnf(c_0_3140_0,axiom,
    c_Datatype__Universe_ONumb(X1,X4,X3) != c_Datatype__Universe_OLeaf(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3140,def_lhs_atom187]) ).

cnf(c_0_3141_0,axiom,
    c_Datatype__Universe_OLeaf(X2,X4,X3) != c_Datatype__Universe_ONumb(X1,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3141,def_lhs_atom185]) ).

cnf(c_0_3142_0,axiom,
    c_Datatype__Universe_OIn1(X1,X4,X3) != c_Datatype__Universe_OIn0(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3142,def_lhs_atom184]) ).

cnf(c_0_3143_0,axiom,
    c_Datatype__Universe_OIn0(X2,X4,X3) != c_Datatype__Universe_OIn1(X1,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3143,def_lhs_atom183]) ).

cnf(c_0_3144_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X1,X4,X3),tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))),c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3144,def_lhs_atom182]) ).

cnf(c_0_3145_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odprod(X2,X1,X4,X3),tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))),c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X4,X3)),tc_set(tc_Datatype__Universe_Onode(X4,X3))),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_3145,def_lhs_atom181]) ).

cnf(c_0_3146_0,axiom,
    c_Nat_Osize(c_Pair(X2,X1,X4,X3),tc_prod(X4,X3)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3146,def_lhs_atom173]) ).

cnf(c_0_3149_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X2,X3)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3149,def_lhs_atom756]) ).

cnf(c_0_3150_0,axiom,
    c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
    inference(unfold_definition,[status(thm)],[c_0_3150,def_lhs_atom755]) ).

cnf(c_0_3151_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
    inference(unfold_definition,[status(thm)],[c_0_3151,def_lhs_atom754]) ).

cnf(c_0_3152_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X2,X3)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3152,def_lhs_atom748]) ).

cnf(c_0_3153_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X3)),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3153,def_lhs_atom747]) ).

cnf(c_0_3154_0,axiom,
    c_Public_OshrK(X3) != c_Public_OpublicKey(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3154,def_lhs_atom746]) ).

cnf(c_0_3155_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X3))),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3155,def_lhs_atom745]) ).

cnf(c_0_3156_0,axiom,
    c_Public_OshrK(X3) != c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),
    inference(unfold_definition,[status(thm)],[c_0_3156,def_lhs_atom743]) ).

cnf(c_0_3157_0,axiom,
    c_Public_Okeymode_Okeymode__rec(X2,X1,c_Public_Okeymode_OEncryption,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3157,def_lhs_atom735]) ).

cnf(c_0_3158_0,axiom,
    c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3158,def_lhs_atom734]) ).

cnf(c_0_3159_0,axiom,
    c_Public_Okeymode_Okeymode__case(X2,X1,c_Public_Okeymode_OEncryption,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3159,def_lhs_atom731]) ).

cnf(c_0_3160_0,axiom,
    c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3160,def_lhs_atom730]) ).

cnf(c_0_3161_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X2,X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3161,def_lhs_atom728]) ).

cnf(c_0_3162_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X2,X1),c_Message_Oparts(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3162,def_lhs_atom721]) ).

cnf(c_0_3163_0,axiom,
    c_Message_Oparts(c_insert(c_Message_OHPair(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X2,X1),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oparts(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3163,def_lhs_atom718]) ).

cnf(c_0_3164_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X2,X1),c_Message_Oparts(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3164,def_lhs_atom717]) ).

cnf(c_0_3165_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_OHPair(X2,X1),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    inference(unfold_definition,[status(thm)],[c_0_3165,def_lhs_atom713]) ).

cnf(c_0_3166_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X2,X1),c_Message_Oanalz(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3166,def_lhs_atom707]) ).

cnf(c_0_3167_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_OHPair(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X2,X1),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),c_Message_Oanalz(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3167,def_lhs_atom705]) ).

cnf(c_0_3168_0,axiom,
    c_Message_OHPair(X2,X1) != c_Message_Omsg_ONumber(X3),
    inference(unfold_definition,[status(thm)],[c_0_3168,def_lhs_atom698]) ).

cnf(c_0_3169_0,axiom,
    c_Message_OHPair(X2,X1) != c_Message_Omsg_ONonce(X3),
    inference(unfold_definition,[status(thm)],[c_0_3169,def_lhs_atom697]) ).

cnf(c_0_3170_0,axiom,
    c_Message_OHPair(X2,X1) != c_Message_Omsg_OKey(X3),
    inference(unfold_definition,[status(thm)],[c_0_3170,def_lhs_atom696]) ).

cnf(c_0_3171_0,axiom,
    c_Message_OHPair(X3,X2) != c_Message_Omsg_OHash(X1),
    inference(unfold_definition,[status(thm)],[c_0_3171,def_lhs_atom695]) ).

cnf(c_0_3172_0,axiom,
    c_Message_OHPair(X2,X1) != c_Message_Omsg_OAgent(X3),
    inference(unfold_definition,[status(thm)],[c_0_3172,def_lhs_atom693]) ).

cnf(c_0_3173_0,axiom,
    c_Message_Omsg_OHash(X1) != c_Message_OHPair(X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_3173,def_lhs_atom691]) ).

cnf(c_0_3174_0,axiom,
    c_Message_Omsg_OKey(X3) != c_Message_OHPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_3174,def_lhs_atom690]) ).

cnf(c_0_3175_0,axiom,
    c_Message_Omsg_ONumber(X3) != c_Message_OHPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_3175,def_lhs_atom689]) ).

cnf(c_0_3176_0,axiom,
    c_Message_Omsg_ONonce(X3) != c_Message_OHPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_3176,def_lhs_atom688]) ).

cnf(c_0_3177_0,axiom,
    c_Message_Omsg_OAgent(X3) != c_Message_OHPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_3177,def_lhs_atom687]) ).

cnf(c_0_3178_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X2),X1,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3178,def_lhs_atom683]) ).

cnf(c_0_3179_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)) = c_Event_Oused(X1),
    inference(unfold_definition,[status(thm)],[c_0_3179,def_lhs_atom682]) ).

cnf(c_0_3180_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X2),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
    inference(unfold_definition,[status(thm)],[c_0_3180,def_lhs_atom680]) ).

cnf(c_0_3181_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OSays(X3,X2,X1),tc_Event_Oevent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3181,def_lhs_atom676]) ).

cnf(c_0_3182_0,axiom,
    c_union(X2,c_union(X1,X2,X3),X3) = c_union(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3182,def_lhs_atom667]) ).

cnf(c_0_3183_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(X2,X1),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    inference(unfold_definition,[status(thm)],[c_0_3183,def_lhs_atom654]) ).

cnf(c_0_3184_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(X2,X1),X3,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(X2),c_Message_OkeysFor(X3),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3184,def_lhs_atom651]) ).

cnf(c_0_3185_0,axiom,
    c_insert(X1,X2,X3) != c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3185,def_lhs_atom620]) ).

cnf(c_0_3186_0,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3186,def_lhs_atom618]) ).

cnf(c_0_3187_0,axiom,
    c_insert(X1,c_insert(X1,X2,X3),X3) = c_insert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3187,def_lhs_atom617]) ).

cnf(c_0_3188_0,axiom,
    c_insert(X1,c_minus(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)),X3) = c_insert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3188,def_lhs_atom616]) ).

cnf(c_0_3189_0,axiom,
    c_emptyset != c_insert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3189,def_lhs_atom615]) ).

cnf(c_0_3190_0,axiom,
    c_Union(c_insert(X1,X2,tc_set(X3)),X3) = c_union(X1,c_Union(X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3190,def_lhs_atom610]) ).

cnf(c_0_3191_0,axiom,
    c_Union(c_union(X2,X1,tc_set(X3)),X3) = c_union(c_Union(X2,X3),c_Union(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3191,def_lhs_atom608]) ).

cnf(c_0_3192_0,axiom,
    c_union(X2,c_minus(X1,X2,tc_set(X3)),X3) = c_union(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3192,def_lhs_atom597]) ).

cnf(c_0_3193_0,axiom,
    c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3193,def_lhs_atom596]) ).

cnf(c_0_3194_0,axiom,
    c_Pow(c_inter(X2,X1,X3),X3) = c_inter(c_Pow(X2,X3),c_Pow(X1,X3),tc_set(X3)),
    inference(unfold_definition,[status(thm)],[c_0_3194,def_lhs_atom592]) ).

cnf(c_0_3195_0,axiom,
    c_Inter(c_insert(X1,X2,tc_set(X3)),X3) = c_inter(X1,c_Inter(X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3195,def_lhs_atom591]) ).

cnf(c_0_3196_0,axiom,
    c_minus(c_minus(X2,X1,tc_set(X3)),X1,tc_set(X3)) = c_minus(X2,X1,tc_set(X3)),
    inference(unfold_definition,[status(thm)],[c_0_3196,def_lhs_atom582]) ).

cnf(c_0_3197_0,axiom,
    c_inter(X2,c_minus(X1,X2,tc_set(X3)),X3) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3197,def_lhs_atom580]) ).

cnf(c_0_3198_0,axiom,
    c_minus(X2,c_uminus(X1,tc_set(X3)),tc_set(X3)) = c_inter(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3198,def_lhs_atom577]) ).

cnf(c_0_3199_0,axiom,
    c_uminus(c_union(X2,X1,X3),tc_set(X3)) = c_inter(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),X3),
    inference(unfold_definition,[status(thm)],[c_0_3199,def_lhs_atom573]) ).

cnf(c_0_3200_0,axiom,
    c_uminus(c_inter(X2,X1,X3),tc_set(X3)) = c_union(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),X3),
    inference(unfold_definition,[status(thm)],[c_0_3200,def_lhs_atom571]) ).

cnf(c_0_3201_0,axiom,
    c_uminus(c_minus(X2,X1,tc_set(X3)),tc_set(X3)) = c_union(c_uminus(X2,tc_set(X3)),X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3201,def_lhs_atom570]) ).

cnf(c_0_3202_0,axiom,
    c_Nat_Opower(X2,c_Suc(X1),tc_set(tc_prod(X3,X3))) = c_Relation_Orel__comp(X2,c_Nat_Opower(X2,X1,tc_set(tc_prod(X3,X3))),X3,X3,X3),
    inference(unfold_definition,[status(thm)],[c_0_3202,def_lhs_atom555]) ).

cnf(c_0_3203_0,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X3,X2),X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3203,def_lhs_atom549]) ).

cnf(c_0_3204_0,axiom,
    c_Relation_Orel__comp(X1,c_Relation_OId,X3,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3204,def_lhs_atom544]) ).

cnf(c_0_3205_0,axiom,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3205,def_lhs_atom543]) ).

cnf(c_0_3206_0,axiom,
    c_Relation_OImage(c_Relation_Odiag(X2,X3),X1,X3,X3) = c_inter(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3206,def_lhs_atom542]) ).

cnf(c_0_3207_0,axiom,
    c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3207,def_lhs_atom540]) ).

cnf(c_0_3208_0,axiom,
    c_Pair(c_Main_Osurj__pair__1(X1,X3,X2),c_Main_Osurj__pair__2(X1,X3,X2),X3,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3208,def_lhs_atom536]) ).

cnf(c_0_3209_0,axiom,
    c_Pair(c_fst(X1,X3,X2),c_snd(X1,X3,X2),X3,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3209,def_lhs_atom534]) ).

cnf(c_0_3210_0,axiom,
    c_Numeral_Obit_Obit__rec(X2,X1,c_Numeral_Obit_OB1,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3210,def_lhs_atom524]) ).

cnf(c_0_3211_0,axiom,
    c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3211,def_lhs_atom523]) ).

cnf(c_0_3212_0,axiom,
    c_Numeral_Obit_Obit__case(X2,X1,c_Numeral_Obit_OB1,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3212,def_lhs_atom520]) ).

cnf(c_0_3213_0,axiom,
    c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3213,def_lhs_atom519]) ).

cnf(c_0_3214_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),c_Numeral_OBit(X2,X1)) = c_Numeral_OBit(c_Numeral_Obin__add(X3,X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_3214,def_lhs_atom496]) ).

cnf(c_0_3215_0,axiom,
    c_minus(c_minus(X3,X2,tc_nat),X1,tc_nat) = c_minus(X3,c_plus(X2,X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3215,def_lhs_atom467]) ).

cnf(c_0_3216_0,axiom,
    c_minus(c_minus(c_Suc(X2),X1,tc_nat),c_Suc(X3),tc_nat) = c_minus(c_minus(X2,X1,tc_nat),X3,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3216,def_lhs_atom459]) ).

cnf(c_0_3217_0,axiom,
    c_List_Ozip(c_List_Olist_ONil,X1,X3,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3217,def_lhs_atom442]) ).

cnf(c_0_3218_0,axiom,
    c_List_Ozip(X1,c_List_Olist_ONil,X3,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3218,def_lhs_atom440]) ).

cnf(c_0_3219_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(unfold_definition,[status(thm)],[c_0_3219,def_lhs_atom439]) ).

cnf(c_0_3220_0,axiom,
    c_List_Otl(c_List_Olist_OCons(X2,X1,X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3220,def_lhs_atom437]) ).

cnf(c_0_3221_0,axiom,
    c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3) = c_List_Otake(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3221,def_lhs_atom429]) ).

cnf(c_0_3222_0,axiom,
    c_List_Oset(c_List_Orotate(X2,X1,X3),X3) = c_List_Oset(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3222,def_lhs_atom425]) ).

cnf(c_0_3223_0,axiom,
    c_List_Oset(c_append(X2,X1,X3),X3) = c_union(c_List_Oset(X2,X3),c_List_Oset(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3223,def_lhs_atom420]) ).

cnf(c_0_3224_0,axiom,
    c_List_Oset(c_List_Olist_OCons(X2,X1,X3),X3) = c_insert(X2,c_List_Oset(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3224,def_lhs_atom419]) ).

cnf(c_0_3225_0,axiom,
    c_List_Orotate(c_Suc(X2),X1,X3) = c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3225,def_lhs_atom417]) ).

cnf(c_0_3226_0,axiom,
    c_List_Orev(c_List_Oreplicate(X2,X1,X3),X3) = c_List_Oreplicate(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3226,def_lhs_atom413]) ).

cnf(c_0_3227_0,axiom,
    c_List_Orev(c_append(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3227,def_lhs_atom412]) ).

cnf(c_0_3228_0,axiom,
    c_List_Orev(c_append(X2,X1,X3),X3) = c_append(c_List_Orev(X1,X3),c_List_Orev(X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3228,def_lhs_atom411]) ).

cnf(c_0_3229_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X2,X1,X3),X3) = c_append(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3229,def_lhs_atom410]) ).

cnf(c_0_3230_0,axiom,
    c_List_Oreplicate(c_Suc(X2),X1,X3) = c_List_Olist_OCons(X1,c_List_Oreplicate(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3230,def_lhs_atom409]) ).

cnf(c_0_3231_0,axiom,
    c_List_Oremove1(X2,c_List_Olist_OCons(X2,X1,X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3231,def_lhs_atom407]) ).

cnf(c_0_3232_0,axiom,
    c_List_Oop_Amem(X2,c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3232,def_lhs_atom404]) ).

cnf(c_0_3233_0,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3233,def_lhs_atom401]) ).

cnf(c_0_3234_0,axiom,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_0,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3234,def_lhs_atom396]) ).

cnf(c_0_3235_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3235,def_lhs_atom395]) ).

cnf(c_0_3236_0,axiom,
    c_List_Olistset(c_List_Olist_OCons(X2,X1,tc_set(X3)),X3) = c_List_Oset__Cons(X2,c_List_Olistset(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3236,def_lhs_atom346]) ).

cnf(c_0_3237_0,axiom,
    c_List_Olists(c_inter(X2,X1,X3),X3) = c_inter(c_List_Olists(X2,X3),c_List_Olists(X1,X3),tc_List_Olist(X3)),
    inference(unfold_definition,[status(thm)],[c_0_3237,def_lhs_atom343]) ).

cnf(c_0_3238_0,axiom,
    c_List_Olist__update(c_List_Olist_ONil,X2,X1,X3) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3238,def_lhs_atom340]) ).

cnf(c_0_3239_0,axiom,
    c_Nat_Osize(c_List_Olist_OCons(X2,X1,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3239,def_lhs_atom338]) ).

cnf(c_0_3240_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3240,def_lhs_atom337]) ).

cnf(c_0_3241_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_3241,def_lhs_atom336]) ).

cnf(c_0_3242_0,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X2,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(unfold_definition,[status(thm)],[c_0_3242,def_lhs_atom335]) ).

cnf(c_0_3243_0,axiom,
    c_Nat_Osize(c_List_Otake(X2,X1,X3),tc_List_Olist(X3)) = c_Orderings_Omin(c_Nat_Osize(X1,tc_List_Olist(X3)),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3243,def_lhs_atom329]) ).

cnf(c_0_3244_0,axiom,
    c_Nat_Osize(c_List_Orotate(X2,X1,X3),tc_List_Olist(X3)) = c_Nat_Osize(X1,tc_List_Olist(X3)),
    inference(unfold_definition,[status(thm)],[c_0_3244,def_lhs_atom328]) ).

cnf(c_0_3245_0,axiom,
    c_Nat_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3245,def_lhs_atom325]) ).

cnf(c_0_3246_0,axiom,
    c_Nat_Osize(c_List_Odrop(X2,X1,X3),tc_List_Olist(X3)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X3)),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3246,def_lhs_atom322]) ).

cnf(c_0_3247_0,axiom,
    c_Nat_Osize(c_append(X2,X1,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X2,tc_List_Olist(X3)),c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3247,def_lhs_atom320]) ).

cnf(c_0_3248_0,axiom,
    c_List_Olast(c_append(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3248,def_lhs_atom318]) ).

cnf(c_0_3249_0,axiom,
    c_List_Oitrev(X1,X2,X3) = c_append(c_List_Orev(X1,X3),X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_3249,def_lhs_atom313]) ).

cnf(c_0_3250_0,axiom,
    c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3250,def_lhs_atom312]) ).

cnf(c_0_3251_0,axiom,
    c_List_Odrop(X1,c_List_Oupt(X3,X2),tc_nat) = c_List_Oupt(c_plus(X3,X1,tc_nat),X2),
    inference(unfold_definition,[status(thm)],[c_0_3251,def_lhs_atom311]) ).

cnf(c_0_3252_0,axiom,
    c_List_Oconcat(c_append(X2,X1,tc_List_Olist(X3)),X3) = c_append(c_List_Oconcat(X2,X3),c_List_Oconcat(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3252,def_lhs_atom302]) ).

cnf(c_0_3253_0,axiom,
    c_List_Oconcat(c_List_Olist_OCons(X2,X1,tc_List_Olist(X3)),X3) = c_append(X2,c_List_Oconcat(X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_3253,def_lhs_atom301]) ).

cnf(c_0_3254_0,axiom,
    c_List_Obutlast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3254,def_lhs_atom298]) ).

cnf(c_0_3255_0,axiom,
    c_append(c_List_Otake(X2,X1,X3),c_List_Odrop(X2,X1,X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3255,def_lhs_atom295]) ).

cnf(c_0_3256_0,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X2,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(unfold_definition,[status(thm)],[c_0_3256,def_lhs_atom291]) ).

cnf(c_0_3257_0,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X2,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(unfold_definition,[status(thm)],[c_0_3257,def_lhs_atom288]) ).

cnf(c_0_3258_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X2,X1,c_Extraction_Osumbool_ORight,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3258,def_lhs_atom226]) ).

cnf(c_0_3259_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3259,def_lhs_atom225]) ).

cnf(c_0_3260_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(X2,X1,c_Extraction_Osumbool_ORight,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3260,def_lhs_atom222]) ).

cnf(c_0_3261_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3261,def_lhs_atom221]) ).

cnf(c_0_3262_0,axiom,
    c_Divides_Oop_Amod(c_plus(X2,c_times(X1,X3,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3262,def_lhs_atom215]) ).

cnf(c_0_3263_0,axiom,
    c_Divides_Oop_Amod(c_plus(X2,c_times(X3,X1,tc_nat),tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3263,def_lhs_atom213]) ).

cnf(c_0_3264_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(X1,X3,X2),X3,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3264,def_lhs_atom200]) ).

cnf(c_0_3265_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(X1,X3,X2),X3,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3265,def_lhs_atom199]) ).

cnf(c_0_3266_0,axiom,
    c_Datatype__Universe_Ontrunc(c_0,X1,X3,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3266,def_lhs_atom192]) ).

cnf(c_0_3267_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInr(X1,X2,X3),tc_sum(X3,X2)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3267,def_lhs_atom175]) ).

cnf(c_0_3268_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInl(X1,X3,X2),tc_sum(X3,X2)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3268,def_lhs_atom174]) ).

cnf(c_0_3269_0,axiom,
    c_in(c_Pair(X2,X2,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)),
    inference(unfold_definition,[status(thm)],[c_0_3269,def_lhs_atom36]) ).

cnf(c_0_3270_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3270,def_lhs_atom753]) ).

cnf(c_0_3271_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oknows(X2,X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3271,def_lhs_atom752]) ).

cnf(c_0_3272_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_OinitState(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3272,def_lhs_atom742]) ).

cnf(c_0_3273_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,X2)) != c_Public_OshrK(X1),
    inference(unfold_definition,[status(thm)],[c_0_3273,def_lhs_atom741]) ).

cnf(c_0_3274_0,axiom,
    ~ c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3274,def_lhs_atom740]) ).

cnf(c_0_3275_0,axiom,
    ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3275,def_lhs_atom739]) ).

cnf(c_0_3276_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3276,def_lhs_atom726]) ).

cnf(c_0_3277_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X2,X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3277,def_lhs_atom725]) ).

cnf(c_0_3278_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3278,def_lhs_atom723]) ).

cnf(c_0_3279_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3279,def_lhs_atom722]) ).

cnf(c_0_3280_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3280,def_lhs_atom720]) ).

cnf(c_0_3281_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3281,def_lhs_atom719]) ).

cnf(c_0_3282_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3282,def_lhs_atom716]) ).

cnf(c_0_3283_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Osynth(X2),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),c_Message_Osynth(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3283,def_lhs_atom712]) ).

cnf(c_0_3284_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3284,def_lhs_atom709]) ).

cnf(c_0_3285_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3285,def_lhs_atom708]) ).

cnf(c_0_3286_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3286,def_lhs_atom706]) ).

cnf(c_0_3287_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3287,def_lhs_atom704]) ).

cnf(c_0_3288_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Oanalz(X2),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),
    inference(unfold_definition,[status(thm)],[c_0_3288,def_lhs_atom701]) ).

cnf(c_0_3289_0,axiom,
    c_in(c_Message_Omsg_ONumber(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3289,def_lhs_atom700]) ).

cnf(c_0_3290_0,axiom,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),X1) = c_Message_OHPair(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_3290,def_lhs_atom699]) ).

cnf(c_0_3291_0,axiom,
    c_Message_OHPair(X2,X1) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X1)),X1),
    inference(unfold_definition,[status(thm)],[c_0_3291,def_lhs_atom686]) ).

cnf(c_0_3292_0,axiom,
    c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3292,def_lhs_atom685]) ).

cnf(c_0_3293_0,axiom,
    c_Nat_Osize(c_Event_Oevent_ONotes(X2,X1),tc_Event_Oevent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3293,def_lhs_atom678]) ).

cnf(c_0_3294_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OGets(X2,X1),tc_Event_Oevent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3294,def_lhs_atom677]) ).

cnf(c_0_3295_0,axiom,
    c_Message_Oparts(c_union(X2,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X2),c_Message_Oparts(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3295,def_lhs_atom664]) ).

cnf(c_0_3296_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OCrypt(X1,X2),tc_Message_Omsg) = c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3296,def_lhs_atom663]) ).

cnf(c_0_3297_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OMPair(X2,X1),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3297,def_lhs_atom662]) ).

cnf(c_0_3298_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_3298,def_lhs_atom656]) ).

cnf(c_0_3299_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_3299,def_lhs_atom655]) ).

cnf(c_0_3300_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_3300,def_lhs_atom653]) ).

cnf(c_0_3301_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    inference(unfold_definition,[status(thm)],[c_0_3301,def_lhs_atom652]) ).

cnf(c_0_3302_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(X2),X1,tc_Message_Omsg)) = c_Message_OkeysFor(X1),
    inference(unfold_definition,[status(thm)],[c_0_3302,def_lhs_atom650]) ).

cnf(c_0_3303_0,axiom,
    c_Message_OkeysFor(c_union(X2,X1,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X2),c_Message_OkeysFor(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3303,def_lhs_atom648]) ).

cnf(c_0_3304_0,axiom,
    c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3304,def_lhs_atom637]) ).

cnf(c_0_3305_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_3305,def_lhs_atom636]) ).

cnf(c_0_3306_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_3306,def_lhs_atom634]) ).

cnf(c_0_3307_0,axiom,
    c_Transitive__Closure_Ortrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3307,def_lhs_atom633]) ).

cnf(c_0_3308_0,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3308,def_lhs_atom632]) ).

cnf(c_0_3309_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3309,def_lhs_atom631]) ).

cnf(c_0_3310_0,axiom,
    c_union(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId,tc_prod(X2,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3310,def_lhs_atom629]) ).

cnf(c_0_3311_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3311,def_lhs_atom628]) ).

cnf(c_0_3312_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3312,def_lhs_atom627]) ).

cnf(c_0_3313_0,axiom,
    c_Sum__Type_OPlus(c_UNIV,c_UNIV,X2,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3313,def_lhs_atom626]) ).

cnf(c_0_3314_0,axiom,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3314,def_lhs_atom622]) ).

cnf(c_0_3315_0,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3315,def_lhs_atom621]) ).

cnf(c_0_3316_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    inference(unfold_definition,[status(thm)],[c_0_3316,def_lhs_atom614]) ).

cnf(c_0_3317_0,axiom,
    c_minus(c_emptyset,X1,tc_set(X2)) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3317,def_lhs_atom613]) ).

cnf(c_0_3318_0,axiom,
    c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3318,def_lhs_atom612]) ).

cnf(c_0_3319_0,axiom,
    c_Set_Ocontents(c_insert(X1,c_emptyset,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3319,def_lhs_atom611]) ).

cnf(c_0_3320_0,axiom,
    c_Union(c_Pow(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3320,def_lhs_atom606]) ).

cnf(c_0_3321_0,axiom,
    c_union(X1,c_emptyset,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3321,def_lhs_atom603]) ).

cnf(c_0_3322_0,axiom,
    c_union(c_emptyset,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3322,def_lhs_atom602]) ).

cnf(c_0_3323_0,axiom,
    c_union(X1,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3323,def_lhs_atom600]) ).

cnf(c_0_3324_0,axiom,
    c_union(X1,c_UNIV,X2) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3324,def_lhs_atom599]) ).

cnf(c_0_3325_0,axiom,
    c_union(c_UNIV,X1,X2) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3325,def_lhs_atom598]) ).

cnf(c_0_3326_0,axiom,
    c_inter(X1,c_emptyset,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3326,def_lhs_atom588]) ).

cnf(c_0_3327_0,axiom,
    c_inter(c_emptyset,X1,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3327,def_lhs_atom587]) ).

cnf(c_0_3328_0,axiom,
    c_inter(X1,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3328,def_lhs_atom586]) ).

cnf(c_0_3329_0,axiom,
    c_inter(X1,c_UNIV,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3329,def_lhs_atom585]) ).

cnf(c_0_3330_0,axiom,
    c_inter(c_UNIV,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3330,def_lhs_atom584]) ).

cnf(c_0_3331_0,axiom,
    c_minus(X1,c_emptyset,tc_set(X2)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3331,def_lhs_atom581]) ).

cnf(c_0_3332_0,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3332,def_lhs_atom579]) ).

cnf(c_0_3333_0,axiom,
    c_minus(X1,c_UNIV,tc_set(X2)) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3333,def_lhs_atom578]) ).

cnf(c_0_3334_0,axiom,
    c_inter(X1,c_uminus(X1,tc_set(X2)),X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3334,def_lhs_atom575]) ).

cnf(c_0_3335_0,axiom,
    c_inter(c_uminus(X1,tc_set(X2)),X1,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3335,def_lhs_atom574]) ).

cnf(c_0_3336_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3336,def_lhs_atom567]) ).

cnf(c_0_3337_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_nat),tc_nat) = c_minus(X1,c_Suc(X2),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3337,def_lhs_atom566]) ).

cnf(c_0_3338_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X1,X2,tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3338,def_lhs_atom565]) ).

cnf(c_0_3339_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_nat),tc_nat) = c_minus(X1,X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3339,def_lhs_atom564]) ).

cnf(c_0_3340_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X1,X2,tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3340,def_lhs_atom562]) ).

cnf(c_0_3341_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X2,X1,tc_nat),tc_nat) = c_minus(X1,X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3341,def_lhs_atom561]) ).

cnf(c_0_3342_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(X1,X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3342,def_lhs_atom560]) ).

cnf(c_0_3343_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X2,X1,tc_nat),tc_nat) = c_minus(c_Suc(X1),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3343,def_lhs_atom559]) ).

cnf(c_0_3344_0,axiom,
    c_Nat_Opower(X1,c_0,tc_set(tc_prod(X2,X2))) = c_Relation_OId,
    inference(unfold_definition,[status(thm)],[c_0_3344,def_lhs_atom554]) ).

cnf(c_0_3345_0,axiom,
    c_Nat_Opower(X1,c_1,tc_set(tc_prod(X2,X2))) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3345,def_lhs_atom553]) ).

cnf(c_0_3346_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    inference(unfold_definition,[status(thm)],[c_0_3346,def_lhs_atom552]) ).

cnf(c_0_3347_0,axiom,
    c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2) = c_Relation_Odiag(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3347,def_lhs_atom550]) ).

cnf(c_0_3348_0,axiom,
    c_Relation_ORange(c_emptyset,X1,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3348,def_lhs_atom547]) ).

cnf(c_0_3349_0,axiom,
    c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3349,def_lhs_atom546]) ).

cnf(c_0_3350_0,axiom,
    c_Relation_OImage(c_Relation_OId,X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3350,def_lhs_atom541]) ).

cnf(c_0_3351_0,axiom,
    c_Relation_ODomain(c_emptyset,X2,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3351,def_lhs_atom539]) ).

cnf(c_0_3352_0,axiom,
    c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3352,def_lhs_atom538]) ).

cnf(c_0_3353_0,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_nat) = c_times(X1,c_Nat_Opower(X1,X2,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3353,def_lhs_atom532]) ).

cnf(c_0_3354_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),X1) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(X2,X1),c_Numeral_Obit_OB0),X1),
    inference(unfold_definition,[status(thm)],[c_0_3354,def_lhs_atom508]) ).

cnf(c_0_3355_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1) = c_Numeral_OBit(c_Numeral_Obin__mult(X2,X1),c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3355,def_lhs_atom507]) ).

cnf(c_0_3356_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(X2,c_Numeral_Obin__succ(X1)),c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3356,def_lhs_atom498]) ).

cnf(c_0_3357_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(X2,X1),c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3357,def_lhs_atom497]) ).

cnf(c_0_3358_0,axiom,
    c_plus(c_Suc(X2),X1,tc_nat) = c_Suc(c_plus(X2,X1,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3358,def_lhs_atom492]) ).

cnf(c_0_3359_0,axiom,
    c_times(c_Suc(X2),X1,tc_nat) = c_plus(X1,c_times(X2,X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3359,def_lhs_atom490]) ).

cnf(c_0_3360_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3360,def_lhs_atom485]) ).

cnf(c_0_3361_0,axiom,
    ~ c_less(c_plus(X2,X1,tc_nat),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3361,def_lhs_atom484]) ).

cnf(c_0_3362_0,axiom,
    c_times(X2,c_Suc(X1),tc_nat) = c_plus(X2,c_times(X2,X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3362,def_lhs_atom480]) ).

cnf(c_0_3363_0,axiom,
    c_Orderings_Omin(c_Suc(X2),c_Suc(X1),tc_nat) = c_Suc(c_Orderings_Omin(X2,X1,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3363,def_lhs_atom478]) ).

cnf(c_0_3364_0,axiom,
    c_Orderings_Omax(c_Suc(X2),c_Suc(X1),tc_nat) = c_Suc(c_Orderings_Omax(X2,X1,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3364,def_lhs_atom475]) ).

cnf(c_0_3365_0,axiom,
    c_lessequals(c_minus(X2,X1,tc_nat),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3365,def_lhs_atom468]) ).

cnf(c_0_3366_0,axiom,
    c_minus(c_Suc(X2),c_Suc(X1),tc_nat) = c_minus(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3366,def_lhs_atom466]) ).

cnf(c_0_3367_0,axiom,
    c_plus(X2,c_Suc(X1),tc_nat) = c_Suc(c_plus(X2,X1,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3367,def_lhs_atom463]) ).

cnf(c_0_3368_0,axiom,
    c_Divides_Oop_Amod(X2,c_Suc(c_Suc(c_Suc(X1))),tc_nat) = c_Divides_Oop_Amod(X2,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3368,def_lhs_atom457]) ).

cnf(c_0_3369_0,axiom,
    c_div(X2,c_Suc(c_Suc(c_Suc(X1))),tc_nat) = c_div(X2,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3369,def_lhs_atom455]) ).

cnf(c_0_3370_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(X2))),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3370,def_lhs_atom450]) ).

cnf(c_0_3371_0,axiom,
    c_div(c_Suc(c_Suc(c_Suc(X2))),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3371,def_lhs_atom449]) ).

cnf(c_0_3372_0,axiom,
    c_IntDef_Oint(c_plus(X2,X1,tc_nat)) = c_plus(c_IntDef_Oint(X2),c_IntDef_Oint(X1),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3372,def_lhs_atom444]) ).

cnf(c_0_3373_0,axiom,
    c_List_Otake(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3373,def_lhs_atom433]) ).

cnf(c_0_3374_0,axiom,
    c_List_Otake(c_0,X1,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3374,def_lhs_atom432]) ).

cnf(c_0_3375_0,axiom,
    c_List_Osublist(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3375,def_lhs_atom428]) ).

cnf(c_0_3376_0,axiom,
    c_List_Osublist(X1,c_emptyset,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3376,def_lhs_atom427]) ).

cnf(c_0_3377_0,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_3377,def_lhs_atom426]) ).

cnf(c_0_3378_0,axiom,
    c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3378,def_lhs_atom424]) ).

cnf(c_0_3379_0,axiom,
    c_List_Oset(c_List_Orev(X1,X2),X2) = c_List_Oset(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3379,def_lhs_atom423]) ).

cnf(c_0_3380_0,axiom,
    c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3380,def_lhs_atom422]) ).

cnf(c_0_3381_0,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3381,def_lhs_atom294]) ).

cnf(c_0_3382_0,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3382,def_lhs_atom293]) ).

cnf(c_0_3383_0,axiom,
    c_List_Orotate(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3383,def_lhs_atom418]) ).

cnf(c_0_3384_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),
    inference(unfold_definition,[status(thm)],[c_0_3384,def_lhs_atom415]) ).

cnf(c_0_3385_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3385,def_lhs_atom414]) ).

cnf(c_0_3386_0,axiom,
    c_List_Oreplicate(c_0,X1,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3386,def_lhs_atom408]) ).

cnf(c_0_3387_0,axiom,
    c_List_Oremove1(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3387,def_lhs_atom406]) ).

cnf(c_0_3388_0,axiom,
    ~ c_List_Oop_Amem(X1,c_List_Olist_ONil,X2),
    inference(unfold_definition,[status(thm)],[c_0_3388,def_lhs_atom403]) ).

cnf(c_0_3389_0,axiom,
    c_Relation_OImage(c_List_Olistrel(X1,X2),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),tc_List_Olist(X2),tc_List_Olist(X2)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3389,def_lhs_atom342]) ).

cnf(c_0_3390_0,axiom,
    c_List_Olist__inter(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3390,def_lhs_atom339]) ).

cnf(c_0_3391_0,axiom,
    c_List_Olexn(X1,c_0,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3391,def_lhs_atom333]) ).

cnf(c_0_3392_0,axiom,
    c_Nat_Osize(c_List_Oupt(X2,X1),tc_List_Olist(tc_nat)) = c_minus(X1,X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3392,def_lhs_atom331]) ).

cnf(c_0_3393_0,axiom,
    c_Nat_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3393,def_lhs_atom330]) ).

cnf(c_0_3394_0,axiom,
    c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3394,def_lhs_atom327]) ).

cnf(c_0_3395_0,axiom,
    c_Nat_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3395,def_lhs_atom326]) ).

cnf(c_0_3396_0,axiom,
    c_Nat_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3396,def_lhs_atom321]) ).

cnf(c_0_3397_0,axiom,
    c_List_Olast(c_append(X1,c_List_Olist_ONil,X2),X2) = c_List_Olast(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3397,def_lhs_atom317]) ).

cnf(c_0_3398_0,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3398,def_lhs_atom316]) ).

cnf(c_0_3399_0,axiom,
    c_List_Oitrev(c_List_Olist_ONil,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3399,def_lhs_atom314]) ).

cnf(c_0_3400_0,axiom,
    c_List_Odrop(c_0,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3400,def_lhs_atom306]) ).

cnf(c_0_3401_0,axiom,
    c_List_Odrop(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3401,def_lhs_atom305]) ).

cnf(c_0_3402_0,axiom,
    c_List_Odistinct(c_List_Oupt(X2,X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3402,def_lhs_atom304]) ).

cnf(c_0_3403_0,axiom,
    c_Nat_Osize(c_List_Ochar_OChar(X2,X1),tc_List_Ochar) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3403,def_lhs_atom299]) ).

cnf(c_0_3404_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3404,def_lhs_atom297]) ).

cnf(c_0_3405_0,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3405,def_lhs_atom294]) ).

cnf(c_0_3406_0,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3406,def_lhs_atom293]) ).

cnf(c_0_3407_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3407,def_lhs_atom287]) ).

cnf(c_0_3408_0,axiom,
    c_Divides_Oop_Amod(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3408,def_lhs_atom286]) ).

cnf(c_0_3409_0,axiom,
    c_Divides_Oop_Amod(c_uminus(X2,tc_IntDef_Oint),c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3409,def_lhs_atom285]) ).

cnf(c_0_3410_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3410,def_lhs_atom283]) ).

cnf(c_0_3411_0,axiom,
    c_Divides_Oop_Amod(c_plus(X2,X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3411,def_lhs_atom282]) ).

cnf(c_0_3412_0,axiom,
    c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3412,def_lhs_atom277]) ).

cnf(c_0_3413_0,axiom,
    c_div(c_uminus(X2,tc_IntDef_Oint),c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(X2,X1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3413,def_lhs_atom274]) ).

cnf(c_0_3414_0,axiom,
    c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3414,def_lhs_atom272]) ).

cnf(c_0_3415_0,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_IntDef_Oint) = c_times(X1,c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3415,def_lhs_atom269]) ).

cnf(c_0_3416_0,axiom,
    c_IntDiv_OnegateSnd(c_Pair(X2,X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(X2,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3416,def_lhs_atom266]) ).

cnf(c_0_3417_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3417,def_lhs_atom264]) ).

cnf(c_0_3418_0,axiom,
    c_div(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3418,def_lhs_atom263]) ).

cnf(c_0_3419_0,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3419,def_lhs_atom258]) ).

cnf(c_0_3420_0,axiom,
    c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X2,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))),
    inference(unfold_definition,[status(thm)],[c_0_3420,def_lhs_atom252]) ).

cnf(c_0_3421_0,axiom,
    c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(X1,X2,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3421,def_lhs_atom243]) ).

cnf(c_0_3422_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_times(X1,X2,tc_nat),tc_nat,tc_nat)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3422,def_lhs_atom239]) ).

cnf(c_0_3423_0,axiom,
    c_GCD_Ogcd(c_Pair(X2,c_plus(X1,X2,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3423,def_lhs_atom238]) ).

cnf(c_0_3424_0,axiom,
    c_GCD_Ogcd(c_Pair(X2,c_plus(X2,X1,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3424,def_lhs_atom237]) ).

cnf(c_0_3425_0,axiom,
    c_GCD_Ogcd(c_Pair(c_plus(X2,X1,tc_nat),X1,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3425,def_lhs_atom236]) ).

cnf(c_0_3426_0,axiom,
    c_Fun_Oid(X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3426,def_lhs_atom231]) ).

cnf(c_0_3427_0,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3427,def_lhs_atom220]) ).

cnf(c_0_3428_0,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3428,def_lhs_atom220]) ).

cnf(c_0_3429_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3429,def_lhs_atom219]) ).

cnf(c_0_3430_0,axiom,
    c_div(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3430,def_lhs_atom218]) ).

cnf(c_0_3431_0,axiom,
    c_Divides_Oop_Amod(c_times(X2,X1,tc_nat),X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3431,def_lhs_atom216]) ).

cnf(c_0_3432_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3432,def_lhs_atom214]) ).

cnf(c_0_3433_0,axiom,
    c_Divides_Oop_Amod(c_plus(X2,X1,tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3433,def_lhs_atom212]) ).

cnf(c_0_3434_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3434,def_lhs_atom211]) ).

cnf(c_0_3435_0,axiom,
    c_lessequals(c_div(X2,X1,tc_nat),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3435,def_lhs_atom205]) ).

cnf(c_0_3436_0,axiom,
    c_Datatype_Ounit_Ounit__rec(X1,c_Product__Type_OUnity,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3436,def_lhs_atom178]) ).

cnf(c_0_3437_0,axiom,
    c_Datatype_Ounit_Ounit__case(X1,c_Product__Type_OUnity,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3437,def_lhs_atom177]) ).

cnf(c_0_3438_0,axiom,
    c_Datatype_Othe(c_Datatype_Ooption_OSome(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3438,def_lhs_atom176]) ).

cnf(c_0_3439_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_OSome(X1,X2),tc_Datatype_Ooption(X2)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3439,def_lhs_atom172]) ).

cnf(c_0_3440_0,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    inference(unfold_definition,[status(thm)],[c_0_3440,def_lhs_atom170]) ).

cnf(c_0_3441_0,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_3441,def_lhs_atom169]) ).

cnf(c_0_3442_0,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2) = c_insert(X1,c_emptyset,X2),
    inference(unfold_definition,[status(thm)],[c_0_3442,def_lhs_atom167]) ).

cnf(c_0_3443_0,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_3443,def_lhs_atom166]) ).

cnf(c_0_3444_0,axiom,
    c_Binomial_Obinomial(c_Suc(X1),c_Suc(X2)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Suc(X2)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3444,def_lhs_atom162]) ).

cnf(c_0_3445_0,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    inference(unfold_definition,[status(thm)],[c_0_3445,def_lhs_atom107]) ).

cnf(c_0_3446_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3446,def_lhs_atom35]) ).

cnf(c_0_3447_0,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_3447,def_lhs_atom34]) ).

cnf(c_0_3448_0,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3448,def_lhs_atom33]) ).

cnf(c_0_3449_0,axiom,
    c_in(X1,c_UNIV,X2),
    inference(unfold_definition,[status(thm)],[c_0_3449,def_lhs_atom32]) ).

cnf(c_0_3450_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3450,def_lhs_atom30]) ).

cnf(c_0_3451_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3451,def_lhs_atom29]) ).

cnf(c_0_3452_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3452,def_lhs_atom28]) ).

cnf(c_0_3453_0,axiom,
    c_in(c_SetInterval_OgreaterThanAtMost(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3453,def_lhs_atom27]) ).

cnf(c_0_3454_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3454,def_lhs_atom25]) ).

cnf(c_0_3455_0,axiom,
    c_in(c_SetInterval_OatLeastLessThan(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3455,def_lhs_atom24]) ).

cnf(c_0_3456_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X2,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3456,def_lhs_atom23]) ).

cnf(c_0_3457_0,axiom,
    c_in(c_SetInterval_OatLeastAtMost(X2,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3457,def_lhs_atom22]) ).

cnf(c_0_3458_0,axiom,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3458,def_lhs_atom17]) ).

cnf(c_0_3459_0,axiom,
    c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3459,def_lhs_atom16]) ).

cnf(c_0_3460_0,axiom,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(unfold_definition,[status(thm)],[c_0_3460,def_lhs_atom15]) ).

cnf(c_0_3461_0,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_3461,def_lhs_atom14]) ).

cnf(c_0_3462_0,axiom,
    c_Divides_Oop_Advd(X2,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3462,def_lhs_atom13]) ).

cnf(c_0_3463_0,axiom,
    c_Divides_Oop_Advd(X2,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3463,def_lhs_atom12]) ).

cnf(c_0_3464_0,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3464,def_lhs_atom9]) ).

cnf(c_0_3465_0,axiom,
    c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3465,def_lhs_atom8]) ).

cnf(c_0_3466_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3466,def_lhs_atom7]) ).

cnf(c_0_3467_0,axiom,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),X2,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3467,def_lhs_atom6]) ).

cnf(c_0_3468_0,axiom,
    c_Divides_Oop_Advd(X2,c_times(X1,X2,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3468,def_lhs_atom4]) ).

cnf(c_0_3469_0,axiom,
    c_Divides_Oop_Advd(X2,c_times(X2,X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3469,def_lhs_atom3]) ).

cnf(c_0_3470_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3470,def_lhs_atom751]) ).

cnf(c_0_3471_0,axiom,
    c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3471,def_lhs_atom750]) ).

cnf(c_0_3472_0,axiom,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(X1))) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3472,def_lhs_atom738]) ).

cnf(c_0_3473_0,axiom,
    c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
    inference(unfold_definition,[status(thm)],[c_0_3473,def_lhs_atom729]) ).

cnf(c_0_3474_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3474,def_lhs_atom727]) ).

cnf(c_0_3475_0,axiom,
    c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3475,def_lhs_atom724]) ).

cnf(c_0_3476_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_3476,def_lhs_atom715]) ).

cnf(c_0_3477_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_3477,def_lhs_atom714]) ).

cnf(c_0_3478_0,axiom,
    c_Message_Oanalz(c_Message_Osynth(X1)) = c_union(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3478,def_lhs_atom711]) ).

cnf(c_0_3479_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    inference(unfold_definition,[status(thm)],[c_0_3479,def_lhs_atom710]) ).

cnf(c_0_3480_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    inference(unfold_definition,[status(thm)],[c_0_3480,def_lhs_atom703]) ).

cnf(c_0_3481_0,axiom,
    c_Event_Oknows(X1,c_List_Olist_ONil) = c_Event_OinitState(X1),
    inference(unfold_definition,[status(thm)],[c_0_3481,def_lhs_atom679]) ).

cnf(c_0_3482_0,axiom,
    ~ c_in(X1,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
    inference(unfold_definition,[status(thm)],[c_0_3482,def_lhs_atom665]) ).

cnf(c_0_3483_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OHash(X1),tc_Message_Omsg) = c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3483,def_lhs_atom661]) ).

cnf(c_0_3484_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OKey(X1),tc_Message_Omsg) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3484,def_lhs_atom660]) ).

cnf(c_0_3485_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONonce(X1),tc_Message_Omsg) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3485,def_lhs_atom659]) ).

cnf(c_0_3486_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONumber(X1),tc_Message_Omsg) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3486,def_lhs_atom658]) ).

cnf(c_0_3487_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OAgent(X1),tc_Message_Omsg) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3487,def_lhs_atom657]) ).

cnf(c_0_3488_0,axiom,
    c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3488,def_lhs_atom647]) ).

cnf(c_0_3489_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OFriend(X1),tc_Message_Oagent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3489,def_lhs_atom645]) ).

cnf(c_0_3490_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
    inference(unfold_definition,[status(thm)],[c_0_3490,def_lhs_atom643]) ).

cnf(c_0_3491_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
    inference(unfold_definition,[status(thm)],[c_0_3491,def_lhs_atom642]) ).

cnf(c_0_3492_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
    inference(unfold_definition,[status(thm)],[c_0_3492,def_lhs_atom639]) ).

cnf(c_0_3493_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
    inference(unfold_definition,[status(thm)],[c_0_3493,def_lhs_atom638]) ).

cnf(c_0_3494_0,axiom,
    c_Transitive__Closure_Otrancl(c_emptyset,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3494,def_lhs_atom635]) ).

cnf(c_0_3495_0,axiom,
    c_Transitive__Closure_Ortrancl(c_emptyset,X1) = c_Relation_OId,
    inference(unfold_definition,[status(thm)],[c_0_3495,def_lhs_atom630]) ).

cnf(c_0_3496_0,axiom,
    c_lessequals(c_emptyset,c_emptyset,tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3496,def_lhs_atom623]) ).

cnf(c_0_3497_0,axiom,
    c_Union(c_emptyset,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3497,def_lhs_atom609]) ).

cnf(c_0_3498_0,axiom,
    c_Union(c_UNIV,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3498,def_lhs_atom607]) ).

cnf(c_0_3499_0,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3499,def_lhs_atom601]) ).

cnf(c_0_3500_0,axiom,
    c_Pow(c_emptyset,X1) = c_insert(c_emptyset,c_emptyset,tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3500,def_lhs_atom594]) ).

cnf(c_0_3501_0,axiom,
    c_Pow(c_UNIV,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3501,def_lhs_atom593]) ).

cnf(c_0_3502_0,axiom,
    c_Inter(c_emptyset,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3502,def_lhs_atom590]) ).

cnf(c_0_3503_0,axiom,
    c_Inter(c_UNIV,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3503,def_lhs_atom589]) ).

cnf(c_0_3504_0,axiom,
    c_inter(c_UNIV,c_UNIV,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3504,def_lhs_atom583]) ).

cnf(c_0_3505_0,axiom,
    c_uminus(c_emptyset,tc_set(X1)) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3505,def_lhs_atom576]) ).

cnf(c_0_3506_0,axiom,
    c_uminus(c_UNIV,tc_set(X1)) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3506,def_lhs_atom572]) ).

cnf(c_0_3507_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3507,def_lhs_atom568]) ).

cnf(c_0_3508_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_3508,def_lhs_atom563]) ).

cnf(c_0_3509_0,axiom,
    c_SetInterval_OatLeastLessThan(X1,c_Suc(X1),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3509,def_lhs_atom556]) ).

cnf(c_0_3510_0,axiom,
    c_Relation_Odiag(c_emptyset,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3510,def_lhs_atom551]) ).

cnf(c_0_3511_0,axiom,
    c_Relation_Oconverse(c_Relation_OId,X1,X1) = c_Relation_OId,
    inference(unfold_definition,[status(thm)],[c_0_3511,def_lhs_atom548]) ).

cnf(c_0_3512_0,axiom,
    c_Relation_ORange(c_Relation_OId,X1,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3512,def_lhs_atom545]) ).

cnf(c_0_3513_0,axiom,
    c_Relation_ODomain(c_Relation_OId,X1,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3513,def_lhs_atom537]) ).

cnf(c_0_3514_0,axiom,
    c_Nat_Opower(X1,c_0,tc_nat) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3514,def_lhs_atom531]) ).

cnf(c_0_3515_0,axiom,
    c_less(c_0,c_Nat_Opower(X1,c_0,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3515,def_lhs_atom530]) ).

cnf(c_0_3516_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(X1),c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3516,def_lhs_atom516]) ).

cnf(c_0_3517_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3517,def_lhs_atom515]) ).

cnf(c_0_3518_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3518,def_lhs_atom512]) ).

cnf(c_0_3519_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(X1),c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3519,def_lhs_atom511]) ).

cnf(c_0_3520_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OPls,X1) = c_Numeral_OPls,
    inference(unfold_definition,[status(thm)],[c_0_3520,def_lhs_atom510]) ).

cnf(c_0_3521_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OMin,X1) = c_Numeral_Obin__minus(X1),
    inference(unfold_definition,[status(thm)],[c_0_3521,def_lhs_atom509]) ).

cnf(c_0_3522_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(X1)),c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3522,def_lhs_atom504]) ).

cnf(c_0_3523_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(X1),c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3523,def_lhs_atom503]) ).

cnf(c_0_3524_0,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OPls) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3524,def_lhs_atom502]) ).

cnf(c_0_3525_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OPls,X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3525,def_lhs_atom501]) ).

cnf(c_0_3526_0,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OMin) = c_Numeral_Obin__pred(X1),
    inference(unfold_definition,[status(thm)],[c_0_3526,def_lhs_atom500]) ).

cnf(c_0_3527_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OMin,X1) = c_Numeral_Obin__pred(X1),
    inference(unfold_definition,[status(thm)],[c_0_3527,def_lhs_atom499]) ).

cnf(c_0_3528_0,axiom,
    c_minus(X1,c_0,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3528,def_lhs_atom493]) ).

cnf(c_0_3529_0,axiom,
    c_plus(c_0,X1,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3529,def_lhs_atom491]) ).

cnf(c_0_3530_0,axiom,
    c_times(c_0,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3530,def_lhs_atom489]) ).

cnf(c_0_3531_0,axiom,
    ~ c_less(X1,c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3531,def_lhs_atom487]) ).

cnf(c_0_3532_0,axiom,
    c_times(X1,c_0,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3532,def_lhs_atom479]) ).

cnf(c_0_3533_0,axiom,
    c_Orderings_Omin(X1,c_0,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3533,def_lhs_atom477]) ).

cnf(c_0_3534_0,axiom,
    c_Orderings_Omin(c_0,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3534,def_lhs_atom476]) ).

cnf(c_0_3535_0,axiom,
    c_Orderings_Omax(X1,c_0,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3535,def_lhs_atom474]) ).

cnf(c_0_3536_0,axiom,
    c_Orderings_Omax(c_0,X1,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3536,def_lhs_atom473]) ).

cnf(c_0_3537_0,axiom,
    c_minus(X1,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3537,def_lhs_atom469]) ).

cnf(c_0_3538_0,axiom,
    c_minus(c_0,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3538,def_lhs_atom465]) ).

cnf(c_0_3539_0,axiom,
    c_plus(X1,c_0,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3539,def_lhs_atom462]) ).

cnf(c_0_3540_0,axiom,
    c_0 != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_3540,def_lhs_atom461]) ).

cnf(c_0_3541_0,axiom,
    c_Suc(X1) != c_0,
    inference(unfold_definition,[status(thm)],[c_0_3541,def_lhs_atom460]) ).

cnf(c_0_3542_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3542,def_lhs_atom456]) ).

cnf(c_0_3543_0,axiom,
    c_div(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3543,def_lhs_atom454]) ).

cnf(c_0_3544_0,axiom,
    c_div(c_plus(X1,X1,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3544,def_lhs_atom453]) ).

cnf(c_0_3545_0,axiom,
    c_plus(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3545,def_lhs_atom452]) ).

cnf(c_0_3546_0,axiom,
    c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1,tc_nat) = c_Suc(c_Suc(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3546,def_lhs_atom451]) ).

cnf(c_0_3547_0,axiom,
    c_div(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)),
    inference(unfold_definition,[status(thm)],[c_0_3547,def_lhs_atom448]) ).

cnf(c_0_3548_0,axiom,
    c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) = c_Numeral_Onumber__of(X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3548,def_lhs_atom445]) ).

cnf(c_0_3549_0,axiom,
    c_List_Oupt(X1,c_0) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3549,def_lhs_atom438]) ).

cnf(c_0_3550_0,axiom,
    c_List_Otl(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3550,def_lhs_atom436]) ).

cnf(c_0_3551_0,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3551,def_lhs_atom421]) ).

cnf(c_0_3552_0,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3552,def_lhs_atom421]) ).

cnf(c_0_3553_0,axiom,
    c_List_Orotate1(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3553,def_lhs_atom416]) ).

cnf(c_0_3554_0,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3554,def_lhs_atom290]) ).

cnf(c_0_3555_0,axiom,
    c_List_Oremdups(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3555,def_lhs_atom405]) ).

cnf(c_0_3556_0,axiom,
    c_List_Oremdups(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3556,def_lhs_atom405]) ).

cnf(c_0_3557_0,axiom,
    c_List_Onull(c_List_Olist_ONil,X1),
    inference(unfold_definition,[status(thm)],[c_0_3557,def_lhs_atom400]) ).

cnf(c_0_3558_0,axiom,
    c_List_Olistset(c_List_Olist_ONil,X1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3558,def_lhs_atom345]) ).

cnf(c_0_3559_0,axiom,
    c_List_Olists(c_UNIV,X1) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3559,def_lhs_atom344]) ).

cnf(c_0_3560_0,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3560,def_lhs_atom323]) ).

cnf(c_0_3561_0,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3561,def_lhs_atom319]) ).

cnf(c_0_3562_0,axiom,
    c_List_Odistinct(c_List_Olist_ONil,X1),
    inference(unfold_definition,[status(thm)],[c_0_3562,def_lhs_atom303]) ).

cnf(c_0_3563_0,axiom,
    c_List_Oconcat(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3563,def_lhs_atom300]) ).

cnf(c_0_3564_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3564,def_lhs_atom296]) ).

cnf(c_0_3565_0,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3565,def_lhs_atom289]) ).

cnf(c_0_3566_0,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3566,def_lhs_atom290]) ).

cnf(c_0_3567_0,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    inference(unfold_definition,[status(thm)],[c_0_3567,def_lhs_atom289]) ).

cnf(c_0_3568_0,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3568,def_lhs_atom284]) ).

cnf(c_0_3569_0,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3569,def_lhs_atom281]) ).

cnf(c_0_3570_0,axiom,
    c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3570,def_lhs_atom280]) ).

cnf(c_0_3571_0,axiom,
    c_Divides_Oop_Amod(X1,c_1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3571,def_lhs_atom279]) ).

cnf(c_0_3572_0,axiom,
    c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3572,def_lhs_atom278]) ).

cnf(c_0_3573_0,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3573,def_lhs_atom276]) ).

cnf(c_0_3574_0,axiom,
    c_div(c_0,X1,tc_IntDef_Oint) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3574,def_lhs_atom273]) ).

cnf(c_0_3575_0,axiom,
    c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(X1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3575,def_lhs_atom271]) ).

cnf(c_0_3576_0,axiom,
    c_div(X1,c_1,tc_IntDef_Oint) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3576,def_lhs_atom270]) ).

cnf(c_0_3577_0,axiom,
    c_Nat_Opower(X1,c_0,tc_IntDef_Oint) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3577,def_lhs_atom268]) ).

cnf(c_0_3578_0,axiom,
    c_IntDiv_OposDivAlg(c_Pair(c_0,X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3578,def_lhs_atom267]) ).

cnf(c_0_3579_0,axiom,
    c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3579,def_lhs_atom265]) ).

cnf(c_0_3580_0,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_IntDef_Oint) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3580,def_lhs_atom262]) ).

cnf(c_0_3581_0,axiom,
    c_lessequals(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3581,def_lhs_atom261]) ).

cnf(c_0_3582_0,axiom,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3582,def_lhs_atom260]) ).

cnf(c_0_3583_0,axiom,
    ~ c_IntDef_Oneg(c_IntDef_Oint(X1),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3583,def_lhs_atom259]) ).

cnf(c_0_3584_0,axiom,
    c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3584,def_lhs_atom256]) ).

cnf(c_0_3585_0,axiom,
    c_IntDef_Onat(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3585,def_lhs_atom255]) ).

cnf(c_0_3586_0,axiom,
    c_IntDef_Onat(c_IntDef_Oint(X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3586,def_lhs_atom253]) ).

cnf(c_0_3587_0,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3587,def_lhs_atom251]) ).

cnf(c_0_3588_0,axiom,
    c_IntDef_Oint(c_Suc(X1)) = c_plus(c_1,c_IntDef_Oint(X1),tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3588,def_lhs_atom248]) ).

cnf(c_0_3589_0,axiom,
    c_HOL_Oabs(c_IntDef_Oint(X1),tc_IntDef_Oint) = c_IntDef_Oint(X1),
    inference(unfold_definition,[status(thm)],[c_0_3589,def_lhs_atom245]) ).

cnf(c_0_3590_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,X1,tc_nat,tc_nat)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3590,def_lhs_atom240]) ).

cnf(c_0_3591_0,axiom,
    c_GCD_Ogcd(c_Pair(c_Suc(c_0),X1,tc_nat,tc_nat)) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3591,def_lhs_atom235]) ).

cnf(c_0_3592_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_Suc(c_0),tc_nat,tc_nat)) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3592,def_lhs_atom234]) ).

cnf(c_0_3593_0,axiom,
    c_GCD_Ogcd(c_Pair(c_0,X1,tc_nat,tc_nat)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3593,def_lhs_atom233]) ).

cnf(c_0_3594_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_0,tc_nat,tc_nat)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3594,def_lhs_atom232]) ).

cnf(c_0_3595_0,axiom,
    c_NatArith_Oof__nat(X1,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3595,def_lhs_atom230]) ).

cnf(c_0_3596_0,axiom,
    c_Finite__Set_Ocard(c_emptyset,X1) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3596,def_lhs_atom229]) ).

cnf(c_0_3597_0,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3597,def_lhs_atom217]) ).

cnf(c_0_3598_0,axiom,
    c_Divides_Oop_Amod(X1,c_Suc(c_0),tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3598,def_lhs_atom210]) ).

cnf(c_0_3599_0,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3599,def_lhs_atom209]) ).

cnf(c_0_3600_0,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3600,def_lhs_atom208]) ).

cnf(c_0_3601_0,axiom,
    c_div(X1,c_Suc(c_0),tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3601,def_lhs_atom204]) ).

cnf(c_0_3602_0,axiom,
    c_div(c_0,X1,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3602,def_lhs_atom203]) ).

cnf(c_0_3603_0,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_nat) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3603,def_lhs_atom202]) ).

cnf(c_0_3604_0,axiom,
    c_div(X1,c_0,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3604,def_lhs_atom201]) ).

cnf(c_0_3605_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X1)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3605,def_lhs_atom171]) ).

cnf(c_0_3606_0,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X1) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3606,def_lhs_atom168]) ).

cnf(c_0_3607_0,axiom,
    c_Binomial_Obinomial(X1,X1) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3607,def_lhs_atom165]) ).

cnf(c_0_3608_0,axiom,
    c_Binomial_Obinomial(X1,c_0) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3608,def_lhs_atom164]) ).

cnf(c_0_3609_0,axiom,
    c_Binomial_Obinomial(c_Suc(X1),X1) = c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_3609,def_lhs_atom163]) ).

cnf(c_0_3610_0,axiom,
    c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_3610,def_lhs_atom161]) ).

cnf(c_0_3611_0,axiom,
    c_Binomial_Obinomial(c_0,c_Suc(X1)) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3611,def_lhs_atom160]) ).

cnf(c_0_3612_0,axiom,
    class_Nat_Opower(tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3612,def_lhs_atom159]) ).

cnf(c_0_3613_0,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3613,def_lhs_atom158]) ).

cnf(c_0_3614_0,axiom,
    class_Orderings_Oord(tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3614,def_lhs_atom157]) ).

cnf(c_0_3615_0,axiom,
    class_HOL_Ominus(tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3615,def_lhs_atom156]) ).

cnf(c_0_3616_0,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    inference(unfold_definition,[status(thm)],[c_0_3616,def_lhs_atom37]) ).

cnf(c_0_3617_0,axiom,
    c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3617,def_lhs_atom31]) ).

cnf(c_0_3618_0,axiom,
    c_in(c_SetInterval_OatMost(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3618,def_lhs_atom26]) ).

cnf(c_0_3619_0,axiom,
    c_less(c_0,c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3619,def_lhs_atom21]) ).

cnf(c_0_3620_0,axiom,
    ~ c_less(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3620,def_lhs_atom20]) ).

cnf(c_0_3621_0,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3621,def_lhs_atom19]) ).

cnf(c_0_3622_0,axiom,
    c_lessequals(c_0,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3622,def_lhs_atom18]) ).

cnf(c_0_3623_0,axiom,
    c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3623,def_lhs_atom11]) ).

cnf(c_0_3624_0,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3624,def_lhs_atom10]) ).

cnf(c_0_3625_0,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(unfold_definition,[status(thm)],[c_0_3625,def_lhs_atom5]) ).

cnf(c_0_3626_0,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3626,def_lhs_atom2]) ).

cnf(c_0_3627_0,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3627,def_lhs_atom1]) ).

cnf(c_0_3628_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3628,def_lhs_atom737]) ).

cnf(c_0_3629_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3629,def_lhs_atom736]) ).

cnf(c_0_3630_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    inference(unfold_definition,[status(thm)],[c_0_3630,def_lhs_atom733]) ).

cnf(c_0_3631_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    inference(unfold_definition,[status(thm)],[c_0_3631,def_lhs_atom732]) ).

cnf(c_0_3632_0,axiom,
    c_Message_Oanalz(c_emptyset) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3632,def_lhs_atom702]) ).

cnf(c_0_3633_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    inference(unfold_definition,[status(thm)],[c_0_3633,def_lhs_atom669]) ).

cnf(c_0_3634_0,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    inference(unfold_definition,[status(thm)],[c_0_3634,def_lhs_atom668]) ).

cnf(c_0_3635_0,axiom,
    c_Message_Oparts(c_emptyset) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3635,def_lhs_atom666]) ).

cnf(c_0_3636_0,axiom,
    c_Message_OkeysFor(c_emptyset) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3636,def_lhs_atom649]) ).

cnf(c_0_3637_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3637,def_lhs_atom646]) ).

cnf(c_0_3638_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3638,def_lhs_atom644]) ).

cnf(c_0_3639_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(unfold_definition,[status(thm)],[c_0_3639,def_lhs_atom641]) ).

cnf(c_0_3640_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    inference(unfold_definition,[status(thm)],[c_0_3640,def_lhs_atom640]) ).

cnf(c_0_3641_0,axiom,
    c_UNIV != c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3641,def_lhs_atom595]) ).

cnf(c_0_3642_0,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    inference(unfold_definition,[status(thm)],[c_0_3642,def_lhs_atom569]) ).

cnf(c_0_3643_0,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3643,def_lhs_atom558]) ).

cnf(c_0_3644_0,axiom,
    c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV,
    inference(unfold_definition,[status(thm)],[c_0_3644,def_lhs_atom557]) ).

cnf(c_0_3645_0,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3645,def_lhs_atom529]) ).

cnf(c_0_3646_0,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3646,def_lhs_atom528]) ).

cnf(c_0_3647_0,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3647,def_lhs_atom527]) ).

cnf(c_0_3648_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3648,def_lhs_atom526]) ).

cnf(c_0_3649_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3649,def_lhs_atom525]) ).

cnf(c_0_3650_0,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    inference(unfold_definition,[status(thm)],[c_0_3650,def_lhs_atom522]) ).

cnf(c_0_3651_0,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    inference(unfold_definition,[status(thm)],[c_0_3651,def_lhs_atom521]) ).

cnf(c_0_3652_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3652,def_lhs_atom518]) ).

cnf(c_0_3653_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls,
    inference(unfold_definition,[status(thm)],[c_0_3653,def_lhs_atom517]) ).

cnf(c_0_3654_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin,
    inference(unfold_definition,[status(thm)],[c_0_3654,def_lhs_atom514]) ).

cnf(c_0_3655_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    inference(unfold_definition,[status(thm)],[c_0_3655,def_lhs_atom513]) ).

cnf(c_0_3656_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls,
    inference(unfold_definition,[status(thm)],[c_0_3656,def_lhs_atom506]) ).

cnf(c_0_3657_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    inference(unfold_definition,[status(thm)],[c_0_3657,def_lhs_atom505]) ).

cnf(c_0_3658_0,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls,
    inference(unfold_definition,[status(thm)],[c_0_3658,def_lhs_atom495]) ).

cnf(c_0_3659_0,axiom,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin,
    inference(unfold_definition,[status(thm)],[c_0_3659,def_lhs_atom494]) ).

cnf(c_0_3660_0,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3660,def_lhs_atom488]) ).

cnf(c_0_3661_0,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3661,def_lhs_atom486]) ).

cnf(c_0_3662_0,axiom,
    c_times(c_1,c_1,tc_nat) = c_Suc(c_0),
    inference(unfold_definition,[status(thm)],[c_0_3662,def_lhs_atom483]) ).

cnf(c_0_3663_0,axiom,
    c_less(c_0,c_1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3663,def_lhs_atom472]) ).

cnf(c_0_3664_0,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3664,def_lhs_atom471]) ).

cnf(c_0_3665_0,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3665,def_lhs_atom470]) ).

cnf(c_0_3666_0,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3666,def_lhs_atom464]) ).

cnf(c_0_3667_0,axiom,
    c_1 = c_Suc(c_0),
    inference(unfold_definition,[status(thm)],[c_0_3667,def_lhs_atom458]) ).

cnf(c_0_3668_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3668,def_lhs_atom447]) ).

cnf(c_0_3669_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3669,def_lhs_atom446]) ).

cnf(c_0_3670_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3670,def_lhs_atom394]) ).

cnf(c_0_3671_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3671,def_lhs_atom393]) ).

cnf(c_0_3672_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3672,def_lhs_atom392]) ).

cnf(c_0_3673_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3673,def_lhs_atom391]) ).

cnf(c_0_3674_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3674,def_lhs_atom390]) ).

cnf(c_0_3675_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3675,def_lhs_atom389]) ).

cnf(c_0_3676_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3676,def_lhs_atom388]) ).

cnf(c_0_3677_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3677,def_lhs_atom387]) ).

cnf(c_0_3678_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3678,def_lhs_atom386]) ).

cnf(c_0_3679_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3679,def_lhs_atom385]) ).

cnf(c_0_3680_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3680,def_lhs_atom384]) ).

cnf(c_0_3681_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3681,def_lhs_atom383]) ).

cnf(c_0_3682_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3682,def_lhs_atom382]) ).

cnf(c_0_3683_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3683,def_lhs_atom381]) ).

cnf(c_0_3684_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3684,def_lhs_atom380]) ).

cnf(c_0_3685_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3685,def_lhs_atom379]) ).

cnf(c_0_3686_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3686,def_lhs_atom275]) ).

cnf(c_0_3687_0,axiom,
    c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0),
    inference(unfold_definition,[status(thm)],[c_0_3687,def_lhs_atom257]) ).

cnf(c_0_3688_0,axiom,
    c_IntDef_Onat(c_0) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3688,def_lhs_atom254]) ).

cnf(c_0_3689_0,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3689,def_lhs_atom250]) ).

cnf(c_0_3690_0,axiom,
    c_IntDef_Oint(c_0) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3690,def_lhs_atom249]) ).

cnf(c_0_3691_0,axiom,
    c_IntDef_Oint(c_1) = c_1,
    inference(unfold_definition,[status(thm)],[c_0_3691,def_lhs_atom247]) ).

cnf(c_0_3692_0,axiom,
    c_0 != c_1,
    inference(unfold_definition,[status(thm)],[c_0_3692,def_lhs_atom246]) ).

cnf(c_0_3693_0,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3693,def_lhs_atom244]) ).

cnf(c_0_3694_0,axiom,
    c_IntDef_Onat(c_1) = c_Suc(c_0),
    inference(unfold_definition,[status(thm)],[c_0_3694,def_lhs_atom242]) ).

cnf(c_0_3695_0,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_3695,def_lhs_atom241]) ).

cnf(c_0_3696_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3696,def_lhs_atom228]) ).

cnf(c_0_3697_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3697,def_lhs_atom227]) ).

cnf(c_0_3698_0,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    inference(unfold_definition,[status(thm)],[c_0_3698,def_lhs_atom224]) ).

cnf(c_0_3699_0,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    inference(unfold_definition,[status(thm)],[c_0_3699,def_lhs_atom223]) ).

cnf(c_0_3700_0,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3700,def_lhs_atom207]) ).

cnf(c_0_3701_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3701,def_lhs_atom206]) ).

cnf(c_0_3702_0,axiom,
    c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
    inference(unfold_definition,[status(thm)],[c_0_3702,def_lhs_atom179]) ).

cnf(c_0_3703_0,axiom,
    class_HOL_Ominus(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3703,def_lhs_atom155]) ).

cnf(c_0_3704_0,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3704,def_lhs_atom154]) ).

cnf(c_0_3705_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3705,def_lhs_atom153]) ).

cnf(c_0_3706_0,axiom,
    class_LOrder_Olorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3706,def_lhs_atom152]) ).

cnf(c_0_3707_0,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3707,def_lhs_atom151]) ).

cnf(c_0_3708_0,axiom,
    class_Parity_Oeven__odd(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3708,def_lhs_atom150]) ).

cnf(c_0_3709_0,axiom,
    class_Numeral_Onumber(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3709,def_lhs_atom149]) ).

cnf(c_0_3710_0,axiom,
    class_Power_Orecpower(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3710,def_lhs_atom148]) ).

cnf(c_0_3711_0,axiom,
    class_Divides_Odiv(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3711,def_lhs_atom147]) ).

cnf(c_0_3712_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3712,def_lhs_atom146]) ).

cnf(c_0_3713_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3713,def_lhs_atom145]) ).

cnf(c_0_3714_0,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3714,def_lhs_atom144]) ).

cnf(c_0_3715_0,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3715,def_lhs_atom143]) ).

cnf(c_0_3716_0,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3716,def_lhs_atom142]) ).

cnf(c_0_3717_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3717,def_lhs_atom141]) ).

cnf(c_0_3718_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3718,def_lhs_atom140]) ).

cnf(c_0_3719_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3719,def_lhs_atom139]) ).

cnf(c_0_3720_0,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3720,def_lhs_atom138]) ).

cnf(c_0_3721_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3721,def_lhs_atom137]) ).

cnf(c_0_3722_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3722,def_lhs_atom136]) ).

cnf(c_0_3723_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3723,def_lhs_atom135]) ).

cnf(c_0_3724_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3724,def_lhs_atom134]) ).

cnf(c_0_3725_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3725,def_lhs_atom133]) ).

cnf(c_0_3726_0,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3726,def_lhs_atom132]) ).

cnf(c_0_3727_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3727,def_lhs_atom131]) ).

cnf(c_0_3728_0,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3728,def_lhs_atom130]) ).

cnf(c_0_3729_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3729,def_lhs_atom129]) ).

cnf(c_0_3730_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3730,def_lhs_atom128]) ).

cnf(c_0_3731_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3731,def_lhs_atom127]) ).

cnf(c_0_3732_0,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3732,def_lhs_atom126]) ).

cnf(c_0_3733_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3733,def_lhs_atom125]) ).

cnf(c_0_3734_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3734,def_lhs_atom124]) ).

cnf(c_0_3735_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3735,def_lhs_atom123]) ).

cnf(c_0_3736_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3736,def_lhs_atom122]) ).

cnf(c_0_3737_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3737,def_lhs_atom121]) ).

cnf(c_0_3738_0,axiom,
    class_Orderings_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3738,def_lhs_atom120]) ).

cnf(c_0_3739_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3739,def_lhs_atom119]) ).

cnf(c_0_3740_0,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3740,def_lhs_atom118]) ).

cnf(c_0_3741_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3741,def_lhs_atom117]) ).

cnf(c_0_3742_0,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3742,def_lhs_atom116]) ).

cnf(c_0_3743_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3743,def_lhs_atom115]) ).

cnf(c_0_3744_0,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3744,def_lhs_atom114]) ).

cnf(c_0_3745_0,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3745,def_lhs_atom113]) ).

cnf(c_0_3746_0,axiom,
    class_Nat_Opower(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3746,def_lhs_atom112]) ).

cnf(c_0_3747_0,axiom,
    class_HOL_Otimes(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3747,def_lhs_atom111]) ).

cnf(c_0_3748_0,axiom,
    class_HOL_Oplus(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3748,def_lhs_atom110]) ).

cnf(c_0_3749_0,axiom,
    class_HOL_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3749,def_lhs_atom109]) ).

cnf(c_0_3750_0,axiom,
    class_HOL_Oone(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3750,def_lhs_atom108]) ).

cnf(c_0_3751_0,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_3751,def_lhs_atom106]) ).

cnf(c_0_3752_0,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(unfold_definition,[status(thm)],[c_0_3752,def_lhs_atom105]) ).

cnf(c_0_3753_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3753,def_lhs_atom104]) ).

cnf(c_0_3754_0,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3754,def_lhs_atom103]) ).

cnf(c_0_3755_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3755,def_lhs_atom102]) ).

cnf(c_0_3756_0,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3756,def_lhs_atom101]) ).

cnf(c_0_3757_0,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3757,def_lhs_atom100]) ).

cnf(c_0_3758_0,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3758,def_lhs_atom99]) ).

cnf(c_0_3759_0,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3759,def_lhs_atom98]) ).

cnf(c_0_3760_0,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3760,def_lhs_atom97]) ).

cnf(c_0_3761_0,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3761,def_lhs_atom96]) ).

cnf(c_0_3762_0,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3762,def_lhs_atom95]) ).

cnf(c_0_3763_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3763,def_lhs_atom94]) ).

cnf(c_0_3764_0,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3764,def_lhs_atom93]) ).

cnf(c_0_3765_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3765,def_lhs_atom92]) ).

cnf(c_0_3766_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3766,def_lhs_atom91]) ).

cnf(c_0_3767_0,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3767,def_lhs_atom90]) ).

cnf(c_0_3768_0,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3768,def_lhs_atom89]) ).

cnf(c_0_3769_0,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3769,def_lhs_atom88]) ).

cnf(c_0_3770_0,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3770,def_lhs_atom87]) ).

cnf(c_0_3771_0,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3771,def_lhs_atom86]) ).

cnf(c_0_3772_0,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3772,def_lhs_atom85]) ).

cnf(c_0_3773_0,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3773,def_lhs_atom84]) ).

cnf(c_0_3774_0,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3774,def_lhs_atom83]) ).

cnf(c_0_3775_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3775,def_lhs_atom82]) ).

cnf(c_0_3776_0,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3776,def_lhs_atom81]) ).

cnf(c_0_3777_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3777,def_lhs_atom80]) ).

cnf(c_0_3778_0,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3778,def_lhs_atom79]) ).

cnf(c_0_3779_0,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3779,def_lhs_atom78]) ).

cnf(c_0_3780_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3780,def_lhs_atom77]) ).

cnf(c_0_3781_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3781,def_lhs_atom76]) ).

cnf(c_0_3782_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3782,def_lhs_atom75]) ).

cnf(c_0_3783_0,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3783,def_lhs_atom74]) ).

cnf(c_0_3784_0,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3784,def_lhs_atom73]) ).

cnf(c_0_3785_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3785,def_lhs_atom72]) ).

cnf(c_0_3786_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3786,def_lhs_atom71]) ).

cnf(c_0_3787_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3787,def_lhs_atom70]) ).

cnf(c_0_3788_0,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3788,def_lhs_atom69]) ).

cnf(c_0_3789_0,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3789,def_lhs_atom68]) ).

cnf(c_0_3790_0,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3790,def_lhs_atom67]) ).

cnf(c_0_3791_0,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3791,def_lhs_atom66]) ).

cnf(c_0_3792_0,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3792,def_lhs_atom65]) ).

cnf(c_0_3793_0,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3793,def_lhs_atom64]) ).

cnf(c_0_3794_0,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3794,def_lhs_atom63]) ).

cnf(c_0_3795_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3795,def_lhs_atom62]) ).

cnf(c_0_3796_0,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3796,def_lhs_atom61]) ).

cnf(c_0_3797_0,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3797,def_lhs_atom60]) ).

cnf(c_0_3798_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3798,def_lhs_atom59]) ).

cnf(c_0_3799_0,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3799,def_lhs_atom58]) ).

cnf(c_0_3800_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3800,def_lhs_atom57]) ).

cnf(c_0_3801_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3801,def_lhs_atom56]) ).

cnf(c_0_3802_0,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3802,def_lhs_atom55]) ).

cnf(c_0_3803_0,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3803,def_lhs_atom54]) ).

cnf(c_0_3804_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3804,def_lhs_atom53]) ).

cnf(c_0_3805_0,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3805,def_lhs_atom52]) ).

cnf(c_0_3806_0,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3806,def_lhs_atom51]) ).

cnf(c_0_3807_0,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3807,def_lhs_atom50]) ).

cnf(c_0_3808_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3808,def_lhs_atom49]) ).

cnf(c_0_3809_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3809,def_lhs_atom48]) ).

cnf(c_0_3810_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3810,def_lhs_atom47]) ).

cnf(c_0_3811_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3811,def_lhs_atom46]) ).

cnf(c_0_3812_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3812,def_lhs_atom45]) ).

cnf(c_0_3813_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3813,def_lhs_atom44]) ).

cnf(c_0_3814_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3814,def_lhs_atom43]) ).

cnf(c_0_3815_0,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3815,def_lhs_atom42]) ).

cnf(c_0_3816_0,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3816,def_lhs_atom41]) ).

cnf(c_0_3817_0,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    inference(unfold_definition,[status(thm)],[c_0_3817,def_lhs_atom40]) ).

cnf(c_0_3818_0,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3818,def_lhs_atom39]) ).

cnf(c_0_3819_0,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_3819,def_lhs_atom38]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_Orel__compE__2(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__3(X48,X95,X97,X96,X51,X50),X96,X51),X48,tc_prod(X96,X51)) ),
    file('<stdin>',cls_Relation_Orel__compE_0) ).

fof(c_0_1_002,axiom,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_Orel__compE__1(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__2(X48,X95,X97,X96,X51,X50),X50,X96),X95,tc_prod(X50,X96)) ),
    file('<stdin>',cls_Relation_Orel__compE_1) ).

fof(c_0_2_003,axiom,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | X97 = c_Pair(c_Main_Orel__compE__1(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__3(X48,X95,X97,X96,X51,X50),X50,X51) ),
    file('<stdin>',cls_Relation_Orel__compE_2) ).

fof(c_0_3_004,axiom,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X26 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X26,X48,X95,X50,X51),c_Main_OdprodE__2(X26,X48,X95,X50,X51),X50,X51),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X26,X48,X95,X50,X51),c_Main_OdprodE__4(X26,X48,X95,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OdprodE_0) ).

fof(c_0_4_005,axiom,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | X7 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X12,X8,X14,X7)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(v_sko__2Va(X12,X8,X14,X7),c_Message_Omsg_ONonce(X14))))),v_sko__2Vb(X12,X8,X14,X7)) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Says_1) ).

fof(c_0_5_006,axiom,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdprodE__2(X26,X48,X95,X50,X51),c_Main_OdprodE__4(X26,X48,X95,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_OdprodE_1) ).

fof(c_0_6_007,axiom,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdprodE__1(X26,X48,X95,X50,X51),c_Main_OdprodE__3(X26,X48,X95,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_OdprodE_2) ).

fof(c_0_7_008,axiom,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__1(X48,X60,X50,X51),c_Main_OdsumE__2(X48,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__3(X95,X60,X50,X51),c_Main_OdsumE__4(X95,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_OdsumE_3) ).

fof(c_0_8_009,axiom,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__3(X95,X60,X50,X51),c_Main_OdsumE__4(X95,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X48,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X48,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OdsumE_1) ).

fof(c_0_9_010,axiom,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__1(X48,X60,X50,X51),c_Main_OdsumE__2(X48,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X95,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X95,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OdsumE_2) ).

fof(c_0_10_011,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X65,c_Main_Olistrel__Cons1__2(X48,X66,X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_Olistrel__Cons1_1) ).

fof(c_0_11_012,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X48,X66,X25,X65,X50),X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_Olistrel__Cons2_1) ).

fof(c_0_12_013,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X12 = X11 ),
    file('<stdin>',cls_Yahalom_Ounique__session__keys__dest_0) ).

fof(c_0_13_014,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X10 = X9 ),
    file('<stdin>',cls_Yahalom_Ounique__session__keys__dest_1) ).

fof(c_0_14_015,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X4 = X3 ),
    file('<stdin>',cls_Yahalom_Ounique__session__keys__dest_2) ).

fof(c_0_15_016,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X2 = X1 ),
    file('<stdin>',cls_Yahalom_Ounique__session__keys__dest_3) ).

fof(c_0_16_017,axiom,
    ! [X95,X48,X83,X30,X84,X85,X51,X50] :
      ( ~ c_in(c_Pair(X30,X83,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | ~ c_in(c_Pair(X85,X84,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OScons(X85,X30,X50,X51),c_Datatype__Universe_OScons(X84,X83,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_OdprodI_0) ).

fof(c_0_17_018,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X25,c_Main_Olistrel__Cons1__1(X48,X66,X25,X65,X50),X50,X50),X48,tc_prod(X50,X50)) ),
    file('<stdin>',cls_List_Olistrel__Cons1_2) ).

fof(c_0_18_019,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X48,X66,X25,X65,X50),X25,X50,X50),X48,tc_prod(X50,X50)) ),
    file('<stdin>',cls_List_Olistrel__Cons2_2) ).

fof(c_0_19_020,axiom,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X48,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X48,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X60 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X95,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X95,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OdsumE_0) ).

fof(c_0_20_021,axiom,
    ! [X48,X27,X12,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,X12,X51,X50),X50)
      | c_in(c_Pair(c_Main_OImageE__1(X12,X27,X48,X51,X50),X27,X51,X50),X48,tc_prod(X51,X50)) ),
    file('<stdin>',cls_Relation_OImageE_1) ).

fof(c_0_21_022,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X48,X66,X25,X65,X50),c_Main_Olistrel__Cons1__2(X48,X66,X25,X65,X50),X50) ),
    file('<stdin>',cls_List_Olistrel__Cons1_0) ).

fof(c_0_22_023,axiom,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X48,X66,X25,X65,X50),c_Main_Olistrel__Cons2__2(X48,X66,X25,X65,X50),X50) ),
    file('<stdin>',cls_List_Olistrel__Cons2_0) ).

fof(c_0_23_024,axiom,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X26 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X10,X26,X50,X51),c_Main_OuprodE__2(X12,X10,X26,X50,X51),X50,X51) ),
    file('<stdin>',cls_Datatype__Universe_OuprodE_0) ).

fof(c_0_24_025,axiom,
    ! [X2,X4,X5,X8,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OKey(X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OKey(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X10,c_Event_Obad,tc_Message_Oagent)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X8)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).

fof(c_0_25_026,axiom,
    ! [X4,X5,X7,X13,X14,X15,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X15),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X13))))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X15),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X14 = X13
      | X15 = c_Public_OshrK(v_sko__2VY(X15)) ),
    file('<stdin>',cls_Yahalom_Osingle__Nonce__secrecy_0) ).

fof(c_0_26_027,axiom,
    ! [X95,X48,X26,X27,X49,X96,X51,X50] :
      ( ~ c_in(c_Pair(X27,X26,X51,X96),X48,tc_prod(X51,X96))
      | ~ c_in(c_Pair(X49,X27,X50,X51),X95,tc_prod(X50,X51))
      | c_in(c_Pair(X49,X26,X50,X96),c_Relation_Orel__comp(X48,X95,X51,X96,X50),tc_prod(X50,X96)) ),
    file('<stdin>',cls_Relation_Orel__compI_0) ).

fof(c_0_27_028,axiom,
    ! [X4,X5,X7,X13,X14,X15,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X15),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X13))))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X15),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg)),tc_Message_Omsg)
      | X14 = X13
      | X15 = c_Public_OshrK(v_sko__2VY(X15)) ),
    file('<stdin>',cls_Yahalom_Osingle__Nonce__secrecy_1) ).

fof(c_0_28_029,axiom,
    ! [X25,X23,X61,X56] :
      ( ~ c_in(c_Pair(c_Pair(X23,X25,tc_nat,tc_nat),c_Pair(X56,X61,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_plus(X23,X61,tc_nat) = c_plus(X56,X25,tc_nat) ),
    file('<stdin>',cls_IntDef_Ointrel__iff_0) ).

fof(c_0_29_030,axiom,
    ! [X2,X4,X21,X5,X7,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(X4,X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Yahalom_OSays__Server__imp__YM2_0) ).

fof(c_0_30_031,axiom,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X18 = X19 ),
    file('<stdin>',cls_Yahalom_OSays__unique__NB_0) ).

fof(c_0_31_032,axiom,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X11 = X12 ),
    file('<stdin>',cls_Yahalom_OSays__unique__NB_1) ).

fof(c_0_32_033,axiom,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X9 = X10 ),
    file('<stdin>',cls_Yahalom_OSays__unique__NB_2) ).

fof(c_0_33_034,axiom,
    ! [X23,X2,X4,X5,X7,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X23)),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Yahalom_OSays__Server__not__shrK_0) ).

fof(c_0_34_035,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    file('<stdin>',cls_IntDiv_OnegDivAlg__eqn__number__of_1) ).

fof(c_0_35_036,axiom,
    ! [X2,X4,X5,X8,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OKey(X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Yahalom_OA__trusts__YM3_0) ).

fof(c_0_36_037,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    file('<stdin>',cls_IntDiv_OposDivAlg__eqn__number__of_1) ).

fof(c_0_37_038,axiom,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    file('<stdin>',cls_IntDiv_OnegDivAlg__eqn__1__number__of_1) ).

fof(c_0_38_039,axiom,
    ! [X95,X48,X84,X85,X51,X50] :
      ( ~ c_in(c_Pair(X85,X84,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OIn0(X85,X50,X51),c_Datatype__Universe_OIn0(X84,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_Odsum__In0I_0) ).

fof(c_0_39_040,axiom,
    ! [X95,X48,X83,X30,X51,X50] :
      ( ~ c_in(c_Pair(X30,X83,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OIn1(X30,X50,X51),c_Datatype__Universe_OIn1(X83,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    file('<stdin>',cls_Datatype__Universe_Odsum__In1I_0) ).

fof(c_0_40_041,axiom,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    file('<stdin>',cls_IntDiv_OposDivAlg__eqn__1__number__of_1) ).

fof(c_0_41_042,axiom,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OuprodE__2(X12,X10,X26,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OuprodE_1) ).

fof(c_0_42_043,axiom,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OuprodE__1(X12,X10,X26,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OuprodE_2) ).

fof(c_0_43_044,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__neg__neg__number__of_0) ).

fof(c_0_44_045,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__pos__neg__number__of_0) ).

fof(c_0_45_046,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__neg__neg__number__of_0) ).

fof(c_0_46_047,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__pos__neg__number__of_0) ).

fof(c_0_47_048,axiom,
    ! [X48,X27,X12,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,X12,X51,X50),X50)
      | c_in(c_Main_OImageE__1(X12,X27,X48,X51,X50),X12,X51) ),
    file('<stdin>',cls_Relation_OImageE_0) ).

fof(c_0_48_049,axiom,
    ! [X60] :
      ( ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__pos__neg__1__number__of_0) ).

fof(c_0_49_050,axiom,
    ! [X60] :
      ( ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__pos__neg__1__number__of_0) ).

fof(c_0_50_051,axiom,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_OCons__in__lex_1) ).

fof(c_0_51_052,axiom,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X23,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_Olexord__cons__cons_1) ).

fof(c_0_52_053,axiom,
    ! [X25,X23,X61,X56] :
      ( c_plus(X23,X61,tc_nat) != c_plus(X56,X25,tc_nat)
      | c_in(c_Pair(c_Pair(X23,X25,tc_nat,tc_nat),c_Pair(X56,X61,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    file('<stdin>',cls_IntDef_Ointrel__iff_1) ).

fof(c_0_53_054,axiom,
    ! [X98,X48,X51,X50] :
      ( ~ c_in(X98,c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_OconverseE__1(X48,X98,X51,X50),c_Main_OconverseE__2(X48,X98,X51,X50),X51,X50),X48,tc_prod(X51,X50)) ),
    file('<stdin>',cls_Relation_OconverseE_0) ).

fof(c_0_54_055,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | ~ c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert_1) ).

fof(c_0_55_056,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | ~ c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Wellfounded__Recursion_Owf__insert_1) ).

fof(c_0_56_057,axiom,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) = c_Nat_Osize(X65,tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_OCons__in__lex_3) ).

fof(c_0_57_058,axiom,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | X23 = X25 ),
    file('<stdin>',cls_List_OCons__in__lex_0) ).

fof(c_0_58_059,axiom,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | X49 = X27 ),
    file('<stdin>',cls_List_Olexord__cons__cons_0) ).

fof(c_0_59_060,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__1(X12,X56,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__2(X10,X56,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OusumE_3) ).

fof(c_0_60_061,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__2(X10,X56,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X56,X50,X51),X50,X51) ),
    file('<stdin>',cls_Datatype__Universe_OusumE_1) ).

fof(c_0_61_062,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__1(X12,X56,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X10,X56,X50,X51),X50,X51) ),
    file('<stdin>',cls_Datatype__Universe_OusumE_2) ).

fof(c_0_62_063,axiom,
    ! [X65,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X23,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_OCons__in__lex_5) ).

fof(c_0_63_064,axiom,
    ! [X25,X75,X23,X48,X50] :
      ( ~ c_in(c_Pair(X75,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X75,X50),c_List_Olist_OCons(X23,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_Olexord__cons__cons_3) ).

fof(c_0_64_065,axiom,
    ! [X25,X23] :
      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X23,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X25,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
      | c_in(c_Pair(X23,X25,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    file('<stdin>',cls_IntDef_Oequiv__intrel__iff_0) ).

fof(c_0_65_066,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X56,X50,X51),X50,X51)
      | X56 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X10,X56,X50,X51),X50,X51) ),
    file('<stdin>',cls_Datatype__Universe_OusumE_0) ).

fof(c_0_66_067,axiom,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_OCons__in__lex_4) ).

fof(c_0_67_068,axiom,
    ! [X25,X23] :
      ( ~ c_in(c_Pair(X23,X25,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X23,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X25,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    file('<stdin>',cls_IntDef_Oequiv__intrel__iff_1) ).

fof(c_0_68_069,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | X56 = c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X56,X50,X51),X50,X51)
      | X56 = c_Sum__Type_OInr(c_Main_OPlusE__2(X10,X56,X51,X50),X51,X50) ),
    file('<stdin>',cls_Sum__Type_OPlusE_0) ).

fof(c_0_69_070,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__2(X10,X56,X51,X50),X10,X51)
      | X56 = c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X56,X50,X51),X50,X51) ),
    file('<stdin>',cls_Sum__Type_OPlusE_1) ).

fof(c_0_70_071,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__1(X12,X56,X50,X51),X12,X50)
      | X56 = c_Sum__Type_OInr(c_Main_OPlusE__2(X10,X56,X51,X50),X51,X50) ),
    file('<stdin>',cls_Sum__Type_OPlusE_2) ).

fof(c_0_71_072,axiom,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__1(X12,X56,X50,X51),X12,X50)
      | c_in(c_Main_OPlusE__2(X10,X56,X51,X50),X10,X51) ),
    file('<stdin>',cls_Sum__Type_OPlusE_3) ).

fof(c_0_72_073,axiom,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    file('<stdin>',cls_List_Olexord__cons__cons_2) ).

fof(c_0_73_074,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_Wellfounded__Recursion_Oacyclic(X48,X50) ),
    file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert_0) ).

fof(c_0_74_075,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_Wellfounded__Recursion_Owf(X48,X50) ),
    file('<stdin>',cls_Wellfounded__Recursion_Owf__insert_0) ).

fof(c_0_75_076,axiom,
    ! [X48,X49,X51,X50] :
      ( ~ c_in(X49,c_Relation_ODomain(X48,X50,X51),X50)
      | c_in(c_Pair(X49,c_Main_ODomainE__1(X49,X48,X50,X51),X50,X51),X48,tc_prod(X50,X51)) ),
    file('<stdin>',cls_Relation_ODomainE_0) ).

fof(c_0_76_077,axiom,
    ! [X48,X27,X51,X50] :
      ( ~ c_in(X27,c_Relation_ORange(X48,X51,X50),X50)
      | c_in(c_Pair(c_Main_ORangeE__1(X27,X48,X50,X51),X27,X51,X50),X48,tc_prod(X51,X50)) ),
    file('<stdin>',cls_Relation_ORangeE_0) ).

fof(c_0_77_078,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X48,X50)
      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__insert_2) ).

fof(c_0_78_079,axiom,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Wellfounded__Recursion_Owf__insert_2) ).

fof(c_0_79_080,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,c_insert(X49,c_emptyset,X51),X51,X50),X50)
      | c_in(c_Pair(X49,X27,X51,X50),X48,tc_prod(X51,X50)) ),
    file('<stdin>',cls_Relation_OImage__singleton__iff_0) ).

fof(c_0_80_081,axiom,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X23 = X25
      | c_Nat_Osize(X66,tc_List_Olist(X50)) = c_Nat_Osize(X65,tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_OCons__in__lex_2) ).

fof(c_0_81_082,axiom,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X21,X54,tc_nat) ),
    file('<stdin>',cls_GCD_Ogcd__greatest__iff_0) ).

fof(c_0_82_083,axiom,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X21,X53,tc_nat) ),
    file('<stdin>',cls_GCD_Ogcd__greatest__iff_1) ).

fof(c_0_83_084,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X51,X50),X48,tc_prod(X51,X50))
      | c_in(X27,c_Relation_OImage(X48,c_insert(X49,c_emptyset,X51),X51,X50),X50) ),
    file('<stdin>',cls_Relation_OImage__singleton__iff_1) ).

fof(c_0_84_085,axiom,
    ! [X65,X66,X67,X68,X51,X50] :
      ( c_Nat_Osize(X65,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X51))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X68,tc_List_Olist(X51))
      | c_List_Ozip(c_append(X66,X65,X50),c_append(X68,X67,X51),X50,X51) = c_append(c_List_Ozip(X66,X68,X50,X51),c_List_Ozip(X65,X67,X50,X51),tc_prod(X50,X51)) ),
    file('<stdin>',cls_List_Ozip__append_0) ).

fof(c_0_85_086,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(X27,X49,X51,X50),X48,tc_prod(X51,X50)) ),
    file('<stdin>',cls_Relation_Oconverse__iff_0) ).

fof(c_0_86_087,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X27,X49,X51,X50),X48,tc_prod(X51,X50))
      | c_in(c_Pair(X49,X27,X50,X51),c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51)) ),
    file('<stdin>',cls_Relation_Oconverse__iff_1) ).

fof(c_0_87_088,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_OnegDivAlg__eqn__number__of_0) ).

fof(c_0_88_089,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__neg__pos__number__of_0) ).

fof(c_0_89_090,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__pos__pos__number__of_0) ).

fof(c_0_90_091,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__neg__pos__number__of_0) ).

fof(c_0_91_092,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__pos__pos__number__of_0) ).

fof(c_0_92_093,axiom,
    ! [X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Otrancl(X48,X50),tc_prod(X50,X50))
      | c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).

fof(c_0_93_094,axiom,
    ! [X48,X27,X49,X12,X51,X50] :
      ( ~ c_in(X49,X12,X50)
      | ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X27,c_Relation_OImage(X48,X12,X50,X51),X51) ),
    file('<stdin>',cls_Relation_OImageI_0) ).

fof(c_0_94_095,axiom,
    ! [X98,X48,X51,X50] :
      ( ~ c_in(X98,c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | X98 = c_Pair(c_Main_OconverseE__2(X48,X98,X51,X50),c_Main_OconverseE__1(X48,X98,X51,X50),X50,X51) ),
    file('<stdin>',cls_Relation_OconverseE_1) ).

fof(c_0_95_096,axiom,
    ! [X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Otrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).

fof(c_0_96_097,axiom,
    ! [X30,X85,X10,X12,X51,X50] :
      ( ~ c_in(X30,X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | ~ c_in(X85,X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OScons(X85,X30,X50,X51),c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_OuprodI_0) ).

fof(c_0_97_098,axiom,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_OnegDivAlg__eqn__1__number__of_0) ).

fof(c_0_98_099,axiom,
    ! [X1,X4,X5,X14,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X14)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('<stdin>',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).

fof(c_0_99_100,axiom,
    ! [X65,X66,X23,X51,X50] :
      ( ~ c_in(X23,c_List_Oset(X66,X50),X50)
      | c_Map_Omap__of(c_List_Ozip(X66,X65,X50,X51),X23,X50,X51) != c_Datatype_Ooption_ONone
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X51)) ),
    file('<stdin>',cls_Map_Omap__of__zip__is__None_0) ).

fof(c_0_100_101,axiom,
    ! [X65,X66,X52,X51,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X65,tc_List_Olist(X51)),tc_nat)
      | ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Ozip(X66,X65,X50,X51),X52,tc_prod(X50,X51)) = c_Pair(c_List_Onth(X66,X52,X50),c_List_Onth(X65,X52,X51),X50,X51) ),
    file('<stdin>',cls_List_Onth__zip_0) ).

fof(c_0_101_102,axiom,
    ! [X60] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odiv__pos__pos__1__number__of_0) ).

fof(c_0_102_103,axiom,
    ! [X60] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Omod__pos__pos__1__number__of_0) ).

fof(c_0_103_104,axiom,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,X53,tc_nat)
      | ~ c_Divides_Oop_Advd(X21,X54,tc_nat)
      | c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat) ),
    file('<stdin>',cls_GCD_Ogcd__greatest__iff_2) ).

fof(c_0_104_105,axiom,
    ! [X25,X66,X23,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Olist__update(c_List_Olist__update(X66,X52,X23,X50),X52,X25,X50) = c_List_Olist__update(X66,X52,X25,X50) ),
    file('<stdin>',cls_List_Olist__update__overwrite_0) ).

fof(c_0_105_106,axiom,
    ! [X25,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X25 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X25,X50),c_Main_Olexord__Nil__left__2(X25,X50),X50) ),
    file('<stdin>',cls_List_Olexord__Nil__left_0) ).

fof(c_0_106_107,axiom,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_OposDivAlg__eqn__number__of_0) ).

fof(c_0_107_108,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X49,c_Relation_ODomain(X48,X50,X51),X50) ),
    file('<stdin>',cls_Relation_ODomainI_0) ).

fof(c_0_108_109,axiom,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X27,c_Relation_ORange(X48,X50,X51),X51) ),
    file('<stdin>',cls_Relation_ORangeI_0) ).

fof(c_0_109_110,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_8) ).

fof(c_0_110_111,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_8) ).

fof(c_0_111_112,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_8) ).

fof(c_0_112_113,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_8) ).

fof(c_0_113_114,axiom,
    ! [X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Olistrel__Nil1_0) ).

fof(c_0_114_115,axiom,
    ! [X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_ONil,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Olistrel__Nil2_0) ).

fof(c_0_115_116,axiom,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_OposDivAlg__eqn__1__number__of_0) ).

fof(c_0_116_117,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_0,X49,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_9) ).

fof(c_0_117_118,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,X49,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_9) ).

fof(c_0_118_119,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_9) ).

fof(c_0_119_120,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_9) ).

fof(c_0_120_121,axiom,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Nat_Opower(c_uminus(X49,X50),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X53,tc_nat),X50) = c_Nat_Opower(X49,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X53,tc_nat),X50) ),
    file('<stdin>',cls_NatBin_Opower__minus__even_0) ).

fof(c_0_121_122,axiom,
    ! [X25,X23] :
      ( ~ c_in(c_Pair(X23,X25,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
      | c_less(X23,X25,tc_nat) ),
    file('<stdin>',cls_Wellfounded__Relations_Oless__than__iff_0) ).

fof(c_0_122_123,axiom,
    ! [X48,X49,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | ~ c_in(c_Pair(X49,X49,X50,X50),X48,tc_prod(X50,X50)) ),
    file('<stdin>',cls_Wellfounded__Recursion_Owf__not__refl_0) ).

fof(c_0_123_124,axiom,
    ! [X54] :
      ( ~ c_less(c_0,c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
      | c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
    file('<stdin>',cls_NatSimprocs_Omod2__gr__0_0) ).

fof(c_0_124_125,axiom,
    ! [X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),c_Relation_OId,tc_prod(X50,X50))
      | X49 = X27 ),
    file('<stdin>',cls_Relation_Opair__in__Id__conv_0) ).

fof(c_0_125_126,axiom,
    ! [X85,X10,X12,X51,X50] :
      ( ~ c_in(X85,X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OIn0(X85,X50,X51),c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_Ousum__In0I_0) ).

fof(c_0_126_127,axiom,
    ! [X30,X10,X12,X51,X50] :
      ( ~ c_in(X30,X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OIn1(X30,X50,X51),c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    file('<stdin>',cls_Datatype__Universe_Ousum__In1I_0) ).

fof(c_0_127_128,axiom,
    ! [X65,X66,X23,X51,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X51))
      | c_in(X23,c_List_Oset(X66,X50),X50)
      | c_Map_Omap__of(c_List_Ozip(X66,X65,X50,X51),X23,X50,X51) = c_Datatype_Ooption_ONone ),
    file('<stdin>',cls_Map_Omap__of__zip__is__None_1) ).

fof(c_0_128_129,axiom,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(c_minus(X12,c_insert(X49,X10,X50),tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X12,X10,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Diff__insert_0) ).

fof(c_0_129_130,axiom,
    ! [X83,X30,X84,X85,X51,X50] :
      ( c_Datatype__Universe_OScons(X85,X30,X50,X51) != c_Datatype__Universe_OScons(X84,X83,X50,X51)
      | X85 = X84 ),
    file('<stdin>',cls_Datatype__Universe_OScons__Scons__eq_0) ).

fof(c_0_130_131,axiom,
    ! [X83,X30,X84,X85,X51,X50] :
      ( c_Datatype__Universe_OScons(X85,X30,X50,X51) != c_Datatype__Universe_OScons(X84,X83,X50,X51)
      | X30 = X83 ),
    file('<stdin>',cls_Datatype__Universe_OScons__Scons__eq_1) ).

fof(c_0_131_132,axiom,
    ! [X58,X27,X59,X49,X51,X50] :
      ( c_Pair(X49,X27,X50,X51) != c_Pair(X59,X58,X50,X51)
      | X49 = X59 ),
    file('<stdin>',cls_Product__Type_OPair__eq_0) ).

fof(c_0_132_133,axiom,
    ! [X58,X27,X59,X49,X51,X50] :
      ( c_Pair(X49,X27,X50,X51) != c_Pair(X59,X58,X50,X51)
      | X27 = X58 ),
    file('<stdin>',cls_Product__Type_OPair__eq_1) ).

fof(c_0_133_134,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(X49,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_0) ).

fof(c_0_134_135,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(X27,X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_1) ).

fof(c_0_135_136,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(X49,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_0) ).

fof(c_0_136_137,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(X27,X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_1) ).

fof(c_0_137_138,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(X49,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_0) ).

fof(c_0_138_139,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_less(X27,X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_1) ).

fof(c_0_139_140,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(X49,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_0) ).

fof(c_0_140_141,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_less(X27,X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_1) ).

fof(c_0_141_142,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_1) ).

fof(c_0_142_143,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_4) ).

fof(c_0_143_144,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_1) ).

fof(c_0_144_145,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_4) ).

fof(c_0_145_146,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_1) ).

fof(c_0_146_147,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_4) ).

fof(c_0_147_148,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_1) ).

fof(c_0_148_149,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_4) ).

fof(c_0_149_150,axiom,
    ! [X54] :
      ( c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
      | c_less(c_0,c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    file('<stdin>',cls_NatSimprocs_Omod2__gr__0_1) ).

fof(c_0_150_151,axiom,
    ! [X49,X10,X12,X51,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(c_Sum__Type_OInl(X49,X50,X51),c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51)) ),
    file('<stdin>',cls_Sum__Type_OInlI_0) ).

fof(c_0_151_152,axiom,
    ! [X27,X10,X12,X51,X50] :
      ( ~ c_in(X27,X10,X50)
      | c_in(c_Sum__Type_OInr(X27,X50,X51),c_Sum__Type_OPlus(X12,X10,X51,X50),tc_sum(X51,X50)) ),
    file('<stdin>',cls_Sum__Type_OInrI_0) ).

fof(c_0_152_153,axiom,
    ! [X24,X7,X22] :
      ( ~ c_in(X24,c_Message_Oparts(c_insert(X7,X22,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X24,c_union(c_Message_Osynth(c_Message_Oanalz(X22)),c_Message_Oparts(X22),tc_Message_Omsg),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(c_0_153_154,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X49,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_5) ).

fof(c_0_154_155,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_0,X49,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_7) ).

fof(c_0_155_156,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X49,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_5) ).

fof(c_0_156_157,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,X49,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_7) ).

fof(c_0_157_158,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_5) ).

fof(c_0_158_159,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_7) ).

fof(c_0_159_160,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_5) ).

fof(c_0_160_161,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_7) ).

fof(c_0_161_162,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_0) ).

fof(c_0_162_163,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_6) ).

fof(c_0_163_164,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_0) ).

fof(c_0_164_165,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_6) ).

fof(c_0_165_166,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_0) ).

fof(c_0_166_167,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_6) ).

fof(c_0_167_168,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_0) ).

fof(c_0_168_169,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_6) ).

fof(c_0_169_170,axiom,
    ! [X25,X66,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Olist__update(X66,X52,X25,X50),X52,X50) = X25 ),
    file('<stdin>',cls_List_Onth__list__update__eq_0) ).

fof(c_0_170_171,axiom,
    ! [X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(c_Pair(X49,X49,X50,X50),c_Relation_Odiag(X12,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Relation_OdiagI_0) ).

fof(c_0_171_172,axiom,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(c_minus(X12,X10,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X12,c_insert(X49,X10,X50),tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Diff__insert_1) ).

fof(c_0_172_173,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Otake(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_OCons(X23,c_List_Otake(c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X66,X50),X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    file('<stdin>',cls_List_Otake__Cons__number__of_1) ).

fof(c_0_173_174,axiom,
    ! [X5,X7,X10] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(v_sko__wPE(X10,X7,X5),X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('<stdin>',cls_Yahalom_OGets__imp__Says_0) ).

fof(c_0_174_175,axiom,
    ! [X25,X23] :
      ( ~ c_less(X23,X25,tc_nat)
      | c_in(c_Pair(X23,X25,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    file('<stdin>',cls_Wellfounded__Relations_Oless__than__iff_1) ).

fof(c_0_175_176,axiom,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Message_Oagent_OServer = X17 ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Says_0) ).

fof(c_0_176_177,axiom,
    ! [X23] :
      ( c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    file('<stdin>',cls_Parity_Oneq__one__mod__two_1) ).

fof(c_0_177_178,axiom,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,c_Relation_Odiag(X12,X50),tc_prod(X50,X50))
      | X26 = c_Pair(c_Main_OdiagE__1(X12,X26,X50),c_Main_OdiagE__1(X12,X26,X50),X50,X50) ),
    file('<stdin>',cls_Relation_OdiagE_0) ).

fof(c_0_178_179,axiom,
    ! [X66,X53,X52,X50] :
      ( ~ c_lessequals(c_plus(X53,X52,tc_nat),c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Odrop(X53,X66,X50),X52,X50) = c_List_Onth(X66,c_plus(X53,X52,tc_nat),X50) ),
    file('<stdin>',cls_List_Onth__drop_0) ).

fof(c_0_179_180,axiom,
    ! [X66,X23,X55,X52,X50] :
      ( X52 = X55
      | c_List_Onth(c_List_Olist__update(X66,X52,X23,X50),X55,X50) = c_List_Onth(X66,X55,X50) ),
    file('<stdin>',cls_List_Onth__list__update__neq_0) ).

fof(c_0_180_181,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_plus(X54,c_times(X21,X53,tc_nat),tc_nat),X53,tc_nat) = c_plus(X21,c_div(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Divides_Odiv__mult__self1_0) ).

fof(c_0_181_182,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_plus(X54,c_times(X53,X21,tc_nat),tc_nat),X53,tc_nat) = c_plus(X21,c_div(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Divides_Odiv__mult__self2_0) ).

fof(c_0_182_183,axiom,
    ! [X92,X93,X51,X50] :
      ( ~ c_Relation_Otrans(X92,X51)
      | ~ c_Relation_Otrans(X93,X50)
      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X93,X92,X50,X51),tc_prod(X50,X51)) ),
    file('<stdin>',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).

fof(c_0_183_184,axiom,
    ! [X90,X91,X51,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X90,X51)
      | ~ c_Wellfounded__Recursion_Owf(X91,X50)
      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X91,X90,X50,X51),tc_prod(X50,X51)) ),
    file('<stdin>',cls_Wellfounded__Relations_Owf__lex__prod_0) ).

fof(c_0_184_185,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(c_insert(X7,X22,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz__Crypt__if_0) ).

fof(c_0_185_186,axiom,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_lessequals(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50)
      | c_lessequals(X23,X25,tc_nat) ),
    file('<stdin>',cls_Power_Opower__increasing__iff_0) ).

fof(c_0_186_187,axiom,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_less(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50)
      | c_less(X23,X25,tc_nat) ),
    file('<stdin>',cls_Power_Opower__strict__increasing__iff_0) ).

fof(c_0_187_188,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oring(X51)
      | c_times(c_minus(X49,X27,X51),c_Numeral_Onumber__of(X61,X51),X51) = c_minus(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oleft__diff__distrib__number__of_0) ).

fof(c_0_188_189,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Osemiring(X51)
      | c_times(c_plus(X49,X27,X51),c_Numeral_Onumber__of(X61,X51),X51) = c_plus(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oleft__distrib__number__of_0) ).

fof(c_0_189_190,axiom,
    ! [X61,X26,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oring(X51)
      | c_times(c_Numeral_Onumber__of(X61,X51),c_minus(X27,X26,X51),X51) = c_minus(c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),c_times(c_Numeral_Onumber__of(X61,X51),X26,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oright__diff__distrib__number__of_0) ).

fof(c_0_190_191,axiom,
    ! [X61,X26,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Osemiring(X51)
      | c_times(c_Numeral_Onumber__of(X61,X51),c_plus(X27,X26,X51),X51) = c_plus(c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),c_times(c_Numeral_Onumber__of(X61,X51),X26,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oright__distrib__number__of_0) ).

fof(c_0_191_192,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__15_0) ).

fof(c_0_192_193,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_0,X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_2) ).

fof(c_0_193_194,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_2) ).

fof(c_0_194_195,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_2) ).

fof(c_0_195_196,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(X49,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_2) ).

fof(c_0_196_197,axiom,
    ! [X48,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X48,X50)
      | c_less(c_0,c_divide(X48,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X50),X50),X50) ),
    file('<stdin>',cls_NatSimprocs_Ohalf__gt__zero_0) ).

fof(c_0_197_198,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_5) ).

fof(c_0_198_199,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_5) ).

fof(c_0_199_200,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_5) ).

fof(c_0_200_201,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_5) ).

fof(c_0_201_202,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_3) ).

fof(c_0_202_203,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_4) ).

fof(c_0_203_204,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_3) ).

fof(c_0_204_205,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_4) ).

fof(c_0_205_206,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_3) ).

fof(c_0_206_207,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_4) ).

fof(c_0_207_208,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_3) ).

fof(c_0_208_209,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_4) ).

fof(c_0_209_210,axiom,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50))
      | c_lessequals(X54,X52,X50)
      | c_lessequals(X55,X52,X50) ),
    file('<stdin>',cls_SetInterval_Oivl__subset_0) ).

fof(c_0_210_211,axiom,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50))
      | c_lessequals(X55,X53,X50)
      | c_lessequals(X55,X52,X50) ),
    file('<stdin>',cls_SetInterval_Oivl__subset_1) ).

fof(c_0_211_212,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__left__number__of_2) ).

fof(c_0_212_213,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__le__cancel__right__number__of_2) ).

fof(c_0_213_214,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__left__number__of_2) ).

fof(c_0_214_215,axiom,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Omult__less__cancel__right__number__of_2) ).

fof(c_0_215_216,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X21,tc_nat)
      | ~ c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel1_0) ).

fof(c_0_216_217,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X21,tc_nat)
      | ~ c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel2_0) ).

fof(c_0_217_218,axiom,
    ! [X25,X66,X23,X50] :
      ( ~ c_in(X23,c_List_Oset(c_List_Oremove1(X25,X66,X50),X50),X50)
      | c_in(X23,c_List_Oset(X66,X50),X50) ),
    file('<stdin>',cls_List_Onotin__set__remove1_0) ).

fof(c_0_218_219,axiom,
    ! [X66,X23,X70,X50] :
      ( ~ c_in(X23,c_List_Oset(c_List_Osublist(X66,X70,X50),X50),X50)
      | c_in(X23,c_List_Oset(X66,X50),X50) ),
    file('<stdin>',cls_List_Onotin__set__sublistI_0) ).

fof(c_0_219_220,axiom,
    ! [X26,X22,X29] :
      ( ~ c_in(X26,c_Message_Oparts(c_union(X29,X22,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X26,c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X26,c_Message_Oparts(X29),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oin__parts__UnE_0) ).

fof(c_0_220_221,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__13_1) ).

fof(c_0_221_222,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_0) ).

fof(c_0_222_223,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_0) ).

fof(c_0_223_224,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_0) ).

fof(c_0_224_225,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_0) ).

fof(c_0_225_226,axiom,
    ! [X54,X21,X55] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(X54,c_Suc(c_minus(X55,X21,tc_nat)),tc_nat) = c_minus(c_plus(X54,X21,tc_nat),c_Suc(X55),tc_nat) ),
    file('<stdin>',cls_NatArith_Odiff__Suc__diff__eq1_0) ).

fof(c_0_226_227,axiom,
    ! [X54,X21,X55] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(c_Suc(c_minus(X55,X21,tc_nat)),X54,tc_nat) = c_minus(c_Suc(X55),c_plus(X21,X54,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatArith_Odiff__Suc__diff__eq2_0) ).

fof(c_0_227_228,axiom,
    ! [X65,X25,X66,X23,X50] :
      ( c_append(X66,c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X50) != c_append(X65,c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50)
      | X66 = X65 ),
    file('<stdin>',cls_List_Oappend1__eq__conv_0) ).

fof(c_0_228_229,axiom,
    ! [X65,X25,X66,X23,X50] :
      ( c_append(X66,c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X50) != c_append(X65,c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50)
      | X23 = X25 ),
    file('<stdin>',cls_List_Oappend1__eq__conv_1) ).

fof(c_0_229_230,axiom,
    ! [X25,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X25,tc_List_Olist(X50)),tc_nat)
      | c_List_Olist__update(X25,X52,c_List_Onth(X25,X52,X50),X50) = X25 ),
    file('<stdin>',cls_List_Olist__update__id_0) ).

fof(c_0_230_231,axiom,
    ! [X60,X61,X27] :
      ( c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | X27 = c_Numeral_Obit_OB0
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X61,X27),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozdiv__number__of__BIT_2) ).

fof(c_0_231_232,axiom,
    ! [X5,X8] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5))),tc_nat)
      | ~ c_in(X8,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(X8),c_Event_Oused(X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Yahalom_Onew__keys__not__used_0) ).

fof(c_0_232_233,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(c_0,X27,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_1) ).

fof(c_0_233_234,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_2) ).

fof(c_0_234_235,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(c_0,X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_1) ).

fof(c_0_235_236,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(X27,c_0,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_2) ).

fof(c_0_236_237,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_1) ).

fof(c_0_237_238,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(c_0,X27,X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_2) ).

fof(c_0_238_239,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_1) ).

fof(c_0_239_240,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(c_0,X27,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_2) ).

fof(c_0_240_241,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__le__cancel__left_0) ).

fof(c_0_241_242,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

fof(c_0_242_243,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__less__cancel__left_0) ).

fof(c_0_243_244,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__less__cancel__right_0) ).

fof(c_0_244_245,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__eq__number__of_3) ).

fof(c_0_245_246,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__eq__number__of_3) ).

fof(c_0_246_247,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__divide__eq__number__of_3) ).

fof(c_0_247_248,axiom,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__divide__eq__number__of_3) ).

fof(c_0_248_249,axiom,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(X65,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | ~ c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Oappend__in__lists__conv_2) ).

fof(c_0_249_250,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHPair__synth__analz_2) ).

fof(c_0_250_251,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel1_1) ).

fof(c_0_251_252,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel2_1) ).

fof(c_0_252_253,axiom,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Onat__add__left__cancel__le_0) ).

fof(c_0_253_254,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Onat__add__left__cancel__less_0) ).

fof(c_0_254_255,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_less(c_0,X21,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel1_0) ).

fof(c_0_255_256,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_less(c_0,X21,tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel2_0) ).

fof(c_0_256_257,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_3) ).

fof(c_0_257_258,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_3) ).

fof(c_0_258_259,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_3) ).

fof(c_0_259_260,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,X27,X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_3) ).

fof(c_0_260_261,axiom,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent)) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Says_3) ).

fof(c_0_261_262,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_1 ),
    file('<stdin>',cls_IntArith_Oarith__special__9_1) ).

fof(c_0_262_263,axiom,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X55,X53,X50)
      | ~ c_lessequals(X54,X52,X50)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_Oivl__subset_3) ).

fof(c_0_263_264,axiom,
    ! [X48,X51,X50] :
      ( ~ c_in(c_Relation_Oconverse(X48,X51,X50),c_Finite__Set_OFinites,tc_set(tc_prod(X50,X51)))
      | c_in(X48,c_Finite__Set_OFinites,tc_set(tc_prod(X51,X50))) ),
    file('<stdin>',cls_Finite__Set_Ofinite__converse_0) ).

fof(c_0_264_265,axiom,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_lessequals(X23,X25,tc_nat)
      | c_lessequals(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50) ),
    file('<stdin>',cls_Power_Opower__increasing__iff_1) ).

fof(c_0_265_266,axiom,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(X23,X25,tc_nat)
      | ~ c_less(c_1,X27,X50)
      | c_less(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50) ),
    file('<stdin>',cls_Power_Opower__strict__increasing__iff_1) ).

fof(c_0_266_267,axiom,
    ! [X71,X72,X49,X64] :
      ( ~ c_in(X49,c_List_Oset(X71,X64),X64)
      | c_List_Olist__inter(c_List_Olist_OCons(X49,X72,X64),X71,X64) = c_List_Olist_OCons(X49,c_List_Olist__inter(X72,X71,X64),X64) ),
    file('<stdin>',cls_List_Olist__inter_Osimps__2_0) ).

fof(c_0_267_268,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__17_0) ).

fof(c_0_268_269,axiom,
    ! [X53,X54,X52] :
      ( ~ c_lessequals(c_plus(X52,X54,tc_nat),X53,tc_nat)
      | c_List_Otake(X54,c_List_Oupt(X52,X53),tc_nat) = c_List_Oupt(X52,c_plus(X52,X54,tc_nat)) ),
    file('<stdin>',cls_List_Otake__upt_0) ).

fof(c_0_269_270,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_0,X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_4) ).

fof(c_0_270_271,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X27,X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__le__0__iff__number__of_5) ).

fof(c_0_271_272,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_0,X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_4) ).

fof(c_0_272_273,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X27,X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    file('<stdin>',cls_NatSimprocs_Odivide__less__0__iff__number__of_5) ).

fof(c_0_273_274,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X27,X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_4) ).

fof(c_0_274_275,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_0,X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__le__divide__iff__number__of_5) ).

fof(c_0_275_276,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X27,X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_4) ).

fof(c_0_276_277,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_0,X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ozero__less__divide__iff__number__of_5) ).

fof(c_0_277_278,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,X23,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_0) ).

fof(c_0_278_279,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(c_Main_OMax__le__iff__1(X12,X23,X50),X23,X50)
      | c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__le__iff_2) ).

fof(c_0_279_280,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(c_Main_OMax__less__iff__1(X12,X23,X50),X23,X50)
      | c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__less__iff_2) ).

fof(c_0_280_281,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(X23,c_Main_OMin__ge__iff__1(X12,X23,X50),X50)
      | c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__ge__iff_2) ).

fof(c_0_281_282,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(X23,c_Main_OMin__gr__iff__1(X12,X23,X50),X50)
      | c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__gr__iff_2) ).

fof(c_0_282_283,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(X23,c_0,X50) ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_2) ).

fof(c_0_283_284,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,X23,X50) ),
    file('<stdin>',cls_Parity_Ozero__le__power__eq__number__of_0) ).

fof(c_0_284_285,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | ~ c_less(c_0,X21,tc_nat)
      | c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel1_2) ).

fof(c_0_285_286,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | ~ c_less(c_0,X21,tc_nat)
      | c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__less__cancel2_2) ).

fof(c_0_286_287,axiom,
    ! [X94,X50] :
      ( ~ c_in(X94,c_Relation_OId,tc_prod(X50,X50))
      | X94 = c_Pair(c_Main_OIdE__1(X94,X50),c_Main_OIdE__1(X94,X50),X50,X50) ),
    file('<stdin>',cls_Relation_OIdE_0) ).

fof(c_0_287_288,axiom,
    ! [X53,X54,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X52,X53,X50)
      | c_minus(c_SetInterval_OatLeastLessThan(X52,X54,X50),c_SetInterval_OatLeastLessThan(X52,X53,X50),tc_set(X50)) = c_SetInterval_OatLeastLessThan(X53,X54,X50) ),
    file('<stdin>',cls_SetInterval_Oivl__diff_0) ).

fof(c_0_288_289,axiom,
    ! [X57,X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | ~ c_in(X57,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_List_Olist_OCons(X49,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Olists_OCons_0) ).

fof(c_0_289_290,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_1,X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__13_0) ).

fof(c_0_290_291,axiom,
    ! [X60,X61,X27] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X61,X27),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozdiv__number__of__BIT_1) ).

fof(c_0_291_292,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_divide(X27,X49,X50),c_1,X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__eq__1__neg_0) ).

fof(c_0_292_293,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_divide(X27,X49,X50),c_1,X50)
      | c_lessequals(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__eq__1__pos_0) ).

fof(c_0_293_294,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_divide(X27,X49,X50),c_1,X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__eq__1__neg_0) ).

fof(c_0_294_295,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_divide(X27,X49,X50),c_1,X50)
      | c_less(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__eq__1__pos_0) ).

fof(c_0_295_296,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_1,c_divide(X27,X49,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ole__divide__eq__1__neg_0) ).

fof(c_0_296_297,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_1,c_divide(X27,X49,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ole__divide__eq__1__pos_0) ).

fof(c_0_297_298,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_1,c_divide(X27,X49,X50),X50)
      | c_less(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oless__divide__eq__1__neg_0) ).

fof(c_0_298_299,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_1,c_divide(X27,X49,X50),X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oless__divide__eq__1__pos_0) ).

fof(c_0_299_300,axiom,
    ! [X60,X61,X26,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_minus(X26,c_Numeral_Onumber__of(X60,X50),X50),X50) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X60)),X50),X26,X50) ),
    file('<stdin>',cls_Numeral_Oadd__number__of__diff2_0) ).

fof(c_0_300_301,axiom,
    ! [X23] :
      ( c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
      | c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    file('<stdin>',cls_Parity_Oneq__one__mod__two_0) ).

fof(c_0_301_302,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_1) ).

fof(c_0_302_303,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__11_1) ).

fof(c_0_303_304,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Odrop(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X66,X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    file('<stdin>',cls_List_Odrop__Cons__number__of_1) ).

fof(c_0_304_305,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Onth(c_List_Olist_OCons(X23,X66,X50),c_Numeral_Onumber__of(X61,tc_nat),X50) = c_List_Onth(X66,c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    file('<stdin>',cls_List_Onth__Cons__number__of_1) ).

fof(c_0_305_306,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_less(c_0,c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_2) ).

fof(c_0_306_307,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__le__iff__le_0) ).

fof(c_0_307_308,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__le__iff__le__neg_0) ).

fof(c_0_308_309,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_less(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__less__iff__less_0) ).

fof(c_0_309_310,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_less(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__less__iff__less__neg_0) ).

fof(c_0_310_311,axiom,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_plus(c_minus(X55,X21,tc_nat),X52,tc_nat) = c_minus(c_plus(X55,X52,tc_nat),X21,tc_nat) ),
    file('<stdin>',cls_NatArith_Oadd__diff__assoc2_0) ).

fof(c_0_311_312,axiom,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_plus(X52,c_minus(X55,X21,tc_nat),tc_nat) = c_minus(c_plus(X52,X55,tc_nat),X21,tc_nat) ),
    file('<stdin>',cls_NatArith_Oadd__diff__assoc_0) ).

fof(c_0_312_313,axiom,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(X52,c_minus(X55,X21,tc_nat),tc_nat) = c_minus(c_plus(X52,X21,tc_nat),X55,tc_nat) ),
    file('<stdin>',cls_NatArith_Odiff__diff__right_0) ).

fof(c_0_313_314,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | X23 = c_0 ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_1) ).

fof(c_0_314_315,axiom,
    ! [X26,X27,X49] :
      ( ~ c_less(c_0,X26,tc_nat)
      | c_div(c_times(X26,X49,tc_nat),c_times(X26,X27,tc_nat),tc_nat) = c_div(X49,X27,tc_nat) ),
    file('<stdin>',cls_Divides_Odiv__mult__mult1_0) ).

fof(c_0_315_316,axiom,
    ! [X26,X27,X49] :
      ( ~ c_less(c_0,X26,tc_nat)
      | c_div(c_times(X49,X26,tc_nat),c_times(X27,X26,tc_nat),tc_nat) = c_div(X49,X27,tc_nat) ),
    file('<stdin>',cls_Divides_Odiv__mult__mult2_0) ).

fof(c_0_316_317,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50) ),
    file('<stdin>',cls_Parity_Opower__less__zero__eq__number__of_0) ).

fof(c_0_317_318,axiom,
    ! [X48,X51,X50] :
      ( ~ c_in(X48,c_Finite__Set_OFinites,tc_set(tc_prod(X51,X50)))
      | c_in(c_Relation_Oconverse(X48,X51,X50),c_Finite__Set_OFinites,tc_set(tc_prod(X50,X51))) ),
    file('<stdin>',cls_Finite__Set_Ofinite__converse_1) ).

fof(c_0_318_319,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_lessequals(X23,c_0,X50)
      | X23 = c_0 ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_3) ).

fof(c_0_319_320,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHash__synth__analz_0) ).

fof(c_0_320_321,axiom,
    ! [X5,X7,X10,X12] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('<stdin>',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(c_0_321_322,axiom,
    ! [X25,X23,X52,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),X52,tc_nat)
      | c_List_Olist__update(X25,X52,X23,X50) = X25 ),
    file('<stdin>',cls_List_Olist__update__beyond_0) ).

fof(c_0_322_323,axiom,
    ! [X23,X57,X12,X50] :
      ( ~ c_in(c_List_Olist_OCons(X23,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X57,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_OlistsE_0) ).

fof(c_0_323_324,axiom,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Oappend__in__lists__conv_0) ).

fof(c_0_324_325,axiom,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X65,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Oappend__in__lists__conv_1) ).

fof(c_0_325_326,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_less(X23,c_0,X50) ),
    file('<stdin>',cls_Parity_Opower__less__zero__eq__number__of_1) ).

fof(c_0_326_327,axiom,
    ! [X61] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1) ).

fof(c_0_327_328,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHash__synth__analz_1) ).

fof(c_0_328_329,axiom,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OGets(X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Gets_0) ).

fof(c_0_329_330,axiom,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Notes_0) ).

fof(c_0_330_331,axiom,
    ! [X23,X60] :
      ( ~ c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat)
      | c_less(c_0,X23,tc_nat)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Ozero__less__power__nat__eq__number__of_0) ).

fof(c_0_331_332,axiom,
    ! [X21,X55,X52] :
      ( ~ c_less(c_plus(X52,X21,tc_nat),X55,tc_nat)
      | c_List_Onth(c_List_Oupt(X52,X55),X21,tc_nat) = c_plus(X52,X21,tc_nat) ),
    file('<stdin>',cls_List_Onth__upt_0) ).

fof(c_0_332_333,axiom,
    ! [X62,X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_plus(c_Numeral_Onumber__of(X60,X50),X62,X50),X50) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X60),X50),X62,X50) ),
    file('<stdin>',cls_Numeral_Oadd__number__of__left_0) ).

fof(c_0_333_334,axiom,
    ! [X62,X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(X61,X50),c_times(c_Numeral_Onumber__of(X60,X50),X62,X50),X50) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X60),X50),X62,X50) ),
    file('<stdin>',cls_Numeral_Omult__number__of__left_0) ).

fof(c_0_334_335,axiom,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | c_lessequals(X32,X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__le__iff_0) ).

fof(c_0_335_336,axiom,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | c_less(X32,X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__less__iff_0) ).

fof(c_0_336_337,axiom,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | c_lessequals(X23,X32,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__ge__iff_0) ).

fof(c_0_337_338,axiom,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | c_less(X23,X32,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__gr__iff_0) ).

fof(c_0_338_339,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('<stdin>',cls_NatBin_Omod__nat__number__of_2) ).

fof(c_0_339_340,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_lessequals(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__15_1) ).

fof(c_0_340_341,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__le__iff__le_1) ).

fof(c_0_341_342,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__le__iff__le__neg_1) ).

fof(c_0_342_343,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__less__iff__less_1) ).

fof(c_0_343_344,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__less__iff__less__neg_1) ).

fof(c_0_344_345,axiom,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X55,X52,X50)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_Oivl__subset_2) ).

fof(c_0_345_346,axiom,
    ! [X23,X12,X50] :
      ( ~ c_lessequals(X12,c_insert(X23,c_emptyset,X50),tc_set(X50))
      | c_insert(X23,c_emptyset,X50) = c_insert(X23,X12,X50) ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_2) ).

fof(c_0_346_347,axiom,
    ! [X23,X12,X50] :
      ( ~ c_lessequals(X12,c_insert(X23,c_emptyset,X50),tc_set(X50))
      | c_insert(X23,X12,X50) = c_insert(X23,c_emptyset,X50) ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H_2) ).

fof(c_0_347_348,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__13_0) ).

fof(c_0_348_349,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_union(X12,X10,X50),X50)
      | c_in(X26,X10,X50)
      | c_in(X26,X12,X50) ),
    file('<stdin>',cls_Set_OUn__iff_0) ).

fof(c_0_349_350,axiom,
    ! [X5,X7,X10,X12] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Event_OSays__imp__spies_0) ).

fof(c_0_350_351,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__le__cancel__left_1) ).

fof(c_0_351_352,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__le__cancel__right_1) ).

fof(c_0_352_353,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__less__cancel__left_1) ).

fof(c_0_353_354,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oadd__less__cancel__right_1) ).

fof(c_0_354_355,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | ~ c_in(X26,c_minus(X12,X10,tc_set(X50)),X50) ),
    file('<stdin>',cls_Set_ODiff__iff_1) ).

fof(c_0_355_356,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,X10,tc_set(X50))
      | ~ c_lessequals(X20,X12,tc_set(X50))
      | c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50)) ),
    file('<stdin>',cls_Set_OInt__subset__iff_2) ).

fof(c_0_356_357,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X10,X20,tc_set(X50))
      | ~ c_lessequals(X12,X20,tc_set(X50))
      | c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OUn__subset__iff_2) ).

fof(c_0_357_358,axiom,
    ! [X23,X57,X12,X50] :
      ( ~ c_in(c_List_Olist_OCons(X23,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X23,X12,X50) ),
    file('<stdin>',cls_List_OlistsE_1) ).

fof(c_0_358_359,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0 ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_0) ).

fof(c_0_359_360,axiom,
    ! [X5,X7,X10] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('<stdin>',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(c_0_360_361,axiom,
    ! [X29,X81,X50] :
      ( ~ c_in(X29,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_in(X81,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Un_2) ).

fof(c_0_361_362,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X23,c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_4) ).

fof(c_0_362_363,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Oless__nat__number__of_4) ).

fof(c_0_363_364,axiom,
    ! [X23,X10,X12,X50] :
      ( ~ c_in(X23,X10,X50)
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_Oinsert__subset_2) ).

fof(c_0_364_365,axiom,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Power_Orecpower(X51)
      | c_Nat_Opower(c_Numeral_Onumber__of(X60,X51),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X51) = c_times(c_Numeral_Onumber__of(X60,X51),c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatBin_Opower2__eq__square__number__of_0) ).

fof(c_0_365_366,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X53,tc_nat)
      | c_less(c_0,X54,tc_nat) ),
    file('<stdin>',cls_Nat_Oadd__gr__0_0) ).

fof(c_0_366_367,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMax__le__iff__1(X12,X23,X50),X12,X50)
      | c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__le__iff_1) ).

fof(c_0_367_368,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMax__less__iff__1(X12,X23,X50),X12,X50)
      | c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__less__iff_1) ).

fof(c_0_368_369,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMin__ge__iff__1(X12,X23,X50),X12,X50)
      | c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__ge__iff_1) ).

fof(c_0_369_370,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMin__gr__iff__1(X12,X23,X50),X12,X50)
      | c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__gr__iff_1) ).

fof(c_0_370_371,axiom,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel1_2) ).

fof(c_0_371_372,axiom,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel2_2) ).

fof(c_0_372_373,axiom,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Onat__add__left__cancel__le_1) ).

fof(c_0_373_374,axiom,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Onat__add__left__cancel__less_1) ).

fof(c_0_374_375,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_divide(X27,X49,X50),c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__eq__1__neg_1) ).

fof(c_0_375_376,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_divide(X27,X49,X50),c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__eq__1__pos_1) ).

fof(c_0_376_377,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,X27,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_divide(X27,X49,X50),c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__eq__1__neg_1) ).

fof(c_0_377_378,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_divide(X27,X49,X50),c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__eq__1__pos_1) ).

fof(c_0_378_379,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_1,c_divide(X27,X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Ole__divide__eq__1__neg_1) ).

fof(c_0_379_380,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_1,c_divide(X27,X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Ole__divide__eq__1__pos_1) ).

fof(c_0_380_381,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_1,c_divide(X27,X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oless__divide__eq__1__neg_1) ).

fof(c_0_381_382,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_1,c_divide(X27,X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oless__divide__eq__1__pos_1) ).

fof(c_0_382_383,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHPair__synth__analz_0) ).

fof(c_0_383_384,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X25,X62,X50)
      | ~ c_less(X23,X62,X50)
      | c_less(c_Orderings_Omax(X23,X25,X50),X62,X50) ),
    file('<stdin>',cls_Orderings_Omax__less__iff__conj_2) ).

fof(c_0_384_385,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,X25,X50)
      | ~ c_less(X62,X23,X50)
      | c_less(X62,c_Orderings_Omin(X23,X25,X50),X50) ),
    file('<stdin>',cls_Orderings_Omin__less__iff__conj_2) ).

fof(c_0_385_386,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,X62,X51)
      | ~ c_lessequals(X23,X25,X51)
      | c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2) ).

fof(c_0_386_387,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X25,X62,X51)
      | ~ c_lessequals(X23,X62,X51)
      | c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

fof(c_0_387_388,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X52,X56,X50)
      | ~ c_lessequals(X57,X52,X50)
      | c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50) ),
    file('<stdin>',cls_SetInterval_OatLeastAtMost__iff_2) ).

fof(c_0_388_389,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X56,X50)
      | ~ c_lessequals(X57,X52,X50)
      | c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50) ),
    file('<stdin>',cls_SetInterval_OatLeastLessThan__iff_2) ).

fof(c_0_389_390,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X57,X52,X50)
      | ~ c_lessequals(X52,X56,X50)
      | c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanAtMost__iff_2) ).

fof(c_0_390_391,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X56,X50)
      | ~ c_less(X57,X52,X50)
      | c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanLessThan__iff_2) ).

fof(c_0_391_392,axiom,
    ! [X66,X12,X50] :
      ( ~ c_in(c_Main_Oin__listsI__1(X12,X66,X50),X12,X50)
      | c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Oin__listsI_1) ).

fof(c_0_392_393,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_Message_Osynth(c_Message_Oanalz(c_insert(X7,X22,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X22)) ),
    file('<stdin>',cls_Message_OFake__analz__eq_0) ).

fof(c_0_393_394,axiom,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_inter(X10,c_insert(X49,X12,X50),X50) != c_emptyset ),
    file('<stdin>',cls_Set_Odisjoint__insert__1_0) ).

fof(c_0_394_395,axiom,
    ! [X27,X10,X12,X50] :
      ( ~ c_in(X27,X12,X50)
      | c_emptyset != c_inter(X12,c_insert(X27,X10,X50),X50) ),
    file('<stdin>',cls_Set_Odisjoint__insert__2_0) ).

fof(c_0_395_396,axiom,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_inter(c_insert(X49,X12,X50),X10,X50) != c_emptyset ),
    file('<stdin>',cls_Set_Oinsert__disjoint__1_0) ).

fof(c_0_396_397,axiom,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_emptyset != c_inter(c_insert(X49,X12,X50),X10,X50) ),
    file('<stdin>',cls_Set_Oinsert__disjoint__2_0) ).

fof(c_0_397_398,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X23,c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50) ),
    file('<stdin>',cls_Parity_Opower__less__zero__eq__number__of_2) ).

fof(c_0_398_399,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,X23,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    file('<stdin>',cls_Parity_Ozero__le__power__eq__number__of_2) ).

fof(c_0_399_400,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X23,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_5) ).

fof(c_0_400_401,axiom,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X50),X53,X50),X50)
      | X53 = c_0 ),
    file('<stdin>',cls_Power_Ozero__less__power__abs__iff_0) ).

fof(c_0_401_402,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X26,X49,X50),c_times(X26,X27,X50),X50) = c_divide(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if_1) ).

fof(c_0_402_403,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X49,X26,X50),c_times(X27,X26,X50),X50) = c_divide(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if_1) ).

fof(c_0_403_404,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50),X50) = c_plus(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__add__abs_0) ).

fof(c_0_404_405,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_divide(X49,X27,X50),X26,X50) = c_divide(X49,c_times(X27,X26,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__divide__eq__left_0) ).

fof(c_0_405_406,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_divide(X27,X26,X50),X50) = c_divide(c_times(X49,X26,X50),X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__divide__eq__right_0) ).

fof(c_0_406_407,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_plus(X49,X27,X50),c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__add_0) ).

fof(c_0_407_408,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_minus(X49,X27,X50),c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__diff_0) ).

fof(c_0_408_409,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_times(X49,X27,X50),c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__mult_0) ).

fof(c_0_409_410,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_in(X27,c_IntDef_ONats,X50)
      | ~ c_in(X49,c_IntDef_ONats,X50)
      | c_in(c_plus(X49,X27,X50),c_IntDef_ONats,X50) ),
    file('<stdin>',cls_IntDef_ONats__add_0) ).

fof(c_0_410_411,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_in(X27,c_IntDef_ONats,X50)
      | ~ c_in(X49,c_IntDef_ONats,X50)
      | c_in(c_times(X49,X27,X50),c_IntDef_ONats,X50) ),
    file('<stdin>',cls_IntDef_ONats__mult_0) ).

fof(c_0_411_412,axiom,
    ! [X7,X22,X12] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),X7),c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Public_Oanalz__shrK__Decrypt_0) ).

fof(c_0_412_413,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__11_0) ).

fof(c_0_413_414,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Main_OInterI__1(X12,X20,X50),X50)
      | c_in(X12,c_Inter(X20,X50),X50) ),
    file('<stdin>',cls_Set_OInterI_1) ).

fof(c_0_414_415,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Main_OInter__iff__1(X12,X20,X50),X50)
      | c_in(X12,c_Inter(X20,X50),X50) ),
    file('<stdin>',cls_Set_OInter__iff_2) ).

fof(c_0_415_416,axiom,
    ! [X5,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Yahalom_OSpy__analz__shrK_0) ).

fof(c_0_416_417,axiom,
    ! [X5,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
    file('<stdin>',cls_Yahalom_OSpy__see__shrK_0) ).

fof(c_0_417_418,axiom,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(X65,X50)
      | ~ c_List_Odistinct(X66,X50)
      | c_inter(c_List_Oset(X66,X50),c_List_Oset(X65,X50),X50) != c_emptyset
      | c_List_Odistinct(c_append(X66,X65,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__append_3) ).

fof(c_0_418_419,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | ~ c_in(X26,X12,X50)
      | c_in(X26,c_inter(X12,X10,X50),X50) ),
    file('<stdin>',cls_Set_OInt__iff_2) ).

fof(c_0_419_420,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('<stdin>',cls_NatBin_Odiv__nat__number__of_1) ).

fof(c_0_420_421,axiom,
    ! [X60,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X60,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_nat),tc_IntDef_Oint)) ),
    file('<stdin>',cls_NatBin_Opower__nat__number__of__number__of_1) ).

fof(c_0_421_422,axiom,
    ! [X66,X23,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Oset(c_List_Oremove1(X23,X66,X50),X50) = c_minus(c_List_Oset(X66,X50),c_insert(X23,c_emptyset,X50),tc_set(X50)) ),
    file('<stdin>',cls_List_Oset__remove1__eq_0) ).

fof(c_0_422_423,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X27,c_emptyset,X50) != c_insert(X49,X12,X50)
      | c_lessequals(X12,c_insert(X27,c_emptyset,X50),tc_set(X50)) ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_1) ).

fof(c_0_423_424,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X49,X12,X50) != c_insert(X27,c_emptyset,X50)
      | c_lessequals(X12,c_insert(X27,c_emptyset,X50),tc_set(X50)) ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H_1) ).

fof(c_0_424_425,axiom,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | ~ c_in(c_Main_Ofinite__Union__1(X12,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Union(X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Union_1) ).

fof(c_0_425_426,axiom,
    ! [X66,X53,X50] :
      ( ~ c_less(X53,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_in(c_List_Onth(X66,X53,X50),c_List_Oset(X66,X50),X50) ),
    file('<stdin>',cls_List_Onth__mem_0) ).

fof(c_0_426_427,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,c_divide(X27,X26,X50),X50) = c_divide(c_times(X49,X27,X50),X26,X50) ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__eq__1_0) ).

fof(c_0_427_428,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_divide(X27,X26,X50),X49,X50) = c_divide(c_times(X27,X49,X50),X26,X50) ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__eq__2_0) ).

fof(c_0_428_429,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50)
      | c_1 = c_Numeral_Onumber__of(X25,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__7_1) ).

fof(c_0_429_430,axiom,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__minus__iff__number__of_1) ).

fof(c_0_430_431,axiom,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__minus__iff__number__of_1) ).

fof(c_0_431_432,axiom,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51)
      | c_lessequals(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__le__iff__number__of_1) ).

fof(c_0_432_433,axiom,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51)
      | c_less(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__less__iff__number__of_1) ).

fof(c_0_433_434,axiom,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,c_Relation_Odiag(X12,X50),tc_prod(X50,X50))
      | c_in(c_Main_OdiagE__1(X12,X26,X50),X12,X50) ),
    file('<stdin>',cls_Relation_OdiagE_1) ).

fof(c_0_434_435,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_minus(X12,X10,tc_set(X50)),X50)
      | c_in(X26,X12,X50) ),
    file('<stdin>',cls_Set_ODiff__iff_0) ).

fof(c_0_435_436,axiom,
    ! [X25,X23] :
      ( ~ c_in(X25,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | ~ c_in(X23,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_OAbs__Integ(X23) != c_IntDef_OAbs__Integ(X25)
      | X23 = X25 ),
    file('<stdin>',cls_IntDef_OInteg_OAbs__Integ__inject_0) ).

fof(c_0_436_437,axiom,
    ! [X5,X7,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) = c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Event_Oknows__Spy__Notes_0) ).

fof(c_0_437_438,axiom,
    ! [X25,X66,X23,X64] :
      ( X23 = X25
      | c_List_Oremove1(X23,c_List_Olist_OCons(X25,X66,X64),X64) = c_List_Olist_OCons(X25,c_List_Oremove1(X23,X66,X64),X64) ),
    file('<stdin>',cls_List_Oremove1_Osimps__2_1) ).

fof(c_0_438_439,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50))
      | c_lessequals(X20,X12,tc_set(X50)) ),
    file('<stdin>',cls_Set_OInt__subset__iff_0) ).

fof(c_0_439_440,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50))
      | c_lessequals(X20,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_OInt__subset__iff_1) ).

fof(c_0_440_441,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50))
      | c_lessequals(X12,X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OUn__subset__iff_0) ).

fof(c_0_441_442,axiom,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50))
      | c_lessequals(X10,X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OUn__subset__iff_1) ).

fof(c_0_442_443,axiom,
    ! [X23,X10,X12,X50] :
      ( ~ c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_Oinsert__subset_1) ).

fof(c_0_443_444,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(c_1,X53,tc_nat)
      | ~ c_lessequals(c_1,X54,tc_nat)
      | c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Oone__le__mult__iff_2) ).

fof(c_0_444_445,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__synth__analz_2) ).

fof(c_0_445_446,axiom,
    ! [X7,X8,X22] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz__Crypt__if_1) ).

fof(c_0_446_447,axiom,
    ! [X29,X81,X50] :
      ( ~ c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X81,c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Un_0) ).

fof(c_0_447_448,axiom,
    ! [X29,X81,X50] :
      ( ~ c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X29,c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Un_1) ).

fof(c_0_448_449,axiom,
    ! [X49,X12,X50] :
      ( ~ c_in(c_insert(X49,X12,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X12,c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__insert_0) ).

fof(c_0_449_450,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | ~ c_less(c_1,X53,tc_nat)
      | c_less(c_div(X54,X53,tc_nat),X54,tc_nat) ),
    file('<stdin>',cls_Divides_Odiv__less__dividend_0) ).

fof(c_0_450_451,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | ~ c_less(c_0,X53,tc_nat)
      | c_less(c_minus(X54,X53,tc_nat),X54,tc_nat) ),
    file('<stdin>',cls_NatArith_Odiff__less_0) ).

fof(c_0_451_452,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_plus(X49,X49,X50),c_0,X50)
      | c_less(X49,c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0) ).

fof(c_0_452_453,axiom,
    ! [X66,X32,X12,X50] :
      ( ~ c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | ~ c_in(X32,c_List_Oset(X66,X50),X50)
      | c_in(X32,X12,X50) ),
    file('<stdin>',cls_List_Oin__listsD__dest_0) ).

fof(c_0_453_454,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_times(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Onat__0__less__mult__iff_2) ).

fof(c_0_454_455,axiom,
    ! [X23,X10,X12,X50] :
      ( ~ c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50))
      | c_in(X23,X10,X50) ),
    file('<stdin>',cls_Set_Oinsert__subset_0) ).

fof(c_0_455_456,axiom,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | ~ c_in(X23,c_List_Oset(X66,X64),X64) ),
    file('<stdin>',cls_List_Odistinct_Osimps__2_0) ).

fof(c_0_456_457,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_Orderings_Omax(X23,X25,X50),X62,X50)
      | c_less(X23,X62,X50) ),
    file('<stdin>',cls_Orderings_Omax__less__iff__conj_0) ).

fof(c_0_457_458,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_Orderings_Omax(X23,X25,X50),X62,X50)
      | c_less(X25,X62,X50) ),
    file('<stdin>',cls_Orderings_Omax__less__iff__conj_1) ).

fof(c_0_458_459,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,c_Orderings_Omin(X23,X25,X50),X50)
      | c_less(X62,X23,X50) ),
    file('<stdin>',cls_Orderings_Omin__less__iff__conj_0) ).

fof(c_0_459_460,axiom,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,c_Orderings_Omin(X23,X25,X50),X50)
      | c_less(X62,X25,X50) ),
    file('<stdin>',cls_Orderings_Omin__less__iff__conj_1) ).

fof(c_0_460_461,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51)
      | c_lessequals(X23,X25,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0) ).

fof(c_0_461_462,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51)
      | c_lessequals(X23,X62,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1) ).

fof(c_0_462_463,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51)
      | c_lessequals(X23,X62,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).

fof(c_0_463_464,axiom,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51)
      | c_lessequals(X25,X62,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1) ).

fof(c_0_464_465,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50)
      | c_lessequals(X57,X52,X50) ),
    file('<stdin>',cls_SetInterval_OatLeastAtMost__iff_0) ).

fof(c_0_465_466,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50)
      | c_lessequals(X52,X56,X50) ),
    file('<stdin>',cls_SetInterval_OatLeastAtMost__iff_1) ).

fof(c_0_466_467,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50)
      | c_lessequals(X57,X52,X50) ),
    file('<stdin>',cls_SetInterval_OatLeastLessThan__iff_0) ).

fof(c_0_467_468,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50)
      | c_less(X52,X56,X50) ),
    file('<stdin>',cls_SetInterval_OatLeastLessThan__iff_1) ).

fof(c_0_468_469,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50)
      | c_less(X57,X52,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanAtMost__iff_0) ).

fof(c_0_469_470,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50)
      | c_lessequals(X52,X56,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanAtMost__iff_1) ).

fof(c_0_470_471,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50)
      | c_less(X57,X52,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanLessThan__iff_0) ).

fof(c_0_471_472,axiom,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50)
      | c_less(X52,X56,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThanLessThan__iff_1) ).

fof(c_0_472_473,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz_ODecrypt__dest_0) ).

fof(c_0_473_474,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_lessequals(X53,X54,tc_nat)
      | c_NatArith_Oof__nat(c_minus(X54,X53,tc_nat),X50) = c_minus(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__diff_0) ).

fof(c_0_474_475,axiom,
    ! [X10,X12,X50] :
      ( ~ c_in(c_Main_OsubsetI__1(X12,X10,X50),X10,X50)
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_OsubsetI_1) ).

fof(c_0_475_476,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | c_in(X26,X10,X50)
      | c_in(X26,c_minus(X12,X10,tc_set(X50)),X50) ),
    file('<stdin>',cls_Set_ODiff__iff_2) ).

fof(c_0_476_477,axiom,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51)
      | c_lessequals(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__minus__iff__number__of_0) ).

fof(c_0_477_478,axiom,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51)
      | c_less(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__minus__iff__number__of_0) ).

fof(c_0_478_479,axiom,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__le__iff__number__of_0) ).

fof(c_0_479_480,axiom,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__less__iff__number__of_0) ).

fof(c_0_480_481,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_divide(c_1,X27,X50),c_0,X50)
      | c_lessequals(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__0__1__iff_0) ).

fof(c_0_481_482,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_divide(c_1,X27,X50),c_0,X50)
      | c_less(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__0__1__iff_0) ).

fof(c_0_482_483,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,c_divide(c_1,X27,X50),X50)
      | c_lessequals(c_0,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__le__divide__1__iff_0) ).

fof(c_0_483_484,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,c_divide(c_1,X27,X50),X50)
      | c_less(c_0,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__less__divide__1__iff_0) ).

fof(c_0_484_485,axiom,
    ! [X23,X10,X12,X50] :
      ( ~ c_in(X23,X10,X50)
      | c_minus(c_insert(X23,X12,X50),X10,tc_set(X50)) = c_minus(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_Oinsert__Diff1_0) ).

fof(c_0_485_486,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_12) ).

fof(c_0_486_487,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_9) ).

fof(c_0_487_488,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_minus(X49,X27,X50),c_0,X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).

fof(c_0_488_489,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_minus(X49,X27,X50),c_0,X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__less__0__iff__less_0) ).

fof(c_0_489_490,axiom,
    ! [X27,X49] :
      ( X49 = c_0
      | c_div(c_plus(X49,X27,tc_IntDef_Oint),X49,tc_IntDef_Oint) = c_plus(c_div(X27,X49,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozdiv__zadd__self1_0) ).

fof(c_0_490_491,axiom,
    ! [X27,X49] :
      ( X49 = c_0
      | c_div(c_plus(X27,X49,tc_IntDef_Oint),X49,tc_IntDef_Oint) = c_plus(c_div(X27,X49,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozdiv__zadd__self2_0) ).

fof(c_0_491_492,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__16_0) ).

fof(c_0_492_493,axiom,
    ! [X53,X54,X21] :
      ( c_less(c_0,X21,tc_nat)
      | c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel1_1) ).

fof(c_0_493_494,axiom,
    ! [X53,X54,X21] :
      ( c_less(c_0,X21,tc_nat)
      | c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Omult__le__cancel2_1) ).

fof(c_0_494_495,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_plus(X49,X49,X50),c_0,X50)
      | c_lessequals(X49,c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0) ).

fof(c_0_495_496,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,c_plus(X49,X49,X50),X50)
      | c_lessequals(c_0,X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0) ).

fof(c_0_496_497,axiom,
    ! [X65,X25,X23,X64] :
      ( ~ c_List_Oop_Amem(X23,c_List_Olist_OCons(X25,X65,X64),X64)
      | c_List_Oop_Amem(X23,X65,X64)
      | X25 = X23 ),
    file('<stdin>',cls_List_Oop_Amem_Osimps__2_0) ).

fof(c_0_497_498,axiom,
    ! [X27,X49,X12,X50] :
      ( ~ c_in(X49,c_insert(X27,X12,X50),X50)
      | c_in(X49,X12,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Set_Oinsert__iff_0) ).

fof(c_0_498_499,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Oless__nat__number__of_2) ).

fof(c_0_499_500,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_inter(X12,X10,X50),X50)
      | c_in(X26,X12,X50) ),
    file('<stdin>',cls_Set_OInt__iff_0) ).

fof(c_0_500_501,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_inter(X12,X10,X50),X50)
      | c_in(X26,X10,X50) ),
    file('<stdin>',cls_Set_OInt__iff_1) ).

fof(c_0_501_502,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X10,c_insert(X49,X12,X50),X50) != c_emptyset
      | c_inter(X10,X12,X50) = c_emptyset ),
    file('<stdin>',cls_Set_Odisjoint__insert__1_1) ).

fof(c_0_502_503,axiom,
    ! [X27,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,c_insert(X27,X10,X50),X50)
      | c_emptyset = c_inter(X12,X10,X50) ),
    file('<stdin>',cls_Set_Odisjoint__insert__2_1) ).

fof(c_0_503_504,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(c_insert(X49,X12,X50),X10,X50) != c_emptyset
      | c_inter(X12,X10,X50) = c_emptyset ),
    file('<stdin>',cls_Set_Oinsert__disjoint__1_1) ).

fof(c_0_504_505,axiom,
    ! [X49,X10,X12,X50] :
      ( c_emptyset != c_inter(c_insert(X49,X12,X50),X10,X50)
      | c_emptyset = c_inter(X12,X10,X50) ),
    file('<stdin>',cls_Set_Oinsert__disjoint__2_1) ).

fof(c_0_505_506,axiom,
    ! [X53] :
      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | X53 = c_0 ),
    file('<stdin>',cls_IntDiv_Ozero__less__zpower__abs__iff_0) ).

fof(c_0_506_507,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_1
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__9_0) ).

fof(c_0_507_508,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__6_1) ).

fof(c_0_508_509,axiom,
    ! [X63,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oless__nat__number__of_1) ).

fof(c_0_509_510,axiom,
    ! [X23,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Finite__Set_OMax(c_insert(X23,X12,X51),X51) = c_Orderings_Omax(X23,c_Finite__Set_OMax(X12,X51),X51) ),
    file('<stdin>',cls_Finite__Set_OMax__insert_0) ).

fof(c_0_510_511,axiom,
    ! [X23,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Finite__Set_OMin(c_insert(X23,X12,X51),X51) = c_Orderings_Omin(X23,c_Finite__Set_OMin(X12,X51),X51) ),
    file('<stdin>',cls_Finite__Set_OMin__insert_0) ).

fof(c_0_511_512,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat)
      | c_lessequals(c_1,X54,tc_nat) ),
    file('<stdin>',cls_Nat_Oone__le__mult__iff_0) ).

fof(c_0_512_513,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat)
      | c_lessequals(c_1,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Oone__le__mult__iff_1) ).

fof(c_0_513_514,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__14_0) ).

fof(c_0_514_515,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X10,X12,X50) != c_emptyset
      | c_in(X49,X10,X50)
      | c_inter(X10,c_insert(X49,X12,X50),X50) = c_emptyset ),
    file('<stdin>',cls_Set_Odisjoint__insert__1_2) ).

fof(c_0_515_516,axiom,
    ! [X27,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,X10,X50)
      | c_in(X27,X12,X50)
      | c_emptyset = c_inter(X12,c_insert(X27,X10,X50),X50) ),
    file('<stdin>',cls_Set_Odisjoint__insert__2_2) ).

fof(c_0_516_517,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_emptyset
      | c_in(X49,X10,X50)
      | c_inter(c_insert(X49,X12,X50),X10,X50) = c_emptyset ),
    file('<stdin>',cls_Set_Oinsert__disjoint__1_2) ).

fof(c_0_517_518,axiom,
    ! [X49,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,X10,X50)
      | c_in(X49,X10,X50)
      | c_emptyset = c_inter(c_insert(X49,X12,X50),X10,X50) ),
    file('<stdin>',cls_Set_Oinsert__disjoint__2_2) ).

fof(c_0_518_519,axiom,
    ! [X66,X53,X52,X50] :
      ( ~ c_less(X52,X53,tc_nat)
      | c_List_Onth(c_List_Otake(X53,X66,X50),X52,X50) = c_List_Onth(X66,X52,X50) ),
    file('<stdin>',cls_List_Onth__take_0) ).

fof(c_0_519_520,axiom,
    ! [X23,X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X23,X12,X50)
      | c_Finite__Set_Ocard(c_insert(X23,X12,X50),X50) = c_Suc(c_Finite__Set_Ocard(X12,X50)) ),
    file('<stdin>',cls_Finite__Set_Ocard__insert__disjoint_0) ).

fof(c_0_520_521,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__6_0) ).

fof(c_0_521_522,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_minus(X53,X54,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Ozero__less__diff_0) ).

fof(c_0_522_523,axiom,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_inter(c_List_Oset(X66,X50),c_List_Oset(X65,X50),X50) = c_emptyset ),
    file('<stdin>',cls_List_Odistinct__append_2) ).

fof(c_0_523_524,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHPair__synth__analz_1) ).

fof(c_0_524_525,axiom,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OGets(X12,X7),X5,tc_Event_Oevent)) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Gets_1) ).

fof(c_0_525_526,axiom,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) ),
    file('<stdin>',cls_Yahalom_OKeyWithNonce__Notes_1) ).

fof(c_0_526_527,axiom,
    ! [X71,X72,X49,X64] :
      ( c_in(X49,c_List_Oset(X71,X64),X64)
      | c_List_Olist__inter(c_List_Olist_OCons(X49,X72,X64),X71,X64) = c_List_Olist__inter(X72,X71,X64) ),
    file('<stdin>',cls_List_Olist__inter_Osimps__2_1) ).

fof(c_0_527_528,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_times(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X54,tc_nat) ),
    file('<stdin>',cls_Nat_Onat__0__less__mult__iff_0) ).

fof(c_0_528_529,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_times(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Onat__0__less__mult__iff_1) ).

fof(c_0_529_530,axiom,
    ! [X62,X60] :
      ( ~ c_less(X60,c_plus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(X60,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Ozle__add1__eq__le_0) ).

fof(c_0_530_531,axiom,
    ! [X62,X60] :
      ( ~ c_lessequals(X60,c_minus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Ozle__diff1__eq_0) ).

fof(c_0_531_532,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(c_Main_OUnionE__1(X12,X20,X50),X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OUnionE_0) ).

fof(c_0_532_533,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(c_Main_OUnion__iff__1(X12,X20,X50),X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OUnion__iff_0) ).

fof(c_0_533_534,axiom,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('<stdin>',cls_Yahalom_OSpy__analz__shrK_1) ).

fof(c_0_534_535,axiom,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('<stdin>',cls_Yahalom_OSpy__see__shrK_1) ).

fof(c_0_535_536,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_5) ).

fof(c_0_536_537,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_7) ).

fof(c_0_537_538,axiom,
    ! [X65,X25,X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_OCons(X25,X65,X50)
      | X66 = c_append(c_List_Orev(X65,X50),c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50) ),
    file('<stdin>',cls_List_Orev__eq__Cons__iff_0) ).

fof(c_0_538_539,axiom,
    ! [X23,X12,X50] :
      ( ~ c_in(c_0,X12,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X12,X50) = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    file('<stdin>',cls_List_Osublist__singleton_0) ).

fof(c_0_539_540,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__17_1) ).

fof(c_0_540_541,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(X12,c_Main_OUnionE__1(X12,X20,X50),X50) ),
    file('<stdin>',cls_Set_OUnionE_1) ).

fof(c_0_541_542,axiom,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(X12,c_Main_OUnion__iff__1(X12,X20,X50),X50) ),
    file('<stdin>',cls_Set_OUnion__iff_1) ).

fof(c_0_542_543,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Opower__le__zero__eq__number__of_5) ).

fof(c_0_543_544,axiom,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | c_in(c_Main_Ofinite__Union__1(X12,X50),X12,tc_set(X50))
      | c_in(c_Union(X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Union_0) ).

fof(c_0_544_545,axiom,
    ! [X55,X52] :
      ( ~ c_lessequals(X52,X55,tc_nat)
      | c_List_Oupt(X52,c_Suc(X55)) = c_append(c_List_Oupt(X52,X55),c_List_Olist_OCons(X55,c_List_Olist_ONil,tc_nat),tc_nat) ),
    file('<stdin>',cls_List_Oupt_Oupt__Suc_0) ).

fof(c_0_545_546,axiom,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat)
      | c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | c_in(c_Message_Omsg_OKey(v_sko__uhi(X22,X8)),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Event_OkeysFor__synth_H_0) ).

fof(c_0_546_547,axiom,
    ! [X23,X10,X12,X50] :
      ( c_in(X23,X12,X50)
      | c_minus(X12,c_insert(X23,X10,X50),tc_set(X50)) = c_minus(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_ODiff__insert0_0) ).

fof(c_0_547_548,axiom,
    ! [X23,X60] :
      ( ~ c_less(c_0,X23,tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Ozero__less__power__nat__eq__number__of_2) ).

fof(c_0_548_549,axiom,
    ! [X66,X23,X64] :
      ( c_in(X23,c_List_Oset(X66,X64),X64)
      | c_List_Oremdups(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Olist_OCons(X23,c_List_Oremdups(X66,X64),X64) ),
    file('<stdin>',cls_List_Oremdups_Osimps__2_1) ).

fof(c_0_549_550,axiom,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    file('<stdin>',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_0) ).

fof(c_0_550_551,axiom,
    ! [X5,X27,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Public_OSpy__spies__bad__privateKey_0) ).

fof(c_0_551_552,axiom,
    ! [X66,X53,X50] :
      ( ~ c_less(X53,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Olast(c_List_Odrop(X53,X66,X50),X50) = c_List_Olast(X66,X50) ),
    file('<stdin>',cls_List_Olast__drop_0) ).

fof(c_0_552_553,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | X23 = c_0 ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_4) ).

fof(c_0_553_554,axiom,
    ! [X32,X20,X12,X50] :
      ( ~ c_in(X32,X20,tc_set(X50))
      | ~ c_in(X12,c_Inter(X20,X50),X50)
      | c_in(X12,X32,X50) ),
    file('<stdin>',cls_Set_OInter__iff_0) ).

fof(c_0_554_555,axiom,
    ! [X23,X53,X50] :
      ( X53 = c_0
      | c_List_Otl(c_List_Oreplicate(X53,X23,X50),X50) = c_List_Oreplicate(c_minus(X53,c_1,tc_nat),X23,X50) ),
    file('<stdin>',cls_List_Otl__replicate_0) ).

fof(c_0_555_556,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(c_0,X49,X50),c_times(c_0,X27,X50),X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if_0) ).

fof(c_0_556_557,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(X49,c_0,X50),c_times(X27,c_0,X50),X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if_0) ).

fof(c_0_557_558,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(c_uminus(X12,tc_set(X50)),c_uminus(X10,tc_set(X50)),tc_set(X50))
      | c_lessequals(X10,X12,tc_set(X50)) ),
    file('<stdin>',cls_Set_OCompl__subset__Compl__iff_0) ).

fof(c_0_558_559,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    file('<stdin>',cls_Parity_Ozero__le__power__eq__number__of_1) ).

fof(c_0_559_560,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | X27 = c_times(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0 ),
    file('<stdin>',cls_NatSimprocs_Odivide__eq__eq__number__of_0) ).

fof(c_0_560_561,axiom,
    ! [X60,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0
      | c_divide(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = X49 ),
    file('<stdin>',cls_NatSimprocs_Odivide__eq__eq__number__of_3) ).

fof(c_0_561_562,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0
      | c_times(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = X27 ),
    file('<stdin>',cls_NatSimprocs_Oeq__divide__eq__number__of_0) ).

fof(c_0_562_563,axiom,
    ! [X60,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | X49 = c_divide(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0 ),
    file('<stdin>',cls_NatSimprocs_Oeq__divide__eq__number__of_3) ).

fof(c_0_563_564,axiom,
    ! [X66,X12,X50] :
      ( c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_Main_Oin__listsI__1(X12,X66,X50),c_List_Oset(X66,X50),X50) ),
    file('<stdin>',cls_List_Oin__listsI_0) ).

fof(c_0_564_565,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_3) ).

fof(c_0_565_566,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OCrypt__synth_1) ).

fof(c_0_566_567,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OCrypt__synth__eq_0) ).

fof(c_0_567_568,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__synth_0) ).

fof(c_0_568_569,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__synth_1) ).

fof(c_0_569_570,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Osynth_OCrypt_0) ).

fof(c_0_570_571,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(X22),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Osynth_OMPair_0) ).

fof(c_0_571_572,axiom,
    ! [X82,X10,X50] :
      ( ~ c_in(X10,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X10,X82,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Diff_0) ).

fof(c_0_572_573,axiom,
    ! [X53,X54,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X49,X50)
      | c_Nat_Opower(X49,X54,X50) != c_Nat_Opower(X49,X53,X50)
      | X54 = X53 ),
    file('<stdin>',cls_Power_Opower__inject__exp_0) ).

fof(c_0_573_574,axiom,
    ! [X25,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X25,X12,X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Orderings_Omin(X25,c_Finite__Set_OMax(X12,X51),X51) = X25 ),
    file('<stdin>',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0) ).

fof(c_0_574_575,axiom,
    ! [X25,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X25,X12,X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Orderings_Omax(X25,c_Finite__Set_OMin(X12,X51),X51) = X25 ),
    file('<stdin>',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0) ).

fof(c_0_575_576,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OCrypt__synth__eq_1) ).

fof(c_0_576_577,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X23,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_lessequals(X23,c_Finite__Set_OMax(X12,X50),X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__ge_0) ).

fof(c_0_577_578,axiom,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X23,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_lessequals(c_Finite__Set_OMin(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__le_0) ).

fof(c_0_578_579,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__10_1) ).

fof(c_0_579_580,axiom,
    ! [X63] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('<stdin>',cls_NatBin_Oone__mod__nat__number__of_1) ).

fof(c_0_580_581,axiom,
    ! [X32,X20,X12,X50] :
      ( ~ c_in(X12,X32,X50)
      | ~ c_in(X32,X20,tc_set(X50))
      | c_in(X12,c_Union(X20,X50),X50) ),
    file('<stdin>',cls_Set_OUnion__iff_2) ).

fof(c_0_581_582,axiom,
    ! [X66,X23,X64] :
      ( ~ c_in(X23,c_List_Oset(X66,X64),X64)
      | c_List_Oremdups(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Oremdups(X66,X64) ),
    file('<stdin>',cls_List_Oremdups_Osimps__2_0) ).

fof(c_0_582_583,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oless__nat__number__of_0) ).

fof(c_0_583_584,axiom,
    ! [X49,X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_insert(X49,X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_OFinites_OinsertI_0) ).

fof(c_0_584_585,axiom,
    ! [X29,X81,X50] :
      ( ~ c_in(X81,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_inter(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Int_0) ).

fof(c_0_585_586,axiom,
    ! [X29,X81,X50] :
      ( ~ c_in(X29,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_inter(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Int_1) ).

fof(c_0_586_587,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Odrop(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_OCons(X23,X66,X50) ),
    file('<stdin>',cls_List_Odrop__Cons__number__of_0) ).

fof(c_0_587_588,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_plus(X49,X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1) ).

fof(c_0_588_589,axiom,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = c_0 ),
    file('<stdin>',cls_NatSimprocs_Odivide__eq__eq__number__of_4) ).

fof(c_0_589_590,axiom,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oeq__divide__eq__number__of_4) ).

fof(c_0_590_591,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__12_1) ).

fof(c_0_591_592,axiom,
    ! [X8,X22] :
      ( c_in(X8,c_Message_OkeysFor(c_Message_Oanalz(X22)),tc_nat)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X8),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz__insert__Key_0) ).

fof(c_0_592_593,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(X27,c_0,X50)
      | c_lessequals(c_divide(c_1,X27,X50),c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__le__0__1__iff_1) ).

fof(c_0_593_594,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | c_less(c_divide(c_1,X27,X50),c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__less__0__1__iff_1) ).

fof(c_0_594_595,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,X27,X50)
      | c_lessequals(c_0,c_divide(c_1,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__le__divide__1__iff_1) ).

fof(c_0_595_596,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | c_less(c_0,c_divide(c_1,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__less__divide__1__iff_1) ).

fof(c_0_596_597,axiom,
    ! [X25,X23] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_IntDef_Oint),c_Numeral_Onumber__of(X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_IntDef_Oint),c_Numeral_Onumber__of(X23,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    file('<stdin>',cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_0) ).

fof(c_0_597_598,axiom,
    ! [X25,X23] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_IntDef_Oint),c_Numeral_Onumber__of(X23,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_IntDef_Oint),c_Numeral_Onumber__of(X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_1) ).

fof(c_0_598_599,axiom,
    ! [X25,X23] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_nat),c_Numeral_Onumber__of(X25,tc_nat),tc_nat)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_nat),c_Numeral_Onumber__of(X23,tc_nat),tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Odvd__eq__mod__eq__0__number__of_0) ).

fof(c_0_599_600,axiom,
    ! [X25,X23] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_nat),c_Numeral_Onumber__of(X23,tc_nat),tc_nat) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_nat),c_Numeral_Onumber__of(X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Odvd__eq__mod__eq__0__number__of_1) ).

fof(c_0_600_601,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_minus(X49,X27,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

fof(c_0_601_602,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_minus(X49,X27,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__less__0__iff__less_1) ).

fof(c_0_602_603,axiom,
    ! [X27,X49,X50] :
      ( ~ c_in(X27,c_insert(X49,c_emptyset,X50),X50)
      | X27 = X49 ),
    file('<stdin>',cls_Set_OsingletonD__dest_0) ).

fof(c_0_603_604,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_Nat_Opower(c_HOL_Oabs(X23,X50),c_Numeral_Onumber__of(X60,tc_nat),X50) = c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50) ),
    file('<stdin>',cls_Parity_Opower__even__abs__number__of_0) ).

fof(c_0_604_605,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_plus(X49,X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1) ).

fof(c_0_605_606,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_0,c_plus(X49,X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1) ).

fof(c_0_606_607,axiom,
    ! [X53,X52] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_minus(X53,c_Suc(X52),tc_nat),X53,tc_nat) ),
    file('<stdin>',cls_Nat_Odiff__Suc__less_0) ).

fof(c_0_607_608,axiom,
    ! [X21,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_minus(c_insert(X21,c_emptyset,X50),c_SetInterval_OlessThan(X21,X50),tc_set(X50)) = c_insert(X21,c_emptyset,X50) ),
    file('<stdin>',cls_SetInterval_Osingle__Diff__lessThan_0) ).

fof(c_0_608_609,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__10_0) ).

fof(c_0_609_610,axiom,
    ! [X20,X12,X50] :
      ( c_in(X12,c_Inter(X20,X50),X50)
      | c_in(c_Main_OInterI__1(X12,X20,X50),X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OInterI_0) ).

fof(c_0_610_611,axiom,
    ! [X20,X12,X50] :
      ( c_in(X12,c_Inter(X20,X50),X50)
      | c_in(c_Main_OInter__iff__1(X12,X20,X50),X20,tc_set(X50)) ),
    file('<stdin>',cls_Set_OInter__iff_1) ).

fof(c_0_611_612,axiom,
    ! [X65,X25,X23,X64] :
      ( ~ c_List_Oop_Amem(X23,X65,X64)
      | c_List_Oop_Amem(X23,c_List_Olist_OCons(X25,X65,X64),X64) ),
    file('<stdin>',cls_List_Oop_Amem_Osimps__2_2) ).

fof(c_0_612_613,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | c_in(X26,c_union(X12,X10,X50),X50) ),
    file('<stdin>',cls_Set_OUn__iff_1) ).

fof(c_0_613_614,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | c_in(X26,c_union(X12,X10,X50),X50) ),
    file('<stdin>',cls_Set_OUn__iff_2) ).

fof(c_0_614_615,axiom,
    ! [X27,X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(X49,c_insert(X27,X12,X50),X50) ),
    file('<stdin>',cls_Set_Oinsert__iff_2) ).

fof(c_0_615_616,axiom,
    ! [X25,X53,X52,X50] :
      ( ~ c_less(X52,X53,tc_nat)
      | c_List_Onth(c_List_Oreplicate(X53,X25,X50),X52,X50) = X25 ),
    file('<stdin>',cls_List_Onth__replicate_0) ).

fof(c_0_616_617,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__12_0) ).

fof(c_0_617_618,axiom,
    ! [X25,X53] :
      ( ~ c_lessequals(X25,X53,tc_nat)
      | c_minus(X53,c_minus(X53,X25,tc_nat),tc_nat) = X25 ),
    file('<stdin>',cls_NatArith_Odiff__diff__cancel_0) ).

fof(c_0_618_619,axiom,
    ! [X25,X53] :
      ( ~ c_lessequals(X53,X25,tc_nat)
      | c_plus(c_minus(X25,X53,tc_nat),X53,tc_nat) = X25 ),
    file('<stdin>',cls_Nat_Ole__add__diff__inverse2_0) ).

fof(c_0_619_620,axiom,
    ! [X25,X53] :
      ( ~ c_lessequals(X53,X25,tc_nat)
      | c_plus(X53,c_minus(X25,X53,tc_nat),tc_nat) = X25 ),
    file('<stdin>',cls_Nat_Ole__add__diff__inverse_0) ).

fof(c_0_620_621,axiom,
    ! [X53,X52] :
      ( ~ c_lessequals(c_1,X52,tc_nat)
      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X52,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Power_Onat__one__le__power_0) ).

fof(c_0_621_622,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_HOL_Oabs(c_divide(X49,X27,X50),X50) = c_divide(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oabs__divide_0) ).

fof(c_0_622_623,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_times(X49,X27,X50),X50) = c_times(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__mult__distrib_0) ).

fof(c_0_623_624,axiom,
    ! [X53] :
      ( ~ c_less(c_0,c_Nat_Opower(c_0,X53,tc_nat),tc_nat)
      | X53 = c_0 ),
    file('<stdin>',cls_Power_Onat__zero__less__power__iff_0) ).

fof(c_0_624_625,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    file('<stdin>',cls_Parity_Ozero__less__power__eq__number__of_3) ).

fof(c_0_625_626,axiom,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_0,c_minus(X53,X54,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Ozero__less__diff_1) ).

fof(c_0_626_627,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeast(X23,X50),c_SetInterval_OatLeast(X25,X50),tc_set(X50))
      | c_lessequals(X25,X23,X50) ),
    file('<stdin>',cls_SetInterval_OatLeast__subset__iff_0) ).

fof(c_0_627_628,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(c_SetInterval_OatMost(X23,X50),c_SetInterval_OatMost(X25,X50),tc_set(X50))
      | c_lessequals(X23,X25,X50) ),
    file('<stdin>',cls_SetInterval_OatMost__subset__iff_0) ).

fof(c_0_628_629,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OgreaterThan(X23,X50),c_SetInterval_OgreaterThan(X25,X50),tc_set(X50))
      | c_lessequals(X25,X23,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThan__subset__iff_0) ).

fof(c_0_629_630,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OlessThan(X23,X50),c_SetInterval_OlessThan(X25,X50),tc_set(X50))
      | c_lessequals(X23,X25,X50) ),
    file('<stdin>',cls_SetInterval_OlessThan__subset__iff_0) ).

fof(c_0_630_631,axiom,
    ! [X25,X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_times(X53,X25,tc_nat),X53,tc_nat) = X25 ),
    file('<stdin>',cls_Divides_Odiv__mult__self1__is__m_0) ).

fof(c_0_631_632,axiom,
    ! [X25,X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_times(X25,X53,tc_nat),X53,tc_nat) = X25 ),
    file('<stdin>',cls_Divides_Odiv__mult__self__is__m_0) ).

fof(c_0_632_633,axiom,
    ! [X25,X50] :
      ( X25 = c_List_Olist_ONil
      | c_append(c_List_Obutlast(X25,X50),c_List_Olist_OCons(c_List_Olast(X25,X50),c_List_Olist_ONil,X50),X50) = X25 ),
    file('<stdin>',cls_List_Oappend__butlast__last__id_0) ).

fof(c_0_633_634,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_lessequals(c_Divides_Oop_Amod(X54,X53,tc_nat),X53,tc_nat) ),
    file('<stdin>',cls_Divides_Omod__le__divisor_0) ).

fof(c_0_634_635,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_Divides_Oop_Amod(X54,X53,tc_nat),X53,tc_nat) ),
    file('<stdin>',cls_Divides_Omod__less__divisor_0) ).

fof(c_0_635_636,axiom,
    ! [X27,X49] :
      ( ~ c_less(X27,c_0,tc_IntDef_Oint)
      | c_less(X27,c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Oneg__mod__bound_0) ).

fof(c_0_636_637,axiom,
    ! [X27,X49] :
      ( ~ c_less(c_0,X27,tc_IntDef_Oint)
      | c_less(c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),X27,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Opos__mod__bound_0) ).

fof(c_0_637_638,axiom,
    ! [X62,X60] :
      ( ~ c_lessequals(X60,X62,tc_IntDef_Oint)
      | c_less(X60,c_plus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Ozle__add1__eq__le_1) ).

fof(c_0_638_639,axiom,
    ! [X62,X60] :
      ( ~ c_less(X60,X62,tc_IntDef_Oint)
      | c_lessequals(X60,c_minus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Ozle__diff1__eq_1) ).

fof(c_0_639_640,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__13_1) ).

fof(c_0_640_641,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X66 = X65 ),
    file('<stdin>',cls_List_Oappend__eq__append__conv_0) ).

fof(c_0_641_642,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X68 = X67 ),
    file('<stdin>',cls_List_Oappend__eq__append__conv_1) ).

fof(c_0_642_643,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X68,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X66 = X65 ),
    file('<stdin>',cls_List_Oappend__eq__append__conv_2) ).

fof(c_0_643_644,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X68,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X68 = X67 ),
    file('<stdin>',cls_List_Oappend__eq__append__conv_3) ).

fof(c_0_644_645,axiom,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | c_in(X26,X10,X50) ),
    file('<stdin>',cls_Set_OsubsetD_0) ).

fof(c_0_645_646,axiom,
    ! [X27,X49] :
      ( ~ c_less(X27,c_0,tc_IntDef_Oint)
      | c_lessequals(c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Oneg__mod__sign_0) ).

fof(c_0_646_647,axiom,
    ! [X27,X49] :
      ( ~ c_less(c_0,X27,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Opos__mod__sign_0) ).

fof(c_0_647_648,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Oadd__gr__0_1) ).

fof(c_0_648_649,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat) ),
    file('<stdin>',cls_Nat_Oadd__gr__0_2) ).

fof(c_0_649_650,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat)
      | c_less(c_0,X25,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__power_1) ).

fof(c_0_650_651,axiom,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,X53,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__power_1) ).

fof(c_0_651_652,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_plus(X49,X27,X50),X50) = c_plus(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Ominus__add__distrib_0) ).

fof(c_0_652_653,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_uminus(c_LOrder_Ojoin(X49,X27,X50),X50) = c_LOrder_Omeet(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__join__eq__meet_0) ).

fof(c_0_653_654,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_uminus(c_LOrder_Omeet(X49,X27,X50),X50) = c_LOrder_Ojoin(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__meet__eq__join_0) ).

fof(c_0_654_655,axiom,
    ! [X48,X94,X50] :
      ( ~ c_in(X94,X48,tc_prod(X50,X50))
      | c_in(X94,c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    file('<stdin>',cls_Transitive__Closure_Or__into__rtrancl_0) ).

fof(c_0_655_656,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X10,X12,tc_set(X50))
      | c_lessequals(c_uminus(X12,tc_set(X50)),c_uminus(X10,tc_set(X50)),tc_set(X50)) ),
    file('<stdin>',cls_Set_OCompl__subset__Compl__iff_1) ).

fof(c_0_656_657,axiom,
    ! [X5,X7,X12] :
      ( c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X5) ),
    file('<stdin>',cls_Event_Oknows__Spy__Notes_1) ).

fof(c_0_657_658,axiom,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | ~ c_in(X26,c_uminus(X12,tc_set(X50)),X50) ),
    file('<stdin>',cls_Set_OCompl__iff_0) ).

fof(c_0_658_659,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_uminus(c_Numeral_Onumber__of(X60,X50),X50),X62,X50) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X60),X50),X62,X50) ),
    file('<stdin>',cls_Numeral_Ominus__number__of__mult_0) ).

fof(c_0_659_660,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_plus(X60,X62,tc_IntDef_Oint),X50) = c_plus(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__add_0) ).

fof(c_0_660_661,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_minus(X60,X62,tc_IntDef_Oint),X50) = c_minus(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__diff_0) ).

fof(c_0_661_662,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_times(X60,X62,tc_IntDef_Oint),X50) = c_times(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__mult_0) ).

fof(c_0_662_663,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_plus(X54,X53,tc_nat),X50) = c_plus(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__add_0) ).

fof(c_0_663_664,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_times(X54,X53,tc_nat),X50) = c_times(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__mult_0) ).

fof(c_0_664_665,axiom,
    ! [X62,X60] :
      ( ~ c_less(X60,X62,tc_IntDef_Oint)
      | ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat) ),
    file('<stdin>',cls_IntDef_Ozless__nat__conj_2) ).

fof(c_0_665_666,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Oless__nat__number__of_3) ).

fof(c_0_666_667,axiom,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(X26,c_times(X26,X27,X50),X50) = c_divide(c_1,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if1_1) ).

fof(c_0_667_668,axiom,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(X26,c_times(X27,X26,X50),X50) = c_divide(c_1,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if1_1) ).

fof(c_0_668_669,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_uminus(X27,X50),c_uminus(X49,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__le__iff__le_0) ).

fof(c_0_669_670,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_uminus(X27,X50),c_uminus(X49,X50),X50)
      | c_less(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__less__iff__less_0) ).

fof(c_0_670_671,axiom,
    ! [X60,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X60,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Opower__nat__number__of__number__of_0) ).

fof(c_0_671_672,axiom,
    ! [X23,X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Parity_Oeven(X53,tc_nat)
      | c_Nat_Opower(c_uminus(X23,X50),X53,X50) = c_uminus(c_Nat_Opower(X23,X53,X50),X50) ),
    file('<stdin>',cls_Parity_Opower__minus__odd_0) ).

fof(c_0_672_673,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50)
      | c_lessequals(X60,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__le__iff_0) ).

fof(c_0_673_674,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__less__iff_0) ).

fof(c_0_674_675,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50)
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_NatArith_Oof__nat__le__iff_0) ).

fof(c_0_675_676,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_NatArith_Oof__nat__less__iff_0) ).

fof(c_0_676_677,axiom,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),X53,X50),X50)
      | X49 = c_0 ),
    file('<stdin>',cls_Power_Ozero__less__power__abs__iff_1) ).

fof(c_0_677_678,axiom,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),X53,X50),X50) ),
    file('<stdin>',cls_Power_Ozero__le__power__abs_0) ).

fof(c_0_678_679,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_1 != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__7_0) ).

fof(c_0_679_680,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__synth__analz_0) ).

fof(c_0_680_681,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__synth__analz_1) ).

fof(c_0_681_682,axiom,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(X66,X64)
      | c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | c_in(X23,c_List_Oset(X66,X64),X64) ),
    file('<stdin>',cls_List_Odistinct_Osimps__2_2) ).

fof(c_0_682_683,axiom,
    ! [X5,X26] :
      ( ~ c_in(X26,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X26,c_Event_Oused(X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(c_0_683_684,axiom,
    ! [X63,X61] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_2) ).

fof(c_0_684_685,axiom,
    ! [X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),c_0,X50),X50) ),
    file('<stdin>',cls_Power_Ozero__less__power__abs__iff_2) ).

fof(c_0_685_686,axiom,
    ! [X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omin(X23,c_Orderings_Omin(X23,X25,X51),X51) = c_Orderings_Omin(X23,X25,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0) ).

fof(c_0_686_687,axiom,
    ! [X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omax(X23,c_Orderings_Omax(X23,X25,X51),X51) = c_Orderings_Omax(X23,X25,X51) ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_0) ).

fof(c_0_687_688,axiom,
    ! [X10,X12,X50] :
      ( c_in(c_Main_OsubsetI__1(X12,X10,X50),X12,X50)
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_OsubsetI_0) ).

fof(c_0_688_689,axiom,
    ! [X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X7),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OHash__synth_0) ).

fof(c_0_689_690,axiom,
    ! [X23,X60] :
      ( c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Ozero__less__power__nat__eq__number__of_1) ).

fof(c_0_690_691,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X23,X50),X50) = c_uminus(c_Numeral_Onumber__of(X23,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__6_0) ).

fof(c_0_691_692,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_Numeral_Onumber__of(X25,X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__1_1) ).

fof(c_0_692_693,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_less(c_0,X25,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__power_2) ).

fof(c_0_693_694,axiom,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_less(c_0,X53,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__power_2) ).

fof(c_0_694_695,axiom,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_Numeral_Onumber__of(X61,X50),c_1,X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__5_0) ).

fof(c_0_695_696,axiom,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_1,c_uminus(X27,X51),X51)
      | c_lessequals(X27,c_uminus(c_1,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__minus__iff__1_0) ).

fof(c_0_696_697,axiom,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_1,c_uminus(X27,X51),X51)
      | c_less(X27,c_uminus(c_1,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__minus__iff__1_0) ).

fof(c_0_697_698,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_uminus(c_divide(c_1,X23,X50),X50) ),
    file('<stdin>',cls_NatSimprocs_Ominus1__divide_0) ).

fof(c_0_698_699,axiom,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(X49,X51),c_1,X51)
      | c_lessequals(c_uminus(c_1,X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__le__iff__1_0) ).

fof(c_0_699_700,axiom,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(X49,X51),c_1,X51)
      | c_less(c_uminus(c_1,X51),X49,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__less__iff__1_0) ).

fof(c_0_700_701,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__difference_0) ).

fof(c_0_701_702,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__difference_1) ).

fof(c_0_702_703,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__sum_0) ).

fof(c_0_703_704,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X25,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__sum_1) ).

fof(c_0_704_705,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__sum_0) ).

fof(c_0_705_706,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__sum_1) ).

fof(c_0_706_707,axiom,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(X27,c_uminus(c_1,X51),X51)
      | c_lessequals(c_1,c_uminus(X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Ole__minus__iff__1_1) ).

fof(c_0_707_708,axiom,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(X27,c_uminus(c_1,X51),X51)
      | c_less(c_1,c_uminus(X27,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oless__minus__iff__1_1) ).

fof(c_0_708_709,axiom,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(c_1,X51),X49,X51)
      | c_lessequals(c_uminus(X49,X51),c_1,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__le__iff__1_1) ).

fof(c_0_709_710,axiom,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(c_1,X51),X49,X51)
      | c_less(c_uminus(X49,X51),c_1,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__less__iff__1_1) ).

fof(c_0_710_711,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_uminus(X27,X50),X50) = c_uminus(c_divide(X49,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__minus__right_0) ).

fof(c_0_711_712,axiom,
    ! [X12,X50] :
      ( ~ c_in(c_Pow(X12,X50),c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | c_in(X12,c_Finite__Set_OFinites,tc_set(X50)) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Pow__iff_0) ).

fof(c_0_712_713,axiom,
    ! [X60,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,c_Numeral_Onumber__of(X60,tc_nat),X50) != c_0
      | c_less(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Opower__eq__0__iff__number__of_1) ).

fof(c_0_713_714,axiom,
    ! [X23,X12,X50] :
      ( c_in(c_0,X12,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X12,X50) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Osublist__singleton_1) ).

fof(c_0_714_715,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__product_0) ).

fof(c_0_715_716,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__product_0) ).

fof(c_0_716_717,axiom,
    ! [X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | c_lessequals(c_Finite__Set_OMin(X12,X51),c_Finite__Set_OMax(X12,X51),X51)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0) ).

fof(c_0_717_718,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X63),tc_nat) ),
    file('<stdin>',cls_NatBin_Oadd__nat__number__of_2) ).

fof(c_0_718_719,axiom,
    ! [X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X50) = c_1 ),
    file('<stdin>',cls_NatBin_Oone__power2_0) ).

fof(c_0_719_720,axiom,
    ! [X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X50) = c_0 ),
    file('<stdin>',cls_NatBin_Ozero__power2_0) ).

fof(c_0_720_721,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_uminus(X49,X50),X27,X50) = c_uminus(c_divide(X49,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__minus__left_0) ).

fof(c_0_721_722,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(c_uminus(X49,X50),X27,X50) = c_uminus(c_times(X49,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__minus__left_0) ).

fof(c_0_722_723,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(X49,c_uminus(X27,X50),X50) = c_uminus(c_times(X49,X27,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__minus__right_0) ).

fof(c_0_723_724,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_0 ),
    file('<stdin>',cls_Parity_Opower__eq__0__iff__number__of_2) ).

fof(c_0_724_725,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X25,X23,X50)
      | c_lessequals(c_SetInterval_OatLeast(X23,X50),c_SetInterval_OatLeast(X25,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_OatLeast__subset__iff_1) ).

fof(c_0_725_726,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X23,X25,X50)
      | c_lessequals(c_SetInterval_OatMost(X23,X50),c_SetInterval_OatMost(X25,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_OatMost__subset__iff_1) ).

fof(c_0_726_727,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X25,X23,X50)
      | c_lessequals(c_SetInterval_OgreaterThan(X23,X50),c_SetInterval_OgreaterThan(X25,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_OgreaterThan__subset__iff_1) ).

fof(c_0_727_728,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X23,X25,X50)
      | c_lessequals(c_SetInterval_OlessThan(X23,X50),c_SetInterval_OlessThan(X25,X50),tc_set(X50)) ),
    file('<stdin>',cls_SetInterval_OlessThan__subset__iff_1) ).

fof(c_0_728_729,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Onth(c_List_Olist_OCons(X23,X66,X50),c_Numeral_Onumber__of(X61,tc_nat),X50) = X23 ),
    file('<stdin>',cls_List_Onth__Cons__number__of_0) ).

fof(c_0_729_730,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg)
      | c_Message_Oparts(c_insert(X7,X22,tc_Message_Omsg)) = c_Message_Oparts(X22) ),
    file('<stdin>',cls_Message_Oparts__cut__eq_0) ).

fof(c_0_730_731,axiom,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | c_List_Odistinct(X66,X64) ),
    file('<stdin>',cls_List_Odistinct_Osimps__2_1) ).

fof(c_0_731_732,axiom,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    file('<stdin>',cls_List_Odistinct__append_0) ).

fof(c_0_732_733,axiom,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_List_Odistinct(X65,X50) ),
    file('<stdin>',cls_List_Odistinct__append_1) ).

fof(c_0_733_734,axiom,
    ! [X66,X53,X50] :
      ( ~ c_List_Odistinct(c_List_Orotate(X53,X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    file('<stdin>',cls_List_Odistinct__rotate_0) ).

fof(c_0_734_735,axiom,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X48,X50,X50),X50)
      | c_Wellfounded__Recursion_Oacyclic(X48,X50) ),
    file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__converse_0) ).

fof(c_0_735_736,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Otake(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Otake__Cons__number__of_0) ).

fof(c_0_736_737,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__16_1) ).

fof(c_0_737_738,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X61,tc_nat) ),
    file('<stdin>',cls_NatBin_Oadd__nat__number__of_1) ).

fof(c_0_738_739,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X61,tc_nat) ),
    file('<stdin>',cls_NatBin_Omod__nat__number__of_1) ).

fof(c_0_739_740,axiom,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat)
      | c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | X8 = c_Message_OinvKey(v_sko__uhi(X22,X8)) ),
    file('<stdin>',cls_Event_OkeysFor__synth_H_1) ).

fof(c_0_740_741,axiom,
    ! [X23,X53] :
      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X23,tc_IntDef_Oint),X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | X23 = c_0 ),
    file('<stdin>',cls_IntDiv_Ozero__less__zpower__abs__iff_1) ).

fof(c_0_741_742,axiom,
    ! [X66,X23,X64] :
      ( X66 = c_List_Olist_ONil
      | c_List_Obutlast(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Olist_OCons(X23,c_List_Obutlast(X66,X64),X64) ),
    file('<stdin>',cls_List_Obutlast_Osimps__2_1) ).

fof(c_0_742_743,axiom,
    ! [X65,X66,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Otl(c_append(X66,X65,X50),X50) = c_append(c_List_Otl(X66,X50),X65,X50) ),
    file('<stdin>',cls_List_Otl__append2_0) ).

fof(c_0_743_744,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_uminus(X27,X50),c_uminus(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__le__iff__le_1) ).

fof(c_0_744_745,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_uminus(X27,X50),c_uminus(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__less__iff__less_1) ).

fof(c_0_745_746,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_OrderedGroup_Onprt(X49,X50),c_OrderedGroup_Onprt(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Onprt__mono_0) ).

fof(c_0_746_747,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_OrderedGroup_Opprt(X49,X50),c_OrderedGroup_Opprt(X27,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Opprt__mono_0) ).

fof(c_0_747_748,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X60,X23),X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X60,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__12_0) ).

fof(c_0_748_749,axiom,
    ! [X25,X53,X50] :
      ( c_Divides_Oop_Amod(X53,c_Nat_Osize(X25,tc_List_Olist(X50)),tc_nat) != c_0
      | c_List_Orotate(X53,X25,X50) = X25 ),
    file('<stdin>',cls_List_Orotate__id_0) ).

fof(c_0_749_750,axiom,
    ! [X25,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),X53,tc_nat)
      | c_List_Otake(X53,X25,X50) = X25 ),
    file('<stdin>',cls_List_Otake__all_0) ).

fof(c_0_750_751,axiom,
    ! [X66,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X66,tc_List_Olist(X50)),X53,tc_nat)
      | c_List_Odrop(X53,X66,X50) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Odrop__eq__Nil_1) ).

fof(c_0_751_752,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__14_1) ).

fof(c_0_752_753,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X60,X62,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__le__iff_1) ).

fof(c_0_753_754,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X60,X62,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__less__iff_1) ).

fof(c_0_754_755,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__le__iff_1) ).

fof(c_0_755_756,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(X54,X53,tc_nat)
      | c_less(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__less__iff_1) ).

fof(c_0_756_757,axiom,
    ! [X25,X23,X17,X50] :
      ( ~ c_Infinite__Set_Oatmost__one(X17,X50)
      | ~ c_in(X25,X17,X50)
      | ~ c_in(X23,X17,X50)
      | X25 = X23 ),
    file('<stdin>',cls_Infinite__Set_Oatmost__one__unique_0) ).

fof(c_0_757_758,axiom,
    ! [X10,X12,X50] :
      ( ~ c_in(X12,c_Pow(X10,X50),tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_OPow__iff_0) ).

fof(c_0_758_759,axiom,
    ! [X25,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),c_1,tc_nat)
      | c_List_Orotate(X53,X25,X50) = X25 ),
    file('<stdin>',cls_List_Orotate__length01_0) ).

fof(c_0_759_760,axiom,
    ! [X25] :
      ( ~ c_less(c_0,X25,tc_nat)
      | c_Suc(c_minus(X25,c_Suc(c_0),tc_nat)) = X25 ),
    file('<stdin>',cls_Nat_OSuc__pred_0) ).

fof(c_0_760_761,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__power_0) ).

fof(c_0_761_762,axiom,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__power_0) ).

fof(c_0_762_763,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_0 = c_Numeral_Onumber__of(X25,X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__6_1) ).

fof(c_0_763_764,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_11) ).

fof(c_0_764_765,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_8) ).

fof(c_0_765_766,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X10,X12,tc_set(X50))
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | X12 = X10 ),
    file('<stdin>',cls_Set_Osubset__antisym_0) ).

fof(c_0_766_767,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__parts_0) ).

fof(c_0_767_768,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__parts_1) ).

fof(c_0_768_769,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__analz_0) ).

fof(c_0_769_770,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OMPair__analz_1) ).

fof(c_0_770_771,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Event_Oused(X22),tc_Message_Omsg)
      | c_in(X28,c_Event_Oused(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Public_OMPair__used_0) ).

fof(c_0_771_772,axiom,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Event_Oused(X22),tc_Message_Omsg)
      | c_in(X7,c_Event_Oused(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Public_OMPair__used_1) ).

fof(c_0_772_773,axiom,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oparts_OBody__dest_0) ).

fof(c_0_773_774,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_0,X50)
      | c_less(X49,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__negative__iff__negative_0) ).

fof(c_0_774_775,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,c_HOL_Oinverse(X49,X50),X50)
      | c_lessequals(c_0,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_0) ).

fof(c_0_775_776,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_0,X50)
      | c_lessequals(X49,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_0) ).

fof(c_0_776_777,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,c_HOL_Oinverse(X49,X50),X50)
      | c_less(c_0,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__positive__iff__positive_0) ).

fof(c_0_777_778,axiom,
    ! [X10,X12,X50] :
      ( ~ c_less(X12,X10,tc_set(X50))
      | ~ c_lessequals(X10,X12,tc_set(X50)) ),
    file('<stdin>',cls_Set_OpsubsetE_0) ).

fof(c_0_778_779,axiom,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Pow(X12,X50),c_Finite__Set_OFinites,tc_set(tc_set(X50))) ),
    file('<stdin>',cls_Finite__Set_Ofinite__Pow__iff_1) ).

fof(c_0_779_780,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),X50),X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X60,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__4_0) ).

fof(c_0_780_781,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_divide(X49,X27,X50),X50) = c_divide(X27,X49,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__divide_0) ).

fof(c_0_781_782,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X26,X49,X50) != c_divide(X26,X27,X50)
      | X49 = X27
      | X26 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__cancel__left_0) ).

fof(c_0_782_783,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X26,X50) != c_divide(X27,X26,X50)
      | X49 = X27
      | X26 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__cancel__right_0) ).

fof(c_0_783_784,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeast(X21,X50),X50)
      | c_lessequals(X21,X52,X50) ),
    file('<stdin>',cls_SetInterval_OatLeast__iff_0) ).

fof(c_0_784_785,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatMost(X21,X50),X50)
      | c_lessequals(X52,X21,X50) ),
    file('<stdin>',cls_SetInterval_OatMost__iff_0) ).

fof(c_0_785_786,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThan(X21,X50),X50)
      | c_less(X21,X52,X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThan__iff_0) ).

fof(c_0_786_787,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OlessThan(X21,X50),X50)
      | c_less(X52,X21,X50) ),
    file('<stdin>',cls_SetInterval_OlessThan__iff_0) ).

fof(c_0_787_788,axiom,
    ! [X53,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X53,X50),X50) = c_1 ),
    file('<stdin>',cls_IntArith_Oabs__power__minus__one_0) ).

fof(c_0_788_789,axiom,
    ! [X61] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X61,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X61,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Oint__eq__iff__number__of_2) ).

fof(c_0_789_790,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_0 ),
    file('<stdin>',cls_IntArith_Oarith__special__8_1) ).

fof(c_0_790_791,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_0,c_uminus(X49,X50),X50)
      | c_lessequals(X49,c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__le__iff__le_0) ).

fof(c_0_791_792,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_0,c_uminus(X49,X50),X50)
      | c_less(X49,c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__less__iff__less_0) ).

fof(c_0_792_793,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_uminus(X49,X50),c_0,X50)
      | c_lessequals(c_0,X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).

fof(c_0_793_794,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_uminus(X49,X50),c_0,X50)
      | c_less(c_0,X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__less__0__iff__less_0) ).

fof(c_0_794_795,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X62,X50),X50)
      | c_lessequals(c_0,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__0__le__iff_0) ).

fof(c_0_795_796,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_IntDef_Oof__int(X62,X50),X50)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__0__less__iff_0) ).

fof(c_0_796_797,axiom,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_IntDef_Oof__int(X60,X50),c_0,X50)
      | c_lessequals(X60,c_0,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__le__0__iff_0) ).

fof(c_0_797_798,axiom,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_IntDef_Oof__int(X60,X50),c_0,X50)
      | c_less(X60,c_0,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Oof__int__less__0__iff_0) ).

fof(c_0_798_799,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_0,c_NatArith_Oof__nat(X53,X50),X50)
      | c_less(c_0,X53,tc_nat) ),
    file('<stdin>',cls_NatArith_Oof__nat__0__less__iff_0) ).

fof(c_0_799_800,axiom,
    ! [X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Finite__Set_OMax(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMax__in_0) ).

fof(c_0_800_801,axiom,
    ! [X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Finite__Set_OMin(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_OMin__in_0) ).

fof(c_0_801_802,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_in(X12,c_Pow(X10,X50),tc_set(X50)) ),
    file('<stdin>',cls_Set_OPow__iff_1) ).

fof(c_0_802_803,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_minus(X49,X27,X50),X50) = c_minus(X27,X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Ominus__diff__eq_0) ).

fof(c_0_803_804,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X26,X49,X50) != c_times(X26,X27,X50)
      | X49 = X27
      | X26 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Ofield__mult__cancel__left_0) ).

fof(c_0_804_805,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,X26,X50) != c_times(X27,X26,X50)
      | X49 = X27
      | X26 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Ofield__mult__cancel__right_0) ).

fof(c_0_805_806,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X50)
      | c_plus(X49,X27,X50) != c_plus(X49,X26,X50)
      | X27 = X26 ),
    file('<stdin>',cls_OrderedGroup_Oadd__left__cancel_0) ).

fof(c_0_806_807,axiom,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X50)
      | c_plus(X27,X49,X50) != c_plus(X26,X49,X50)
      | X27 = X26 ),
    file('<stdin>',cls_OrderedGroup_Oadd__right__cancel_0) ).

fof(c_0_807_808,axiom,
    ! [X76,X32,X50] :
      ( ~ c_in(X32,c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Olist_ONil != c_List_Oconcat(X76,X50)
      | X32 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_ONil__eq__concat__conv_0) ).

fof(c_0_808_809,axiom,
    ! [X76,X32,X50] :
      ( ~ c_in(X32,c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Oconcat(X76,X50) != c_List_Olist_ONil
      | X32 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oconcat__eq__Nil__conv_0) ).

fof(c_0_809_810,axiom,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X26,X49,X50),X26,X50) = X49 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if2_1) ).

fof(c_0_810_811,axiom,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X49,X26,X50),X26,X50) = X49 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if2_1) ).

fof(c_0_811_812,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(c_divide(X27,X49,X50),X49,X50) = X27 ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__self__left_1) ).

fof(c_0_812_813,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(X49,c_divide(X27,X49,X50),X50) = X27 ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__self__right_1) ).

fof(c_0_813_814,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_1,c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X60)),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__4_0) ).

fof(c_0_814_815,axiom,
    ! [X66,X53,X50] :
      ( c_List_Odrop(X53,X66,X50) != c_List_Olist_ONil
      | c_lessequals(c_Nat_Osize(X66,tc_List_Olist(X50)),X53,tc_nat) ),
    file('<stdin>',cls_List_Odrop__eq__Nil_0) ).

fof(c_0_815_816,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__negative__iff__negative_1) ).

fof(c_0_816_817,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_0,c_HOL_Oinverse(X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_1) ).

fof(c_0_817_818,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_1) ).

fof(c_0_818_819,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_0,c_HOL_Oinverse(X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__positive__iff__positive_1) ).

fof(c_0_819_820,axiom,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    file('<stdin>',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(c_0_820_821,axiom,
    ! [X23,X53,X50] :
      ( X53 = c_0
      | c_List_Oset(c_List_Oreplicate(X53,X23,X50),X50) = c_insert(X23,c_emptyset,X50) ),
    file('<stdin>',cls_List_Oset__replicate_0) ).

fof(c_0_821_822,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_uminus(X49,X50),c_uminus(X27,X50),X50) = c_divide(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ominus__divide__divide_0) ).

fof(c_0_822_823,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X21,X52,X50)
      | c_in(X52,c_SetInterval_OatLeast(X21,X50),X50) ),
    file('<stdin>',cls_SetInterval_OatLeast__iff_1) ).

fof(c_0_823_824,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X52,X21,X50)
      | c_in(X52,c_SetInterval_OatMost(X21,X50),X50) ),
    file('<stdin>',cls_SetInterval_OatMost__iff_1) ).

fof(c_0_824_825,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X21,X52,X50)
      | c_in(X52,c_SetInterval_OgreaterThan(X21,X50),X50) ),
    file('<stdin>',cls_SetInterval_OgreaterThan__iff_1) ).

fof(c_0_825_826,axiom,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X21,X50)
      | c_in(X52,c_SetInterval_OlessThan(X21,X50),X50) ),
    file('<stdin>',cls_SetInterval_OlessThan__iff_1) ).

fof(c_0_826_827,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Oanalz(X29),c_Message_Oanalz(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Oanalz(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Oanalz__subset__iff_0) ).

fof(c_0_827_828,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Oparts(X29),c_Message_Oparts(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Oparts(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Oparts__subset__iff_0) ).

fof(c_0_828_829,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Osynth(X29),c_Message_Osynth(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Osynth(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Osynth__subset__iff_0) ).

fof(c_0_829_830,axiom,
    ! [X55,X52] :
      ( ~ c_less(X52,X55,tc_nat)
      | c_List_Olast(c_List_Oupt(X52,X55),tc_nat) = c_minus(X55,c_1,tc_nat) ),
    file('<stdin>',cls_List_Olast__upt_0) ).

fof(c_0_830_831,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Datatype__Universe_OLeaf(X23,X50,X51) != c_Datatype__Universe_OLeaf(X25,X50,X51)
      | X23 = X25 ),
    file('<stdin>',cls_Datatype__Universe_OLeaf__inject__dest_0) ).

fof(c_0_831_832,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Datatype__Universe_ONumb(X23,X50,X51) != c_Datatype__Universe_ONumb(X25,X50,X51)
      | X23 = X25 ),
    file('<stdin>',cls_Datatype__Universe_ONumb__inject__dest_0) ).

fof(c_0_832_833,axiom,
    ! [X27,X49,X51,X50] :
      ( c_Datatype__Universe_OAtom(X49,X50,X51) != c_Datatype__Universe_OAtom(X27,X50,X51)
      | X49 = X27 ),
    file('<stdin>',cls_Datatype__Universe_OAtom__Atom__eq_0) ).

fof(c_0_833_834,axiom,
    ! [X30,X85,X51,X50] :
      ( c_Datatype__Universe_OIn0(X85,X50,X51) != c_Datatype__Universe_OIn0(X30,X50,X51)
      | X85 = X30 ),
    file('<stdin>',cls_Datatype__Universe_OIn0__eq_0) ).

fof(c_0_834_835,axiom,
    ! [X30,X85,X51,X50] :
      ( c_Datatype__Universe_OIn1(X85,X50,X51) != c_Datatype__Universe_OIn1(X30,X50,X51)
      | X85 = X30 ),
    file('<stdin>',cls_Datatype__Universe_OIn1__eq_0) ).

fof(c_0_835_836,axiom,
    ! [X69,X65,X66,X50] :
      ( c_append(X65,X66,X50) != c_append(X69,X66,X50)
      | X65 = X69 ),
    file('<stdin>',cls_List_Oappend__same__eq_0) ).

fof(c_0_836_837,axiom,
    ! [X73,X74,X59,X49,X50] :
      ( c_List_Olist_OCons(X49,X74,X50) != c_List_Olist_OCons(X59,X73,X50)
      | X49 = X59 ),
    file('<stdin>',cls_List_Olist_Oinject_0) ).

fof(c_0_837_838,axiom,
    ! [X73,X74,X59,X49,X50] :
      ( c_List_Olist_OCons(X49,X74,X50) != c_List_Olist_OCons(X59,X73,X50)
      | X74 = X73 ),
    file('<stdin>',cls_List_Olist_Oinject_1) ).

fof(c_0_838_839,axiom,
    ! [X69,X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_append(X66,X69,X50)
      | X65 = X69 ),
    file('<stdin>',cls_List_Osame__append__eq_0) ).

fof(c_0_839_840,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_4) ).

fof(c_0_840_841,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Sum__Type_OInl(X23,X50,X51) != c_Sum__Type_OInl(X25,X50,X51)
      | X23 = X25 ),
    file('<stdin>',cls_Sum__Type_OInl__eq_0) ).

fof(c_0_841_842,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Sum__Type_OInr(X23,X51,X50) != c_Sum__Type_OInr(X25,X51,X50)
      | X23 = X25 ),
    file('<stdin>',cls_Sum__Type_OInr__eq_0) ).

fof(c_0_842_843,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X40 = X39 ),
    file('<stdin>',cls_Event_Oevent_Oinject__1_0) ).

fof(c_0_843_844,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X38 = X37 ),
    file('<stdin>',cls_Event_Oevent_Oinject__1_1) ).

fof(c_0_844_845,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X34 = X33 ),
    file('<stdin>',cls_Event_Oevent_Oinject__1_2) ).

fof(c_0_845_846,axiom,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,c_uminus(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odvd__zminus__iff_0) ).

fof(c_0_846_847,axiom,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(c_uminus(X62,tc_IntDef_Oint),X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozminus__dvd__iff_0) ).

fof(c_0_847_848,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X63),tc_nat) ),
    file('<stdin>',cls_NatBin_Omult__nat__number__of_1) ).

fof(c_0_848_849,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz__analzD__dest_0) ).

fof(c_0_849_850,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oparts(c_Message_Oparts(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oparts__partsD__dest_0) ).

fof(c_0_850_851,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Osynth__synthD__dest_0) ).

fof(c_0_851_852,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_times(c_0,X27,X50),X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if1_0) ).

fof(c_0_852_853,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(c_0,X49,X50),c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__left__if2_0) ).

fof(c_0_853_854,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_times(X27,c_0,X50),X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if1_0) ).

fof(c_0_854_855,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(X49,c_0,X50),c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__divide__cancel__right__if2_0) ).

fof(c_0_855_856,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_divide(X27,c_0,X50),c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__self__left_0) ).

fof(c_0_856_857,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_0,c_divide(X27,c_0,X50),X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Otimes__divide__self__right_0) ).

fof(c_0_857_858,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X27,c_emptyset,X50) != c_insert(X49,X12,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_0) ).

fof(c_0_858_859,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X49,X12,X50) != c_insert(X27,c_emptyset,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Set_Osingleton__insert__inj__eq_H_0) ).

fof(c_0_859_860,axiom,
    ! [X32,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X32),X22,tc_Message_Omsg)
      | c_in(c_Message_OinvKey(X32),c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat) ),
    file('<stdin>',cls_Event_OkeysFor__synth_H_3) ).

fof(c_0_860_861,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Oanalz(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oanalz(X29),c_Message_Oanalz(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Oanalz__subset__iff_1) ).

fof(c_0_861_862,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Oparts(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X29),c_Message_Oparts(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Oparts__subset__iff_1) ).

fof(c_0_862_863,axiom,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Osynth(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Osynth(X29),c_Message_Osynth(X22),tc_set(tc_Message_Omsg)) ),
    file('<stdin>',cls_Message_Osynth__subset__iff_1) ).

fof(c_0_863_864,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_uminus(X49,X50),c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__minus_0) ).

fof(c_0_864_865,axiom,
    ! [X53,X54,X21] :
      ( c_times(X21,X54,tc_nat) != c_times(X21,X53,tc_nat)
      | X54 = X53
      | X21 = c_0 ),
    file('<stdin>',cls_Nat_Omult__cancel1_0) ).

fof(c_0_865_866,axiom,
    ! [X53,X54,X21] :
      ( c_times(X54,X21,tc_nat) != c_times(X53,X21,tc_nat)
      | X54 = X53
      | X21 = c_0 ),
    file('<stdin>',cls_Nat_Omult__cancel2_0) ).

fof(c_0_866_867,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_0,c_uminus(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).

fof(c_0_867_868,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_0,c_uminus(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__less__iff__less_1) ).

fof(c_0_868_869,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_uminus(X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__le__0__iff__le_1) ).

fof(c_0_869_870,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_uminus(X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__less__0__iff__less_1) ).

fof(c_0_870_871,axiom,
    ! [X23,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X60,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X60,X23),X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__12_1) ).

fof(c_0_871_872,axiom,
    ! [X23,X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_Parity_Oeven(X53,tc_nat)
      | c_Nat_Opower(c_uminus(X23,X50),X53,X50) = c_Nat_Opower(X23,X53,X50) ),
    file('<stdin>',cls_Parity_Opower__minus__even_0) ).

fof(c_0_872_873,axiom,
    ! [X27,X49,X50] :
      ( c_insert(X49,c_emptyset,X50) != c_insert(X27,c_emptyset,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Set_Osingleton__inject__dest_0) ).

fof(c_0_873_874,axiom,
    ! [X53,X54,X21] :
      ( c_plus(X21,X54,tc_nat) != c_plus(X21,X53,tc_nat)
      | X54 = X53 ),
    file('<stdin>',cls_Nat_Onat__add__left__cancel_0) ).

fof(c_0_874_875,axiom,
    ! [X53,X54,X21] :
      ( c_plus(X54,X21,tc_nat) != c_plus(X53,X21,tc_nat)
      | X54 = X53 ),
    file('<stdin>',cls_Nat_Onat__add__right__cancel_0) ).

fof(c_0_875_876,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__1_0) ).

fof(c_0_876_877,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(c_uminus(X49,X50),c_uminus(X27,X50),X50) = c_times(X49,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ominus__mult__minus_0) ).

fof(c_0_877_878,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_lessequals(c_0,c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__0__le__iff_1) ).

fof(c_0_878_879,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__0__less__iff_1) ).

fof(c_0_879_880,axiom,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X60,c_0,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X60,X50),c_0,X50) ),
    file('<stdin>',cls_IntDef_Oof__int__le__0__iff_1) ).

fof(c_0_880_881,axiom,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X60,c_0,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X60,X50),c_0,X50) ),
    file('<stdin>',cls_IntDef_Oof__int__less__0__iff_1) ).

fof(c_0_881_882,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__0__less__iff_1) ).

fof(c_0_882_883,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oadd__nat__number__of_0) ).

fof(c_0_883_884,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_0) ).

fof(c_0_884_885,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_1) ).

fof(c_0_885_886,axiom,
    ! [X25] :
      ( ~ c_in(X25,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X25)) = X25 ),
    file('<stdin>',cls_IntDef_OInteg_OAbs__Integ__inverse_0) ).

fof(c_0_886_887,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_1,c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X60),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__2_0) ).

fof(c_0_887_888,axiom,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_1,X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__3_0) ).

fof(c_0_888_889,axiom,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X60)),X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__5_0) ).

fof(c_0_889_890,axiom,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X61),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oless__0__number__of_0) ).

fof(c_0_890_891,axiom,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat) ),
    file('<stdin>',cls_Event_OkeysFor__synth_H_2) ).

fof(c_0_891_892,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X60,X50),X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__4_1) ).

fof(c_0_892_893,axiom,
    ! [X54,X99] :
      ( c_Divides_Oop_Amod(X54,X99,tc_nat) != c_0
      | X54 = c_times(X99,c_Main_Omod__eq__0D__dest__1(X99,X54),tc_nat) ),
    file('<stdin>',cls_Divides_Omod__eq__0D__dest_0) ).

fof(c_0_893_894,axiom,
    ! [X54,X99] :
      ( c_Divides_Oop_Amod(X54,X99,tc_IntDef_Oint) != c_0
      | X54 = c_times(X99,c_Main_Ozmod__eq__0D__dest__1(X99,X54),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozmod__eq__0D__dest_0) ).

fof(c_0_894_895,axiom,
    ! [X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X8),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OKey__synth__eq_0) ).

fof(c_0_895_896,axiom,
    ! [X30,X22] :
      ( ~ c_in(c_Message_Omsg_ONonce(X30),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X30),X22,tc_Message_Omsg) ),
    file('<stdin>',cls_Message_ONonce__synth__eq_0) ).

fof(c_0_896_897,axiom,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,c_uminus(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Odvd__zminus__iff_1) ).

fof(c_0_897_898,axiom,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(c_uminus(X62,tc_IntDef_Oint),X60,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDiv_Ozminus__dvd__iff_1) ).

fof(c_0_898_899,axiom,
    ! [X66,X23,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_OCons(X23,c_List_Olist_ONil,X50)
      | X66 = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    file('<stdin>',cls_List_Orev__singleton__conv_0) ).

fof(c_0_899_900,axiom,
    ! [X66,X23,X50] :
      ( c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) != c_List_Orev(X66,X50)
      | X66 = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    file('<stdin>',cls_List_Osingleton__rev__conv_0) ).

fof(c_0_900_901,axiom,
    ! [X25,X27] :
      ( X27 = c_0
      | c_div(c_times(X25,X27,tc_IntDef_Oint),X27,tc_IntDef_Oint) = X25 ),
    file('<stdin>',cls_IntDiv_Ozdiv__zmult__self1_0) ).

fof(c_0_901_902,axiom,
    ! [X25,X27] :
      ( X27 = c_0
      | c_div(c_times(X27,X25,tc_IntDef_Oint),X27,tc_IntDef_Oint) = X25 ),
    file('<stdin>',cls_IntDiv_Ozdiv__zmult__self2_0) ).

fof(c_0_902_903,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_less(X12,X10,tc_set(X50))
      | X12 = X10 ),
    file('<stdin>',cls_Set_OpsubsetI_0) ).

fof(c_0_903_904,axiom,
    ! [X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_OKey__synth__eq_1) ).

fof(c_0_904_905,axiom,
    ! [X30,X22] :
      ( ~ c_in(c_Message_Omsg_ONonce(X30),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X30),c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_ONonce__synth__eq_1) ).

fof(c_0_905_906,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Osynth_OHash_0) ).

fof(c_0_906_907,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__difference_2) ).

fof(c_0_907_908,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__sum_2) ).

fof(c_0_908_909,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__sum_2) ).

fof(c_0_909_910,axiom,
    ! [X23,X53] :
      ( c_less(c_0,c_Nat_Opower(X23,X53,tc_nat),tc_nat)
      | X23 = c_0 ),
    file('<stdin>',cls_Power_Onat__zero__less__power__iff_1) ).

fof(c_0_910_911,axiom,
    ! [X10,X12,X50] :
      ( ~ c_less(X12,X10,tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_OpsubsetE_1) ).

fof(c_0_911_912,axiom,
    ! [X10,X12,X50] :
      ( c_minus(X12,X10,tc_set(X50)) != c_emptyset
      | c_lessequals(X12,X10,tc_set(X50)) ),
    file('<stdin>',cls_Set_ODiff__eq__empty__iff_0) ).

fof(c_0_912_913,axiom,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_minus(X12,X10,tc_set(X50)) = c_emptyset ),
    file('<stdin>',cls_Set_ODiff__eq__empty__iff_1) ).

fof(c_0_913_914,axiom,
    ! [X25,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),c_1,tc_nat)
      | c_List_Orotate1(X25,X50) = X25 ),
    file('<stdin>',cls_List_Orotate1__length01_0) ).

fof(c_0_914_915,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_IntDef_Ozle__int_0) ).

fof(c_0_915_916,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_IntDef_Ozless__int_0) ).

fof(c_0_916_917,axiom,
    ! [X62,X60] :
      ( ~ c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozless__nat__conj_1) ).

fof(c_0_917_918,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(X53),c_Suc(X54),tc_nat)
      | c_lessequals(X53,X54,tc_nat) ),
    file('<stdin>',cls_Nat_OSuc__le__mono_0) ).

fof(c_0_918_919,axiom,
    ! [X53,X54] :
      ( ~ c_less(c_Suc(X54),c_Suc(X53),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_OSuc__less__eq_0) ).

fof(c_0_919_920,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Odiv__nat__number__of_0) ).

fof(c_0_920_921,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Omod__nat__number__of_0) ).

fof(c_0_921_922,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Omult__nat__number__of_0) ).

fof(c_0_922_923,axiom,
    ! [X62,X60] :
      ( ~ c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozless__nat__conj_0) ).

fof(c_0_923_924,axiom,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X60),X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__1_0) ).

fof(c_0_924_925,axiom,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X60),X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__4_0) ).

fof(c_0_925_926,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz__conj__parts_0) ).

fof(c_0_926_927,axiom,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,X53,X50) != c_0
      | c_less(c_0,X53,tc_nat) ),
    file('<stdin>',cls_Power_Opower__eq__0__iff_1) ).

fof(c_0_927_928,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X61),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat) ),
    file('<stdin>',cls_NatBin_Oless__0__number__of_1) ).

fof(c_0_928_929,axiom,
    ! [X62] :
      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X62),tc_nat)
      | c_less(c_1,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Oone__less__nat__eq_0) ).

fof(c_0_929_930,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB1),X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__5_0) ).

fof(c_0_930_931,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozle__int_1) ).

fof(c_0_931_932,axiom,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozless__int_1) ).

fof(c_0_932_933,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(X53,X54,tc_nat)
      | c_lessequals(c_Suc(X53),c_Suc(X54),tc_nat) ),
    file('<stdin>',cls_Nat_OSuc__le__mono_1) ).

fof(c_0_933_934,axiom,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_Suc(X54),c_Suc(X53),tc_nat) ),
    file('<stdin>',cls_Nat_OSuc__less__eq_1) ).

fof(c_0_934_935,axiom,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X53,tc_nat)
      | c_Nat_Opower(c_0,X53,X50) = c_0 ),
    file('<stdin>',cls_Power_Opower__eq__0__iff_2) ).

fof(c_0_935_936,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_less(X53,X54,X50)
      | c_SetInterval_OatLeastAtMost(X54,X53,X50) = c_emptyset ),
    file('<stdin>',cls_SetInterval_OatLeastAtMost__empty_0) ).

fof(c_0_936_937,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X53,X54,X50)
      | c_SetInterval_OatLeastLessThan(X54,X53,X50) = c_emptyset ),
    file('<stdin>',cls_SetInterval_OatLeastLessThan__empty_0) ).

fof(c_0_937_938,axiom,
    ! [X57,X21,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X57,X21,X50)
      | c_SetInterval_OgreaterThanAtMost(X21,X57,X50) = c_emptyset ),
    file('<stdin>',cls_SetInterval_OgreaterThanAtMost__empty_0) ).

fof(c_0_938_939,axiom,
    ! [X26,X12,X50] :
      ( c_in(X26,X12,X50)
      | c_in(X26,c_uminus(X12,tc_set(X50)),X50) ),
    file('<stdin>',cls_Set_OCompl__iff_1) ).

fof(c_0_939_940,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X23,X50),X50) = c_Numeral_Onumber__of(X23,X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__6_1) ).

fof(c_0_940_941,axiom,
    ! [X62] :
      ( ~ c_less(c_1,X62,tc_IntDef_Oint)
      | c_less(c_Suc(c_0),c_IntDef_Onat(X62),tc_nat) ),
    file('<stdin>',cls_IntArith_Oone__less__nat__eq_1) ).

fof(c_0_941_942,axiom,
    ! [X66,X52,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Odrop(X52,X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__drop_0) ).

fof(c_0_942_943,axiom,
    ! [X66,X23,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Oremove1(X23,X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__remove1_0) ).

fof(c_0_943_944,axiom,
    ! [X66,X53,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orotate(X53,X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__rotate_1) ).

fof(c_0_944_945,axiom,
    ! [X66,X70,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Osublist(X66,X70,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__sublistI_0) ).

fof(c_0_945_946,axiom,
    ! [X66,X52,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Otake(X52,X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__take_0) ).

fof(c_0_946_947,axiom,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X48,X50)
      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X48,X50,X50),X50) ),
    file('<stdin>',cls_Wellfounded__Recursion_Oacyclic__converse_1) ).

fof(c_0_947_948,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oparts_OInj_0) ).

fof(c_0_948_949,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Oanalz_OInj_0) ).

fof(c_0_949_950,axiom,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg) ),
    file('<stdin>',cls_Message_Osynth_OInj_0) ).

fof(c_0_950_951,axiom,
    ! [X53] :
      ( ~ c_less(c_0,c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_less(c_0,X53,tc_nat) ),
    file('<stdin>',cls_IntDef_Ozero__less__int__conv_0) ).

fof(c_0_951_952,axiom,
    ! [X62] :
      ( ~ c_less(c_0,c_IntDef_Onat(X62),tc_nat)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozero__less__nat__eq_0) ).

fof(c_0_952_953,axiom,
    ! [X8] :
      ( ~ c_in(c_Message_OinvKey(X8),c_Message_OsymKeys,tc_nat)
      | c_in(X8,c_Message_OsymKeys,tc_nat) ),
    file('<stdin>',cls_Public_OsymKeys__invKey__iff_0) ).

fof(c_0_953_954,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__difference_3) ).

fof(c_0_954_955,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__sum_3) ).

fof(c_0_955_956,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__sum_3) ).

fof(c_0_956_957,axiom,
    ! [X86,X23,X50] :
      ( ~ c_in(X23,c_Datatype_Oo2s(X86,X50),X50)
      | X86 = c_Datatype_Ooption_OSome(X23,X50) ),
    file('<stdin>',cls_Datatype_Oelem__o2s_0) ).

fof(c_0_957_958,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,c_uminus(X27,X50),X50) = c_plus(X49,X27,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

fof(c_0_958_959,axiom,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_0 != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__6_0) ).

fof(c_0_959_960,axiom,
    ! [X76,X50] :
      ( c_in(c_Main_ONil__eq__concat__conv__1(X76,X50),c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Olist_ONil = c_List_Oconcat(X76,X50) ),
    file('<stdin>',cls_List_ONil__eq__concat__conv_1) ).

fof(c_0_960_961,axiom,
    ! [X76,X50] :
      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X76,X50),c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Oconcat(X76,X50) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oconcat__eq__Nil__conv_1) ).

fof(c_0_961_962,axiom,
    ! [X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntDef_Ozero__less__int__conv_1) ).

fof(c_0_962_963,axiom,
    ! [X62] :
      ( ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Onat(X62),tc_nat) ),
    file('<stdin>',cls_IntDef_Ozero__less__nat__eq_1) ).

fof(c_0_963_964,axiom,
    ! [X8] :
      ( ~ c_in(X8,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_OinvKey(X8),c_Message_OsymKeys,tc_nat) ),
    file('<stdin>',cls_Public_OsymKeys__invKey__iff_1) ).

fof(c_0_964_965,axiom,
    ! [X60,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,c_Numeral_Onumber__of(X60,tc_nat),X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Parity_Opower__eq__0__iff__number__of_0) ).

fof(c_0_965_966,axiom,
    ! [X25,X53] :
      ( ~ c_less(X25,X53,tc_nat)
      | c_Divides_Oop_Amod(X25,X53,tc_nat) = X25 ),
    file('<stdin>',cls_Divides_Omod__less_0) ).

fof(c_0_966_967,axiom,
    ! [X63] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Suc(c_0) ),
    file('<stdin>',cls_NatBin_Oone__mod__nat__number__of_0) ).

fof(c_0_967_968,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_10) ).

fof(c_0_968_969,axiom,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__nat__number__of_6) ).

fof(c_0_969_970,axiom,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)),tc_IntDef_Oint)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1) ).

fof(c_0_970_971,axiom,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_div(X54,X53,tc_nat) = c_0 ),
    file('<stdin>',cls_Divides_Odiv__less_0) ).

fof(c_0_971_972,axiom,
    ! [X53,X54] :
      ( c_minus(X54,X53,tc_nat) != c_0
      | c_lessequals(X54,X53,tc_nat) ),
    file('<stdin>',cls_Nat_Odiff__is__0__eq_0) ).

fof(c_0_972_973,axiom,
    ! [X53,X54] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_minus(X54,X53,tc_nat) = c_0 ),
    file('<stdin>',cls_Nat_Odiff__is__0__eq_H_0) ).

fof(c_0_973_974,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__product_1) ).

fof(c_0_974_975,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__product_2) ).

fof(c_0_975_976,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__product_1) ).

fof(c_0_976_977,axiom,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__product_2) ).

fof(c_0_977_978,axiom,
    ! [X65,X66,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Ohd(c_append(X66,X65,X50),X50) = c_List_Ohd(X66,X50) ),
    file('<stdin>',cls_List_Ohd__append2_0) ).

fof(c_0_978_979,axiom,
    ! [X66,X23,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Olast(c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olast(X66,X50) ),
    file('<stdin>',cls_List_Olast_Osimps_1) ).

fof(c_0_979_980,axiom,
    ! [X65,X66,X50] :
      ( X65 = c_List_Olist_ONil
      | c_List_Olast(c_append(X66,X65,X50),X50) = c_List_Olast(X65,X50) ),
    file('<stdin>',cls_List_Olast__appendR_0) ).

fof(c_0_980_981,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Ojoin(X49,c_uminus(X49,X50),X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Ojoin__0__eq__0_0) ).

fof(c_0_981_982,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Omeet(X49,c_uminus(X49,X50),X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Omeet__0__eq__0_0) ).

fof(c_0_982_983,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_1,c_1,X50) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__1_0) ).

fof(c_0_983_984,axiom,
    ! [X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(X53,X53,tc_nat) = c_1 ),
    file('<stdin>',cls_Divides_Odiv__self_0) ).

fof(c_0_984_985,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50) ),
    file('<stdin>',cls_IntArith_Oarith__special__8_0) ).

fof(c_0_985_986,axiom,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_NatArith_Oof__nat(X54,X50),c_0,X50)
      | X54 = c_0 ),
    file('<stdin>',cls_NatArith_Oof__nat__le__0__iff_0) ).

fof(c_0_986_987,axiom,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_HOL_Oinverse(c_Numeral_Onumber__of(X60,X51),X51) = c_divide(c_1,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oinverse__eq__divide__number__of_0) ).

fof(c_0_987_988,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(c_HOL_Oabs(X49,X50),c_0,X50)
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oabs__le__zero__iff_0) ).

fof(c_0_988_989,axiom,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_NatArith_Oof__nat(X54,X50),c_0,X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__less__0__iff_0) ).

fof(c_0_989_990,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_less(c_HOL_Oabs(X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__not__less__zero_0) ).

fof(c_0_990_991,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_less(c_0,c_HOL_Oabs(c_0,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Ozero__less__abs__iff_0) ).

fof(c_0_991_992,axiom,
    ! [X25,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_Finite__Set_OMax(c_insert(X25,c_emptyset,X50),X50) = X25 ),
    file('<stdin>',cls_Finite__Set_OMax__singleton_0) ).

fof(c_0_992_993,axiom,
    ! [X25,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_Finite__Set_OMin(c_insert(X25,c_emptyset,X50),X50) = X25 ),
    file('<stdin>',cls_Finite__Set_OMin__singleton_0) ).

fof(c_0_993_994,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) != c_0
      | c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51) = c_0 ),
    file('<stdin>',cls_NatSimprocs_Odivide__eq__eq__number__of_1) ).

fof(c_0_994_995,axiom,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) != c_0
      | c_0 = c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oeq__divide__eq__number__of_2) ).

fof(c_0_995_996,axiom,
    ! [X25,X53,X50] :
      ( X53 = c_0
      | c_List_Ohd(c_List_Oreplicate(X53,X25,X50),X50) = X25 ),
    file('<stdin>',cls_List_Ohd__replicate_0) ).

fof(c_0_996_997,axiom,
    ! [X25,X55] :
      ( ~ c_less(X25,X55,tc_nat)
      | c_List_Ohd(c_List_Oupt(X25,X55),tc_nat) = X25 ),
    file('<stdin>',cls_List_Ohd__upt_0) ).

fof(c_0_997_998,axiom,
    ! [X25,X53,X50] :
      ( X53 = c_0
      | c_List_Olast(c_List_Oreplicate(X53,X25,X50),X50) = X25 ),
    file('<stdin>',cls_List_Olast__replicate_0) ).

fof(c_0_998_999,axiom,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0) ).

fof(c_0_999_1000,axiom,
    ! [X61,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_Numeral_Onumber__of(X61,X51) = c_uminus(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oequation__minus__iff__number__of_1) ).

fof(c_0_1000_1001,axiom,
    ! [X61,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) = c_Numeral_Onumber__of(X61,X51) ),
    file('<stdin>',cls_NatSimprocs_Ominus__equation__iff__number__of_1) ).

fof(c_0_1001_1002,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,X49,X50) = c_divide(c_0,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__cancel__left_1) ).

fof(c_0_1002_1003,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_0,X50) = c_divide(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Odivide__cancel__right_1) ).

fof(c_0_1003_1004,axiom,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_Inter(X12,X50) != c_UNIV
      | X32 = c_UNIV ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__1_0) ).

fof(c_0_1004_1005,axiom,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_UNIV != c_Inter(X12,X50)
      | X32 = c_UNIV ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__2_0) ).

fof(c_0_1005_1006,axiom,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_Union(X12,X50) != c_emptyset
      | X32 = c_emptyset ),
    file('<stdin>',cls_Set_OUnion__empty__conv_0) ).

fof(c_0_1006_1007,axiom,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_emptyset != c_Union(X12,X50)
      | X32 = c_emptyset ),
    file('<stdin>',cls_Set_Oempty__Union__conv_0) ).

fof(c_0_1007_1008,axiom,
    ! [X66,X50] :
      ( c_Nat_Osize(c_List_Oremdups(X66,X50),tc_List_Olist(X50)) != c_Nat_Osize(X66,tc_List_Olist(X50))
      | c_List_Oremdups(X66,X50) = X66 ),
    file('<stdin>',cls_List_Olength__remdups__eq_0) ).

fof(c_0_1008_1009,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_HOL_Oabs(X49,X50) = c_uminus(X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__of__nonpos_0) ).

fof(c_0_1009_1010,axiom,
    ! [X62] :
      ( ~ c_less(c_HOL_Oabs(X62,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
      | X62 = c_0 ),
    file('<stdin>',cls_IntArith_Ozabs__less__one__iff_0) ).

fof(c_0_1010_1011,axiom,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(X12,X50) != c_0
      | X12 = c_emptyset ),
    file('<stdin>',cls_Finite__Set_Ocard__0__eq_0) ).

fof(c_0_1011_1012,axiom,
    ! [X23,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X50),X23,X50) = c_uminus(c_1,X50) ),
    file('<stdin>',cls_Parity_Ominus__one__odd__power_0) ).

fof(c_0_1012_1013,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    file('<stdin>',cls_Parity_Oneg__one__odd__power_0) ).

fof(c_0_1013_1014,axiom,
    ! [X49,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_SetInterval_OatLeastAtMost(X49,X49,X50) = c_insert(X49,c_emptyset,X50) ),
    file('<stdin>',cls_SetInterval_OatLeastAtMost__singleton_0) ).

fof(c_0_1014_1015,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_0,X49,X50) = c_times(c_0,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ofield__mult__cancel__left_1) ).

fof(c_0_1015_1016,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,c_0,X50) = c_times(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ofield__mult__cancel__right_1) ).

fof(c_0_1016_1017,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X23,c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_uminus(X23,X50) ),
    file('<stdin>',cls_NatSimprocs_Odivide__minus1_0) ).

fof(c_0_1017_1018,axiom,
    ! [X23,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X50),X23,X50) = c_1 ),
    file('<stdin>',cls_Parity_Ominus__one__even__power_0) ).

fof(c_0_1018_1019,axiom,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_1 ),
    file('<stdin>',cls_Parity_Oneg__one__even__power_0) ).

fof(c_0_1019_1020,axiom,
    ! [X25,X50] :
      ( X25 = c_List_Olist_ONil
      | c_List_Olist_OCons(c_List_Ohd(X25,X50),c_List_Otl(X25,X50),X50) = X25 ),
    file('<stdin>',cls_List_Ohd__Cons__tl_0) ).

fof(c_0_1020_1021,axiom,
    ! [X66,X50] :
      ( c_in(c_List_Ohd(X66,X50),c_List_Oset(X66,X50),X50)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Ohd__in__set_0) ).

fof(c_0_1021_1022,axiom,
    ! [X72,X50] :
      ( c_in(c_List_Olast(X72,X50),c_List_Oset(X72,X50),X50)
      | X72 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Olast__in__set_0) ).

fof(c_0_1022_1023,axiom,
    ! [X54,X64] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X64)
      | c_NatArith_Oof__nat(c_Suc(X54),X64) = c_plus(c_NatArith_Oof__nat(X54,X64),c_1,X64) ),
    file('<stdin>',cls_NatArith_Oof__nat_Oof__nat__Suc_0) ).

fof(c_0_1023_1024,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(c_0,X25,X50)
      | c_HOL_Oabs(X25,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(c_0_1024_1025,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X25,c_0,X50)
      | c_OrderedGroup_Onprt(X25,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Onprt__eq__id_0) ).

fof(c_0_1025_1026,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X25,X50)
      | c_OrderedGroup_Opprt(X25,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Opprt__eq__id_0) ).

fof(c_0_1026_1027,axiom,
    ! [X23,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X23,X50)
      | c_OrderedGroup_Onprt(X23,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Onprt__eq__0_0) ).

fof(c_0_1027_1028,axiom,
    ! [X23,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X23,c_0,X50)
      | c_OrderedGroup_Opprt(X23,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Opprt__eq__0_0) ).

fof(c_0_1028_1029,axiom,
    ! [X50] :
      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(c_emptyset,X50) = c_0 ),
    file('<stdin>',cls_Finite__Set_Ocard__0__eq_1) ).

fof(c_0_1029_1030,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_1 ),
    file('<stdin>',cls_Parity_Opower__0__left__number__of_0) ).

fof(c_0_1030_1031,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X27,X50) != c_0
      | X27 = c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__0__iff_0) ).

fof(c_0_1031_1032,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X27,X50) != c_1
      | X49 = X27 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__1__iff_1) ).

fof(c_0_1032_1033,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(X27,X49,X50) != c_1
      | X49 = X27 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__eq__1_1) ).

fof(c_0_1033_1034,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_1 != c_divide(X27,X49,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Ring__and__Field_Oeq__divide__eq__1_1) ).

fof(c_0_1034_1035,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_1 != c_divide(X49,X27,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Ring__and__Field_Oone__eq__divide__iff_1) ).

fof(c_0_1035_1036,axiom,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,X53,X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Power_Opower__eq__0__iff_0) ).

fof(c_0_1036_1037,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OInter__UNIV__conv__1__1(X12,X50),X12,tc_set(X50))
      | c_Inter(X12,X50) = c_UNIV ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__1_1) ).

fof(c_0_1037_1038,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OInter__UNIV__conv__2__1(X12,X50),X12,tc_set(X50))
      | c_UNIV = c_Inter(X12,X50) ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__2_1) ).

fof(c_0_1038_1039,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OUnion__empty__conv__1(X12,X50),X12,tc_set(X50))
      | c_Union(X12,X50) = c_emptyset ),
    file('<stdin>',cls_Set_OUnion__empty__conv_1) ).

fof(c_0_1039_1040,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_Oempty__Union__conv__1(X12,X50),X12,tc_set(X50))
      | c_emptyset = c_Union(X12,X50) ),
    file('<stdin>',cls_Set_Oempty__Union__conv_1) ).

fof(c_0_1040_1041,axiom,
    ! [X61,X54] :
      ( c_IntDef_Oint(X54) != c_Numeral_Onumber__of(X61,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_IntArith_Oint__eq__iff__number__of_1) ).

fof(c_0_1041_1042,axiom,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X61,tc_nat),X50) = c_0 ),
    file('<stdin>',cls_NatBin_Oof__nat__number__of__eq_0) ).

fof(c_0_1042_1043,axiom,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_Numeral_Onumber__of(X61,X51) != c_uminus(X27,X51)
      | X27 = c_uminus(c_Numeral_Onumber__of(X61,X51),X51) ),
    file('<stdin>',cls_NatSimprocs_Oequation__minus__iff__number__of_0) ).

fof(c_0_1043_1044,axiom,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(X49,X51) != c_Numeral_Onumber__of(X61,X51)
      | c_uminus(c_Numeral_Onumber__of(X61,X51),X51) = X49 ),
    file('<stdin>',cls_NatSimprocs_Ominus__equation__iff__number__of_0) ).

fof(c_0_1044_1045,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(c_1,X49,X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Oone__divide__eq__0__iff_0) ).

fof(c_0_1045_1046,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_0 != c_divide(c_1,X49,X50)
      | X49 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Ozero__eq__1__divide__iff_0) ).

fof(c_0_1046_1047,axiom,
    ! [X62,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X62,X50) = c_uminus(X62,X50) ),
    file('<stdin>',cls_Numeral_Omult__minus1_0) ).

fof(c_0_1047_1048,axiom,
    ! [X62,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(X62,c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_uminus(X62,X50) ),
    file('<stdin>',cls_Numeral_Omult__minus1__right_0) ).

fof(c_0_1048_1049,axiom,
    ! [X55,X52] :
      ( ~ c_lessequals(X55,X52,tc_nat)
      | c_List_Oupt(X52,X55) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oupt__eq__Nil__conv_2) ).

fof(c_0_1049_1050,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(X27,c_0,X50) != c_1 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__eq__1_0) ).

fof(c_0_1050_1051,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_1 != c_divide(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oeq__divide__eq__1_0) ).

fof(c_0_1051_1052,axiom,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 != c_times(X26,X27,X50)
      | X26 = c_0
      | X27 = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__left1_0) ).

fof(c_0_1052_1053,axiom,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_times(X26,X49,X50) != X26
      | X26 = c_0
      | X49 = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__left2_0) ).

fof(c_0_1053_1054,axiom,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 != c_times(X27,X26,X50)
      | X26 = c_0
      | X27 = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__right1_0) ).

fof(c_0_1054_1055,axiom,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_times(X49,X26,X50) != X26
      | X26 = c_0
      | X49 = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__right2_0) ).

fof(c_0_1055_1056,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X50)
      | c_times(X49,X27,X50) != c_0
      | X27 = c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__eq__0__iff_0) ).

fof(c_0_1056_1057,axiom,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_0
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    file('<stdin>',cls_Parity_Opower__0__left__number__of_1) ).

fof(c_0_1057_1058,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,X27,X50) != c_0
      | X49 = X27 ),
    file('<stdin>',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).

fof(c_0_1058_1059,axiom,
    ! [X12,X50] :
      ( ~ c_lessequals(X12,c_emptyset,tc_set(X50))
      | X12 = c_emptyset ),
    file('<stdin>',cls_Set_Osubset__empty_0) ).

fof(c_0_1059_1060,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_HOL_Oabs(c_HOL_Oinverse(X49,X50),X50) = c_HOL_Oinverse(c_HOL_Oabs(X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oabs__inverse_0) ).

fof(c_0_1060_1061,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_uminus(X49,X50),X50) = c_uminus(c_HOL_Oinverse(X49,X50),X50) ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__minus__eq_0) ).

fof(c_0_1061_1062,axiom,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X61,tc_nat),X50) = c_Numeral_Onumber__of(X61,X50) ),
    file('<stdin>',cls_NatBin_Oof__nat__number__of__eq_1) ).

fof(c_0_1062_1063,axiom,
    ! [X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_less(X23,X23,X50) ),
    file('<stdin>',cls_Orderings_Oorder__less__irrefl_0) ).

fof(c_0_1063_1064,axiom,
    ! [X62] :
      ( ~ c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X62)) = X62 ),
    file('<stdin>',cls_IntDef_Oint__nat__eq_0) ).

fof(c_0_1064_1065,axiom,
    ! [X53] :
      ( ~ c_lessequals(c_IntDef_Oint(X53),c_0,tc_IntDef_Oint)
      | X53 = c_0 ),
    file('<stdin>',cls_IntDef_Oint__le__0__conv_0) ).

fof(c_0_1065_1066,axiom,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(X54,c_Suc(c_0),tc_nat)
      | X54 = c_Suc(c_0) ),
    file('<stdin>',cls_Divides_Odvd__1__iff__1_0) ).

fof(c_0_1066_1067,axiom,
    ! [X61] :
      ( c_0 != c_Numeral_Onumber__of(X61,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oeq__0__number__of_0) ).

fof(c_0_1067_1068,axiom,
    ! [X61] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oeq__number__of__0_0) ).

fof(c_0_1068_1069,axiom,
    ! [X66,X50] :
      ( c_less(c_0,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Olength__greater__0__conv_1) ).

fof(c_0_1069_1070,axiom,
    ! [X66,X50] :
      ( c_List_Oremdups(X66,X50) != X66
      | c_Nat_Osize(c_List_Oremdups(X66,X50),tc_List_Olist(X50)) = c_Nat_Osize(X66,tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Olength__remdups__eq_1) ).

fof(c_0_1070_1071,axiom,
    ! [X53] :
      ( ~ c_less(X53,c_Suc(c_0),tc_nat)
      | X53 = c_0 ),
    file('<stdin>',cls_Nat_Oless__Suc0_0) ).

fof(c_0_1071_1072,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(c_HOL_Oinverse(X49,X50),X49,X50) = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).

fof(c_0_1072_1073,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(X49,c_HOL_Oinverse(X49,X50),X50) = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Oright__inverse_0) ).

fof(c_0_1073_1074,axiom,
    ! [X66,X53,X50] :
      ( c_List_Otake(X53,X66,X50) != c_List_Olist_ONil
      | X53 = c_0
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Otake__eq__Nil_0) ).

fof(c_0_1074_1075,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != X65
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oappend__self__conv2_0) ).

fof(c_0_1075_1076,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != X66
      | X65 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oappend__self__conv_0) ).

fof(c_0_1076_1077,axiom,
    ! [X65,X66,X50] :
      ( X65 != c_append(X66,X65,X50)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oself__append__conv2_0) ).

fof(c_0_1077_1078,axiom,
    ! [X65,X66,X50] :
      ( X66 != c_append(X66,X65,X50)
      | X65 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oself__append__conv_0) ).

fof(c_0_1078_1079,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_Suc(c_0)
      | X54 = c_1 ),
    file('<stdin>',cls_Nat_Omult__eq__1__iff_0) ).

fof(c_0_1079_1080,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_Suc(c_0)
      | X53 = c_1 ),
    file('<stdin>',cls_Nat_Omult__eq__1__iff_1) ).

fof(c_0_1080_1081,axiom,
    ! [X53,X54] :
      ( c_Suc(c_0) != c_times(X54,X53,tc_nat)
      | X54 = c_1 ),
    file('<stdin>',cls_Nat_Oone__eq__mult__iff_0) ).

fof(c_0_1081_1082,axiom,
    ! [X53,X54] :
      ( c_Suc(c_0) != c_times(X54,X53,tc_nat)
      | X53 = c_1 ),
    file('<stdin>',cls_Nat_Oone__eq__mult__iff_1) ).

fof(c_0_1082_1083,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_1,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Onot__one__le__zero_0) ).

fof(c_0_1083_1084,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Onot__one__less__zero_0) ).

fof(c_0_1084_1085,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_plus(c_uminus(X49,X50),X49,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0) ).

fof(c_0_1085_1086,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_plus(X49,c_uminus(X49,X50),X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oright__minus_0) ).

fof(c_0_1086_1087,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_less(c_0,c_HOL_Oabs(X49,X50),X50)
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Ozero__less__abs__iff_1) ).

fof(c_0_1087_1088,axiom,
    ! [X48,X12,X50] :
      ( c_emptyset != c_Equiv__Relations_Oquotient(X12,X48,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Equiv__Relations_Oquotient__is__empty2_0) ).

fof(c_0_1088_1089,axiom,
    ! [X48,X12,X50] :
      ( c_Equiv__Relations_Oquotient(X12,X48,X50) != c_emptyset
      | X12 = c_emptyset ),
    file('<stdin>',cls_Equiv__Relations_Oquotient__is__empty_0) ).

fof(c_0_1089_1090,axiom,
    ! [X65,X66,X50] :
      ( c_List_Olist_ONil != c_append(X66,X65,X50)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_ONil__is__append__conv_0) ).

fof(c_0_1090_1091,axiom,
    ! [X65,X66,X50] :
      ( c_List_Olist_ONil != c_append(X66,X65,X50)
      | X65 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_ONil__is__append__conv_1) ).

fof(c_0_1091_1092,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oappend__is__Nil__conv_0) ).

fof(c_0_1092_1093,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_List_Olist_ONil
      | X65 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oappend__is__Nil__conv_1) ).

fof(c_0_1093_1094,axiom,
    ! [X66,X53,X50] :
      ( c_List_Orotate(X53,X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Orotate__is__Nil__conv_0) ).

fof(c_0_1094_1095,axiom,
    ! [X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_UNIV
      | X12 = c_UNIV ),
    file('<stdin>',cls_Set_OInt__UNIV_0) ).

fof(c_0_1095_1096,axiom,
    ! [X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_UNIV
      | X10 = c_UNIV ),
    file('<stdin>',cls_Set_OInt__UNIV_1) ).

fof(c_0_1096_1097,axiom,
    ! [X10,X12,X50] :
      ( c_union(X12,X10,X50) != c_emptyset
      | X12 = c_emptyset ),
    file('<stdin>',cls_Set_OUn__empty_0) ).

fof(c_0_1097_1098,axiom,
    ! [X10,X12,X50] :
      ( c_union(X12,X10,X50) != c_emptyset
      | X10 = c_emptyset ),
    file('<stdin>',cls_Set_OUn__empty_1) ).

fof(c_0_1098_1099,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_0
      | X53 = c_0
      | X54 = c_0 ),
    file('<stdin>',cls_Nat_Omult__is__0_0) ).

fof(c_0_1099_1100,axiom,
    ! [X25] :
      ( ~ c_in(X25,c_Message_OsymKeys,tc_nat)
      | c_Message_OinvKey(X25) = X25 ),
    file('<stdin>',cls_Public_OinvKey__K_0) ).

fof(c_0_1100_1101,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_NatArith_Oof__nat(X53,X50),c_IntDef_ONats,X50) ),
    file('<stdin>',cls_IntDef_Oof__nat__in__Nats_0) ).

fof(c_0_1101_1102,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_0,c_NatArith_Oof__nat(X53,X50),X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__0__le__iff_0) ).

fof(c_0_1102_1103,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_lessequals(c_0,c_HOL_Oabs(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(c_0_1103_1104,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_lessequals(c_OrderedGroup_Onprt(X49,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Onprt__le__zero_0) ).

fof(c_0_1104_1105,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_lessequals(c_0,c_OrderedGroup_Opprt(X49,X50),X50) ),
    file('<stdin>',cls_OrderedGroup_Ozero__le__pprt_0) ).

fof(c_0_1105_1106,axiom,
    ! [X62] :
      ( ~ c_lessequals(X62,c_0,tc_IntDef_Oint)
      | c_IntDef_Onat(X62) = c_0 ),
    file('<stdin>',cls_IntDef_Onat__le__0_0) ).

fof(c_0_1106_1107,axiom,
    ! [X53,X54] :
      ( c_plus(X54,X53,tc_nat) != c_0
      | X54 = c_0 ),
    file('<stdin>',cls_Nat_Oadd__is__0_0) ).

fof(c_0_1107_1108,axiom,
    ! [X53,X54] :
      ( c_plus(X54,X53,tc_nat) != c_0
      | X53 = c_0 ),
    file('<stdin>',cls_Nat_Oadd__is__0_1) ).

fof(c_0_1108_1109,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_uminus(X62,tc_IntDef_Oint),X50) = c_uminus(c_IntDef_Oof__int(X62,X50),X50) ),
    file('<stdin>',cls_IntDef_Oof__int__minus_0) ).

fof(c_0_1109_1110,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X61,tc_nat)) = c_1 ),
    file('<stdin>',cls_NatBin_OSuc__nat__number__of_0) ).

fof(c_0_1110_1111,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)) = c_0 ),
    file('<stdin>',cls_NatBin_Oint__nat__number__of_0) ).

fof(c_0_1111_1112,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_NatArith_Oof__nat(c_0,X50),c_0,X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__le__0__iff_1) ).

fof(c_0_1112_1113,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_lessequals(c_HOL_Oabs(c_0,X50),c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__le__zero__iff_1) ).

fof(c_0_1113_1114,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X50),X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Ojoin__0__eq__0_1) ).

fof(c_0_1114_1115,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Omeet(c_0,c_uminus(c_0,X50),X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Omeet__0__eq__0_1) ).

fof(c_0_1115_1116,axiom,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(c_0,X54,tc_nat)
      | X54 = c_0 ),
    file('<stdin>',cls_Divides_Odvd__0__left__iff_0) ).

fof(c_0_1116_1117,axiom,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(c_0,X54,tc_IntDef_Oint)
      | X54 = c_0 ),
    file('<stdin>',cls_IntDiv_Ozdvd__0__left_0) ).

fof(c_0_1117_1118,axiom,
    ! [X52] :
      ( ~ c_lessequals(X52,c_0,tc_nat)
      | X52 = c_0 ),
    file('<stdin>',cls_Nat_Ole__0__eq_0) ).

fof(c_0_1118_1119,axiom,
    ! [X53] :
      ( ~ c_less(X53,c_1,tc_nat)
      | X53 = c_0 ),
    file('<stdin>',cls_Nat_Oless__one_0) ).

fof(c_0_1119_1120,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_Oall__not__in__conv__1(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    file('<stdin>',cls_Set_Oall__not__in__conv_0) ).

fof(c_0_1120_1121,axiom,
    ! [X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X61,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X61),tc_nat) ),
    file('<stdin>',cls_NatBin_OSuc__nat__number__of_1) ).

fof(c_0_1121_1122,axiom,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(c_List_Orotate1(X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    file('<stdin>',cls_List_Odistinct1__rotate_0) ).

fof(c_0_1122_1123,axiom,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(c_List_Orev(X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    file('<stdin>',cls_List_Odistinct__rev_0) ).

fof(c_0_1123_1124,axiom,
    ! [X55,X52] :
      ( c_List_Oupt(X52,X55) != c_List_Olist_ONil
      | c_lessequals(X55,X52,tc_nat)
      | X55 = c_0 ),
    file('<stdin>',cls_List_Oupt__eq__Nil__conv_0) ).

fof(c_0_1124_1125,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X7,X28) != c_Message_Omsg_OMPair(X6,X31)
      | X6 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)) ),
    file('<stdin>',cls_Message_OHPair__eq__MPair_0) ).

fof(c_0_1125_1126,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_Omsg_OMPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X6 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)) ),
    file('<stdin>',cls_Message_OMPair__eq__HPair_0) ).

fof(c_0_1126_1127,axiom,
    ! [X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)) = c_Numeral_Onumber__of(X61,tc_IntDef_Oint) ),
    file('<stdin>',cls_NatBin_Oint__nat__number__of_1) ).

fof(c_0_1127_1128,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(c_0,X49,X50) = c_uminus(X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Odiff__0_0) ).

fof(c_0_1128_1129,axiom,
    ! [X12,X50] :
      ( c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(X12,X50) = c_0 ),
    file('<stdin>',cls_Finite__Set_Ocard__infinite_0) ).

fof(c_0_1129_1130,axiom,
    ! [X55,X52] :
      ( c_lessequals(X52,X55,tc_nat)
      | c_List_Oupt(X52,c_Suc(X55)) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oupt_Oupt__Suc_1) ).

fof(c_0_1130_1131,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__7_0) ).

fof(c_0_1131_1132,axiom,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | X23 = c_0
      | c_divide(X23,X23,X50) = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__eq__1_2) ).

fof(c_0_1132_1133,axiom,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | X23 = c_0
      | c_1 = c_divide(X23,X23,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oeq__divide__eq__1_2) ).

fof(c_0_1133_1134,axiom,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X48,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Owf__lenlex_0) ).

fof(c_0_1134_1135,axiom,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_List_Olex(X48,X50),tc_List_Olist(X50)) ),
    file('<stdin>',cls_List_Owf__lex_0) ).

fof(c_0_1135_1136,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X61,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__0__number__of_1) ).

fof(c_0_1136_1137,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X61,tc_nat) ),
    file('<stdin>',cls_NatBin_Oeq__0__number__of_2) ).

fof(c_0_1137_1138,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Oeq__number__of__0_1) ).

fof(c_0_1138_1139,axiom,
    ! [X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    file('<stdin>',cls_NatBin_Oeq__number__of__0_2) ).

fof(c_0_1139_1140,axiom,
    ! [X23] :
      ( ~ c_Parity_Oeven(c_uminus(X23,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__neg_0) ).

fof(c_0_1140_1141,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,X27,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__0__iff_1) ).

fof(c_0_1141_1142,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__eq__0__iff_2) ).

fof(c_0_1142_1143,axiom,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_uminus(c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X60),X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__2_0) ).

fof(c_0_1143_1144,axiom,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OatLeast(X21,X50),tc_set(X50)) = c_SetInterval_OlessThan(X21,X50) ),
    file('<stdin>',cls_SetInterval_OCompl__atLeast_0) ).

fof(c_0_1144_1145,axiom,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OatMost(X21,X50),tc_set(X50)) = c_SetInterval_OgreaterThan(X21,X50) ),
    file('<stdin>',cls_SetInterval_OCompl__atMost_0) ).

fof(c_0_1145_1146,axiom,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OgreaterThan(X21,X50),tc_set(X50)) = c_SetInterval_OatMost(X21,X50) ),
    file('<stdin>',cls_SetInterval_OCompl__greaterThan_0) ).

fof(c_0_1146_1147,axiom,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OlessThan(X21,X50),tc_set(X50)) = c_SetInterval_OatLeast(X21,X50) ),
    file('<stdin>',cls_SetInterval_OCompl__lessThan_0) ).

fof(c_0_1147_1148,axiom,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Suc(X53),X50) = c_0 ),
    file('<stdin>',cls_Power_Opower__0__Suc_0) ).

fof(c_0_1148_1149,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__self__if_0) ).

fof(c_0_1149_1150,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(c_1,c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Oone__divide__eq__0__iff_1) ).

fof(c_0_1150_1151,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_0 = c_divide(c_1,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__eq__1__divide__iff_1) ).

fof(c_0_1151_1152,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__3_0) ).

fof(c_0_1152_1153,axiom,
    ! [X10,X12,X50] :
      ( c_uminus(X12,tc_set(X50)) != c_uminus(X10,tc_set(X50))
      | X12 = X10 ),
    file('<stdin>',cls_Set_OCompl__eq__Compl__iff_0) ).

fof(c_0_1153_1154,axiom,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orotate1(X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct1__rotate_1) ).

fof(c_0_1154_1155,axiom,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orev(X66,X50),X50) ),
    file('<stdin>',cls_List_Odistinct__rev_1) ).

fof(c_0_1155_1156,axiom,
    ! [X25,X50] :
      ( ~ class_LOrder_Ojoin__semilorder(X50)
      | c_LOrder_Ojoin(X25,X25,X50) = X25 ),
    file('<stdin>',cls_LOrder_Ojoin__idempotent_0) ).

fof(c_0_1156_1157,axiom,
    ! [X25,X50] :
      ( ~ class_LOrder_Omeet__semilorder(X50)
      | c_LOrder_Omeet(X25,X25,X50) = X25 ),
    file('<stdin>',cls_LOrder_Omeet__idempotent_0) ).

fof(c_0_1157_1158,axiom,
    ! [X25,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omin(X25,X25,X51) = X25 ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0) ).

fof(c_0_1158_1159,axiom,
    ! [X25,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omax(X25,X25,X51) = X25 ),
    file('<stdin>',cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0) ).

fof(c_0_1159_1160,axiom,
    ! [X62] :
      ( c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X62)) = c_0 ),
    file('<stdin>',cls_IntDef_Oint__nat__eq_1) ).

fof(c_0_1160_1161,axiom,
    ! [X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_lessequals(X23,X23,X50) ),
    file('<stdin>',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

fof(c_0_1161_1162,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,X49,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Odiff__self_0) ).

fof(c_0_1162_1163,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_HOL_Oabs(X49,X50),X50) = c_HOL_Oabs(X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__idempotent_0) ).

fof(c_0_1163_1164,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_uminus(X49,X50),X50) = c_HOL_Oabs(X49,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__minus__cancel_0) ).

fof(c_0_1164_1165,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X50)
      | c_plus(X25,c_0,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Oadd__0__right_0) ).

fof(c_0_1165_1166,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X50)
      | c_plus(c_0,X25,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

fof(c_0_1166_1167,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X25,c_0,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Odiff__0__right_0) ).

fof(c_0_1167_1168,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Omonoid__mult(X50)
      | c_times(c_1,X25,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

fof(c_0_1168_1169,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Omonoid__mult(X50)
      | c_times(X25,c_1,X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0) ).

fof(c_0_1169_1170,axiom,
    ! [X25,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(X25,c_1,X50) = X25 ),
    file('<stdin>',cls_Power_Opower__one__right_0) ).

fof(c_0_1170_1171,axiom,
    ! [X25,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X25,c_1,X50) = X25 ),
    file('<stdin>',cls_Ring__and__Field_Odivide__1_0) ).

fof(c_0_1171_1172,axiom,
    ! [X26,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 = c_times(X26,c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__left1_2) ).

fof(c_0_1172_1173,axiom,
    ! [X26,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 = c_times(c_1,X26,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__right1_2) ).

fof(c_0_1173_1174,axiom,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X49,X50) != c_HOL_Oinverse(X27,X50)
      | X49 = X27 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__eq__iff__eq_0) ).

fof(c_0_1174_1175,axiom,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_1,X53,X50) = c_1 ),
    file('<stdin>',cls_Power_Opower__one_0) ).

fof(c_0_1175_1176,axiom,
    ! [X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(X49,c_0,X50) = c_1 ),
    file('<stdin>',cls_Power_Orecpower__class_Oaxioms__1_0) ).

fof(c_0_1176_1177,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_times(c_0,X27,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__left1_1) ).

fof(c_0_1177_1178,axiom,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_times(X27,c_0,X50) ),
    file('<stdin>',cls_Ring__and__Field_Omult__cancel__right1_1) ).

fof(c_0_1178_1179,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X50)
      | c_times(c_0,X49,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__zero__left_0) ).

fof(c_0_1179_1180,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X50)
      | c_times(X49,c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Omult__zero__right_0) ).

fof(c_0_1180_1181,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_in(c_0,c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__0_0) ).

fof(c_0_1181_1182,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_in(c_1,c_IntDef_OInts,X50) ),
    file('<stdin>',cls_IntDef_OInts__1_0) ).

fof(c_0_1182_1183,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_0,c_IntDef_ONats,X50) ),
    file('<stdin>',cls_IntDef_ONats__0_0) ).

fof(c_0_1183_1184,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_1,c_IntDef_ONats,X50) ),
    file('<stdin>',cls_IntDef_ONats__1_0) ).

fof(c_0_1184_1185,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_less(c_0,c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0) ).

fof(c_0_1185_1186,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_0,c_1,X50) ),
    file('<stdin>',cls_Ring__and__Field_Ozero__le__one_0) ).

fof(c_0_1186_1187,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X53,tc_IntDef_Oint),X50) = c_NatArith_Oof__nat(X53,X50) ),
    file('<stdin>',cls_IntDef_Oof__int__of__nat__eq_0) ).

fof(c_0_1187_1188,axiom,
    ! [X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_uminus(X23,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('<stdin>',cls_Parity_Oeven__neg_1) ).

fof(c_0_1188_1189,axiom,
    ! [X25,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_HOL_Oinverse(X25,X50),X50) = X25 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__inverse__eq_0) ).

fof(c_0_1189_1190,axiom,
    ! [X49] :
      ( X49 = c_0
      | c_div(X49,X49,tc_IntDef_Oint) = c_1 ),
    file('<stdin>',cls_IntDiv_Ozdiv__self_0) ).

fof(c_0_1190_1191,axiom,
    ! [X61,X54] :
      ( c_IntDef_Oint(X54) != c_Numeral_Onumber__of(X61,tc_IntDef_Oint)
      | X54 = c_IntDef_Onat(c_Numeral_Onumber__of(X61,tc_IntDef_Oint)) ),
    file('<stdin>',cls_IntArith_Oint__eq__iff__number__of_0) ).

fof(c_0_1191_1192,axiom,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(X60,X50) != c_IntDef_Oof__int(X62,X50)
      | X60 = X62 ),
    file('<stdin>',cls_IntDef_Oof__int__eq__iff_0) ).

fof(c_0_1192_1193,axiom,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(X54,X50) != c_NatArith_Oof__nat(X53,X50)
      | X54 = X53 ),
    file('<stdin>',cls_NatArith_Oof__nat__eq__iff_0) ).

fof(c_0_1193_1194,axiom,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(X49,X50) != c_uminus(X27,X50)
      | X49 = X27 ),
    file('<stdin>',cls_OrderedGroup_Oneg__equal__iff__equal_0) ).

fof(c_0_1194_1195,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OatLeast(X23,X50) != c_SetInterval_OatLeast(X25,X50)
      | X23 = X25 ),
    file('<stdin>',cls_SetInterval_OatLeast__eq__iff_0) ).

fof(c_0_1195_1196,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OatMost(X23,X50) != c_SetInterval_OatMost(X25,X50)
      | X23 = X25 ),
    file('<stdin>',cls_SetInterval_OatMost__eq__iff_0) ).

fof(c_0_1196_1197,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OgreaterThan(X23,X50) != c_SetInterval_OgreaterThan(X25,X50)
      | X23 = X25 ),
    file('<stdin>',cls_SetInterval_OgreaterThan__eq__iff_0) ).

fof(c_0_1197_1198,axiom,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OlessThan(X23,X50) != c_SetInterval_OlessThan(X25,X50)
      | X23 = X25 ),
    file('<stdin>',cls_SetInterval_OlessThan__eq__iff_0) ).

fof(c_0_1198_1199,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    file('<stdin>',cls_IntArith_Oof__int__m1_0) ).

fof(c_0_1199_1200,axiom,
    ! [X53] :
      ( c_less(c_0,X53,tc_nat)
      | X53 = c_0 ),
    file('<stdin>',cls_Nat_Onot__gr0_0) ).

fof(c_0_1200_1201,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_1 ),
    file('<stdin>',cls_IntArith_Oabs__minus__one_0) ).

fof(c_0_1201_1202,axiom,
    ! [X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(c_uminus(c_1,X51),X51) = c_1 ),
    file('<stdin>',cls_NatSimprocs_Oequation__minus__iff__1_1) ).

fof(c_0_1202_1203,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__11_0) ).

fof(c_0_1203_1204,axiom,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(X27,X51) != c_1
      | X27 = c_uminus(c_1,X51) ),
    file('<stdin>',cls_NatSimprocs_Oequation__minus__iff__1_0) ).

fof(c_0_1204_1205,axiom,
    ! [X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_Parity_Oeven(c_Suc(X23),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__Suc_0) ).

fof(c_0_1205_1206,axiom,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_uminus(X25,X50),X50) = X25 ),
    file('<stdin>',cls_OrderedGroup_Ominus__minus_0) ).

fof(c_0_1206_1207,axiom,
    ! [X59,X49,X50] :
      ( c_Datatype_Ooption_OSome(X49,X50) != c_Datatype_Ooption_OSome(X59,X50)
      | X49 = X59 ),
    file('<stdin>',cls_Datatype_Ooption_Oinject_0) ).

fof(c_0_1207_1208,axiom,
    ! [X77,X78,X79,X80] :
      ( c_List_Ochar_OChar(X80,X78) != c_List_Ochar_OChar(X79,X77)
      | X80 = X79 ),
    file('<stdin>',cls_List_Ochar_Oinject_0) ).

fof(c_0_1208_1209,axiom,
    ! [X77,X78,X79,X80] :
      ( c_List_Ochar_OChar(X80,X78) != c_List_Ochar_OChar(X79,X77)
      | X78 = X77 ),
    file('<stdin>',cls_List_Ochar_Oinject_1) ).

fof(c_0_1209_1210,axiom,
    ! [X65,X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Orev(X65,X50)
      | X66 = X65 ),
    file('<stdin>',cls_List_Orev__is__rev__conv_0) ).

fof(c_0_1210_1211,axiom,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OMPair(X46,X44) != c_Message_Omsg_OMPair(X45,X43)
      | X46 = X45 ),
    file('<stdin>',cls_Message_Omsg_Oinject__6_0) ).

fof(c_0_1211_1212,axiom,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OMPair(X46,X44) != c_Message_Omsg_OMPair(X45,X43)
      | X44 = X43 ),
    file('<stdin>',cls_Message_Omsg_Oinject__6_1) ).

fof(c_0_1212_1213,axiom,
    ! [X41,X42,X33,X34] :
      ( c_Message_Omsg_OCrypt(X42,X34) != c_Message_Omsg_OCrypt(X41,X33)
      | X42 = X41 ),
    file('<stdin>',cls_Message_Omsg_Oinject__7_0) ).

fof(c_0_1213_1214,axiom,
    ! [X41,X42,X33,X34] :
      ( c_Message_Omsg_OCrypt(X42,X34) != c_Message_Omsg_OCrypt(X41,X33)
      | X34 = X33 ),
    file('<stdin>',cls_Message_Omsg_Oinject__7_1) ).

fof(c_0_1214_1215,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_OGets(X36,X34) != c_Event_Oevent_OGets(X35,X33)
      | X36 = X35 ),
    file('<stdin>',cls_Event_Oevent_Oinject__2_0) ).

fof(c_0_1215_1216,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_OGets(X36,X34) != c_Event_Oevent_OGets(X35,X33)
      | X34 = X33 ),
    file('<stdin>',cls_Event_Oevent_Oinject__2_1) ).

fof(c_0_1216_1217,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_ONotes(X36,X34) != c_Event_Oevent_ONotes(X35,X33)
      | X36 = X35 ),
    file('<stdin>',cls_Event_Oevent_Oinject__3_0) ).

fof(c_0_1217_1218,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_ONotes(X36,X34) != c_Event_Oevent_ONotes(X35,X33)
      | X34 = X33 ),
    file('<stdin>',cls_Event_Oevent_Oinject__3_1) ).

fof(c_0_1218_1219,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X6 = X7 ),
    file('<stdin>',cls_Message_OHPair__eq_0) ).

fof(c_0_1219_1220,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X31 = X28 ),
    file('<stdin>',cls_Message_OHPair__eq_1) ).

fof(c_0_1220_1221,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X7,X28) != c_Message_Omsg_OMPair(X6,X31)
      | X31 = X28 ),
    file('<stdin>',cls_Message_OHPair__eq__MPair_1) ).

fof(c_0_1221_1222,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_Omsg_OMPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X31 = X28 ),
    file('<stdin>',cls_Message_OMPair__eq__HPair_1) ).

fof(c_0_1222_1223,axiom,
    ! [X26,X27,X11,X12] :
      ( c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X26,X11)
      | X27 = X26 ),
    file('<stdin>',cls_Public_OpublicKey__inject_0) ).

fof(c_0_1223_1224,axiom,
    ! [X26,X27,X11,X12] :
      ( c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X26,X11)
      | X12 = X11 ),
    file('<stdin>',cls_Public_OpublicKey__inject_1) ).

fof(c_0_1224_1225,axiom,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_fun(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    file('<stdin>',clsarity_fun_0) ).

fof(c_0_1225_1226,axiom,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_prod(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    file('<stdin>',clsarity_prod_0) ).

fof(c_0_1226_1227,axiom,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_sum(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    file('<stdin>',clsarity_sum_0) ).

fof(c_0_1227_1228,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X50),X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__2_0) ).

fof(c_0_1228_1229,axiom,
    ! [X23,X50] :
      ( X23 = c_Datatype_Ooption_ONone
      | X23 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X23,X50),X50) ),
    file('<stdin>',cls_Datatype_Onot__None__eq_0) ).

fof(c_0_1229_1230,axiom,
    ! [X23,X50] :
      ( X23 = c_Datatype_Ooption_ONone
      | X23 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X23,X50),X50) ),
    file('<stdin>',cls_Datatype_Onot__Some__eq_0) ).

fof(c_0_1230_1231,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_IntDef_Oint(X53),X50) = c_NatArith_Oof__nat(X53,X50) ),
    file('<stdin>',cls_IntDef_Oof__int__int__eq_0) ).

fof(c_0_1231_1232,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X50) = c_1 ),
    file('<stdin>',cls_Numeral_Onumeral__1__eq__1_0) ).

fof(c_0_1232_1233,axiom,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X23,X50) != c_1
      | X23 = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__eq__1__iff_0) ).

fof(c_0_1233_1234,axiom,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X49,X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_0) ).

fof(c_0_1234_1235,axiom,
    ! [X53,X54] :
      ( c_uminus(c_IntDef_Oint(X53),tc_IntDef_Oint) != c_IntDef_Oint(X54)
      | X53 = c_0 ),
    file('<stdin>',cls_IntDef_Onegative__eq__positive_0) ).

fof(c_0_1235_1236,axiom,
    ! [X53,X54] :
      ( c_uminus(c_IntDef_Oint(X53),tc_IntDef_Oint) != c_IntDef_Oint(X54)
      | X54 = c_0 ),
    file('<stdin>',cls_IntDef_Onegative__eq__positive_1) ).

fof(c_0_1236_1237,axiom,
    ! [X76,X50] :
      ( c_Main_ONil__eq__concat__conv__1(X76,X50) != c_List_Olist_ONil
      | c_List_Olist_ONil = c_List_Oconcat(X76,X50) ),
    file('<stdin>',cls_List_ONil__eq__concat__conv_2) ).

fof(c_0_1237_1238,axiom,
    ! [X76,X50] :
      ( c_Main_Oconcat__eq__Nil__conv__1(X76,X50) != c_List_Olist_ONil
      | c_List_Oconcat(X76,X50) = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oconcat__eq__Nil__conv_2) ).

fof(c_0_1238_1239,axiom,
    ! [X12,X50] :
      ( c_Main_OInter__UNIV__conv__1__1(X12,X50) != c_UNIV
      | c_Inter(X12,X50) = c_UNIV ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__1_2) ).

fof(c_0_1239_1240,axiom,
    ! [X12,X50] :
      ( c_Main_OInter__UNIV__conv__2__1(X12,X50) != c_UNIV
      | c_UNIV = c_Inter(X12,X50) ),
    file('<stdin>',cls_Set_OInter__UNIV__conv__2_2) ).

fof(c_0_1240_1241,axiom,
    ! [X12,X50] :
      ( c_Main_OUnion__empty__conv__1(X12,X50) != c_emptyset
      | c_Union(X12,X50) = c_emptyset ),
    file('<stdin>',cls_Set_OUnion__empty__conv_2) ).

fof(c_0_1241_1242,axiom,
    ! [X12,X50] :
      ( c_Main_Oempty__Union__conv__1(X12,X50) != c_emptyset
      | c_emptyset = c_Union(X12,X50) ),
    file('<stdin>',cls_Set_Oempty__Union__conv_2) ).

fof(c_0_1242_1243,axiom,
    ! [X66,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_0
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Olength__0__conv_0) ).

fof(c_0_1243_1244,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_uminus(c_1,X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    file('<stdin>',cls_Numeral_Obin__arith__extra__simps__3_0) ).

fof(c_0_1244_1245,axiom,
    ! [X23] :
      ( c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_Suc(X23),tc_nat) ),
    file('<stdin>',cls_Parity_Oeven__nat__Suc_1) ).

fof(c_0_1245_1246,axiom,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 != c_IntDef_Oof__int(X62,X50)
      | c_0 = X62 ),
    file('<stdin>',cls_IntDef_Oof__int__0__eq__iff_0) ).

fof(c_0_1246_1247,axiom,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(X60,X50) != c_0
      | X60 = c_0 ),
    file('<stdin>',cls_IntDef_Oof__int__eq__0__iff_0) ).

fof(c_0_1247_1248,axiom,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_0 != c_NatArith_Oof__nat(X53,X50)
      | c_0 = X53 ),
    file('<stdin>',cls_NatArith_Oof__nat__0__eq__iff_0) ).

fof(c_0_1248_1249,axiom,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(X54,X50) != c_0
      | X54 = c_0 ),
    file('<stdin>',cls_NatArith_Oof__nat__eq__0__iff_0) ).

fof(c_0_1249_1250,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_0 != c_HOL_Oabs(X49,X50)
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oabs__0__eq_0) ).

fof(c_0_1250_1251,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(X49,X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oabs__eq__0_0) ).

fof(c_0_1251_1252,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_0 != c_uminus(X49,X50)
      | c_0 = X49 ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__equal__iff__equal_0) ).

fof(c_0_1252_1253,axiom,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(X49,X50) != c_0
      | X49 = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oneg__equal__0__iff__equal_0) ).

fof(c_0_1253_1254,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_IntDef_Oiszero(c_1,X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__10_0) ).

fof(c_0_1254_1255,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_0,X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__8_0) ).

fof(c_0_1255_1256,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_1,X50) ),
    file('<stdin>',cls_Numeral_Obin__rel__simps__9_0) ).

fof(c_0_1256_1257,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_1,X50) = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__eq__1__iff_1) ).

fof(c_0_1257_1258,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_0,X50) = c_0 ),
    file('<stdin>',cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_1) ).

fof(c_0_1258_1259,axiom,
    ! [X86,X50] :
      ( c_Datatype_Oo2s(X86,X50) != c_emptyset
      | X86 = c_Datatype_Ooption_ONone ),
    file('<stdin>',cls_Datatype_Oo2s__empty__eq_0) ).

fof(c_0_1259_1260,axiom,
    ! [X66,X50] :
      ( c_List_Olist_ONil != c_List_Orev(X66,X50)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_ONil__is__rev__conv_0) ).

fof(c_0_1260_1261,axiom,
    ! [X23,X50] :
      ( c_List_Oremdups(X23,X50) != c_List_Olist_ONil
      | X23 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oremdups__eq__nil__iff_0) ).

fof(c_0_1261_1262,axiom,
    ! [X23,X50] :
      ( c_List_Olist_ONil != c_List_Oremdups(X23,X50)
      | X23 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oremdups__eq__nil__right__iff_0) ).

fof(c_0_1262_1263,axiom,
    ! [X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Orev__is__Nil__conv_0) ).

fof(c_0_1263_1264,axiom,
    ! [X66,X50] :
      ( c_List_Orotate1(X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Orotate1__is__Nil__conv_0) ).

fof(c_0_1264_1265,axiom,
    ! [X66,X50] :
      ( c_emptyset != c_List_Oset(X66,X50)
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oset__empty2_0) ).

fof(c_0_1265_1266,axiom,
    ! [X66,X50] :
      ( c_List_Oset(X66,X50) != c_emptyset
      | X66 = c_List_Olist_ONil ),
    file('<stdin>',cls_List_Oset__empty_0) ).

fof(c_0_1266_1267,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_IntDef_Oof__int(c_0,X50) ),
    file('<stdin>',cls_IntDef_Oof__int__0__eq__iff_1) ).

fof(c_0_1267_1268,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_1,X50) = c_1 ),
    file('<stdin>',cls_IntDef_Oof__int__1_0) ).

fof(c_0_1268_1269,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(c_0,X50) = c_0 ),
    file('<stdin>',cls_IntDef_Oof__int__eq__0__iff_1) ).

fof(c_0_1269_1270,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_0 = c_NatArith_Oof__nat(c_0,X50) ),
    file('<stdin>',cls_NatArith_Oof__nat__0__eq__iff_1) ).

fof(c_0_1270_1271,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_1,X50) = c_1 ),
    file('<stdin>',cls_NatArith_Oof__nat__1_0) ).

fof(c_0_1271_1272,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(c_0,X50) = c_0 ),
    file('<stdin>',cls_NatArith_Oof__nat__eq__0__iff_1) ).

fof(c_0_1272_1273,axiom,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(c_Numeral_OPls,X50) = c_0 ),
    file('<stdin>',cls_Numeral_Onumeral__0__eq__0_0) ).

fof(c_0_1273_1274,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_0 = c_HOL_Oabs(c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oabs__0__eq_1) ).

fof(c_0_1274_1275,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_0,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oabs__eq__0_1) ).

fof(c_0_1275_1276,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_0 = c_uminus(c_0,X50) ),
    file('<stdin>',cls_OrderedGroup_Oneg__0__equal__iff__equal_1) ).

fof(c_0_1276_1277,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_0,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Oneg__equal__0__iff__equal_1) ).

fof(c_0_1277_1278,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_OrderedGroup_Onprt(c_0,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Onprt__0_0) ).

fof(c_0_1278_1279,axiom,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_OrderedGroup_Opprt(c_0,X50) = c_0 ),
    file('<stdin>',cls_OrderedGroup_Opprt__0_0) ).

fof(c_0_1279_1280,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_1,X50) = c_1 ),
    file('<stdin>',cls_Ring__and__Field_Oabs__one_0) ).

fof(c_0_1280_1281,axiom,
    ! [X89] :
      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X89))
      | ~ class_Finite__Set_Ofinite(X89) ),
    file('<stdin>',clsarity_Datatype__Ooption_0) ).

fof(c_0_1281_1282,axiom,
    ! [X89] :
      ( class_Finite__Set_Ofinite(tc_set(X89))
      | ~ class_Finite__Set_Ofinite(X89) ),
    file('<stdin>',clsarity_set_3) ).

fof(c_0_1282_1283,axiom,
    ! [X53,X54] :
      ( c_IntDef_Oint(X54) != c_IntDef_Oint(X53)
      | X54 = X53 ),
    file('<stdin>',cls_IntDef_Oint__int__eq_0) ).

fof(c_0_1283_1284,axiom,
    ! [X53,X54] :
      ( c_Suc(X54) != c_Suc(X53)
      | X54 = X53 ),
    file('<stdin>',cls_Nat_OSuc__Suc__eq_0) ).

fof(c_0_1284_1285,axiom,
    ! [X41,X42] :
      ( c_Message_Oagent_OFriend(X42) != c_Message_Oagent_OFriend(X41)
      | X42 = X41 ),
    file('<stdin>',cls_Message_Oagent_Oinject_0) ).

fof(c_0_1285_1286,axiom,
    ! [X47,X8] :
      ( c_Message_OinvKey(X8) != c_Message_OinvKey(X47)
      | X8 = X47 ),
    file('<stdin>',cls_Message_OinvKey__eq_0) ).

fof(c_0_1286_1287,axiom,
    ! [X35,X36] :
      ( c_Message_Omsg_OAgent(X36) != c_Message_Omsg_OAgent(X35)
      | X36 = X35 ),
    file('<stdin>',cls_Message_Omsg_Oinject__1_0) ).

fof(c_0_1287_1288,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_ONumber(X42) != c_Message_Omsg_ONumber(X41)
      | X42 = X41 ),
    file('<stdin>',cls_Message_Omsg_Oinject__2_0) ).

fof(c_0_1288_1289,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_ONonce(X42) != c_Message_Omsg_ONonce(X41)
      | X42 = X41 ),
    file('<stdin>',cls_Message_Omsg_Oinject__3_0) ).

fof(c_0_1289_1290,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_OKey(X42) != c_Message_Omsg_OKey(X41)
      | X42 = X41 ),
    file('<stdin>',cls_Message_Omsg_Oinject__4_0) ).

fof(c_0_1290_1291,axiom,
    ! [X33,X34] :
      ( c_Message_Omsg_OHash(X34) != c_Message_Omsg_OHash(X33)
      | X34 = X33 ),
    file('<stdin>',cls_Message_Omsg_Oinject__5_0) ).

fof(c_0_1291_1292,axiom,
    ! [X25,X23] :
      ( c_Public_OshrK(X23) != c_Public_OshrK(X25)
      | X23 = X25 ),
    file('<stdin>',cls_Public_OshrK__injective_0) ).

fof(c_0_1292_1293,axiom,
    ! [X87] :
      ( ~ class_LOrder_Ojoin__semilorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_LOrder_Ojoin__semilorder_0) ).

fof(c_0_1293_1294,axiom,
    ! [X87] :
      ( ~ class_LOrder_Ojoin__semilorder(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(c_0_1294_1295,axiom,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_LOrder_Olorder_0) ).

fof(c_0_1295_1296,axiom,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_LOrder_Olorder_1) ).

fof(c_0_1296_1297,axiom,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_LOrder_Olorder_2) ).

fof(c_0_1297_1298,axiom,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_LOrder_Olorder_3) ).

fof(c_0_1298_1299,axiom,
    ! [X87] :
      ( ~ class_LOrder_Omeet__semilorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_LOrder_Omeet__semilorder_0) ).

fof(c_0_1299_1300,axiom,
    ! [X87] :
      ( ~ class_LOrder_Omeet__semilorder(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_LOrder_Omeet__semilorder_1) ).

fof(c_0_1300_1301,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_0) ).

fof(c_0_1301_1302,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_1) ).

fof(c_0_1302_1303,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_10) ).

fof(c_0_1303_1304,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_11) ).

fof(c_0_1304_1305,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_12) ).

fof(c_0_1305_1306,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_13) ).

fof(c_0_1306_1307,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_14) ).

fof(c_0_1307_1308,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_15) ).

fof(c_0_1308_1309,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_16) ).

fof(c_0_1309_1310,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_17) ).

fof(c_0_1310_1311,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_18) ).

fof(c_0_1311_1312,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_19) ).

fof(c_0_1312_1313,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_2) ).

fof(c_0_1313_1314,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_20) ).

fof(c_0_1314_1315,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_21) ).

fof(c_0_1315_1316,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_22) ).

fof(c_0_1316_1317,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_23) ).

fof(c_0_1317_1318,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_24) ).

fof(c_0_1318_1319,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_25) ).

fof(c_0_1319_1320,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_26) ).

fof(c_0_1320_1321,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_27) ).

fof(c_0_1321_1322,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_28) ).

fof(c_0_1322_1323,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_29) ).

fof(c_0_1323_1324,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_3) ).

fof(c_0_1324_1325,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Numeral_Onumber(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_30) ).

fof(c_0_1325_1326,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_4) ).

fof(c_0_1326_1327,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_5) ).

fof(c_0_1327_1328,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_6) ).

fof(c_0_1328_1329,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_7) ).

fof(c_0_1329_1330,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_8) ).

fof(c_0_1330_1331,axiom,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Numeral_Onumber__ring_9) ).

fof(c_0_1331_1332,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_0) ).

fof(c_0_1332_1333,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_1) ).

fof(c_0_1333_1334,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_2) ).

fof(c_0_1334_1335,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_3) ).

fof(c_0_1335_1336,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_4) ).

fof(c_0_1336_1337,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_5) ).

fof(c_0_1337_1338,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_6) ).

fof(c_0_1338_1339,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__group__add_7) ).

fof(c_0_1339_1340,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__add_0) ).

fof(c_0_1340_1341,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__add_1) ).

fof(c_0_1341_1342,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__mult_0) ).

fof(c_0_1342_1343,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oab__semigroup__mult_1) ).

fof(c_0_1343_1344,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) ).

fof(c_0_1344_1345,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) ).

fof(c_0_1345_1346,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) ).

fof(c_0_1346_1347,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) ).

fof(c_0_1347_1348,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__semigroup__add_0) ).

fof(c_0_1348_1349,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocancel__semigroup__add_1) ).

fof(c_0_1349_1350,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_0) ).

fof(c_0_1350_1351,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_1) ).

fof(c_0_1351_1352,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_2) ).

fof(c_0_1352_1353,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__add_3) ).

fof(c_0_1353_1354,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_0) ).

fof(c_0_1354_1355,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_1) ).

fof(c_0_1355_1356,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_2) ).

fof(c_0_1356_1357,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_3) ).

fof(c_0_1357_1358,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Ocomm__monoid__mult_4) ).

fof(c_0_1358_1359,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_0) ).

fof(c_0_1359_1360,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_1) ).

fof(c_0_1360_1361,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_10) ).

fof(c_0_1361_1362,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_11) ).

fof(c_0_1362_1363,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_12) ).

fof(c_0_1363_1364,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_13) ).

fof(c_0_1364_1365,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_14) ).

fof(c_0_1365_1366,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_15) ).

fof(c_0_1366_1367,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_16) ).

fof(c_0_1367_1368,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_17) ).

fof(c_0_1368_1369,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_2) ).

fof(c_0_1369_1370,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_3) ).

fof(c_0_1370_1371,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_4) ).

fof(c_0_1371_1372,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_5) ).

fof(c_0_1372_1373,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_6) ).

fof(c_0_1373_1374,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_7) ).

fof(c_0_1374_1375,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_8) ).

fof(c_0_1375_1376,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group_9) ).

fof(c_0_1376_1377,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).

fof(c_0_1377_1378,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

fof(c_0_1378_1379,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_10) ).

fof(c_0_1379_1380,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_11) ).

fof(c_0_1380_1381,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_12) ).

fof(c_0_1381_1382,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_13) ).

fof(c_0_1382_1383,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).

fof(c_0_1383_1384,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

fof(c_0_1384_1385,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).

fof(c_0_1385_1386,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

fof(c_0_1386_1387,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).

fof(c_0_1387_1388,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_2) ).

fof(c_0_1388_1389,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_3) ).

fof(c_0_1389_1390,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_4) ).

fof(c_0_1390_1391,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_5) ).

fof(c_0_1391_1392,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

fof(c_0_1392_1393,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).

fof(c_0_1393_1394,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).

fof(c_0_1394_1395,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__abs_9) ).

fof(c_0_1395_1396,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).

fof(c_0_1396_1397,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_1) ).

fof(c_0_1397_1398,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_10) ).

fof(c_0_1398_1399,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_11) ).

fof(c_0_1399_1400,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_12) ).

fof(c_0_1400_1401,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_13) ).

fof(c_0_1401_1402,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_14) ).

fof(c_0_1402_1403,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).

fof(c_0_1403_1404,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).

fof(c_0_1404_1405,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).

fof(c_0_1405_1406,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).

fof(c_0_1406_1407,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_2) ).

fof(c_0_1407_1408,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_3) ).

fof(c_0_1408_1409,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_4) ).

fof(c_0_1409_1410,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).

fof(c_0_1410_1411,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).

fof(c_0_1411_1412,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).

fof(c_0_1412_1413,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).

fof(c_0_1413_1414,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).

fof(c_0_1414_1415,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).

fof(c_0_1415_1416,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_1) ).

fof(c_0_1416_1417,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_10) ).

fof(c_0_1417_1418,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_11) ).

fof(c_0_1418_1419,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_12) ).

fof(c_0_1419_1420,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_13) ).

fof(c_0_1420_1421,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_14) ).

fof(c_0_1421_1422,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).

fof(c_0_1422_1423,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).

fof(c_0_1423_1424,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).

fof(c_0_1424_1425,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).

fof(c_0_1425_1426,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_2) ).

fof(c_0_1426_1427,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_3) ).

fof(c_0_1427_1428,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_4) ).

fof(c_0_1428_1429,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).

fof(c_0_1429_1430,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).

fof(c_0_1430_1431,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).

fof(c_0_1431_1432,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).

fof(c_0_1432_1433,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).

fof(c_0_1433_1434,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_0) ).

fof(c_0_1434_1435,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_1) ).

fof(c_0_1435_1436,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Omonoid__mult_2) ).

fof(c_0_1436_1437,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).

fof(c_0_1437_1438,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).

fof(c_0_1438_1439,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).

fof(c_0_1439_1440,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).

fof(c_0_1440_1441,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).

fof(c_0_1441_1442,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).

fof(c_0_1442_1443,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).

fof(c_0_1443_1444,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).

fof(c_0_1444_1445,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) ).

fof(c_0_1445_1446,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) ).

fof(c_0_1446_1447,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) ).

fof(c_0_1447_1448,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) ).

fof(c_0_1448_1449,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8) ).

fof(c_0_1449_1450,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).

fof(c_0_1450_1451,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).

fof(c_0_1451_1452,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_1) ).

fof(c_0_1452_1453,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).

fof(c_0_1453_1454,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).

fof(c_0_1454_1455,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).

fof(c_0_1455_1456,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).

fof(c_0_1456_1457,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_2) ).

fof(c_0_1457_1458,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_3) ).

fof(c_0_1458_1459,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_4) ).

fof(c_0_1459_1460,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_5) ).

fof(c_0_1460_1461,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_6) ).

fof(c_0_1461_1462,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_7) ).

fof(c_0_1462_1463,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_8) ).

fof(c_0_1463_1464,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).

fof(c_0_1464_1465,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).

fof(c_0_1465_1466,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).

fof(c_0_1466_1467,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) ).

fof(c_0_1467_1468,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) ).

fof(c_0_1468_1469,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add_4) ).

fof(c_0_1469_1470,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).

fof(c_0_1470_1471,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).

fof(c_0_1471_1472,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).

fof(c_0_1472_1473,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).

fof(c_0_1473_1474,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) ).

fof(c_0_1474_1475,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) ).

fof(c_0_1475_1476,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) ).

fof(c_0_1476_1477,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) ).

fof(c_0_1477_1478,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8) ).

fof(c_0_1478_1479,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).

fof(c_0_1479_1480,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).

fof(c_0_1480_1481,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).

fof(c_0_1481_1482,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) ).

fof(c_0_1482_1483,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) ).

fof(c_0_1483_1484,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5) ).

fof(c_0_1484_1485,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) ).

fof(c_0_1485_1486,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) ).

fof(c_0_1486_1487,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Osemigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Osemigroup__add_0) ).

fof(c_0_1487_1488,axiom,
    ! [X87] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_OrderedGroup_Osemigroup__mult_0) ).

fof(c_0_1488_1489,axiom,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Orderings_Olinorder_0) ).

fof(c_0_1489_1490,axiom,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Orderings_Olinorder_1) ).

fof(c_0_1490_1491,axiom,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Orderings_Olinorder_2) ).

fof(c_0_1491_1492,axiom,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Orderings_Olinorder_3) ).

fof(c_0_1492_1493,axiom,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Orderings_Olinorder_4) ).

fof(c_0_1493_1494,axiom,
    ! [X87] :
      ( ~ class_Orderings_Oorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Orderings_Oorder_0) ).

fof(c_0_1494_1495,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Nat_Opower(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_0) ).

fof(c_0_1495_1496,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_1) ).

fof(c_0_1496_1497,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_10) ).

fof(c_0_1497_1498,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_11) ).

fof(c_0_1498_1499,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_12) ).

fof(c_0_1499_1500,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_13) ).

fof(c_0_1500_1501,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_14) ).

fof(c_0_1501_1502,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_15) ).

fof(c_0_1502_1503,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_16) ).

fof(c_0_1503_1504,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_17) ).

fof(c_0_1504_1505,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_18) ).

fof(c_0_1505_1506,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_19) ).

fof(c_0_1506_1507,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_2) ).

fof(c_0_1507_1508,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_20) ).

fof(c_0_1508_1509,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_21) ).

fof(c_0_1509_1510,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_22) ).

fof(c_0_1510_1511,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_23) ).

fof(c_0_1511_1512,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_24) ).

fof(c_0_1512_1513,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_3) ).

fof(c_0_1513_1514,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_4) ).

fof(c_0_1514_1515,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_5) ).

fof(c_0_1515_1516,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_6) ).

fof(c_0_1516_1517,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_7) ).

fof(c_0_1517_1518,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_8) ).

fof(c_0_1518_1519,axiom,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Power_Orecpower_9) ).

fof(c_0_1519_1520,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) ).

fof(c_0_1520_1521,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) ).

fof(c_0_1521_1522,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_0) ).

fof(c_0_1522_1523,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).

fof(c_0_1523_1524,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__abs__if_2) ).

fof(c_0_1524_1525,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0) ).

fof(c_0_1525_1526,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1) ).

fof(c_0_1526_1527,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_0) ).

fof(c_0_1527_1528,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_1) ).

fof(c_0_1528_1529,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_10) ).

fof(c_0_1529_1530,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_11) ).

fof(c_0_1530_1531,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_12) ).

fof(c_0_1531_1532,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_13) ).

fof(c_0_1532_1533,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_14) ).

fof(c_0_1533_1534,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_15) ).

fof(c_0_1534_1535,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_16) ).

fof(c_0_1535_1536,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_17) ).

fof(c_0_1536_1537,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_18) ).

fof(c_0_1537_1538,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_2) ).

fof(c_0_1538_1539,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_3) ).

fof(c_0_1539_1540,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_4) ).

fof(c_0_1540_1541,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_5) ).

fof(c_0_1541_1542,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_6) ).

fof(c_0_1542_1543,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_7) ).

fof(c_0_1543_1544,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_8) ).

fof(c_0_1544_1545,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring_9) ).

fof(c_0_1545_1546,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_0) ).

fof(c_0_1546_1547,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_1) ).

fof(c_0_1547_1548,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_10) ).

fof(c_0_1548_1549,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_11) ).

fof(c_0_1549_1550,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_12) ).

fof(c_0_1550_1551,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_13) ).

fof(c_0_1551_1552,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_14) ).

fof(c_0_1552_1553,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_15) ).

fof(c_0_1553_1554,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_16) ).

fof(c_0_1554_1555,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_17) ).

fof(c_0_1555_1556,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_18) ).

fof(c_0_1556_1557,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_19) ).

fof(c_0_1557_1558,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_2) ).

fof(c_0_1558_1559,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_20) ).

fof(c_0_1559_1560,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_21) ).

fof(c_0_1560_1561,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_22) ).

fof(c_0_1561_1562,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_23) ).

fof(c_0_1562_1563,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).

fof(c_0_1563_1564,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_25) ).

fof(c_0_1564_1565,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_26) ).

fof(c_0_1565_1566,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_27) ).

fof(c_0_1566_1567,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_28) ).

fof(c_0_1567_1568,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_3) ).

fof(c_0_1568_1569,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_4) ).

fof(c_0_1569_1570,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_5) ).

fof(c_0_1570_1571,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_6) ).

fof(c_0_1571_1572,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_7) ).

fof(c_0_1572_1573,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_8) ).

fof(c_0_1573_1574,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__ring__1_9) ).

fof(c_0_1574_1575,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_0) ).

fof(c_0_1575_1576,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_1) ).

fof(c_0_1576_1577,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_2) ).

fof(c_0_1577_1578,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_3) ).

fof(c_0_1578_1579,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_4) ).

fof(c_0_1579_1580,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_5) ).

fof(c_0_1580_1581,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring_6) ).

fof(c_0_1581_1582,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_0) ).

fof(c_0_1582_1583,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_1) ).

fof(c_0_1583_1584,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_10) ).

fof(c_0_1584_1585,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_2) ).

fof(c_0_1585_1586,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_3) ).

fof(c_0_1586_1587,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_4) ).

fof(c_0_1587_1588,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_5) ).

fof(c_0_1588_1589,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_6) ).

fof(c_0_1589_1590,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_7) ).

fof(c_0_1590_1591,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_8) ).

fof(c_0_1591_1592,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0_9) ).

fof(c_0_1592_1593,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) ).

fof(c_0_1593_1594,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) ).

fof(c_0_1594_1595,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10) ).

fof(c_0_1595_1596,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) ).

fof(c_0_1596_1597,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) ).

fof(c_0_1597_1598,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) ).

fof(c_0_1598_1599,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) ).

fof(c_0_1599_1600,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) ).

fof(c_0_1600_1601,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) ).

fof(c_0_1601_1602,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) ).

fof(c_0_1602_1603,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) ).

fof(c_0_1603_1604,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) ).

fof(c_0_1604_1605,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) ).

fof(c_0_1605_1606,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) ).

fof(c_0_1606_1607,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) ).

fof(c_0_1607_1608,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_0) ).

fof(c_0_1608_1609,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_1) ).

fof(c_0_1609_1610,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_10) ).

fof(c_0_1610_1611,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_11) ).

fof(c_0_1611_1612,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_12) ).

fof(c_0_1612_1613,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_13) ).

fof(c_0_1613_1614,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_14) ).

fof(c_0_1614_1615,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_15) ).

fof(c_0_1615_1616,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_16) ).

fof(c_0_1616_1617,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_2) ).

fof(c_0_1617_1618,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_3) ).

fof(c_0_1618_1619,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_4) ).

fof(c_0_1619_1620,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_5) ).

fof(c_0_1620_1621,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_6) ).

fof(c_0_1621_1622,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_7) ).

fof(c_0_1622_1623,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_8) ).

fof(c_0_1623_1624,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1_9) ).

fof(c_0_1624_1625,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) ).

fof(c_0_1625_1626,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) ).

fof(c_0_1626_1627,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) ).

fof(c_0_1627_1628,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) ).

fof(c_0_1628_1629,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) ).

fof(c_0_1629_1630,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13) ).

fof(c_0_1630_1631,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) ).

fof(c_0_1631_1632,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) ).

fof(c_0_1632_1633,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) ).

fof(c_0_1633_1634,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) ).

fof(c_0_1634_1635,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) ).

fof(c_0_1635_1636,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) ).

fof(c_0_1636_1637,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) ).

fof(c_0_1637_1638,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) ).

fof(c_0_1638_1639,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) ).

fof(c_0_1639_1640,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) ).

fof(c_0_1640_1641,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) ).

fof(c_0_1641_1642,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) ).

fof(c_0_1642_1643,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) ).

fof(c_0_1643_1644,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) ).

fof(c_0_1644_1645,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) ).

fof(c_0_1645_1646,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) ).

fof(c_0_1646_1647,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) ).

fof(c_0_1647_1648,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Odivision__by__zero_0) ).

fof(c_0_1648_1649,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X87)
      | class_HOL_Oinverse(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Odivision__by__zero_1) ).

fof(c_0_1649_1650,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_0) ).

fof(c_0_1650_1651,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_1) ).

fof(c_0_1651_1652,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_10) ).

fof(c_0_1652_1653,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_11) ).

fof(c_0_1653_1654,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_12) ).

fof(c_0_1654_1655,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_13) ).

fof(c_0_1655_1656,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_14) ).

fof(c_0_1656_1657,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_15) ).

fof(c_0_1657_1658,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_16) ).

fof(c_0_1658_1659,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_17) ).

fof(c_0_1659_1660,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_18) ).

fof(c_0_1660_1661,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_19) ).

fof(c_0_1661_1662,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_2) ).

fof(c_0_1662_1663,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_20) ).

fof(c_0_1663_1664,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_21) ).

fof(c_0_1664_1665,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_22) ).

fof(c_0_1665_1666,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_23) ).

fof(c_0_1666_1667,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_24) ).

fof(c_0_1667_1668,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_25) ).

fof(c_0_1668_1669,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_26) ).

fof(c_0_1669_1670,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_27) ).

fof(c_0_1670_1671,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_28) ).

fof(c_0_1671_1672,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_29) ).

fof(c_0_1672_1673,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_3) ).

fof(c_0_1673_1674,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oinverse(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_30) ).

fof(c_0_1674_1675,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_31) ).

fof(c_0_1675_1676,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_32) ).

fof(c_0_1676_1677,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_4) ).

fof(c_0_1677_1678,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_5) ).

fof(c_0_1678_1679,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_6) ).

fof(c_0_1679_1680,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_7) ).

fof(c_0_1680_1681,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_8) ).

fof(c_0_1681_1682,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Ofield_9) ).

fof(c_0_1682_1683,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_0) ).

fof(c_0_1683_1684,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_1) ).

fof(c_0_1684_1685,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_10) ).

fof(c_0_1685_1686,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_11) ).

fof(c_0_1686_1687,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_12) ).

fof(c_0_1687_1688,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_13) ).

fof(c_0_1688_1689,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_14) ).

fof(c_0_1689_1690,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_15) ).

fof(c_0_1690_1691,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_16) ).

fof(c_0_1691_1692,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_17) ).

fof(c_0_1692_1693,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_18) ).

fof(c_0_1693_1694,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_19) ).

fof(c_0_1694_1695,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_2) ).

fof(c_0_1695_1696,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_20) ).

fof(c_0_1696_1697,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_21) ).

fof(c_0_1697_1698,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_22) ).

fof(c_0_1698_1699,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_23) ).

fof(c_0_1699_1700,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_24) ).

fof(c_0_1700_1701,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_25) ).

fof(c_0_1701_1702,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_26) ).

fof(c_0_1702_1703,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_27) ).

fof(c_0_1703_1704,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_28) ).

fof(c_0_1704_1705,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_29) ).

fof(c_0_1705_1706,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_3) ).

fof(c_0_1706_1707,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_30) ).

fof(c_0_1707_1708,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_4) ).

fof(c_0_1708_1709,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_5) ).

fof(c_0_1709_1710,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_6) ).

fof(c_0_1710_1711,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_7) ).

fof(c_0_1711_1712,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_8) ).

fof(c_0_1712_1713,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oidom_9) ).

fof(c_0_1713_1714,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_0) ).

fof(c_0_1714_1715,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_1) ).

fof(c_0_1715_1716,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_10) ).

fof(c_0_1716_1717,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_11) ).

fof(c_0_1717_1718,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_12) ).

fof(c_0_1718_1719,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_13) ).

fof(c_0_1719_1720,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_14) ).

fof(c_0_1720_1721,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_15) ).

fof(c_0_1721_1722,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_16) ).

fof(c_0_1722_1723,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_17) ).

fof(c_0_1723_1724,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_18) ).

fof(c_0_1724_1725,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_19) ).

fof(c_0_1725_1726,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_2) ).

fof(c_0_1726_1727,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_20) ).

fof(c_0_1727_1728,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_21) ).

fof(c_0_1728_1729,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_22) ).

fof(c_0_1729_1730,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_23) ).

fof(c_0_1730_1731,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_24) ).

fof(c_0_1731_1732,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_25) ).

fof(c_0_1732_1733,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_26) ).

fof(c_0_1733_1734,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_27) ).

fof(c_0_1734_1735,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_28) ).

fof(c_0_1735_1736,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_29) ).

fof(c_0_1736_1737,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_3) ).

fof(c_0_1737_1738,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_30) ).

fof(c_0_1738_1739,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_4) ).

fof(c_0_1739_1740,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_5) ).

fof(c_0_1740_1741,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_6) ).

fof(c_0_1741_1742,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_7) ).

fof(c_0_1742_1743,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_8) ).

fof(c_0_1743_1744,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Olordered__ring_9) ).

fof(c_0_1744_1745,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) ).

fof(c_0_1745_1746,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) ).

fof(c_0_1746_1747,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10) ).

fof(c_0_1747_1748,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11) ).

fof(c_0_1748_1749,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).

fof(c_0_1749_1750,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).

fof(c_0_1750_1751,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).

fof(c_0_1751_1752,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).

fof(c_0_1752_1753,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).

fof(c_0_1753_1754,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).

fof(c_0_1754_1755,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).

fof(c_0_1755_1756,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).

fof(c_0_1756_1757,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) ).

fof(c_0_1757_1758,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).

fof(c_0_1758_1759,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).

fof(c_0_1759_1760,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) ).

fof(c_0_1760_1761,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) ).

fof(c_0_1761_1762,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).

fof(c_0_1762_1763,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).

fof(c_0_1763_1764,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) ).

fof(c_0_1764_1765,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).

fof(c_0_1765_1766,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).

fof(c_0_1766_1767,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).

fof(c_0_1767_1768,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) ).

fof(c_0_1768_1769,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) ).

fof(c_0_1769_1770,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) ).

fof(c_0_1770_1771,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6) ).

fof(c_0_1771_1772,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) ).

fof(c_0_1772_1773,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) ).

fof(c_0_1773_1774,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) ).

fof(c_0_1774_1775,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ofield(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_0) ).

fof(c_0_1775_1776,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oinverse(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_1) ).

fof(c_0_1776_1777,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_10) ).

fof(c_0_1777_1778,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_11) ).

fof(c_0_1778_1779,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_12) ).

fof(c_0_1779_1780,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_13) ).

fof(c_0_1780_1781,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_14) ).

fof(c_0_1781_1782,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_15) ).

fof(c_0_1782_1783,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_16) ).

fof(c_0_1783_1784,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_17) ).

fof(c_0_1784_1785,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_18) ).

fof(c_0_1785_1786,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_19) ).

fof(c_0_1786_1787,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_2) ).

fof(c_0_1787_1788,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_20) ).

fof(c_0_1788_1789,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_21) ).

fof(c_0_1789_1790,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_22) ).

fof(c_0_1790_1791,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_23) ).

fof(c_0_1791_1792,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_24) ).

fof(c_0_1792_1793,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_25) ).

fof(c_0_1793_1794,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_26) ).

fof(c_0_1794_1795,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_27) ).

fof(c_0_1795_1796,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_28) ).

fof(c_0_1796_1797,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_29) ).

fof(c_0_1797_1798,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_3) ).

fof(c_0_1798_1799,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_30) ).

fof(c_0_1799_1800,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_31) ).

fof(c_0_1800_1801,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_32) ).

fof(c_0_1801_1802,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_33) ).

fof(c_0_1802_1803,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__idom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_34) ).

fof(c_0_1803_1804,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_35) ).

fof(c_0_1804_1805,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_36) ).

fof(c_0_1805_1806,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_37) ).

fof(c_0_1806_1807,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__ring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_38) ).

fof(c_0_1807_1808,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_39) ).

fof(c_0_1808_1809,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_4) ).

fof(c_0_1809_1810,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_40) ).

fof(c_0_1810_1811,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_41) ).

fof(c_0_1811_1812,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_42) ).

fof(c_0_1812_1813,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_43) ).

fof(c_0_1813_1814,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_44) ).

fof(c_0_1814_1815,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_45) ).

fof(c_0_1815_1816,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_46) ).

fof(c_0_1816_1817,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_47) ).

fof(c_0_1817_1818,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_48) ).

fof(c_0_1818_1819,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_49) ).

fof(c_0_1819_1820,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_5) ).

fof(c_0_1820_1821,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_50) ).

fof(c_0_1821_1822,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_51) ).

fof(c_0_1822_1823,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_52) ).

fof(c_0_1823_1824,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_53) ).

fof(c_0_1824_1825,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_54) ).

fof(c_0_1825_1826,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_55) ).

fof(c_0_1826_1827,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_56) ).

fof(c_0_1827_1828,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_57) ).

fof(c_0_1828_1829,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_58) ).

fof(c_0_1829_1830,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_59) ).

fof(c_0_1830_1831,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_6) ).

fof(c_0_1831_1832,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__semidom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_60) ).

fof(c_0_1832_1833,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_7) ).

fof(c_0_1833_1834,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_8) ).

fof(c_0_1834_1835,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__field_9) ).

fof(c_0_1835_1836,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_0) ).

fof(c_0_1836_1837,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_1) ).

fof(c_0_1837_1838,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_10) ).

fof(c_0_1838_1839,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_11) ).

fof(c_0_1839_1840,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_12) ).

fof(c_0_1840_1841,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_13) ).

fof(c_0_1841_1842,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_14) ).

fof(c_0_1842_1843,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_15) ).

fof(c_0_1843_1844,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_16) ).

fof(c_0_1844_1845,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_17) ).

fof(c_0_1845_1846,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_18) ).

fof(c_0_1846_1847,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_19) ).

fof(c_0_1847_1848,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_2) ).

fof(c_0_1848_1849,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_20) ).

fof(c_0_1849_1850,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_21) ).

fof(c_0_1850_1851,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_22) ).

fof(c_0_1851_1852,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_23) ).

fof(c_0_1852_1853,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_24) ).

fof(c_0_1853_1854,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_25) ).

fof(c_0_1854_1855,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_26) ).

fof(c_0_1855_1856,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_27) ).

fof(c_0_1856_1857,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_28) ).

fof(c_0_1857_1858,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_29) ).

fof(c_0_1858_1859,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_3) ).

fof(c_0_1859_1860,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_30) ).

fof(c_0_1860_1861,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_31) ).

fof(c_0_1861_1862,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_32) ).

fof(c_0_1862_1863,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_33) ).

fof(c_0_1863_1864,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_34) ).

fof(c_0_1864_1865,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_35) ).

fof(c_0_1865_1866,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_36) ).

fof(c_0_1866_1867,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_37) ).

fof(c_0_1867_1868,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_38) ).

fof(c_0_1868_1869,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_39) ).

fof(c_0_1869_1870,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_4) ).

fof(c_0_1870_1871,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_40) ).

fof(c_0_1871_1872,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_41) ).

fof(c_0_1872_1873,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_42) ).

fof(c_0_1873_1874,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_43) ).

fof(c_0_1874_1875,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(c_0_1875_1876,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_45) ).

fof(c_0_1876_1877,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_46) ).

fof(c_0_1877_1878,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__ring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_47) ).

fof(c_0_1878_1879,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_48) ).

fof(c_0_1879_1880,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_49) ).

fof(c_0_1880_1881,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_5) ).

fof(c_0_1881_1882,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(c_0_1882_1883,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_51) ).

fof(c_0_1883_1884,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_52) ).

fof(c_0_1884_1885,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_53) ).

fof(c_0_1885_1886,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_54) ).

fof(c_0_1886_1887,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__semidom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_55) ).

fof(c_0_1887_1888,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_56) ).

fof(c_0_1888_1889,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_57) ).

fof(c_0_1889_1890,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_6) ).

fof(c_0_1890_1891,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_7) ).

fof(c_0_1891_1892,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_8) ).

fof(c_0_1892_1893,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__idom_9) ).

fof(c_0_1893_1894,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_0) ).

fof(c_0_1894_1895,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_1) ).

fof(c_0_1895_1896,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_10) ).

fof(c_0_1896_1897,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_11) ).

fof(c_0_1897_1898,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_12) ).

fof(c_0_1898_1899,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_13) ).

fof(c_0_1899_1900,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_14) ).

fof(c_0_1900_1901,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).

fof(c_0_1901_1902,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).

fof(c_0_1902_1903,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).

fof(c_0_1903_1904,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).

fof(c_0_1904_1905,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).

fof(c_0_1905_1906,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_2) ).

fof(c_0_1906_1907,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).

fof(c_0_1907_1908,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).

fof(c_0_1908_1909,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).

fof(c_0_1909_1910,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).

fof(c_0_1910_1911,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).

fof(c_0_1911_1912,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).

fof(c_0_1912_1913,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).

fof(c_0_1913_1914,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).

fof(c_0_1914_1915,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).

fof(c_0_1915_1916,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).

fof(c_0_1916_1917,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_3) ).

fof(c_0_1917_1918,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).

fof(c_0_1918_1919,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).

fof(c_0_1919_1920,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).

fof(c_0_1920_1921,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).

fof(c_0_1921_1922,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).

fof(c_0_1922_1923,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).

fof(c_0_1923_1924,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_36) ).

fof(c_0_1924_1925,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_4) ).

fof(c_0_1925_1926,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_5) ).

fof(c_0_1926_1927,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_6) ).

fof(c_0_1927_1928,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_7) ).

fof(c_0_1928_1929,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_8) ).

fof(c_0_1929_1930,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__ring__strict_9) ).

fof(c_0_1930_1931,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_0) ).

fof(c_0_1931_1932,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_1) ).

fof(c_0_1932_1933,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_10) ).

fof(c_0_1933_1934,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_11) ).

fof(c_0_1934_1935,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_12) ).

fof(c_0_1935_1936,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_13) ).

fof(c_0_1936_1937,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_14) ).

fof(c_0_1937_1938,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_15) ).

fof(c_0_1938_1939,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_16) ).

fof(c_0_1939_1940,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_17) ).

fof(c_0_1940_1941,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_18) ).

fof(c_0_1941_1942,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_19) ).

fof(c_0_1942_1943,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_2) ).

fof(c_0_1943_1944,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_20) ).

fof(c_0_1944_1945,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_21) ).

fof(c_0_1945_1946,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_22) ).

fof(c_0_1946_1947,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_23) ).

fof(c_0_1947_1948,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_24) ).

fof(c_0_1948_1949,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_25) ).

fof(c_0_1949_1950,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_26) ).

fof(c_0_1950_1951,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_27) ).

fof(c_0_1951_1952,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_28) ).

fof(c_0_1952_1953,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_29) ).

fof(c_0_1953_1954,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_3) ).

fof(c_0_1954_1955,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_30) ).

fof(c_0_1955_1956,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_31) ).

fof(c_0_1956_1957,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_32) ).

fof(c_0_1957_1958,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_33) ).

fof(c_0_1958_1959,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_34) ).

fof(c_0_1959_1960,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_35) ).

fof(c_0_1960_1961,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_36) ).

fof(c_0_1961_1962,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_37) ).

fof(c_0_1962_1963,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_38) ).

fof(c_0_1963_1964,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_39) ).

fof(c_0_1964_1965,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_4) ).

fof(c_0_1965_1966,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_5) ).

fof(c_0_1966_1967,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_6) ).

fof(c_0_1967_1968,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_7) ).

fof(c_0_1968_1969,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_8) ).

fof(c_0_1969_1970,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semidom_9) ).

fof(c_0_1970_1971,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_0) ).

fof(c_0_1971_1972,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_1) ).

fof(c_0_1972_1973,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).

fof(c_0_1973_1974,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).

fof(c_0_1974_1975,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).

fof(c_0_1975_1976,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).

fof(c_0_1976_1977,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).

fof(c_0_1977_1978,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).

fof(c_0_1978_1979,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).

fof(c_0_1979_1980,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).

fof(c_0_1980_1981,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).

fof(c_0_1981_1982,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_19) ).

fof(c_0_1982_1983,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_2) ).

fof(c_0_1983_1984,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_20) ).

fof(c_0_1984_1985,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_21) ).

fof(c_0_1985_1986,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).

fof(c_0_1986_1987,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).

fof(c_0_1987_1988,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_3) ).

fof(c_0_1988_1989,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_4) ).

fof(c_0_1989_1990,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_5) ).

fof(c_0_1990_1991,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_6) ).

fof(c_0_1991_1992,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_7) ).

fof(c_0_1992_1993,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_8) ).

fof(c_0_1993_1994,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).

fof(c_0_1994_1995,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).

fof(c_0_1995_1996,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) ).

fof(c_0_1996_1997,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).

fof(c_0_1997_1998,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) ).

fof(c_0_1998_1999,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) ).

fof(c_0_1999_2000,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13) ).

fof(c_0_2000_2001,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).

fof(c_0_2001_2002,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).

fof(c_0_2002_2003,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) ).

fof(c_0_2003_2004,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) ).

fof(c_0_2004_2005,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).

fof(c_0_2005_2006,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).

fof(c_0_2006_2007,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) ).

fof(c_0_2007_2008,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) ).

fof(c_0_2008_2009,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) ).

fof(c_0_2009_2010,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) ).

fof(c_0_2010_2011,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) ).

fof(c_0_2011_2012,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) ).

fof(c_0_2012_2013,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7) ).

fof(c_0_2013_2014,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) ).

fof(c_0_2014_2015,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9) ).

fof(c_0_2015_2016,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).

fof(c_0_2016_2017,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_1) ).

fof(c_0_2017_2018,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_10) ).

fof(c_0_2018_2019,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).

fof(c_0_2019_2020,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).

fof(c_0_2020_2021,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_13) ).

fof(c_0_2021_2022,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_14) ).

fof(c_0_2022_2023,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_15) ).

fof(c_0_2023_2024,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_2) ).

fof(c_0_2024_2025,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_3) ).

fof(c_0_2025_2026,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_4) ).

fof(c_0_2026_2027,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_5) ).

fof(c_0_2027_2028,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_6) ).

fof(c_0_2028_2029,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).

fof(c_0_2029_2030,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_8) ).

fof(c_0_2030_2031,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__cancel__semiring_9) ).

fof(c_0_2031_2032,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_0) ).

fof(c_0_2032_2033,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_1) ).

fof(c_0_2033_2034,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_10) ).

fof(c_0_2034_2035,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_11) ).

fof(c_0_2035_2036,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_12) ).

fof(c_0_2036_2037,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_13) ).

fof(c_0_2037_2038,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_14) ).

fof(c_0_2038_2039,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_15) ).

fof(c_0_2039_2040,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_16) ).

fof(c_0_2040_2041,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_17) ).

fof(c_0_2041_2042,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_18) ).

fof(c_0_2042_2043,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_19) ).

fof(c_0_2043_2044,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_2) ).

fof(c_0_2044_2045,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_20) ).

fof(c_0_2045_2046,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_21) ).

fof(c_0_2046_2047,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_22) ).

fof(c_0_2047_2048,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_23) ).

fof(c_0_2048_2049,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_24) ).

fof(c_0_2049_2050,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_3) ).

fof(c_0_2050_2051,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_4) ).

fof(c_0_2051_2052,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_5) ).

fof(c_0_2052_2053,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_6) ).

fof(c_0_2053_2054,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_7) ).

fof(c_0_2054_2055,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_8) ).

fof(c_0_2055_2056,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__ring_9) ).

fof(c_0_2056_2057,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_0) ).

fof(c_0_2057_2058,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_1) ).

fof(c_0_2058_2059,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_10) ).

fof(c_0_2059_2060,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_11) ).

fof(c_0_2060_2061,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).

fof(c_0_2061_2062,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).

fof(c_0_2062_2063,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).

fof(c_0_2063_2064,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).

fof(c_0_2064_2065,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_2) ).

fof(c_0_2065_2066,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_3) ).

fof(c_0_2066_2067,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_4) ).

fof(c_0_2067_2068,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_5) ).

fof(c_0_2068_2069,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_6) ).

fof(c_0_2069_2070,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_7) ).

fof(c_0_2070_2071,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_8) ).

fof(c_0_2071_2072,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__comm__semiring_9) ).

fof(c_0_2072_2073,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_0) ).

fof(c_0_2073_2074,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_1) ).

fof(c_0_2074_2075,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_10) ).

fof(c_0_2075_2076,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_11) ).

fof(c_0_2076_2077,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_12) ).

fof(c_0_2077_2078,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_13) ).

fof(c_0_2078_2079,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_14) ).

fof(c_0_2079_2080,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_15) ).

fof(c_0_2080_2081,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_16) ).

fof(c_0_2081_2082,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_17) ).

fof(c_0_2082_2083,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_18) ).

fof(c_0_2083_2084,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_19) ).

fof(c_0_2084_2085,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_2) ).

fof(c_0_2085_2086,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_20) ).

fof(c_0_2086_2087,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_21) ).

fof(c_0_2087_2088,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_22) ).

fof(c_0_2088_2089,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_3) ).

fof(c_0_2089_2090,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_4) ).

fof(c_0_2090_2091,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_5) ).

fof(c_0_2091_2092,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_6) ).

fof(c_0_2092_2093,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_7) ).

fof(c_0_2093_2094,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_8) ).

fof(c_0_2094_2095,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__ring_9) ).

fof(c_0_2095_2096,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_0) ).

fof(c_0_2096_2097,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_1) ).

fof(c_0_2097_2098,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_10) ).

fof(c_0_2098_2099,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_11) ).

fof(c_0_2099_2100,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_2) ).

fof(c_0_2100_2101,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_3) ).

fof(c_0_2101_2102,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_4) ).

fof(c_0_2102_2103,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_5) ).

fof(c_0_2103_2104,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_6) ).

fof(c_0_2104_2105,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_7) ).

fof(c_0_2105_2106,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_8) ).

fof(c_0_2106_2107,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Opordered__semiring_9) ).

fof(c_0_2107_2108,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_0) ).

fof(c_0_2108_2109,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_1) ).

fof(c_0_2109_2110,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_10) ).

fof(c_0_2110_2111,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_11) ).

fof(c_0_2111_2112,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_12) ).

fof(c_0_2112_2113,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_13) ).

fof(c_0_2113_2114,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_2) ).

fof(c_0_2114_2115,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_3) ).

fof(c_0_2115_2116,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_4) ).

fof(c_0_2116_2117,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_5) ).

fof(c_0_2117_2118,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_6) ).

fof(c_0_2118_2119,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_7) ).

fof(c_0_2119_2120,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_8) ).

fof(c_0_2120_2121,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring_9) ).

fof(c_0_2121_2122,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Oring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_0) ).

fof(c_0_2122_2123,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_1) ).

fof(c_0_2123_2124,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_10) ).

fof(c_0_2124_2125,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_11) ).

fof(c_0_2125_2126,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_12) ).

fof(c_0_2126_2127,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_13) ).

fof(c_0_2127_2128,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_14) ).

fof(c_0_2128_2129,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_15) ).

fof(c_0_2129_2130,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_16) ).

fof(c_0_2130_2131,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_17) ).

fof(c_0_2131_2132,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_18) ).

fof(c_0_2132_2133,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_19) ).

fof(c_0_2133_2134,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Ominus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_2) ).

fof(c_0_2134_2135,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_3) ).

fof(c_0_2135_2136,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_4) ).

fof(c_0_2136_2137,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_5) ).

fof(c_0_2137_2138,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_6) ).

fof(c_0_2138_2139,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_7) ).

fof(c_0_2139_2140,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_8) ).

fof(c_0_2140_2141,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Oring__1_9) ).

fof(c_0_2141_2142,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring_0) ).

fof(c_0_2142_2143,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring_1) ).

fof(c_0_2143_2144,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring_2) ).

fof(c_0_2144_2145,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring_3) ).

fof(c_0_2145_2146,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring_4) ).

fof(c_0_2146_2147,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_0) ).

fof(c_0_2147_2148,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_1) ).

fof(c_0_2148_2149,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_2) ).

fof(c_0_2149_2150,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_3) ).

fof(c_0_2150_2151,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_4) ).

fof(c_0_2151_2152,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_5) ).

fof(c_0_2152_2153,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_6) ).

fof(c_0_2153_2154,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0_7) ).

fof(c_0_2154_2155,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_0) ).

fof(c_0_2155_2156,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_1) ).

fof(c_0_2156_2157,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_10) ).

fof(c_0_2157_2158,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_2) ).

fof(c_0_2158_2159,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_3) ).

fof(c_0_2159_2160,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_4) ).

fof(c_0_2160_2161,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_5) ).

fof(c_0_2161_2162,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_6) ).

fof(c_0_2162_2163,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_7) ).

fof(c_0_2163_2164,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_8) ).

fof(c_0_2164_2165,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__0__cancel_9) ).

fof(c_0_2165_2166,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_0) ).

fof(c_0_2166_2167,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_1) ).

fof(c_0_2167_2168,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_10) ).

fof(c_0_2168_2169,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_11) ).

fof(c_0_2169_2170,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_2) ).

fof(c_0_2170_2171,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_3) ).

fof(c_0_2171_2172,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_4) ).

fof(c_0_2172_2173,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_5) ).

fof(c_0_2173_2174,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_6) ).

fof(c_0_2174_2175,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_7) ).

fof(c_0_2175_2176,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_8) ).

fof(c_0_2176_2177,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1_9) ).

fof(c_0_2177_2178,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_0) ).

fof(c_0_2178_2179,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_1) ).

fof(c_0_2179_2180,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Oone(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_10) ).

fof(c_0_2180_2181,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_11) ).

fof(c_0_2181_2182,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Otimes(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_12) ).

fof(c_0_2182_2183,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_13) ).

fof(c_0_2183_2184,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_14) ).

fof(c_0_2184_2185,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_15) ).

fof(c_0_2185_2186,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_2) ).

fof(c_0_2186_2187,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_3) ).

fof(c_0_2187_2188,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_4) ).

fof(c_0_2188_2189,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Ozero(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_5) ).

fof(c_0_2189_2190,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_6) ).

fof(c_0_2190_2191,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_7) ).

fof(c_0_2191_2192,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Oplus(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_8) ).

fof(c_0_2192_2193,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    file('<stdin>',clsrel_Ring__and__Field_Osemiring__1__cancel_9) ).

fof(c_0_2193_2194,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Oord(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_0) ).

fof(c_0_2194_2195,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Oorder(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_1) ).

fof(c_0_2195_2196,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_2) ).

fof(c_0_2196_2197,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_3) ).

fof(c_0_2197_2198,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Olorder(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_4) ).

fof(c_0_2198_2199,axiom,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Olinorder(X87) ),
    file('<stdin>',clsrel_Wellfounded__Recursion_Owellorder_5) ).

fof(c_0_2199_2200,axiom,
    ! [X53] :
      ( c_IntDef_Oint(X53) != c_0
      | X53 = c_0 ),
    file('<stdin>',cls_IntDef_Oint__eq__0__conv_0) ).

fof(c_0_2200_2201,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X50)
      | c_0 != c_1 ),
    file('<stdin>',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).

fof(c_0_2201_2202,axiom,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X50)
      | c_1 != c_0 ),
    file('<stdin>',cls_Ring__and__Field_Oone__neq__zero_0) ).

fof(c_0_2202_2203,plain,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_Orel__compE__2(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__3(X48,X95,X97,X96,X51,X50),X96,X51),X48,tc_prod(X96,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2203_2204,plain,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_Orel__compE__1(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__2(X48,X95,X97,X96,X51,X50),X50,X96),X95,tc_prod(X50,X96)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_2204_2205,plain,
    ! [X97,X95,X48,X96,X51,X50] :
      ( ~ c_in(X97,c_Relation_Orel__comp(X48,X95,X96,X51,X50),tc_prod(X50,X51))
      | X97 = c_Pair(c_Main_Orel__compE__1(X48,X95,X97,X96,X51,X50),c_Main_Orel__compE__3(X48,X95,X97,X96,X51,X50),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_2205_2206,plain,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X26 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X26,X48,X95,X50,X51),c_Main_OdprodE__2(X26,X48,X95,X50,X51),X50,X51),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X26,X48,X95,X50,X51),c_Main_OdprodE__4(X26,X48,X95,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_2206_2207,plain,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | X7 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X12,X8,X14,X7)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(v_sko__2Va(X12,X8,X14,X7),c_Message_Omsg_ONonce(X14))))),v_sko__2Vb(X12,X8,X14,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_2207_2208,plain,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdprodE__2(X26,X48,X95,X50,X51),c_Main_OdprodE__4(X26,X48,X95,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_2208_2209,plain,
    ! [X95,X48,X26,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdprodE__1(X26,X48,X95,X50,X51),c_Main_OdprodE__3(X26,X48,X95,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_2209_2210,plain,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__1(X48,X60,X50,X51),c_Main_OdsumE__2(X48,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__3(X95,X60,X50,X51),c_Main_OdsumE__4(X95,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_2210_2211,plain,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__3(X95,X60,X50,X51),c_Main_OdsumE__4(X95,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X48,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X48,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_2211_2212,plain,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Main_OdsumE__1(X48,X60,X50,X51),c_Main_OdsumE__2(X48,X60,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X95,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X95,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_2212_2213,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X65,c_Main_Olistrel__Cons1__2(X48,X66,X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_2213_2214,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X48,X66,X25,X65,X50),X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_2214_2215,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X12 = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_2215_2216,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X10 = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_2216_2217,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X4 = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_2217_2218,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X3,X1)))),X6)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_2218_2219,plain,
    ! [X95,X48,X83,X30,X84,X85,X51,X50] :
      ( ~ c_in(c_Pair(X30,X83,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | ~ c_in(c_Pair(X85,X84,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OScons(X85,X30,X50,X51),c_Datatype__Universe_OScons(X84,X83,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odprod(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_2219_2220,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X25,c_Main_Olistrel__Cons1__1(X48,X66,X25,X65,X50),X50,X50),X48,tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_2220_2221,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X48,X66,X25,X65,X50),X25,X50,X50),X48,tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_2221_2222,plain,
    ! [X60,X95,X48,X51,X50] :
      ( ~ c_in(X60,c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | X60 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X48,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X48,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X60 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X95,X60,X50,X51),X50,X51),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X95,X60,X50,X51),X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_2222_2223,plain,
    ! [X48,X27,X12,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,X12,X51,X50),X50)
      | c_in(c_Pair(c_Main_OImageE__1(X12,X27,X48,X51,X50),X27,X51,X50),X48,tc_prod(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_2223_2224,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X25,X65,X50),X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X48,X66,X25,X65,X50),c_Main_Olistrel__Cons1__2(X48,X66,X25,X65,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_2224_2225,plain,
    ! [X65,X25,X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X48,X66,X25,X65,X50),c_Main_Olistrel__Cons2__2(X48,X66,X25,X65,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_2225_2226,plain,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X26 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X10,X26,X50,X51),c_Main_OuprodE__2(X12,X10,X26,X50,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_2226_2227,plain,
    ! [X2,X4,X5,X8,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OKey(X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OKey(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X10,c_Event_Obad,tc_Message_Oagent)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X8)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_2227_2228,plain,
    ! [X4,X5,X7,X13,X14,X15,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X15),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X13))))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X15),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X14 = X13
      | X15 = c_Public_OshrK(v_sko__2VY(X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_2228_2229,plain,
    ! [X95,X48,X26,X27,X49,X96,X51,X50] :
      ( ~ c_in(c_Pair(X27,X26,X51,X96),X48,tc_prod(X51,X96))
      | ~ c_in(c_Pair(X49,X27,X50,X51),X95,tc_prod(X50,X51))
      | c_in(c_Pair(X49,X26,X50,X96),c_Relation_Orel__comp(X48,X95,X51,X96,X50),tc_prod(X50,X96)) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_2229_2230,plain,
    ! [X4,X5,X7,X13,X14,X15,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X15),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X13))))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X15),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg)),tc_Message_Omsg)
      | X14 = X13
      | X15 = c_Public_OshrK(v_sko__2VY(X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_2230_2231,plain,
    ! [X25,X23,X61,X56] :
      ( ~ c_in(c_Pair(c_Pair(X23,X25,tc_nat,tc_nat),c_Pair(X56,X61,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_plus(X23,X61,tc_nat) = c_plus(X56,X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_2231_2232,plain,
    ! [X2,X4,X21,X5,X7,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(X4,X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_2232_2233,plain,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X18 = X19 ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_2233_2234,plain,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X11 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_2234_2235,plain,
    ! [X2,X5,X6,X7,X16,X17,X18,X19,X20,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X20,X17,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X19),X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | X9 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_2235_2236,plain,
    ! [X23,X2,X4,X5,X7,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X23)),c_Message_Omsg_OMPair(X4,X2)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_2236_2237,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_2237_2238,plain,
    ! [X2,X4,X5,X8,X10,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X8),c_Message_Omsg_OMPair(X4,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OKey(X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_2238_2239,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_2239_2240,plain,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_2240_2241,plain,
    ! [X95,X48,X84,X85,X51,X50] :
      ( ~ c_in(c_Pair(X85,X84,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X48,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OIn0(X85,X50,X51),c_Datatype__Universe_OIn0(X84,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_2241_2242,plain,
    ! [X95,X48,X83,X30,X51,X50] :
      ( ~ c_in(c_Pair(X30,X83,tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),X95,tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))))
      | c_in(c_Pair(c_Datatype__Universe_OIn1(X30,X50,X51),c_Datatype__Universe_OIn1(X83,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51))),c_Datatype__Universe_Odsum(X48,X95,X50,X51),tc_prod(tc_set(tc_Datatype__Universe_Onode(X50,X51)),tc_set(tc_Datatype__Universe_Onode(X50,X51)))) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_2242_2243,plain,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_2243_2244,plain,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OuprodE__2(X12,X10,X26,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_2244_2245,plain,
    ! [X26,X10,X12,X51,X50] :
      ( ~ c_in(X26,c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OuprodE__1(X12,X10,X26,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_2245_2246,plain,
    ! [X60,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_2246_2247,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_2247_2248,plain,
    ! [X60,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_2248_2249,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_2249_2250,plain,
    ! [X48,X27,X12,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,X12,X51,X50),X50)
      | c_in(c_Main_OImageE__1(X12,X27,X48,X51,X50),X12,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_2250_2251,plain,
    ! [X60] :
      ( ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_2251_2252,plain,
    ! [X60] :
      ( ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_2252_2253,plain,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_2253_2254,plain,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X23,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_2254_2255,axiom,
    ! [X25,X23,X61,X56] :
      ( c_plus(X23,X61,tc_nat) != c_plus(X56,X25,tc_nat)
      | c_in(c_Pair(c_Pair(X23,X25,tc_nat,tc_nat),c_Pair(X56,X61,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    c_0_52 ).

fof(c_0_2255_2256,plain,
    ! [X98,X48,X51,X50] :
      ( ~ c_in(X98,c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(c_Main_OconverseE__1(X48,X98,X51,X50),c_Main_OconverseE__2(X48,X98,X51,X50),X51,X50),X48,tc_prod(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_2256_2257,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | ~ c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_2257_2258,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | ~ c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_2258_2259,plain,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) = c_Nat_Osize(X65,tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_2259_2260,plain,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_2260_2261,plain,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_2261_2262,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__1(X12,X56,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__2(X10,X56,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_2262_2263,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__2(X10,X56,X50,X51),X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X56,X50,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_2263_2264,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Main_OusumE__1(X12,X56,X50,X51),X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X10,X56,X50,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_2264_2265,plain,
    ! [X65,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(X66,X65,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X23,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_2265_2266,plain,
    ! [X25,X75,X23,X48,X50] :
      ( ~ c_in(c_Pair(X75,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X75,X50),c_List_Olist_OCons(X23,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_2266_2267,axiom,
    ! [X25,X23] :
      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X23,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X25,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
      | c_in(c_Pair(X23,X25,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    c_0_64 ).

fof(c_0_2267_2268,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | X56 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X56,X50,X51),X50,X51)
      | X56 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X10,X56,X50,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_2268_2269,plain,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(X23,X25,X50,X50),X48,tc_prod(X50,X50))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_2269_2270,plain,
    ! [X25,X23] :
      ( ~ c_in(c_Pair(X23,X25,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X23,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X25,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_2270_2271,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | X56 = c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X56,X50,X51),X50,X51)
      | X56 = c_Sum__Type_OInr(c_Main_OPlusE__2(X10,X56,X51,X50),X51,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_2271_2272,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__2(X10,X56,X51,X50),X10,X51)
      | X56 = c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X56,X50,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_2272_2273,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__1(X12,X56,X50,X51),X12,X50)
      | X56 = c_Sum__Type_OInr(c_Main_OPlusE__2(X10,X56,X51,X50),X51,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_2273_2274,plain,
    ! [X56,X10,X12,X51,X50] :
      ( ~ c_in(X56,c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51))
      | c_in(c_Main_OPlusE__1(X12,X56,X50,X51),X12,X50)
      | c_in(c_Main_OPlusE__2(X10,X56,X51,X50),X10,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_2274_2275,plain,
    ! [X25,X23,X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(c_List_Olist_OCons(X49,X23,X50),c_List_Olist_OCons(X27,X25,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_2275_2276,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_Wellfounded__Recursion_Oacyclic(X48,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_2276_2277,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_Wellfounded__Recursion_Owf(X48,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_2277_2278,plain,
    ! [X48,X49,X51,X50] :
      ( ~ c_in(X49,c_Relation_ODomain(X48,X50,X51),X50)
      | c_in(c_Pair(X49,c_Main_ODomainE__1(X49,X48,X50,X51),X50,X51),X48,tc_prod(X50,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_2278_2279,plain,
    ! [X48,X27,X51,X50] :
      ( ~ c_in(X27,c_Relation_ORange(X48,X51,X50),X50)
      | c_in(c_Pair(c_Main_ORangeE__1(X27,X48,X50,X51),X27,X51,X50),X48,tc_prod(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_2279_2280,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X48,X50)
      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_2280_2281,plain,
    ! [X25,X23,X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X25,X23,X50,X50),X48,tc_prod(X50,X50)),X50)
      | c_in(c_Pair(X23,X25,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_2281_2282,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(X27,c_Relation_OImage(X48,c_insert(X49,c_emptyset,X51),X51,X50),X50)
      | c_in(c_Pair(X49,X27,X51,X50),X48,tc_prod(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_2282_2283,plain,
    ! [X65,X25,X66,X23,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X66,X50),c_List_Olist_OCons(X25,X65,X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olex(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X23 = X25
      | c_Nat_Osize(X66,tc_List_Olist(X50)) = c_Nat_Osize(X65,tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_2283_2284,plain,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X21,X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_2284_2285,plain,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X21,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_2285_2286,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X51,X50),X48,tc_prod(X51,X50))
      | c_in(X27,c_Relation_OImage(X48,c_insert(X49,c_emptyset,X51),X51,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_2286_2287,axiom,
    ! [X65,X66,X67,X68,X51,X50] :
      ( c_Nat_Osize(X65,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X51))
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X68,tc_List_Olist(X51))
      | c_List_Ozip(c_append(X66,X65,X50),c_append(X68,X67,X51),X50,X51) = c_append(c_List_Ozip(X66,X68,X50,X51),c_List_Ozip(X65,X67,X50,X51),tc_prod(X50,X51)) ),
    c_0_84 ).

fof(c_0_2287_2288,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | c_in(c_Pair(X27,X49,X51,X50),X48,tc_prod(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_2288_2289,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X27,X49,X51,X50),X48,tc_prod(X51,X50))
      | c_in(c_Pair(X49,X27,X50,X51),c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_2289_2290,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_2290_2291,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_2291_2292,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_2292_2293,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_2293_2294,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_2294_2295,plain,
    ! [X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Otrancl(X48,X50),tc_prod(X50,X50))
      | c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_2295_2296,plain,
    ! [X48,X27,X49,X12,X51,X50] :
      ( ~ c_in(X49,X12,X50)
      | ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X27,c_Relation_OImage(X48,X12,X50,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_2296_2297,plain,
    ! [X98,X48,X51,X50] :
      ( ~ c_in(X98,c_Relation_Oconverse(X48,X51,X50),tc_prod(X50,X51))
      | X98 = c_Pair(c_Main_OconverseE__2(X48,X98,X51,X50),c_Main_OconverseE__1(X48,X98,X51,X50),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_2297_2298,plain,
    ! [X48,X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),X48,tc_prod(X50,X50))
      | c_in(c_Pair(X49,X27,X50,X50),c_Transitive__Closure_Otrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_2298_2299,plain,
    ! [X30,X85,X10,X12,X51,X50] :
      ( ~ c_in(X30,X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | ~ c_in(X85,X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OScons(X85,X30,X50,X51),c_Datatype__Universe_Ouprod(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_2299_2300,plain,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_2300_2301,plain,
    ! [X1,X4,X5,X14,X9,X10,X11,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X14)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X14),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_2301_2302,plain,
    ! [X65,X66,X23,X51,X50] :
      ( ~ c_in(X23,c_List_Oset(X66,X50),X50)
      | c_Map_Omap__of(c_List_Ozip(X66,X65,X50,X51),X23,X50,X51) != c_Datatype_Ooption_ONone
      | c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_2302_2303,plain,
    ! [X65,X66,X52,X51,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X65,tc_List_Olist(X51)),tc_nat)
      | ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Ozip(X66,X65,X50,X51),X52,tc_prod(X50,X51)) = c_Pair(c_List_Onth(X66,X52,X50),c_List_Onth(X65,X52,X51),X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_2303_2304,plain,
    ! [X60] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_2304_2305,plain,
    ! [X60] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_2305_2306,plain,
    ! [X53,X54,X21] :
      ( ~ c_Divides_Oop_Advd(X21,X53,tc_nat)
      | ~ c_Divides_Oop_Advd(X21,X54,tc_nat)
      | c_Divides_Oop_Advd(X21,c_GCD_Ogcd(c_Pair(X54,X53,tc_nat,tc_nat)),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_2306_2307,plain,
    ! [X25,X66,X23,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Olist__update(c_List_Olist__update(X66,X52,X23,X50),X52,X25,X50) = c_List_Olist__update(X66,X52,X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_2307_2308,plain,
    ! [X25,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olexord(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X25 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X25,X50),c_Main_Olexord__Nil__left__2(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_2308_2309,plain,
    ! [X60,X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X60,tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_2309_2310,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X49,c_Relation_ODomain(X48,X50,X51),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_2310_2311,plain,
    ! [X48,X27,X49,X51,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X51),X48,tc_prod(X50,X51))
      | c_in(X27,c_Relation_ORange(X48,X50,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_2311_2312,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_2312_2313,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_2313_2314,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_2314_2315,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_2315_2316,plain,
    ! [X66,X48,X50] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X66,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_2316_2317,plain,
    ! [X66,X48,X50] :
      ( ~ c_in(c_Pair(X66,c_List_Olist_ONil,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olistrel(X48,X50),tc_prod(tc_List_Olist(X50),tc_List_Olist(X50)))
      | X66 = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_2317_2318,plain,
    ! [X60] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_2318_2319,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_0,X49,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_2319_2320,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,X49,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_2320_2321,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_2321_2322,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_2322_2323,plain,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Nat_Opower(c_uminus(X49,X50),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X53,tc_nat),X50) = c_Nat_Opower(X49,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X53,tc_nat),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_2323_2324,plain,
    ! [X25,X23] :
      ( ~ c_in(c_Pair(X23,X25,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
      | c_less(X23,X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_2324_2325,plain,
    ! [X48,X49,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | ~ c_in(c_Pair(X49,X49,X50,X50),X48,tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_2325_2326,plain,
    ! [X54] :
      ( ~ c_less(c_0,c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
      | c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_2326_2327,plain,
    ! [X27,X49,X50] :
      ( ~ c_in(c_Pair(X49,X27,X50,X50),c_Relation_OId,tc_prod(X50,X50))
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_2327_2328,plain,
    ! [X85,X10,X12,X51,X50] :
      ( ~ c_in(X85,X12,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OIn0(X85,X50,X51),c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_2328_2329,plain,
    ! [X30,X10,X12,X51,X50] :
      ( ~ c_in(X30,X10,tc_set(tc_Datatype__Universe_Onode(X50,X51)))
      | c_in(c_Datatype__Universe_OIn1(X30,X50,X51),c_Datatype__Universe_Ousum(X12,X10,X50,X51),tc_set(tc_Datatype__Universe_Onode(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_2329_2330,axiom,
    ! [X65,X66,X23,X51,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X51))
      | c_in(X23,c_List_Oset(X66,X50),X50)
      | c_Map_Omap__of(c_List_Ozip(X66,X65,X50,X51),X23,X50,X51) = c_Datatype_Ooption_ONone ),
    c_0_127 ).

fof(c_0_2330_2331,plain,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(c_minus(X12,c_insert(X49,X10,X50),tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X12,X10,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_2331_2332,axiom,
    ! [X83,X30,X84,X85,X51,X50] :
      ( c_Datatype__Universe_OScons(X85,X30,X50,X51) != c_Datatype__Universe_OScons(X84,X83,X50,X51)
      | X85 = X84 ),
    c_0_129 ).

fof(c_0_2332_2333,axiom,
    ! [X83,X30,X84,X85,X51,X50] :
      ( c_Datatype__Universe_OScons(X85,X30,X50,X51) != c_Datatype__Universe_OScons(X84,X83,X50,X51)
      | X30 = X83 ),
    c_0_130 ).

fof(c_0_2333_2334,axiom,
    ! [X58,X27,X59,X49,X51,X50] :
      ( c_Pair(X49,X27,X50,X51) != c_Pair(X59,X58,X50,X51)
      | X49 = X59 ),
    c_0_131 ).

fof(c_0_2334_2335,axiom,
    ! [X58,X27,X59,X49,X51,X50] :
      ( c_Pair(X49,X27,X50,X51) != c_Pair(X59,X58,X50,X51)
      | X27 = X58 ),
    c_0_132 ).

fof(c_0_2335_2336,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(X49,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_2336_2337,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(X27,X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_2337_2338,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(X49,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_2338_2339,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(X27,X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_2339_2340,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(X49,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_2340_2341,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_less(X27,X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_2341_2342,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(X49,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_2342_2343,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_less(X27,X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_2343_2344,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_2344_2345,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_2345_2346,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_2346_2347,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_2347_2348,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_2348_2349,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_2349_2350,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_2350_2351,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_2351_2352,axiom,
    ! [X54] :
      ( c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
      | c_less(c_0,c_Divides_Oop_Amod(X54,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    c_0_149 ).

fof(c_0_2352_2353,plain,
    ! [X49,X10,X12,X51,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(c_Sum__Type_OInl(X49,X50,X51),c_Sum__Type_OPlus(X12,X10,X50,X51),tc_sum(X50,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_2353_2354,plain,
    ! [X27,X10,X12,X51,X50] :
      ( ~ c_in(X27,X10,X50)
      | c_in(c_Sum__Type_OInr(X27,X50,X51),c_Sum__Type_OPlus(X12,X10,X51,X50),tc_sum(X51,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_2354_2355,plain,
    ! [X24,X7,X22] :
      ( ~ c_in(X24,c_Message_Oparts(c_insert(X7,X22,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X24,c_union(c_Message_Osynth(c_Message_Oanalz(X22)),c_Message_Oparts(X22),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_2355_2356,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X49,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_2356_2357,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_lessequals(c_0,X49,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_2357_2358,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X49,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_2358_2359,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,X49,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_2359_2360,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_2360_2361,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_2361_2362,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_2362_2363,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_2363_2364,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_2364_2365,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_2365_2366,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_2366_2367,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_2367_2368,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_2368_2369,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_lessequals(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_2369_2370,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_2370_2371,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | ~ c_less(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),X27,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_2371_2372,plain,
    ! [X25,X66,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Olist__update(X66,X52,X25,X50),X52,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_2372_2373,plain,
    ! [X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(c_Pair(X49,X49,X50,X50),c_Relation_Odiag(X12,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_2373_2374,plain,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(c_minus(X12,X10,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X12,c_insert(X49,X10,X50),tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_2374_2375,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Otake(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_OCons(X23,c_List_Otake(c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X66,X50),X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    c_0_172 ).

fof(c_0_2375_2376,plain,
    ! [X5,X7,X10] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(v_sko__wPE(X10,X7,X5),X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_2376_2377,plain,
    ! [X25,X23] :
      ( ~ c_less(X23,X25,tc_nat)
      | c_in(c_Pair(X23,X25,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_2377_2378,plain,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Message_Oagent_OServer = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_2378_2379,axiom,
    ! [X23] :
      ( c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    c_0_176 ).

fof(c_0_2379_2380,plain,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,c_Relation_Odiag(X12,X50),tc_prod(X50,X50))
      | X26 = c_Pair(c_Main_OdiagE__1(X12,X26,X50),c_Main_OdiagE__1(X12,X26,X50),X50,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_2380_2381,plain,
    ! [X66,X53,X52,X50] :
      ( ~ c_lessequals(c_plus(X53,X52,tc_nat),c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Onth(c_List_Odrop(X53,X66,X50),X52,X50) = c_List_Onth(X66,c_plus(X53,X52,tc_nat),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_2381_2382,axiom,
    ! [X66,X23,X55,X52,X50] :
      ( X52 = X55
      | c_List_Onth(c_List_Olist__update(X66,X52,X23,X50),X55,X50) = c_List_Onth(X66,X55,X50) ),
    c_0_179 ).

fof(c_0_2382_2383,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_plus(X54,c_times(X21,X53,tc_nat),tc_nat),X53,tc_nat) = c_plus(X21,c_div(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_2383_2384,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_plus(X54,c_times(X53,X21,tc_nat),tc_nat),X53,tc_nat) = c_plus(X21,c_div(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_2384_2385,plain,
    ! [X92,X93,X51,X50] :
      ( ~ c_Relation_Otrans(X92,X51)
      | ~ c_Relation_Otrans(X93,X50)
      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X93,X92,X50,X51),tc_prod(X50,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_2385_2386,plain,
    ! [X90,X91,X51,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X90,X51)
      | ~ c_Wellfounded__Recursion_Owf(X91,X50)
      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X91,X90,X50,X51),tc_prod(X50,X51)) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_2386_2387,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(c_insert(X7,X22,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_2387_2388,plain,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_lessequals(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50)
      | c_lessequals(X23,X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_2388_2389,plain,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_less(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50)
      | c_less(X23,X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_2389_2390,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oring(X51)
      | c_times(c_minus(X49,X27,X51),c_Numeral_Onumber__of(X61,X51),X51) = c_minus(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_2390_2391,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Osemiring(X51)
      | c_times(c_plus(X49,X27,X51),c_Numeral_Onumber__of(X61,X51),X51) = c_plus(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_2391_2392,plain,
    ! [X61,X26,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oring(X51)
      | c_times(c_Numeral_Onumber__of(X61,X51),c_minus(X27,X26,X51),X51) = c_minus(c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),c_times(c_Numeral_Onumber__of(X61,X51),X26,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_2392_2393,plain,
    ! [X61,X26,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Osemiring(X51)
      | c_times(c_Numeral_Onumber__of(X61,X51),c_plus(X27,X26,X51),X51) = c_plus(c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),c_times(c_Numeral_Onumber__of(X61,X51),X26,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_2393_2394,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_2394_2395,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_0,X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_2395_2396,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51)
      | c_less(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_2396_2397,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_2397_2398,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(X49,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_2398_2399,plain,
    ! [X48,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X48,X50)
      | c_less(c_0,c_divide(X48,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X50),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_2399_2400,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_2400_2401,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_2401_2402,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_2402_2403,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_2403_2404,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_2404_2405,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_2405_2406,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X27,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_2406_2407,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_lessequals(X49,X27,X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_2407_2408,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_2408_2409,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_2409_2410,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X27,X49,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_2410_2411,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | ~ c_less(X49,X27,X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_2411_2412,plain,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50))
      | c_lessequals(X54,X52,X50)
      | c_lessequals(X55,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_2412_2413,plain,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50))
      | c_lessequals(X55,X53,X50)
      | c_lessequals(X55,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_2413_2414,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_2414_2415,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_0,X51)
      | c_lessequals(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_2415_2416,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_times(c_Numeral_Onumber__of(X61,X51),X49,X51),c_times(c_Numeral_Onumber__of(X61,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_2416_2417,plain,
    ! [X61,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X51)
      | c_less(c_times(X49,c_Numeral_Onumber__of(X61,X51),X51),c_times(X27,c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_2417_2418,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X21,tc_nat)
      | ~ c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_2418_2419,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_0,X21,tc_nat)
      | ~ c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_2419_2420,plain,
    ! [X25,X66,X23,X50] :
      ( ~ c_in(X23,c_List_Oset(c_List_Oremove1(X25,X66,X50),X50),X50)
      | c_in(X23,c_List_Oset(X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_2420_2421,plain,
    ! [X66,X23,X70,X50] :
      ( ~ c_in(X23,c_List_Oset(c_List_Osublist(X66,X70,X50),X50),X50)
      | c_in(X23,c_List_Oset(X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_2421_2422,plain,
    ! [X26,X22,X29] :
      ( ~ c_in(X26,c_Message_Oparts(c_union(X29,X22,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X26,c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X26,c_Message_Oparts(X29),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_2422_2423,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_2423_2424,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_2424_2425,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_2425_2426,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_2426_2427,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_2427_2428,plain,
    ! [X54,X21,X55] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(X54,c_Suc(c_minus(X55,X21,tc_nat)),tc_nat) = c_minus(c_plus(X54,X21,tc_nat),c_Suc(X55),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_2428_2429,plain,
    ! [X54,X21,X55] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(c_Suc(c_minus(X55,X21,tc_nat)),X54,tc_nat) = c_minus(c_Suc(X55),c_plus(X21,X54,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_2429_2430,axiom,
    ! [X65,X25,X66,X23,X50] :
      ( c_append(X66,c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X50) != c_append(X65,c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50)
      | X66 = X65 ),
    c_0_227 ).

fof(c_0_2430_2431,axiom,
    ! [X65,X25,X66,X23,X50] :
      ( c_append(X66,c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X50) != c_append(X65,c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50)
      | X23 = X25 ),
    c_0_228 ).

fof(c_0_2431_2432,plain,
    ! [X25,X52,X50] :
      ( ~ c_less(X52,c_Nat_Osize(X25,tc_List_Olist(X50)),tc_nat)
      | c_List_Olist__update(X25,X52,c_List_Onth(X25,X52,X50),X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_2432_2433,axiom,
    ! [X60,X61,X27] :
      ( c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | X27 = c_Numeral_Obit_OB0
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X61,X27),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_230 ).

fof(c_0_2433_2434,plain,
    ! [X5,X8] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5))),tc_nat)
      | ~ c_in(X8,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(X8),c_Event_Oused(X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_2434_2435,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(c_0,X27,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_2435_2436,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_2436_2437,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(c_0,X27,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_2437_2438,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(X27,c_0,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_2438_2439,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_2439_2440,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(c_0,X27,X51)
      | c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_2440_2441,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_2441_2442,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(c_0,X27,X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_2442_2443,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_2443_2444,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_2444_2445,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_2445_2446,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_2446_2447,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_2447_2448,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X49,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_2448_2449,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X49,c_0,X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_2449_2450,plain,
    ! [X60,X27,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X49,c_0,X51)
      | c_less(X49,c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),X51)
      | c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_2450_2451,plain,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(X65,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | ~ c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_2451_2452,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_2452_2453,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_2453_2454,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_2454_2455,plain,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat)
      | c_lessequals(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_2455_2456,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_2456_2457,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat)
      | c_less(c_0,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_2457_2458,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat)
      | c_less(c_0,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_2458_2459,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_2459_2460,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_2460_2461,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_lessequals(X27,c_0,X51)
      | c_lessequals(c_0,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_2461_2462,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51)
      | c_less(X27,c_0,X51)
      | c_less(c_0,X27,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_2462_2463,plain,
    ! [X5,X7,X17,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OSays(X17,X12,X7),X5,tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_2463_2464,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_2464_2465,plain,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X55,X53,X50)
      | ~ c_lessequals(X54,X52,X50)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_2465_2466,plain,
    ! [X48,X51,X50] :
      ( ~ c_in(c_Relation_Oconverse(X48,X51,X50),c_Finite__Set_OFinites,tc_set(tc_prod(X50,X51)))
      | c_in(X48,c_Finite__Set_OFinites,tc_set(tc_prod(X51,X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_2466_2467,plain,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X27,X50)
      | ~ c_lessequals(X23,X25,tc_nat)
      | c_lessequals(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_2467_2468,plain,
    ! [X25,X23,X27,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(X23,X25,tc_nat)
      | ~ c_less(c_1,X27,X50)
      | c_less(c_Nat_Opower(X27,X23,X50),c_Nat_Opower(X27,X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_2468_2469,plain,
    ! [X71,X72,X49,X64] :
      ( ~ c_in(X49,c_List_Oset(X71,X64),X64)
      | c_List_Olist__inter(c_List_Olist_OCons(X49,X72,X64),X71,X64) = c_List_Olist_OCons(X49,c_List_Olist__inter(X72,X71,X64),X64) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_2469_2470,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_2470_2471,plain,
    ! [X53,X54,X52] :
      ( ~ c_lessequals(c_plus(X52,X54,tc_nat),X53,tc_nat)
      | c_List_Otake(X54,c_List_Oupt(X52,X53),tc_nat) = c_List_Oupt(X52,c_plus(X52,X54,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_2471_2472,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_0,X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_2472_2473,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X27,X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_2473_2474,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_0,X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_2474_2475,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X27,X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),c_0,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_2475_2476,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(c_0,X27,X51)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_2476_2477,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_lessequals(X27,c_0,X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_2477_2478,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(c_0,X27,X51)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,X51),X51)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_2478_2479,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | ~ c_less(X27,c_0,X51)
      | ~ c_less(c_Numeral_Onumber__of(X60,X51),c_0,X51)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X60,X51),X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_2479_2480,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,X23,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_2480_2481,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(c_Main_OMax__le__iff__1(X12,X23,X50),X23,X50)
      | c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_2481_2482,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(c_Main_OMax__less__iff__1(X12,X23,X50),X23,X50)
      | c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_2482_2483,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(X23,c_Main_OMin__ge__iff__1(X12,X23,X50),X50)
      | c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_2483_2484,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(X23,c_Main_OMin__gr__iff__1(X12,X23,X50),X50)
      | c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_2484_2485,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(X23,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_2485_2486,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_2486_2487,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | ~ c_less(c_0,X21,tc_nat)
      | c_less(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_2487_2488,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | ~ c_less(c_0,X21,tc_nat)
      | c_less(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_2488_2489,plain,
    ! [X94,X50] :
      ( ~ c_in(X94,c_Relation_OId,tc_prod(X50,X50))
      | X94 = c_Pair(c_Main_OIdE__1(X94,X50),c_Main_OIdE__1(X94,X50),X50,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_2489_2490,plain,
    ! [X53,X54,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X52,X53,X50)
      | c_minus(c_SetInterval_OatLeastLessThan(X52,X54,X50),c_SetInterval_OatLeastLessThan(X52,X53,X50),tc_set(X50)) = c_SetInterval_OatLeastLessThan(X53,X54,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_2490_2491,plain,
    ! [X57,X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | ~ c_in(X57,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_List_Olist_OCons(X49,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_2491_2492,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_1,X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_2492_2493,plain,
    ! [X60,X61,X27] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X61,X27),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_2493_2494,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_divide(X27,X49,X50),c_1,X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_2494_2495,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_divide(X27,X49,X50),c_1,X50)
      | c_lessequals(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_2495_2496,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_divide(X27,X49,X50),c_1,X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_2496_2497,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_divide(X27,X49,X50),c_1,X50)
      | c_less(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_2497_2498,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_1,c_divide(X27,X49,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_2498_2499,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_1,c_divide(X27,X49,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_2499_2500,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_1,c_divide(X27,X49,X50),X50)
      | c_less(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_2500_2501,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_1,c_divide(X27,X49,X50),X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_2501_2502,plain,
    ! [X60,X61,X26,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_minus(X26,c_Numeral_Onumber__of(X60,X50),X50),X50) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X60)),X50),X26,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_2502_2503,axiom,
    ! [X23] :
      ( c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
      | c_Divides_Oop_Amod(X23,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    c_0_300 ).

fof(c_0_2503_2504,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_2504_2505,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_2505_2506,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Odrop(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X66,X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    c_0_303 ).

fof(c_0_2506_2507,axiom,
    ! [X66,X23,X61,X50] :
      ( c_List_Onth(c_List_Olist_OCons(X23,X66,X50),c_Numeral_Onumber__of(X61,tc_nat),X50) = c_List_Onth(X66,c_minus(c_Numeral_Onumber__of(X61,tc_nat),c_1,tc_nat),X50)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    c_0_304 ).

fof(c_0_2507_2508,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | c_less(c_0,c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_2508_2509,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_2509_2510,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_lessequals(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_2510_2511,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_less(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_2511_2512,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50)
      | c_less(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_2512_2513,plain,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_plus(c_minus(X55,X21,tc_nat),X52,tc_nat) = c_minus(c_plus(X55,X52,tc_nat),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_2513_2514,plain,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_plus(X52,c_minus(X55,X21,tc_nat),tc_nat) = c_minus(c_plus(X52,X55,tc_nat),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_2514_2515,plain,
    ! [X21,X55,X52] :
      ( ~ c_lessequals(X21,X55,tc_nat)
      | c_minus(X52,c_minus(X55,X21,tc_nat),tc_nat) = c_minus(c_plus(X52,X21,tc_nat),X55,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_2515_2516,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | X23 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_2516_2517,plain,
    ! [X26,X27,X49] :
      ( ~ c_less(c_0,X26,tc_nat)
      | c_div(c_times(X26,X49,tc_nat),c_times(X26,X27,tc_nat),tc_nat) = c_div(X49,X27,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_2517_2518,plain,
    ! [X26,X27,X49] :
      ( ~ c_less(c_0,X26,tc_nat)
      | c_div(c_times(X49,X26,tc_nat),c_times(X27,X26,tc_nat),tc_nat) = c_div(X49,X27,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_2518_2519,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | ~ c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_2519_2520,plain,
    ! [X48,X51,X50] :
      ( ~ c_in(X48,c_Finite__Set_OFinites,tc_set(tc_prod(X51,X50)))
      | c_in(c_Relation_Oconverse(X48,X51,X50),c_Finite__Set_OFinites,tc_set(tc_prod(X50,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_2520_2521,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_lessequals(X23,c_0,X50)
      | X23 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_2521_2522,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_2522_2523,plain,
    ! [X5,X7,X10,X12] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_2523_2524,plain,
    ! [X25,X23,X52,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),X52,tc_nat)
      | c_List_Olist__update(X25,X52,X23,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_2524_2525,plain,
    ! [X23,X57,X12,X50] :
      ( ~ c_in(c_List_Olist_OCons(X23,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X57,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_2525_2526,plain,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_2526_2527,plain,
    ! [X65,X66,X12,X50] :
      ( ~ c_in(c_append(X66,X65,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X65,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_2527_2528,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_less(X23,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_2528_2529,axiom,
    ! [X61] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_326 ).

fof(c_0_2529_2530,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_2530_2531,plain,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OGets(X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_2531_2532,plain,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X8,X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_2532_2533,plain,
    ! [X23,X60] :
      ( ~ c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat)
      | c_less(c_0,X23,tc_nat)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_2533_2534,plain,
    ! [X21,X55,X52] :
      ( ~ c_less(c_plus(X52,X21,tc_nat),X55,tc_nat)
      | c_List_Onth(c_List_Oupt(X52,X55),X21,tc_nat) = c_plus(X52,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_2534_2535,plain,
    ! [X62,X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_plus(c_Numeral_Onumber__of(X60,X50),X62,X50),X50) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X60),X50),X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_2535_2536,plain,
    ! [X62,X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(X61,X50),c_times(c_Numeral_Onumber__of(X60,X50),X62,X50),X50) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X60),X50),X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_2536_2537,plain,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | c_lessequals(X32,X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_2537_2538,plain,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | c_less(X32,X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_2538_2539,plain,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | c_lessequals(X23,X32,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_2539_2540,plain,
    ! [X23,X32,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X32,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | c_less(X23,X32,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_2540_2541,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    c_0_338 ).

fof(c_0_2541_2542,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50)
      | c_lessequals(c_1,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_2542_2543,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_2543_2544,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_2544_2545,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(c_0,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_2545_2546,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(X27,c_0,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_2546_2547,plain,
    ! [X53,X54,X55,X52,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X55,X52,X50)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X52,X55,X50),c_SetInterval_OatLeastLessThan(X54,X53,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_2547_2548,plain,
    ! [X23,X12,X50] :
      ( ~ c_lessequals(X12,c_insert(X23,c_emptyset,X50),tc_set(X50))
      | c_insert(X23,c_emptyset,X50) = c_insert(X23,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_2548_2549,plain,
    ! [X23,X12,X50] :
      ( ~ c_lessequals(X12,c_insert(X23,c_emptyset,X50),tc_set(X50))
      | c_insert(X23,X12,X50) = c_insert(X23,c_emptyset,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_2549_2550,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_2550_2551,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_union(X12,X10,X50),X50)
      | c_in(X26,X10,X50)
      | c_in(X26,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_2551_2552,plain,
    ! [X5,X7,X10,X12] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_2552_2553,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_2553_2554,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_2554_2555,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_plus(X26,X49,X50),c_plus(X26,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_2555_2556,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_plus(X49,X26,X50),c_plus(X27,X26,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_2556_2557,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | ~ c_in(X26,c_minus(X12,X10,tc_set(X50)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_2557_2558,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,X10,tc_set(X50))
      | ~ c_lessequals(X20,X12,tc_set(X50))
      | c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_2558_2559,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X10,X20,tc_set(X50))
      | ~ c_lessequals(X12,X20,tc_set(X50))
      | c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_2559_2560,plain,
    ! [X23,X57,X12,X50] :
      ( ~ c_in(c_List_Olist_OCons(X23,X57,X50),c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(X23,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_2560_2561,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_2561_2562,plain,
    ! [X5,X7,X10] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X10,X7),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_2562_2563,plain,
    ! [X29,X81,X50] :
      ( ~ c_in(X29,c_Finite__Set_OFinites,tc_set(X50))
      | ~ c_in(X81,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_2563_2564,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X23,c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_2564_2565,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_2565_2566,plain,
    ! [X23,X10,X12,X50] :
      ( ~ c_in(X23,X10,X50)
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_2566_2567,plain,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Power_Orecpower(X51)
      | c_Nat_Opower(c_Numeral_Onumber__of(X60,X51),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X51) = c_times(c_Numeral_Onumber__of(X60,X51),c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_2567_2568,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X53,tc_nat)
      | c_less(c_0,X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_2568_2569,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMax__le__iff__1(X12,X23,X50),X12,X50)
      | c_lessequals(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_2569_2570,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMax__less__iff__1(X12,X23,X50),X12,X50)
      | c_less(c_Finite__Set_OMax(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_2570_2571,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMin__ge__iff__1(X12,X23,X50),X12,X50)
      | c_lessequals(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_2571_2572,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Main_OMin__gr__iff__1(X12,X23,X50),X12,X50)
      | c_less(X23,c_Finite__Set_OMin(X12,X50),X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_2572_2573,plain,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_2573_2574,plain,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_2574_2575,plain,
    ! [X53,X54,X21] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_2575_2576,plain,
    ! [X53,X54,X21] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_plus(X21,X54,tc_nat),c_plus(X21,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_2576_2577,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_divide(X27,X49,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_2577_2578,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_divide(X27,X49,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_2578_2579,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,X27,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_divide(X27,X49,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_2579_2580,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_divide(X27,X49,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_2580_2581,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | ~ c_lessequals(X27,X49,X50)
      | c_lessequals(c_1,c_divide(X27,X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_2581_2582,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_1,c_divide(X27,X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_2582_2583,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,X49,X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_1,c_divide(X27,X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_2583_2584,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,X27,X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_1,c_divide(X27,X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_2584_2585,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_2585_2586,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X25,X62,X50)
      | ~ c_less(X23,X62,X50)
      | c_less(c_Orderings_Omax(X23,X25,X50),X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_2586_2587,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,X25,X50)
      | ~ c_less(X62,X23,X50)
      | c_less(X62,c_Orderings_Omin(X23,X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_2587_2588,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,X62,X51)
      | ~ c_lessequals(X23,X25,X51)
      | c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_2588_2589,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X25,X62,X51)
      | ~ c_lessequals(X23,X62,X51)
      | c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_2589_2590,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X52,X56,X50)
      | ~ c_lessequals(X57,X52,X50)
      | c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_2590_2591,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X56,X50)
      | ~ c_lessequals(X57,X52,X50)
      | c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_2591_2592,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X57,X52,X50)
      | ~ c_lessequals(X52,X56,X50)
      | c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_2592_2593,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X56,X50)
      | ~ c_less(X57,X52,X50)
      | c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_2593_2594,plain,
    ! [X66,X12,X50] :
      ( ~ c_in(c_Main_Oin__listsI__1(X12,X66,X50),X12,X50)
      | c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_2594_2595,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_Message_Osynth(c_Message_Oanalz(c_insert(X7,X22,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_2595_2596,plain,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_inter(X10,c_insert(X49,X12,X50),X50) != c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_2596_2597,plain,
    ! [X27,X10,X12,X50] :
      ( ~ c_in(X27,X12,X50)
      | c_emptyset != c_inter(X12,c_insert(X27,X10,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_2597_2598,plain,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_inter(c_insert(X49,X12,X50),X10,X50) != c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_2598_2599,plain,
    ! [X49,X10,X12,X50] :
      ( ~ c_in(X49,X10,X50)
      | c_emptyset != c_inter(c_insert(X49,X12,X50),X10,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_2599_2600,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X23,c_0,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_2600_2601,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,X23,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_2601_2602,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X23,X50)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_2602_2603,plain,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X50),X53,X50),X50)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_2603_2604,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X26,X49,X50),c_times(X26,X27,X50),X50) = c_divide(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_2604_2605,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X49,X26,X50),c_times(X27,X26,X50),X50) = c_divide(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_2605_2606,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50),X50) = c_plus(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_2606_2607,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_divide(X49,X27,X50),X26,X50) = c_divide(X49,c_times(X27,X26,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_2607_2608,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_divide(X27,X26,X50),X50) = c_divide(c_times(X49,X26,X50),X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_2608_2609,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_plus(X49,X27,X50),c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_2609_2610,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_minus(X49,X27,X50),c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_2610_2611,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X27,c_IntDef_OInts,X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_times(X49,X27,X50),c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_2611_2612,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_in(X27,c_IntDef_ONats,X50)
      | ~ c_in(X49,c_IntDef_ONats,X50)
      | c_in(c_plus(X49,X27,X50),c_IntDef_ONats,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_2612_2613,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_in(X27,c_IntDef_ONats,X50)
      | ~ c_in(X49,c_IntDef_ONats,X50)
      | c_in(c_times(X49,X27,X50),c_IntDef_ONats,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_2613_2614,plain,
    ! [X7,X22,X12] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),X7),c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_2614_2615,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_2615_2616,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Main_OInterI__1(X12,X20,X50),X50)
      | c_in(X12,c_Inter(X20,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_2616_2617,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Main_OInter__iff__1(X12,X20,X50),X50)
      | c_in(X12,c_Inter(X20,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_2617_2618,plain,
    ! [X5,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_2618_2619,plain,
    ! [X5,X12] :
      ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_2619_2620,plain,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(X65,X50)
      | ~ c_List_Odistinct(X66,X50)
      | c_inter(c_List_Oset(X66,X50),c_List_Oset(X65,X50),X50) != c_emptyset
      | c_List_Odistinct(c_append(X66,X65,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_2620_2621,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | ~ c_in(X26,X12,X50)
      | c_in(X26,c_inter(X12,X10,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_2621_2622,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    c_0_419 ).

fof(c_0_2622_2623,axiom,
    ! [X60,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X60,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(X60,tc_nat),tc_IntDef_Oint)) ),
    c_0_420 ).

fof(c_0_2623_2624,plain,
    ! [X66,X23,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Oset(c_List_Oremove1(X23,X66,X50),X50) = c_minus(c_List_Oset(X66,X50),c_insert(X23,c_emptyset,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_2624_2625,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X27,c_emptyset,X50) != c_insert(X49,X12,X50)
      | c_lessequals(X12,c_insert(X27,c_emptyset,X50),tc_set(X50)) ),
    c_0_422 ).

fof(c_0_2625_2626,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X49,X12,X50) != c_insert(X27,c_emptyset,X50)
      | c_lessequals(X12,c_insert(X27,c_emptyset,X50),tc_set(X50)) ),
    c_0_423 ).

fof(c_0_2626_2627,plain,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | ~ c_in(c_Main_Ofinite__Union__1(X12,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Union(X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_2627_2628,plain,
    ! [X66,X53,X50] :
      ( ~ c_less(X53,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_in(c_List_Onth(X66,X53,X50),c_List_Oset(X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_2628_2629,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,c_divide(X27,X26,X50),X50) = c_divide(c_times(X49,X27,X50),X26,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_2629_2630,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_divide(X27,X26,X50),X49,X50) = c_divide(c_times(X27,X49,X50),X26,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_2630_2631,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50)
      | c_1 = c_Numeral_Onumber__of(X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_2631_2632,plain,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_lessequals(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_2632_2633,plain,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51)
      | c_less(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_2633_2634,plain,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51)
      | c_lessequals(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_2634_2635,plain,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51)
      | c_less(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_2635_2636,plain,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,c_Relation_Odiag(X12,X50),tc_prod(X50,X50))
      | c_in(c_Main_OdiagE__1(X12,X26,X50),X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_2636_2637,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_minus(X12,X10,tc_set(X50)),X50)
      | c_in(X26,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_2637_2638,plain,
    ! [X25,X23] :
      ( ~ c_in(X25,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | ~ c_in(X23,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_OAbs__Integ(X23) != c_IntDef_OAbs__Integ(X25)
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_2638_2639,plain,
    ! [X5,X7,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) = c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_2639_2640,axiom,
    ! [X25,X66,X23,X64] :
      ( X23 = X25
      | c_List_Oremove1(X23,c_List_Olist_OCons(X25,X66,X64),X64) = c_List_Olist_OCons(X25,c_List_Oremove1(X23,X66,X64),X64) ),
    c_0_437 ).

fof(c_0_2640_2641,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50))
      | c_lessequals(X20,X12,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_2641_2642,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(X20,c_inter(X12,X10,X50),tc_set(X50))
      | c_lessequals(X20,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_2642_2643,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50))
      | c_lessequals(X12,X20,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_2643_2644,plain,
    ! [X20,X10,X12,X50] :
      ( ~ c_lessequals(c_union(X12,X10,X50),X20,tc_set(X50))
      | c_lessequals(X10,X20,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_441]) ).

fof(c_0_2644_2645,plain,
    ! [X23,X10,X12,X50] :
      ( ~ c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_442]) ).

fof(c_0_2645_2646,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(c_1,X53,tc_nat)
      | ~ c_lessequals(c_1,X54,tc_nat)
      | c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_2646_2647,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_2647_2648,axiom,
    ! [X7,X8,X22] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    c_0_445 ).

fof(c_0_2648_2649,plain,
    ! [X29,X81,X50] :
      ( ~ c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X81,c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_2649_2650,plain,
    ! [X29,X81,X50] :
      ( ~ c_in(c_union(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X29,c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_2650_2651,plain,
    ! [X49,X12,X50] :
      ( ~ c_in(c_insert(X49,X12,X50),c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X12,c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_2651_2652,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | ~ c_less(c_1,X53,tc_nat)
      | c_less(c_div(X54,X53,tc_nat),X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_449]) ).

fof(c_0_2652_2653,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | ~ c_less(c_0,X53,tc_nat)
      | c_less(c_minus(X54,X53,tc_nat),X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_2653_2654,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_plus(X49,X49,X50),c_0,X50)
      | c_less(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_2654_2655,plain,
    ! [X66,X32,X12,X50] :
      ( ~ c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | ~ c_in(X32,c_List_Oset(X66,X50),X50)
      | c_in(X32,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_2655_2656,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_times(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_453]) ).

fof(c_0_2656_2657,plain,
    ! [X23,X10,X12,X50] :
      ( ~ c_lessequals(c_insert(X23,X12,X50),X10,tc_set(X50))
      | c_in(X23,X10,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_2657_2658,plain,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | ~ c_in(X23,c_List_Oset(X66,X64),X64) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_2658_2659,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_Orderings_Omax(X23,X25,X50),X62,X50)
      | c_less(X23,X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_2659_2660,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(c_Orderings_Omax(X23,X25,X50),X62,X50)
      | c_less(X25,X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_2660_2661,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,c_Orderings_Omin(X23,X25,X50),X50)
      | c_less(X62,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_2661_2662,plain,
    ! [X62,X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X62,c_Orderings_Omin(X23,X25,X50),X50)
      | c_less(X62,X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_2662_2663,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51)
      | c_lessequals(X23,X25,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_2663_2664,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(X23,c_Orderings_Omin(X25,X62,X51),X51)
      | c_lessequals(X23,X62,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_2664_2665,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51)
      | c_lessequals(X23,X62,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_2665_2666,plain,
    ! [X62,X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_lessequals(c_Orderings_Omax(X23,X25,X51),X62,X51)
      | c_lessequals(X25,X62,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_463]) ).

fof(c_0_2666_2667,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50)
      | c_lessequals(X57,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_464]) ).

fof(c_0_2667_2668,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastAtMost(X57,X56,X50),X50)
      | c_lessequals(X52,X56,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_465]) ).

fof(c_0_2668_2669,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50)
      | c_lessequals(X57,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_2669_2670,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeastLessThan(X57,X56,X50),X50)
      | c_less(X52,X56,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_2670_2671,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50)
      | c_less(X57,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_468]) ).

fof(c_0_2671_2672,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanAtMost(X57,X56,X50),X50)
      | c_lessequals(X52,X56,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_469]) ).

fof(c_0_2672_2673,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50)
      | c_less(X57,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_470]) ).

fof(c_0_2673_2674,plain,
    ! [X56,X57,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThanLessThan(X57,X56,X50),X50)
      | c_less(X52,X56,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_471]) ).

fof(c_0_2674_2675,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oanalz(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X8)),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_472]) ).

fof(c_0_2675_2676,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_lessequals(X53,X54,tc_nat)
      | c_NatArith_Oof__nat(c_minus(X54,X53,tc_nat),X50) = c_minus(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_473]) ).

fof(c_0_2676_2677,plain,
    ! [X10,X12,X50] :
      ( ~ c_in(c_Main_OsubsetI__1(X12,X10,X50),X10,X50)
      | c_lessequals(X12,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_474]) ).

fof(c_0_2677_2678,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | c_in(X26,X10,X50)
      | c_in(X26,c_minus(X12,X10,tc_set(X50)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_475]) ).

fof(c_0_2678_2679,plain,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51)
      | c_lessequals(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_476]) ).

fof(c_0_2679_2680,plain,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_Numeral_Onumber__of(X61,X51),c_uminus(X27,X51),X51)
      | c_less(X27,c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_477]) ).

fof(c_0_2680_2681,plain,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51)
      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_478]) ).

fof(c_0_2681_2682,plain,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(X49,X51),c_Numeral_Onumber__of(X61,X51),X51)
      | c_less(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_2682_2683,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_divide(c_1,X27,X50),c_0,X50)
      | c_lessequals(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_480]) ).

fof(c_0_2683_2684,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_divide(c_1,X27,X50),c_0,X50)
      | c_less(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_481]) ).

fof(c_0_2684_2685,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,c_divide(c_1,X27,X50),X50)
      | c_lessequals(c_0,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_482]) ).

fof(c_0_2685_2686,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,c_divide(c_1,X27,X50),X50)
      | c_less(c_0,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_2686_2687,plain,
    ! [X23,X10,X12,X50] :
      ( ~ c_in(X23,X10,X50)
      | c_minus(c_insert(X23,X12,X50),X10,tc_set(X50)) = c_minus(X12,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_2687_2688,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_485]) ).

fof(c_0_2688_2689,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_486]) ).

fof(c_0_2689_2690,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_minus(X49,X27,X50),c_0,X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_2690_2691,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_minus(X49,X27,X50),c_0,X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_2691_2692,axiom,
    ! [X27,X49] :
      ( X49 = c_0
      | c_div(c_plus(X49,X27,tc_IntDef_Oint),X49,tc_IntDef_Oint) = c_plus(c_div(X27,X49,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    c_0_489 ).

fof(c_0_2692_2693,axiom,
    ! [X27,X49] :
      ( X49 = c_0
      | c_div(c_plus(X27,X49,tc_IntDef_Oint),X49,tc_IntDef_Oint) = c_plus(c_div(X27,X49,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    c_0_490 ).

fof(c_0_2693_2694,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X23)),X50),X50)
      | ~ c_lessequals(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_2694_2695,axiom,
    ! [X53,X54,X21] :
      ( c_less(c_0,X21,tc_nat)
      | c_lessequals(c_times(X21,X54,tc_nat),c_times(X21,X53,tc_nat),tc_nat) ),
    c_0_492 ).

fof(c_0_2695_2696,axiom,
    ! [X53,X54,X21] :
      ( c_less(c_0,X21,tc_nat)
      | c_lessequals(c_times(X54,X21,tc_nat),c_times(X53,X21,tc_nat),tc_nat) ),
    c_0_493 ).

fof(c_0_2696_2697,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_plus(X49,X49,X50),c_0,X50)
      | c_lessequals(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_494]) ).

fof(c_0_2697_2698,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,c_plus(X49,X49,X50),X50)
      | c_lessequals(c_0,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_495]) ).

fof(c_0_2698_2699,plain,
    ! [X65,X25,X23,X64] :
      ( ~ c_List_Oop_Amem(X23,c_List_Olist_OCons(X25,X65,X64),X64)
      | c_List_Oop_Amem(X23,X65,X64)
      | X25 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_496]) ).

fof(c_0_2699_2700,plain,
    ! [X27,X49,X12,X50] :
      ( ~ c_in(X49,c_insert(X27,X12,X50),X50)
      | c_in(X49,X12,X50)
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_497]) ).

fof(c_0_2700_2701,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_498]) ).

fof(c_0_2701_2702,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_inter(X12,X10,X50),X50)
      | c_in(X26,X12,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_499]) ).

fof(c_0_2702_2703,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,c_inter(X12,X10,X50),X50)
      | c_in(X26,X10,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_500]) ).

fof(c_0_2703_2704,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X10,c_insert(X49,X12,X50),X50) != c_emptyset
      | c_inter(X10,X12,X50) = c_emptyset ),
    c_0_501 ).

fof(c_0_2704_2705,axiom,
    ! [X27,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,c_insert(X27,X10,X50),X50)
      | c_emptyset = c_inter(X12,X10,X50) ),
    c_0_502 ).

fof(c_0_2705_2706,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(c_insert(X49,X12,X50),X10,X50) != c_emptyset
      | c_inter(X12,X10,X50) = c_emptyset ),
    c_0_503 ).

fof(c_0_2706_2707,axiom,
    ! [X49,X10,X12,X50] :
      ( c_emptyset != c_inter(c_insert(X49,X12,X50),X10,X50)
      | c_emptyset = c_inter(X12,X10,X50) ),
    c_0_504 ).

fof(c_0_2707_2708,plain,
    ! [X53] :
      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_505]) ).

fof(c_0_2708_2709,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_1
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_506]) ).

fof(c_0_2709_2710,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_507]) ).

fof(c_0_2710_2711,plain,
    ! [X63,X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_508]) ).

fof(c_0_2711_2712,plain,
    ! [X23,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Finite__Set_OMax(c_insert(X23,X12,X51),X51) = c_Orderings_Omax(X23,c_Finite__Set_OMax(X12,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_509]) ).

fof(c_0_2712_2713,plain,
    ! [X23,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Finite__Set_OMin(c_insert(X23,X12,X51),X51) = c_Orderings_Omin(X23,c_Finite__Set_OMin(X12,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_510]) ).

fof(c_0_2713_2714,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat)
      | c_lessequals(c_1,X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_511]) ).

fof(c_0_2714_2715,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X54,X53,tc_nat),tc_nat)
      | c_lessequals(c_1,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_512]) ).

fof(c_0_2715_2716,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_513]) ).

fof(c_0_2716_2717,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X10,X12,X50) != c_emptyset
      | c_in(X49,X10,X50)
      | c_inter(X10,c_insert(X49,X12,X50),X50) = c_emptyset ),
    c_0_514 ).

fof(c_0_2717_2718,axiom,
    ! [X27,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,X10,X50)
      | c_in(X27,X12,X50)
      | c_emptyset = c_inter(X12,c_insert(X27,X10,X50),X50) ),
    c_0_515 ).

fof(c_0_2718_2719,axiom,
    ! [X49,X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_emptyset
      | c_in(X49,X10,X50)
      | c_inter(c_insert(X49,X12,X50),X10,X50) = c_emptyset ),
    c_0_516 ).

fof(c_0_2719_2720,axiom,
    ! [X49,X10,X12,X50] :
      ( c_emptyset != c_inter(X12,X10,X50)
      | c_in(X49,X10,X50)
      | c_emptyset = c_inter(c_insert(X49,X12,X50),X10,X50) ),
    c_0_517 ).

fof(c_0_2720_2721,plain,
    ! [X66,X53,X52,X50] :
      ( ~ c_less(X52,X53,tc_nat)
      | c_List_Onth(c_List_Otake(X53,X66,X50),X52,X50) = c_List_Onth(X66,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_518]) ).

fof(c_0_2721_2722,plain,
    ! [X23,X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(X23,X12,X50)
      | c_Finite__Set_Ocard(c_insert(X23,X12,X50),X50) = c_Suc(c_Finite__Set_Ocard(X12,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_519]) ).

fof(c_0_2722_2723,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_520]) ).

fof(c_0_2723_2724,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_minus(X53,X54,tc_nat),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_521]) ).

fof(c_0_2724_2725,plain,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_inter(c_List_Oset(X66,X50),c_List_Oset(X65,X50),X50) = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_522]) ).

fof(c_0_2725_2726,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_OHPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_523]) ).

fof(c_0_2726_2727,plain,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_OGets(X12,X7),X5,tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_524]) ).

fof(c_0_2727_2728,plain,
    ! [X5,X7,X14,X8,X12] :
      ( ~ c_Yahalom_OKeyWithNonce(X8,X14,X5)
      | c_Yahalom_OKeyWithNonce(X8,X14,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

fof(c_0_2728_2729,axiom,
    ! [X71,X72,X49,X64] :
      ( c_in(X49,c_List_Oset(X71,X64),X64)
      | c_List_Olist__inter(c_List_Olist_OCons(X49,X72,X64),X71,X64) = c_List_Olist__inter(X72,X71,X64) ),
    c_0_526 ).

fof(c_0_2729_2730,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_times(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_527]) ).

fof(c_0_2730_2731,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,c_times(X54,X53,tc_nat),tc_nat)
      | c_less(c_0,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_528]) ).

fof(c_0_2731_2732,plain,
    ! [X62,X60] :
      ( ~ c_less(X60,c_plus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(X60,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_529]) ).

fof(c_0_2732_2733,plain,
    ! [X62,X60] :
      ( ~ c_lessequals(X60,c_minus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_530]) ).

fof(c_0_2733_2734,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(c_Main_OUnionE__1(X12,X20,X50),X20,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_531]) ).

fof(c_0_2734_2735,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(c_Main_OUnion__iff__1(X12,X20,X50),X20,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_532]) ).

fof(c_0_2735_2736,plain,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_533]) ).

fof(c_0_2736_2737,plain,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_534]) ).

fof(c_0_2737_2738,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_535]) ).

fof(c_0_2738_2739,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_536]) ).

fof(c_0_2739_2740,axiom,
    ! [X65,X25,X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_OCons(X25,X65,X50)
      | X66 = c_append(c_List_Orev(X65,X50),c_List_Olist_OCons(X25,c_List_Olist_ONil,X50),X50) ),
    c_0_537 ).

fof(c_0_2740_2741,plain,
    ! [X23,X12,X50] :
      ( ~ c_in(c_0,X12,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X12,X50) = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_2741_2742,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_539]) ).

fof(c_0_2742_2743,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(X12,c_Main_OUnionE__1(X12,X20,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_540]) ).

fof(c_0_2743_2744,plain,
    ! [X20,X12,X50] :
      ( ~ c_in(X12,c_Union(X20,X50),X50)
      | c_in(X12,c_Main_OUnion__iff__1(X12,X20,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_541]) ).

fof(c_0_2744_2745,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50),c_0,X50)
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_542]) ).

fof(c_0_2745_2746,plain,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | c_in(c_Main_Ofinite__Union__1(X12,X50),X12,tc_set(X50))
      | c_in(c_Union(X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_543]) ).

fof(c_0_2746_2747,plain,
    ! [X55,X52] :
      ( ~ c_lessequals(X52,X55,tc_nat)
      | c_List_Oupt(X52,c_Suc(X55)) = c_append(c_List_Oupt(X52,X55),c_List_Olist_OCons(X55,c_List_Olist_ONil,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_544]) ).

fof(c_0_2747_2748,plain,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat)
      | c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | c_in(c_Message_Omsg_OKey(v_sko__uhi(X22,X8)),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_545]) ).

fof(c_0_2748_2749,axiom,
    ! [X23,X10,X12,X50] :
      ( c_in(X23,X12,X50)
      | c_minus(X12,c_insert(X23,X10,X50),tc_set(X50)) = c_minus(X12,X10,tc_set(X50)) ),
    c_0_546 ).

fof(c_0_2749_2750,plain,
    ! [X23,X60] :
      ( ~ c_less(c_0,X23,tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_547]) ).

fof(c_0_2750_2751,axiom,
    ! [X66,X23,X64] :
      ( c_in(X23,c_List_Oset(X66,X64),X64)
      | c_List_Oremdups(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Olist_OCons(X23,c_List_Oremdups(X66,X64),X64) ),
    c_0_548 ).

fof(c_0_2751_2752,plain,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_549]) ).

fof(c_0_2752_2753,plain,
    ! [X5,X27,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_550]) ).

fof(c_0_2753_2754,plain,
    ! [X66,X53,X50] :
      ( ~ c_less(X53,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | c_List_Olast(c_List_Odrop(X53,X66,X50),X50) = c_List_Olast(X66,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_551]) ).

fof(c_0_2754_2755,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50)
      | X23 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_552]) ).

fof(c_0_2755_2756,plain,
    ! [X32,X20,X12,X50] :
      ( ~ c_in(X32,X20,tc_set(X50))
      | ~ c_in(X12,c_Inter(X20,X50),X50)
      | c_in(X12,X32,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_553]) ).

fof(c_0_2756_2757,axiom,
    ! [X23,X53,X50] :
      ( X53 = c_0
      | c_List_Otl(c_List_Oreplicate(X53,X23,X50),X50) = c_List_Oreplicate(c_minus(X53,c_1,tc_nat),X23,X50) ),
    c_0_554 ).

fof(c_0_2757_2758,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(c_0,X49,X50),c_times(c_0,X27,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_555]) ).

fof(c_0_2758_2759,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(X49,c_0,X50),c_times(X27,c_0,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_556]) ).

fof(c_0_2759_2760,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(c_uminus(X12,tc_set(X50)),c_uminus(X10,tc_set(X50)),tc_set(X50))
      | c_lessequals(X10,X12,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_2760_2761,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_558]) ).

fof(c_0_2761_2762,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | X27 = c_times(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_559]) ).

fof(c_0_2762_2763,plain,
    ! [X60,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0
      | c_divide(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_560]) ).

fof(c_0_2763_2764,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0
      | c_times(c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_2764_2765,plain,
    ! [X60,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | X49 = c_divide(c_times(X49,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51)
      | c_Numeral_Onumber__of(X60,X51) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_2765_2766,axiom,
    ! [X66,X12,X50] :
      ( c_in(X66,c_List_Olists(X12,X50),tc_List_Olist(X50))
      | c_in(c_Main_Oin__listsI__1(X12,X66,X50),c_List_Oset(X66,X50),X50) ),
    c_0_563 ).

fof(c_0_2766_2767,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_2767_2768,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_2768_2769,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_2769_2770,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_567]) ).

fof(c_0_2770_2771,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_568]) ).

fof(c_0_2771_2772,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_569]) ).

fof(c_0_2772_2773,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(X28,c_Message_Osynth(X22),tc_Message_Omsg)
      | ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_570]) ).

fof(c_0_2773_2774,plain,
    ! [X82,X10,X50] :
      ( ~ c_in(X10,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_minus(X10,X82,tc_set(X50)),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_571]) ).

fof(c_0_2774_2775,plain,
    ! [X53,X54,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,X49,X50)
      | c_Nat_Opower(X49,X54,X50) != c_Nat_Opower(X49,X53,X50)
      | X54 = X53 ),
    inference(fof_simplification,[status(thm)],[c_0_572]) ).

fof(c_0_2775_2776,plain,
    ! [X25,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X25,X12,X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Orderings_Omin(X25,c_Finite__Set_OMax(X12,X51),X51) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_573]) ).

fof(c_0_2776_2777,plain,
    ! [X25,X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X25,X12,X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | X12 = c_emptyset
      | c_Orderings_Omax(X25,c_Finite__Set_OMin(X12,X51),X51) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_574]) ).

fof(c_0_2777_2778,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_575]) ).

fof(c_0_2778_2779,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X23,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_lessequals(X23,c_Finite__Set_OMax(X12,X50),X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_576]) ).

fof(c_0_2779_2780,plain,
    ! [X23,X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X23,X12,X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_lessequals(c_Finite__Set_OMin(X12,X50),X23,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_577]) ).

fof(c_0_2780_2781,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_less(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_578]) ).

fof(c_0_2781_2782,axiom,
    ! [X63] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    c_0_579 ).

fof(c_0_2782_2783,plain,
    ! [X32,X20,X12,X50] :
      ( ~ c_in(X12,X32,X50)
      | ~ c_in(X32,X20,tc_set(X50))
      | c_in(X12,c_Union(X20,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_580]) ).

fof(c_0_2783_2784,plain,
    ! [X66,X23,X64] :
      ( ~ c_in(X23,c_List_Oset(X66,X64),X64)
      | c_List_Oremdups(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Oremdups(X66,X64) ),
    inference(fof_simplification,[status(thm)],[c_0_581]) ).

fof(c_0_2784_2785,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_582]) ).

fof(c_0_2785_2786,plain,
    ! [X49,X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_insert(X49,X12,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_583]) ).

fof(c_0_2786_2787,plain,
    ! [X29,X81,X50] :
      ( ~ c_in(X81,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_inter(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_584]) ).

fof(c_0_2787_2788,plain,
    ! [X29,X81,X50] :
      ( ~ c_in(X29,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_inter(X81,X29,X50),c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_585]) ).

fof(c_0_2788_2789,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Odrop(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_OCons(X23,X66,X50) ),
    c_0_586 ).

fof(c_0_2789_2790,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ class_Orderings_Olinorder(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_plus(X49,X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_587]) ).

fof(c_0_2790_2791,plain,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_588]) ).

fof(c_0_2791_2792,plain,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X60,X51),X51),c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_2792_2793,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_2793_2794,axiom,
    ! [X8,X22] :
      ( c_in(X8,c_Message_OkeysFor(c_Message_Oanalz(X22)),tc_nat)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X8),c_Message_Oanalz(X22),tc_Message_Omsg) ),
    c_0_591 ).

fof(c_0_2794_2795,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(X27,c_0,X50)
      | c_lessequals(c_divide(c_1,X27,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_592]) ).

fof(c_0_2795_2796,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X27,c_0,X50)
      | c_less(c_divide(c_1,X27,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_593]) ).

fof(c_0_2796_2797,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,X27,X50)
      | c_lessequals(c_0,c_divide(c_1,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_594]) ).

fof(c_0_2797_2798,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X27,X50)
      | c_less(c_0,c_divide(c_1,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_2798_2799,plain,
    ! [X25,X23] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_IntDef_Oint),c_Numeral_Onumber__of(X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_IntDef_Oint),c_Numeral_Onumber__of(X23,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_2799_2800,axiom,
    ! [X25,X23] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_IntDef_Oint),c_Numeral_Onumber__of(X23,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_IntDef_Oint),c_Numeral_Onumber__of(X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_597 ).

fof(c_0_2800_2801,plain,
    ! [X25,X23] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_nat),c_Numeral_Onumber__of(X25,tc_nat),tc_nat)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_nat),c_Numeral_Onumber__of(X23,tc_nat),tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_2801_2802,axiom,
    ! [X25,X23] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X25,tc_nat),c_Numeral_Onumber__of(X23,tc_nat),tc_nat) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X23,tc_nat),c_Numeral_Onumber__of(X25,tc_nat),tc_nat) ),
    c_0_599 ).

fof(c_0_2802_2803,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_minus(X49,X27,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_2803_2804,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_minus(X49,X27,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_2804_2805,plain,
    ! [X27,X49,X50] :
      ( ~ c_in(X27,c_insert(X49,c_emptyset,X50),X50)
      | X27 = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_2805_2806,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_Nat_Opower(c_HOL_Oabs(X23,X50),c_Numeral_Onumber__of(X60,tc_nat),X50) = c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_603]) ).

fof(c_0_2806_2807,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_plus(X49,X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_604]) ).

fof(c_0_2807_2808,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_0,c_plus(X49,X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_605]) ).

fof(c_0_2808_2809,plain,
    ! [X53,X52] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_minus(X53,c_Suc(X52),tc_nat),X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_606]) ).

fof(c_0_2809_2810,plain,
    ! [X21,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_minus(c_insert(X21,c_emptyset,X50),c_SetInterval_OlessThan(X21,X50),tc_set(X50)) = c_insert(X21,c_emptyset,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_607]) ).

fof(c_0_2810_2811,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X25,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_608]) ).

fof(c_0_2811_2812,axiom,
    ! [X20,X12,X50] :
      ( c_in(X12,c_Inter(X20,X50),X50)
      | c_in(c_Main_OInterI__1(X12,X20,X50),X20,tc_set(X50)) ),
    c_0_609 ).

fof(c_0_2812_2813,axiom,
    ! [X20,X12,X50] :
      ( c_in(X12,c_Inter(X20,X50),X50)
      | c_in(c_Main_OInter__iff__1(X12,X20,X50),X20,tc_set(X50)) ),
    c_0_610 ).

fof(c_0_2813_2814,plain,
    ! [X65,X25,X23,X64] :
      ( ~ c_List_Oop_Amem(X23,X65,X64)
      | c_List_Oop_Amem(X23,c_List_Olist_OCons(X25,X65,X64),X64) ),
    inference(fof_simplification,[status(thm)],[c_0_611]) ).

fof(c_0_2814_2815,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | c_in(X26,c_union(X12,X10,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_612]) ).

fof(c_0_2815_2816,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X10,X50)
      | c_in(X26,c_union(X12,X10,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_613]) ).

fof(c_0_2816_2817,plain,
    ! [X27,X49,X12,X50] :
      ( ~ c_in(X49,X12,X50)
      | c_in(X49,c_insert(X27,X12,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_614]) ).

fof(c_0_2817_2818,plain,
    ! [X25,X53,X52,X50] :
      ( ~ c_less(X52,X53,tc_nat)
      | c_List_Onth(c_List_Oreplicate(X53,X25,X50),X52,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_615]) ).

fof(c_0_2818_2819,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_616]) ).

fof(c_0_2819_2820,plain,
    ! [X25,X53] :
      ( ~ c_lessequals(X25,X53,tc_nat)
      | c_minus(X53,c_minus(X53,X25,tc_nat),tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_617]) ).

fof(c_0_2820_2821,plain,
    ! [X25,X53] :
      ( ~ c_lessequals(X53,X25,tc_nat)
      | c_plus(c_minus(X25,X53,tc_nat),X53,tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_618]) ).

fof(c_0_2821_2822,plain,
    ! [X25,X53] :
      ( ~ c_lessequals(X53,X25,tc_nat)
      | c_plus(X53,c_minus(X25,X53,tc_nat),tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_619]) ).

fof(c_0_2822_2823,plain,
    ! [X53,X52] :
      ( ~ c_lessequals(c_1,X52,tc_nat)
      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X52,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_620]) ).

fof(c_0_2823_2824,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_HOL_Oabs(c_divide(X49,X27,X50),X50) = c_divide(c_HOL_Oabs(X49,X50),c_HOL_Oabs(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_2824_2825,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_times(X49,X27,X50),X50) = c_times(c_HOL_Oinverse(X49,X50),c_HOL_Oinverse(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_622]) ).

fof(c_0_2825_2826,plain,
    ! [X53] :
      ( ~ c_less(c_0,c_Nat_Opower(c_0,X53,tc_nat),tc_nat)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_623]) ).

fof(c_0_2826_2827,plain,
    ! [X23,X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_624]) ).

fof(c_0_2827_2828,plain,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_0,c_minus(X53,X54,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_625]) ).

fof(c_0_2828_2829,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(c_SetInterval_OatLeast(X23,X50),c_SetInterval_OatLeast(X25,X50),tc_set(X50))
      | c_lessequals(X25,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_626]) ).

fof(c_0_2829_2830,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(c_SetInterval_OatMost(X23,X50),c_SetInterval_OatMost(X25,X50),tc_set(X50))
      | c_lessequals(X23,X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_627]) ).

fof(c_0_2830_2831,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OgreaterThan(X23,X50),c_SetInterval_OgreaterThan(X25,X50),tc_set(X50))
      | c_lessequals(X25,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_628]) ).

fof(c_0_2831_2832,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(c_SetInterval_OlessThan(X23,X50),c_SetInterval_OlessThan(X25,X50),tc_set(X50))
      | c_lessequals(X23,X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_629]) ).

fof(c_0_2832_2833,plain,
    ! [X25,X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_times(X53,X25,tc_nat),X53,tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_630]) ).

fof(c_0_2833_2834,plain,
    ! [X25,X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(c_times(X25,X53,tc_nat),X53,tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_2834_2835,axiom,
    ! [X25,X50] :
      ( X25 = c_List_Olist_ONil
      | c_append(c_List_Obutlast(X25,X50),c_List_Olist_OCons(c_List_Olast(X25,X50),c_List_Olist_ONil,X50),X50) = X25 ),
    c_0_632 ).

fof(c_0_2835_2836,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_lessequals(c_Divides_Oop_Amod(X54,X53,tc_nat),X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_633]) ).

fof(c_0_2836_2837,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_Divides_Oop_Amod(X54,X53,tc_nat),X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_634]) ).

fof(c_0_2837_2838,plain,
    ! [X27,X49] :
      ( ~ c_less(X27,c_0,tc_IntDef_Oint)
      | c_less(X27,c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_635]) ).

fof(c_0_2838_2839,plain,
    ! [X27,X49] :
      ( ~ c_less(c_0,X27,tc_IntDef_Oint)
      | c_less(c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),X27,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_636]) ).

fof(c_0_2839_2840,plain,
    ! [X62,X60] :
      ( ~ c_lessequals(X60,X62,tc_IntDef_Oint)
      | c_less(X60,c_plus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_637]) ).

fof(c_0_2840_2841,plain,
    ! [X62,X60] :
      ( ~ c_less(X60,X62,tc_IntDef_Oint)
      | c_lessequals(X60,c_minus(X62,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_638]) ).

fof(c_0_2841_2842,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_639]) ).

fof(c_0_2842_2843,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X66 = X65 ),
    c_0_640 ).

fof(c_0_2843_2844,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_Nat_Osize(X65,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X68 = X67 ),
    c_0_641 ).

fof(c_0_2844_2845,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X68,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X66 = X65 ),
    c_0_642 ).

fof(c_0_2845_2846,axiom,
    ! [X65,X66,X67,X68,X50] :
      ( c_Nat_Osize(X68,tc_List_Olist(X50)) != c_Nat_Osize(X67,tc_List_Olist(X50))
      | c_append(X66,X68,X50) != c_append(X65,X67,X50)
      | X68 = X67 ),
    c_0_643 ).

fof(c_0_2846_2847,plain,
    ! [X26,X10,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | c_in(X26,X10,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_644]) ).

fof(c_0_2847_2848,plain,
    ! [X27,X49] :
      ( ~ c_less(X27,c_0,tc_IntDef_Oint)
      | c_lessequals(c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_645]) ).

fof(c_0_2848_2849,plain,
    ! [X27,X49] :
      ( ~ c_less(c_0,X27,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Divides_Oop_Amod(X49,X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_646]) ).

fof(c_0_2849_2850,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_647]) ).

fof(c_0_2850_2851,plain,
    ! [X53,X54] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_plus(X54,X53,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_648]) ).

fof(c_0_2851_2852,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat)
      | c_less(c_0,X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_649]) ).

fof(c_0_2852_2853,plain,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_650]) ).

fof(c_0_2853_2854,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_plus(X49,X27,X50),X50) = c_plus(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_651]) ).

fof(c_0_2854_2855,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_uminus(c_LOrder_Ojoin(X49,X27,X50),X50) = c_LOrder_Omeet(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_652]) ).

fof(c_0_2855_2856,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_uminus(c_LOrder_Omeet(X49,X27,X50),X50) = c_LOrder_Ojoin(c_uminus(X49,X50),c_uminus(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_653]) ).

fof(c_0_2856_2857,plain,
    ! [X48,X94,X50] :
      ( ~ c_in(X94,X48,tc_prod(X50,X50))
      | c_in(X94,c_Transitive__Closure_Ortrancl(X48,X50),tc_prod(X50,X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_654]) ).

fof(c_0_2857_2858,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X10,X12,tc_set(X50))
      | c_lessequals(c_uminus(X12,tc_set(X50)),c_uminus(X10,tc_set(X50)),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_655]) ).

fof(c_0_2858_2859,axiom,
    ! [X5,X7,X12] :
      ( c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X7),X5,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X5) ),
    c_0_656 ).

fof(c_0_2859_2860,plain,
    ! [X26,X12,X50] :
      ( ~ c_in(X26,X12,X50)
      | ~ c_in(X26,c_uminus(X12,tc_set(X50)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_657]) ).

fof(c_0_2860_2861,plain,
    ! [X62,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_uminus(c_Numeral_Onumber__of(X60,X50),X50),X62,X50) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X60),X50),X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_658]) ).

fof(c_0_2861_2862,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_plus(X60,X62,tc_IntDef_Oint),X50) = c_plus(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_659]) ).

fof(c_0_2862_2863,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_minus(X60,X62,tc_IntDef_Oint),X50) = c_minus(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_660]) ).

fof(c_0_2863_2864,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_times(X60,X62,tc_IntDef_Oint),X50) = c_times(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_661]) ).

fof(c_0_2864_2865,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_plus(X54,X53,tc_nat),X50) = c_plus(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_662]) ).

fof(c_0_2865_2866,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_times(X54,X53,tc_nat),X50) = c_times(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_663]) ).

fof(c_0_2866_2867,plain,
    ! [X62,X60] :
      ( ~ c_less(X60,X62,tc_IntDef_Oint)
      | ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_664]) ).

fof(c_0_2867_2868,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X63),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_665]) ).

fof(c_0_2868_2869,plain,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(X26,c_times(X26,X27,X50),X50) = c_divide(c_1,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_666]) ).

fof(c_0_2869_2870,plain,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(X26,c_times(X27,X26,X50),X50) = c_divide(c_1,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_667]) ).

fof(c_0_2870_2871,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_uminus(X27,X50),c_uminus(X49,X50),X50)
      | c_lessequals(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_668]) ).

fof(c_0_2871_2872,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_uminus(X27,X50),c_uminus(X49,X50),X50)
      | c_less(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_669]) ).

fof(c_0_2872_2873,plain,
    ! [X60,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X60,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_670]) ).

fof(c_0_2873_2874,plain,
    ! [X23,X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Parity_Oeven(X53,tc_nat)
      | c_Nat_Opower(c_uminus(X23,X50),X53,X50) = c_uminus(c_Nat_Opower(X23,X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_671]) ).

fof(c_0_2874_2875,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50)
      | c_lessequals(X60,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_672]) ).

fof(c_0_2875_2876,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_673]) ).

fof(c_0_2876_2877,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50)
      | c_lessequals(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_674]) ).

fof(c_0_2877_2878,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_675]) ).

fof(c_0_2878_2879,plain,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),X53,X50),X50)
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_676]) ).

fof(c_0_2879_2880,plain,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_677]) ).

fof(c_0_2880_2881,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_1 != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_678]) ).

fof(c_0_2881_2882,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_679]) ).

fof(c_0_2882_2883,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X28,c_Message_Osynth(c_Message_Oanalz(X22)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_680]) ).

fof(c_0_2883_2884,plain,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(X66,X64)
      | c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | c_in(X23,c_List_Oset(X66,X64),X64) ),
    inference(fof_simplification,[status(thm)],[c_0_681]) ).

fof(c_0_2884_2885,plain,
    ! [X5,X26] :
      ( ~ c_in(X26,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(X26,c_Event_Oused(X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_682]) ).

fof(c_0_2885_2886,axiom,
    ! [X63,X61] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X63)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_683 ).

fof(c_0_2886_2887,plain,
    ! [X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X49,X50),c_0,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_684]) ).

fof(c_0_2887_2888,plain,
    ! [X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omin(X23,c_Orderings_Omin(X23,X25,X51),X51) = c_Orderings_Omin(X23,X25,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_685]) ).

fof(c_0_2888_2889,plain,
    ! [X25,X23,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omax(X23,c_Orderings_Omax(X23,X25,X51),X51) = c_Orderings_Omax(X23,X25,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_686]) ).

fof(c_0_2889_2890,axiom,
    ! [X10,X12,X50] :
      ( c_in(c_Main_OsubsetI__1(X12,X10,X50),X12,X50)
      | c_lessequals(X12,X10,tc_set(X50)) ),
    c_0_687 ).

fof(c_0_2890_2891,plain,
    ! [X7,X22] :
      ( ~ c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X7),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_688]) ).

fof(c_0_2891_2892,axiom,
    ! [X23,X60] :
      ( c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X23,c_Numeral_Onumber__of(X60,tc_nat),tc_nat),tc_nat) ),
    c_0_689 ).

fof(c_0_2892_2893,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X23,X50),X50) = c_uminus(c_Numeral_Onumber__of(X23,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_690]) ).

fof(c_0_2893_2894,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_Numeral_Onumber__of(X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_691]) ).

fof(c_0_2894_2895,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_less(c_0,X25,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_692]) ).

fof(c_0_2895_2896,plain,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_less(c_0,X53,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_693]) ).

fof(c_0_2896_2897,plain,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_Numeral_Onumber__of(X61,X50),c_1,X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_694]) ).

fof(c_0_2897_2898,plain,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_1,c_uminus(X27,X51),X51)
      | c_lessequals(X27,c_uminus(c_1,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_695]) ).

fof(c_0_2898_2899,plain,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_1,c_uminus(X27,X51),X51)
      | c_less(X27,c_uminus(c_1,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_696]) ).

fof(c_0_2899_2900,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_uminus(c_divide(c_1,X23,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_697]) ).

fof(c_0_2900_2901,plain,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(X49,X51),c_1,X51)
      | c_lessequals(c_uminus(c_1,X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_698]) ).

fof(c_0_2901_2902,plain,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(X49,X51),c_1,X51)
      | c_less(c_uminus(c_1,X51),X49,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_699]) ).

fof(c_0_2902_2903,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_700]) ).

fof(c_0_2903_2904,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_701]) ).

fof(c_0_2904_2905,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_702]) ).

fof(c_0_2905_2906,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X25,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_703]) ).

fof(c_0_2906_2907,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_704]) ).

fof(c_0_2907_2908,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_705]) ).

fof(c_0_2908_2909,plain,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(X27,c_uminus(c_1,X51),X51)
      | c_lessequals(c_1,c_uminus(X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_706]) ).

fof(c_0_2909_2910,plain,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(X27,c_uminus(c_1,X51),X51)
      | c_less(c_1,c_uminus(X27,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_707]) ).

fof(c_0_2910_2911,plain,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_lessequals(c_uminus(c_1,X51),X49,X51)
      | c_lessequals(c_uminus(X49,X51),c_1,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_708]) ).

fof(c_0_2911_2912,plain,
    ! [X49,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X51)
      | ~ c_less(c_uminus(c_1,X51),X49,X51)
      | c_less(c_uminus(X49,X51),c_1,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_709]) ).

fof(c_0_2912_2913,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_uminus(X27,X50),X50) = c_uminus(c_divide(X49,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_710]) ).

fof(c_0_2913_2914,plain,
    ! [X12,X50] :
      ( ~ c_in(c_Pow(X12,X50),c_Finite__Set_OFinites,tc_set(tc_set(X50)))
      | c_in(X12,c_Finite__Set_OFinites,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_711]) ).

fof(c_0_2914_2915,plain,
    ! [X60,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,c_Numeral_Onumber__of(X60,tc_nat),X50) != c_0
      | c_less(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_712]) ).

fof(c_0_2915_2916,axiom,
    ! [X23,X12,X50] :
      ( c_in(c_0,X12,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X23,c_List_Olist_ONil,X50),X12,X50) = c_List_Olist_ONil ),
    c_0_713 ).

fof(c_0_2916_2917,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_714]) ).

fof(c_0_2917_2918,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_715]) ).

fof(c_0_2918_2919,plain,
    ! [X12,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X51))
      | c_lessequals(c_Finite__Set_OMin(X12,X51),c_Finite__Set_OMax(X12,X51),X51)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_716]) ).

fof(c_0_2919_2920,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X63),tc_nat) ),
    c_0_717 ).

fof(c_0_2920_2921,plain,
    ! [X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_718]) ).

fof(c_0_2921_2922,plain,
    ! [X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_719]) ).

fof(c_0_2922_2923,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_uminus(X49,X50),X27,X50) = c_uminus(c_divide(X49,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_720]) ).

fof(c_0_2923_2924,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(c_uminus(X49,X50),X27,X50) = c_uminus(c_times(X49,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_721]) ).

fof(c_0_2924_2925,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(X49,c_uminus(X27,X50),X50) = c_uminus(c_times(X49,X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_722]) ).

fof(c_0_2925_2926,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X60,tc_nat),tc_nat)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_723]) ).

fof(c_0_2926_2927,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X25,X23,X50)
      | c_lessequals(c_SetInterval_OatLeast(X23,X50),c_SetInterval_OatLeast(X25,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_724]) ).

fof(c_0_2927_2928,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X23,X25,X50)
      | c_lessequals(c_SetInterval_OatMost(X23,X50),c_SetInterval_OatMost(X25,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_725]) ).

fof(c_0_2928_2929,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X25,X23,X50)
      | c_lessequals(c_SetInterval_OgreaterThan(X23,X50),c_SetInterval_OgreaterThan(X25,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_726]) ).

fof(c_0_2929_2930,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_lessequals(X23,X25,X50)
      | c_lessequals(c_SetInterval_OlessThan(X23,X50),c_SetInterval_OlessThan(X25,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_727]) ).

fof(c_0_2930_2931,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Onth(c_List_Olist_OCons(X23,X66,X50),c_Numeral_Onumber__of(X61,tc_nat),X50) = X23 ),
    c_0_728 ).

fof(c_0_2931_2932,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg)
      | c_Message_Oparts(c_insert(X7,X22,tc_Message_Omsg)) = c_Message_Oparts(X22) ),
    inference(fof_simplification,[status(thm)],[c_0_729]) ).

fof(c_0_2932_2933,plain,
    ! [X66,X23,X64] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X23,X66,X64),X64)
      | c_List_Odistinct(X66,X64) ),
    inference(fof_simplification,[status(thm)],[c_0_730]) ).

fof(c_0_2933_2934,plain,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_731]) ).

fof(c_0_2934_2935,plain,
    ! [X65,X66,X50] :
      ( ~ c_List_Odistinct(c_append(X66,X65,X50),X50)
      | c_List_Odistinct(X65,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_732]) ).

fof(c_0_2935_2936,plain,
    ! [X66,X53,X50] :
      ( ~ c_List_Odistinct(c_List_Orotate(X53,X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_733]) ).

fof(c_0_2936_2937,plain,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X48,X50,X50),X50)
      | c_Wellfounded__Recursion_Oacyclic(X48,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_734]) ).

fof(c_0_2937_2938,axiom,
    ! [X66,X23,X61,X50] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_List_Otake(c_Numeral_Onumber__of(X61,tc_nat),c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olist_ONil ),
    c_0_735 ).

fof(c_0_2938_2939,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X23)),X50),X50)
      | c_lessequals(c_Numeral_Onumber__of(X23,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_736]) ).

fof(c_0_2939_2940,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X61,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_737]) ).

fof(c_0_2940_2941,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X61,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_738]) ).

fof(c_0_2941_2942,plain,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat)
      | c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | X8 = c_Message_OinvKey(v_sko__uhi(X22,X8)) ),
    inference(fof_simplification,[status(thm)],[c_0_739]) ).

fof(c_0_2942_2943,axiom,
    ! [X23,X53] :
      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X23,tc_IntDef_Oint),X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | X23 = c_0 ),
    c_0_740 ).

fof(c_0_2943_2944,axiom,
    ! [X66,X23,X64] :
      ( X66 = c_List_Olist_ONil
      | c_List_Obutlast(c_List_Olist_OCons(X23,X66,X64),X64) = c_List_Olist_OCons(X23,c_List_Obutlast(X66,X64),X64) ),
    c_0_741 ).

fof(c_0_2944_2945,axiom,
    ! [X65,X66,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Otl(c_append(X66,X65,X50),X50) = c_append(c_List_Otl(X66,X50),X65,X50) ),
    c_0_742 ).

fof(c_0_2945_2946,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_uminus(X27,X50),c_uminus(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_743]) ).

fof(c_0_2946_2947,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,X27,X50)
      | c_less(c_uminus(X27,X50),c_uminus(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_744]) ).

fof(c_0_2947_2948,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_OrderedGroup_Onprt(X49,X50),c_OrderedGroup_Onprt(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_745]) ).

fof(c_0_2948_2949,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X49,X27,X50)
      | c_lessequals(c_OrderedGroup_Opprt(X49,X50),c_OrderedGroup_Opprt(X27,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_746]) ).

fof(c_0_2949_2950,plain,
    ! [X23,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X60,X23),X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X60,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_747]) ).

fof(c_0_2950_2951,axiom,
    ! [X25,X53,X50] :
      ( c_Divides_Oop_Amod(X53,c_Nat_Osize(X25,tc_List_Olist(X50)),tc_nat) != c_0
      | c_List_Orotate(X53,X25,X50) = X25 ),
    c_0_748 ).

fof(c_0_2951_2952,plain,
    ! [X25,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),X53,tc_nat)
      | c_List_Otake(X53,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_749]) ).

fof(c_0_2952_2953,plain,
    ! [X66,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X66,tc_List_Olist(X50)),X53,tc_nat)
      | c_List_Odrop(X53,X66,X50) = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_750]) ).

fof(c_0_2953_2954,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X25,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X25,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_751]) ).

fof(c_0_2954_2955,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X60,X62,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_752]) ).

fof(c_0_2955_2956,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X60,X62,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X60,X50),c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_753]) ).

fof(c_0_2956_2957,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_754]) ).

fof(c_0_2957_2958,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(X54,X53,tc_nat)
      | c_less(c_NatArith_Oof__nat(X54,X50),c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_755]) ).

fof(c_0_2958_2959,plain,
    ! [X25,X23,X17,X50] :
      ( ~ c_Infinite__Set_Oatmost__one(X17,X50)
      | ~ c_in(X25,X17,X50)
      | ~ c_in(X23,X17,X50)
      | X25 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_756]) ).

fof(c_0_2959_2960,plain,
    ! [X10,X12,X50] :
      ( ~ c_in(X12,c_Pow(X10,X50),tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_757]) ).

fof(c_0_2960_2961,plain,
    ! [X25,X53,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),c_1,tc_nat)
      | c_List_Orotate(X53,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_758]) ).

fof(c_0_2961_2962,plain,
    ! [X25] :
      ( ~ c_less(c_0,X25,tc_nat)
      | c_Suc(c_minus(X25,c_Suc(c_0),tc_nat)) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_759]) ).

fof(c_0_2962_2963,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X25,tc_nat),tc_nat)
      | c_Parity_Oeven(X23,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_760]) ).

fof(c_0_2963_2964,plain,
    ! [X23,X53] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X23,X53,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_761]) ).

fof(c_0_2964_2965,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50)
      | c_0 = c_Numeral_Onumber__of(X25,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_762]) ).

fof(c_0_2965_2966,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_763]) ).

fof(c_0_2966_2967,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_764]) ).

fof(c_0_2967_2968,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X10,X12,tc_set(X50))
      | ~ c_lessequals(X12,X10,tc_set(X50))
      | X12 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_765]) ).

fof(c_0_2968_2969,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_766]) ).

fof(c_0_2969_2970,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_767]) ).

fof(c_0_2970_2971,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X28,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_768]) ).

fof(c_0_2971_2972,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_769]) ).

fof(c_0_2972_2973,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Event_Oused(X22),tc_Message_Omsg)
      | c_in(X28,c_Event_Oused(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_770]) ).

fof(c_0_2973_2974,plain,
    ! [X28,X7,X22] :
      ( ~ c_in(c_Message_Omsg_OMPair(X7,X28),c_Event_Oused(X22),tc_Message_Omsg)
      | c_in(X7,c_Event_Oused(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_771]) ).

fof(c_0_2974_2975,plain,
    ! [X7,X8,X22] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X8,X7),c_Message_Oparts(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_772]) ).

fof(c_0_2975_2976,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_HOL_Oinverse(X49,X50),c_0,X50)
      | c_less(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_773]) ).

fof(c_0_2976_2977,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,c_HOL_Oinverse(X49,X50),X50)
      | c_lessequals(c_0,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_774]) ).

fof(c_0_2977_2978,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_HOL_Oinverse(X49,X50),c_0,X50)
      | c_lessequals(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_775]) ).

fof(c_0_2978_2979,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,c_HOL_Oinverse(X49,X50),X50)
      | c_less(c_0,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_776]) ).

fof(c_0_2979_2980,plain,
    ! [X10,X12,X50] :
      ( ~ c_less(X12,X10,tc_set(X50))
      | ~ c_lessequals(X10,X12,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_777]) ).

fof(c_0_2980_2981,plain,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Pow(X12,X50),c_Finite__Set_OFinites,tc_set(tc_set(X50))) ),
    inference(fof_simplification,[status(thm)],[c_0_778]) ).

fof(c_0_2981_2982,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),X50),X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X60,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_779]) ).

fof(c_0_2982_2983,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_divide(X49,X27,X50),X50) = c_divide(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_780]) ).

fof(c_0_2983_2984,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X26,X49,X50) != c_divide(X26,X27,X50)
      | X49 = X27
      | X26 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_781]) ).

fof(c_0_2984_2985,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X26,X50) != c_divide(X27,X26,X50)
      | X49 = X27
      | X26 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_782]) ).

fof(c_0_2985_2986,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatLeast(X21,X50),X50)
      | c_lessequals(X21,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_783]) ).

fof(c_0_2986_2987,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OatMost(X21,X50),X50)
      | c_lessequals(X52,X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_784]) ).

fof(c_0_2987_2988,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OgreaterThan(X21,X50),X50)
      | c_less(X21,X52,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_785]) ).

fof(c_0_2988_2989,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_in(X52,c_SetInterval_OlessThan(X21,X50),X50)
      | c_less(X52,X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_786]) ).

fof(c_0_2989_2990,plain,
    ! [X53,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X53,X50),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_787]) ).

fof(c_0_2990_2991,plain,
    ! [X61] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X61,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X61,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_788]) ).

fof(c_0_2991_2992,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50)
      | c_Numeral_Onumber__of(X23,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_789]) ).

fof(c_0_2992_2993,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_0,c_uminus(X49,X50),X50)
      | c_lessequals(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_790]) ).

fof(c_0_2993_2994,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_0,c_uminus(X49,X50),X50)
      | c_less(X49,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_791]) ).

fof(c_0_2994_2995,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_uminus(X49,X50),c_0,X50)
      | c_lessequals(c_0,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_792]) ).

fof(c_0_2995_2996,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_uminus(X49,X50),c_0,X50)
      | c_less(c_0,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_793]) ).

fof(c_0_2996_2997,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X62,X50),X50)
      | c_lessequals(c_0,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_794]) ).

fof(c_0_2997_2998,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,c_IntDef_Oof__int(X62,X50),X50)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_795]) ).

fof(c_0_2998_2999,plain,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_IntDef_Oof__int(X60,X50),c_0,X50)
      | c_lessequals(X60,c_0,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_796]) ).

fof(c_0_2999_3000,plain,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_IntDef_Oof__int(X60,X50),c_0,X50)
      | c_less(X60,c_0,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_797]) ).

fof(c_0_3000_3001,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_0,c_NatArith_Oof__nat(X53,X50),X50)
      | c_less(c_0,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_798]) ).

fof(c_0_3001_3002,plain,
    ! [X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Finite__Set_OMax(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_799]) ).

fof(c_0_3002_3003,plain,
    ! [X12,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_in(c_Finite__Set_OMin(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_800]) ).

fof(c_0_3003_3004,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_in(X12,c_Pow(X10,X50),tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_801]) ).

fof(c_0_3004_3005,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_minus(X49,X27,X50),X50) = c_minus(X27,X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_802]) ).

fof(c_0_3005_3006,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X26,X49,X50) != c_times(X26,X27,X50)
      | X49 = X27
      | X26 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_803]) ).

fof(c_0_3006_3007,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,X26,X50) != c_times(X27,X26,X50)
      | X49 = X27
      | X26 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_804]) ).

fof(c_0_3007_3008,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X50)
      | c_plus(X49,X27,X50) != c_plus(X49,X26,X50)
      | X27 = X26 ),
    inference(fof_simplification,[status(thm)],[c_0_805]) ).

fof(c_0_3008_3009,plain,
    ! [X26,X27,X49,X50] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X50)
      | c_plus(X27,X49,X50) != c_plus(X26,X49,X50)
      | X27 = X26 ),
    inference(fof_simplification,[status(thm)],[c_0_806]) ).

fof(c_0_3009_3010,plain,
    ! [X76,X32,X50] :
      ( ~ c_in(X32,c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Olist_ONil != c_List_Oconcat(X76,X50)
      | X32 = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_807]) ).

fof(c_0_3010_3011,plain,
    ! [X76,X32,X50] :
      ( ~ c_in(X32,c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Oconcat(X76,X50) != c_List_Olist_ONil
      | X32 = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_808]) ).

fof(c_0_3011_3012,plain,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X26,X49,X50),X26,X50) = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_809]) ).

fof(c_0_3012_3013,plain,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X26 = c_0
      | c_divide(c_times(X49,X26,X50),X26,X50) = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_810]) ).

fof(c_0_3013_3014,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(c_divide(X27,X49,X50),X49,X50) = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_811]) ).

fof(c_0_3014_3015,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(X49,c_divide(X27,X49,X50),X50) = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_812]) ).

fof(c_0_3015_3016,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_1,c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X60)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_813]) ).

fof(c_0_3016_3017,axiom,
    ! [X66,X53,X50] :
      ( c_List_Odrop(X53,X66,X50) != c_List_Olist_ONil
      | c_lessequals(c_Nat_Osize(X66,tc_List_Olist(X50)),X53,tc_nat) ),
    c_0_814 ).

fof(c_0_3017_3018,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_HOL_Oinverse(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_815]) ).

fof(c_0_3018_3019,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_0,c_HOL_Oinverse(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_816]) ).

fof(c_0_3019_3020,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_HOL_Oinverse(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_817]) ).

fof(c_0_3020_3021,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_0,c_HOL_Oinverse(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_818]) ).

fof(c_0_3021_3022,plain,
    ! [X5,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X5),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_819]) ).

fof(c_0_3022_3023,axiom,
    ! [X23,X53,X50] :
      ( X53 = c_0
      | c_List_Oset(c_List_Oreplicate(X53,X23,X50),X50) = c_insert(X23,c_emptyset,X50) ),
    c_0_820 ).

fof(c_0_3023_3024,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_uminus(X49,X50),c_uminus(X27,X50),X50) = c_divide(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_821]) ).

fof(c_0_3024_3025,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X21,X52,X50)
      | c_in(X52,c_SetInterval_OatLeast(X21,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_822]) ).

fof(c_0_3025_3026,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_lessequals(X52,X21,X50)
      | c_in(X52,c_SetInterval_OatMost(X21,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_823]) ).

fof(c_0_3026_3027,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X21,X52,X50)
      | c_in(X52,c_SetInterval_OgreaterThan(X21,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_824]) ).

fof(c_0_3027_3028,plain,
    ! [X21,X52,X50] :
      ( ~ class_Orderings_Oord(X50)
      | ~ c_less(X52,X21,X50)
      | c_in(X52,c_SetInterval_OlessThan(X21,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_825]) ).

fof(c_0_3028_3029,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Oanalz(X29),c_Message_Oanalz(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Oanalz(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_826]) ).

fof(c_0_3029_3030,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Oparts(X29),c_Message_Oparts(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Oparts(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_827]) ).

fof(c_0_3030_3031,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(c_Message_Osynth(X29),c_Message_Osynth(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(X29,c_Message_Osynth(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_828]) ).

fof(c_0_3031_3032,plain,
    ! [X55,X52] :
      ( ~ c_less(X52,X55,tc_nat)
      | c_List_Olast(c_List_Oupt(X52,X55),tc_nat) = c_minus(X55,c_1,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_829]) ).

fof(c_0_3032_3033,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Datatype__Universe_OLeaf(X23,X50,X51) != c_Datatype__Universe_OLeaf(X25,X50,X51)
      | X23 = X25 ),
    c_0_830 ).

fof(c_0_3033_3034,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Datatype__Universe_ONumb(X23,X50,X51) != c_Datatype__Universe_ONumb(X25,X50,X51)
      | X23 = X25 ),
    c_0_831 ).

fof(c_0_3034_3035,axiom,
    ! [X27,X49,X51,X50] :
      ( c_Datatype__Universe_OAtom(X49,X50,X51) != c_Datatype__Universe_OAtom(X27,X50,X51)
      | X49 = X27 ),
    c_0_832 ).

fof(c_0_3035_3036,axiom,
    ! [X30,X85,X51,X50] :
      ( c_Datatype__Universe_OIn0(X85,X50,X51) != c_Datatype__Universe_OIn0(X30,X50,X51)
      | X85 = X30 ),
    c_0_833 ).

fof(c_0_3036_3037,axiom,
    ! [X30,X85,X51,X50] :
      ( c_Datatype__Universe_OIn1(X85,X50,X51) != c_Datatype__Universe_OIn1(X30,X50,X51)
      | X85 = X30 ),
    c_0_834 ).

fof(c_0_3037_3038,axiom,
    ! [X69,X65,X66,X50] :
      ( c_append(X65,X66,X50) != c_append(X69,X66,X50)
      | X65 = X69 ),
    c_0_835 ).

fof(c_0_3038_3039,axiom,
    ! [X73,X74,X59,X49,X50] :
      ( c_List_Olist_OCons(X49,X74,X50) != c_List_Olist_OCons(X59,X73,X50)
      | X49 = X59 ),
    c_0_836 ).

fof(c_0_3039_3040,axiom,
    ! [X73,X74,X59,X49,X50] :
      ( c_List_Olist_OCons(X49,X74,X50) != c_List_Olist_OCons(X59,X73,X50)
      | X74 = X73 ),
    c_0_837 ).

fof(c_0_3040_3041,axiom,
    ! [X69,X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_append(X66,X69,X50)
      | X65 = X69 ),
    c_0_838 ).

fof(c_0_3041_3042,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_839]) ).

fof(c_0_3042_3043,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Sum__Type_OInl(X23,X50,X51) != c_Sum__Type_OInl(X25,X50,X51)
      | X23 = X25 ),
    c_0_840 ).

fof(c_0_3043_3044,axiom,
    ! [X25,X23,X51,X50] :
      ( c_Sum__Type_OInr(X23,X51,X50) != c_Sum__Type_OInr(X25,X51,X50)
      | X23 = X25 ),
    c_0_841 ).

fof(c_0_3044_3045,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X40 = X39 ),
    c_0_842 ).

fof(c_0_3045_3046,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X38 = X37 ),
    c_0_843 ).

fof(c_0_3046_3047,axiom,
    ! [X33,X34,X37,X38,X39,X40] :
      ( c_Event_Oevent_OSays(X40,X38,X34) != c_Event_Oevent_OSays(X39,X37,X33)
      | X34 = X33 ),
    c_0_844 ).

fof(c_0_3047_3048,plain,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,c_uminus(X60,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_845]) ).

fof(c_0_3048_3049,plain,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(c_uminus(X62,tc_IntDef_Oint),X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_846]) ).

fof(c_0_3049_3050,axiom,
    ! [X63,X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X63),tc_nat) ),
    c_0_847 ).

fof(c_0_3050_3051,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oanalz(c_Message_Oanalz(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_848]) ).

fof(c_0_3051_3052,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oparts(c_Message_Oparts(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_849]) ).

fof(c_0_3052_3053,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(c_Message_Osynth(X22)),tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_850]) ).

fof(c_0_3053_3054,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_times(c_0,X27,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_851]) ).

fof(c_0_3054_3055,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(c_0,X49,X50),c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_852]) ).

fof(c_0_3055_3056,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_times(X27,c_0,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_853]) ).

fof(c_0_3056_3057,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_times(X49,c_0,X50),c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_854]) ).

fof(c_0_3057_3058,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_divide(X27,c_0,X50),c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_855]) ).

fof(c_0_3058_3059,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_0,c_divide(X27,c_0,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_856]) ).

fof(c_0_3059_3060,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X27,c_emptyset,X50) != c_insert(X49,X12,X50)
      | X49 = X27 ),
    c_0_857 ).

fof(c_0_3060_3061,axiom,
    ! [X27,X49,X12,X50] :
      ( c_insert(X49,X12,X50) != c_insert(X27,c_emptyset,X50)
      | X49 = X27 ),
    c_0_858 ).

fof(c_0_3061_3062,plain,
    ! [X32,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X32),X22,tc_Message_Omsg)
      | c_in(c_Message_OinvKey(X32),c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_859]) ).

fof(c_0_3062_3063,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Oanalz(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oanalz(X29),c_Message_Oanalz(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_860]) ).

fof(c_0_3063_3064,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Oparts(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X29),c_Message_Oparts(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_861]) ).

fof(c_0_3064_3065,plain,
    ! [X22,X29] :
      ( ~ c_lessequals(X29,c_Message_Osynth(X22),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Osynth(X29),c_Message_Osynth(X22),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[c_0_862]) ).

fof(c_0_3065_3066,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_in(X49,c_IntDef_OInts,X50)
      | c_in(c_uminus(X49,X50),c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_863]) ).

fof(c_0_3066_3067,axiom,
    ! [X53,X54,X21] :
      ( c_times(X21,X54,tc_nat) != c_times(X21,X53,tc_nat)
      | X54 = X53
      | X21 = c_0 ),
    c_0_864 ).

fof(c_0_3067_3068,axiom,
    ! [X53,X54,X21] :
      ( c_times(X54,X21,tc_nat) != c_times(X53,X21,tc_nat)
      | X54 = X53
      | X21 = c_0 ),
    c_0_865 ).

fof(c_0_3068_3069,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_lessequals(c_0,c_uminus(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_866]) ).

fof(c_0_3069_3070,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(X49,c_0,X50)
      | c_less(c_0,c_uminus(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_867]) ).

fof(c_0_3070_3071,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_lessequals(c_0,X49,X50)
      | c_lessequals(c_uminus(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_868]) ).

fof(c_0_3071_3072,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X50)
      | ~ c_less(c_0,X49,X50)
      | c_less(c_uminus(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_869]) ).

fof(c_0_3072_3073,plain,
    ! [X23,X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X60,X50),X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X60,X23),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_870]) ).

fof(c_0_3073_3074,plain,
    ! [X23,X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_Parity_Oeven(X53,tc_nat)
      | c_Nat_Opower(c_uminus(X23,X50),X53,X50) = c_Nat_Opower(X23,X53,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_871]) ).

fof(c_0_3074_3075,axiom,
    ! [X27,X49,X50] :
      ( c_insert(X49,c_emptyset,X50) != c_insert(X27,c_emptyset,X50)
      | X49 = X27 ),
    c_0_872 ).

fof(c_0_3075_3076,axiom,
    ! [X53,X54,X21] :
      ( c_plus(X21,X54,tc_nat) != c_plus(X21,X53,tc_nat)
      | X54 = X53 ),
    c_0_873 ).

fof(c_0_3076_3077,axiom,
    ! [X53,X54,X21] :
      ( c_plus(X54,X21,tc_nat) != c_plus(X53,X21,tc_nat)
      | X54 = X53 ),
    c_0_874 ).

fof(c_0_3077_3078,plain,
    ! [X25,X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_875]) ).

fof(c_0_3078_3079,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oring(X50)
      | c_times(c_uminus(X49,X50),c_uminus(X27,X50),X50) = c_times(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_876]) ).

fof(c_0_3079_3080,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_lessequals(c_0,c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_877]) ).

fof(c_0_3080_3081,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_878]) ).

fof(c_0_3081_3082,plain,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_lessequals(X60,c_0,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X60,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_879]) ).

fof(c_0_3082_3083,plain,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(X60,c_0,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X60,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_880]) ).

fof(c_0_3083_3084,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_881]) ).

fof(c_0_3084_3085,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_882]) ).

fof(c_0_3085_3086,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_883]) ).

fof(c_0_3086_3087,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) != c_Numeral_Onumber__of(X63,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_884]) ).

fof(c_0_3087_3088,plain,
    ! [X25] :
      ( ~ c_in(X25,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X25)) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_885]) ).

fof(c_0_3088_3089,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_1,c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X60),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_886]) ).

fof(c_0_3089_3090,plain,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_1,X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_887]) ).

fof(c_0_3090_3091,plain,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_minus(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,c_Numeral_Obin__minus(X60)),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_888]) ).

fof(c_0_3091_3092,plain,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X61),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_889]) ).

fof(c_0_3092_3093,plain,
    ! [X8,X22] :
      ( ~ c_in(X8,c_Message_OkeysFor(X22),tc_nat)
      | c_in(X8,c_Message_OkeysFor(c_Message_Osynth(X22)),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_890]) ).

fof(c_0_3093_3094,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X60,X50),X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB0),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_891]) ).

fof(c_0_3094_3095,axiom,
    ! [X54,X99] :
      ( c_Divides_Oop_Amod(X54,X99,tc_nat) != c_0
      | X54 = c_times(X99,c_Main_Omod__eq__0D__dest__1(X99,X54),tc_nat) ),
    c_0_892 ).

fof(c_0_3095_3096,axiom,
    ! [X54,X99] :
      ( c_Divides_Oop_Amod(X54,X99,tc_IntDef_Oint) != c_0
      | X54 = c_times(X99,c_Main_Ozmod__eq__0D__dest__1(X99,X54),tc_IntDef_Oint) ),
    c_0_893 ).

fof(c_0_3096_3097,plain,
    ! [X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X8),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_894]) ).

fof(c_0_3097_3098,plain,
    ! [X30,X22] :
      ( ~ c_in(c_Message_Omsg_ONonce(X30),c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X30),X22,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_895]) ).

fof(c_0_3098_3099,plain,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X62,c_uminus(X60,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_896]) ).

fof(c_0_3099_3100,plain,
    ! [X62,X60] :
      ( ~ c_Divides_Oop_Advd(X62,X60,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(c_uminus(X62,tc_IntDef_Oint),X60,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_897]) ).

fof(c_0_3100_3101,axiom,
    ! [X66,X23,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_OCons(X23,c_List_Olist_ONil,X50)
      | X66 = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    c_0_898 ).

fof(c_0_3101_3102,axiom,
    ! [X66,X23,X50] :
      ( c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) != c_List_Orev(X66,X50)
      | X66 = c_List_Olist_OCons(X23,c_List_Olist_ONil,X50) ),
    c_0_899 ).

fof(c_0_3102_3103,axiom,
    ! [X25,X27] :
      ( X27 = c_0
      | c_div(c_times(X25,X27,tc_IntDef_Oint),X27,tc_IntDef_Oint) = X25 ),
    c_0_900 ).

fof(c_0_3103_3104,axiom,
    ! [X25,X27] :
      ( X27 = c_0
      | c_div(c_times(X27,X25,tc_IntDef_Oint),X27,tc_IntDef_Oint) = X25 ),
    c_0_901 ).

fof(c_0_3104_3105,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_less(X12,X10,tc_set(X50))
      | X12 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_902]) ).

fof(c_0_3105_3106,plain,
    ! [X8,X22] :
      ( ~ c_in(c_Message_Omsg_OKey(X8),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X8),c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_903]) ).

fof(c_0_3106_3107,plain,
    ! [X30,X22] :
      ( ~ c_in(c_Message_Omsg_ONonce(X30),X22,tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X30),c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_904]) ).

fof(c_0_3107_3108,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X7),c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_905]) ).

fof(c_0_3108_3109,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_906]) ).

fof(c_0_3109_3110,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_907]) ).

fof(c_0_3110_3111,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_908]) ).

fof(c_0_3111_3112,axiom,
    ! [X23,X53] :
      ( c_less(c_0,c_Nat_Opower(X23,X53,tc_nat),tc_nat)
      | X23 = c_0 ),
    c_0_909 ).

fof(c_0_3112_3113,plain,
    ! [X10,X12,X50] :
      ( ~ c_less(X12,X10,tc_set(X50))
      | c_lessequals(X12,X10,tc_set(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_910]) ).

fof(c_0_3113_3114,axiom,
    ! [X10,X12,X50] :
      ( c_minus(X12,X10,tc_set(X50)) != c_emptyset
      | c_lessequals(X12,X10,tc_set(X50)) ),
    c_0_911 ).

fof(c_0_3114_3115,plain,
    ! [X10,X12,X50] :
      ( ~ c_lessequals(X12,X10,tc_set(X50))
      | c_minus(X12,X10,tc_set(X50)) = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_912]) ).

fof(c_0_3115_3116,plain,
    ! [X25,X50] :
      ( ~ c_lessequals(c_Nat_Osize(X25,tc_List_Olist(X50)),c_1,tc_nat)
      | c_List_Orotate1(X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_913]) ).

fof(c_0_3116_3117,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_lessequals(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_914]) ).

fof(c_0_3117_3118,plain,
    ! [X53,X54] :
      ( ~ c_less(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_915]) ).

fof(c_0_3118_3119,plain,
    ! [X62,X60] :
      ( ~ c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat)
      | c_less(X60,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_916]) ).

fof(c_0_3119_3120,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(c_Suc(X53),c_Suc(X54),tc_nat)
      | c_lessequals(X53,X54,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_917]) ).

fof(c_0_3120_3121,plain,
    ! [X53,X54] :
      ( ~ c_less(c_Suc(X54),c_Suc(X53),tc_nat)
      | c_less(X54,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_918]) ).

fof(c_0_3121_3122,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_919]) ).

fof(c_0_3122_3123,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_920]) ).

fof(c_0_3123_3124,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X61,tc_nat),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_921]) ).

fof(c_0_3124_3125,plain,
    ! [X62,X60] :
      ( ~ c_less(c_IntDef_Onat(X60),c_IntDef_Onat(X62),tc_nat)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_922]) ).

fof(c_0_3125_3126,plain,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X61,X60),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_923]) ).

fof(c_0_3126_3127,plain,
    ! [X60,X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(X61,X50),c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X61,X60),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_924]) ).

fof(c_0_3127_3128,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_925]) ).

fof(c_0_3128_3129,plain,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,X53,X50) != c_0
      | c_less(c_0,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_926]) ).

fof(c_0_3129_3130,plain,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X61),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_927]) ).

fof(c_0_3130_3131,plain,
    ! [X62] :
      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X62),tc_nat)
      | c_less(c_1,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_928]) ).

fof(c_0_3131_3132,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X60,c_Numeral_Obit_OB1),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_929]) ).

fof(c_0_3132_3133,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_lessequals(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_930]) ).

fof(c_0_3133_3134,plain,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_IntDef_Oint(X54),c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_931]) ).

fof(c_0_3134_3135,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(X53,X54,tc_nat)
      | c_lessequals(c_Suc(X53),c_Suc(X54),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_932]) ).

fof(c_0_3135_3136,plain,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_less(c_Suc(X54),c_Suc(X53),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_933]) ).

fof(c_0_3136_3137,plain,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_less(c_0,X53,tc_nat)
      | c_Nat_Opower(c_0,X53,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_934]) ).

fof(c_0_3137_3138,plain,
    ! [X53,X54,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_less(X53,X54,X50)
      | c_SetInterval_OatLeastAtMost(X54,X53,X50) = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_935]) ).

fof(c_0_3138_3139,plain,
    ! [X53,X54,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X53,X54,X50)
      | c_SetInterval_OatLeastLessThan(X54,X53,X50) = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_936]) ).

fof(c_0_3139_3140,plain,
    ! [X57,X21,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_lessequals(X57,X21,X50)
      | c_SetInterval_OgreaterThanAtMost(X21,X57,X50) = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_937]) ).

fof(c_0_3140_3141,axiom,
    ! [X26,X12,X50] :
      ( c_in(X26,X12,X50)
      | c_in(X26,c_uminus(X12,tc_set(X50)),X50) ),
    c_0_938 ).

fof(c_0_3141_3142,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_less(c_Numeral_Onumber__of(X23,X50),c_0,X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X23,X50),X50) = c_Numeral_Onumber__of(X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_939]) ).

fof(c_0_3142_3143,plain,
    ! [X62] :
      ( ~ c_less(c_1,X62,tc_IntDef_Oint)
      | c_less(c_Suc(c_0),c_IntDef_Onat(X62),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_940]) ).

fof(c_0_3143_3144,plain,
    ! [X66,X52,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Odrop(X52,X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_941]) ).

fof(c_0_3144_3145,plain,
    ! [X66,X23,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Oremove1(X23,X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_942]) ).

fof(c_0_3145_3146,plain,
    ! [X66,X53,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orotate(X53,X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_943]) ).

fof(c_0_3146_3147,plain,
    ! [X66,X70,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Osublist(X66,X70,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_944]) ).

fof(c_0_3147_3148,plain,
    ! [X66,X52,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Otake(X52,X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_945]) ).

fof(c_0_3148_3149,plain,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X48,X50)
      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X48,X50,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_946]) ).

fof(c_0_3149_3150,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Oparts(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_947]) ).

fof(c_0_3150_3151,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_948]) ).

fof(c_0_3151_3152,plain,
    ! [X7,X22] :
      ( ~ c_in(X7,X22,tc_Message_Omsg)
      | c_in(X7,c_Message_Osynth(X22),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[c_0_949]) ).

fof(c_0_3152_3153,plain,
    ! [X53] :
      ( ~ c_less(c_0,c_IntDef_Oint(X53),tc_IntDef_Oint)
      | c_less(c_0,X53,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_950]) ).

fof(c_0_3153_3154,plain,
    ! [X62] :
      ( ~ c_less(c_0,c_IntDef_Onat(X62),tc_nat)
      | c_less(c_0,X62,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_951]) ).

fof(c_0_3154_3155,plain,
    ! [X8] :
      ( ~ c_in(c_Message_OinvKey(X8),c_Message_OsymKeys,tc_nat)
      | c_in(X8,c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_952]) ).

fof(c_0_3155_3156,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_953 ).

fof(c_0_3156_3157,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_plus(X23,X25,tc_nat),tc_nat) ),
    c_0_954 ).

fof(c_0_3157_3158,axiom,
    ! [X25,X23] :
      ( c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_955 ).

fof(c_0_3158_3159,plain,
    ! [X86,X23,X50] :
      ( ~ c_in(X23,c_Datatype_Oo2s(X86,X50),X50)
      | X86 = c_Datatype_Ooption_OSome(X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_956]) ).

fof(c_0_3159_3160,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,c_uminus(X27,X50),X50) = c_plus(X49,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_957]) ).

fof(c_0_3160_3161,plain,
    ! [X25,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_0 != c_Numeral_Onumber__of(X25,X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X25)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_958]) ).

fof(c_0_3161_3162,axiom,
    ! [X76,X50] :
      ( c_in(c_Main_ONil__eq__concat__conv__1(X76,X50),c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Olist_ONil = c_List_Oconcat(X76,X50) ),
    c_0_959 ).

fof(c_0_3162_3163,axiom,
    ! [X76,X50] :
      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X76,X50),c_List_Oset(X76,tc_List_Olist(X50)),tc_List_Olist(X50))
      | c_List_Oconcat(X76,X50) = c_List_Olist_ONil ),
    c_0_960 ).

fof(c_0_3163_3164,plain,
    ! [X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_less(c_0,c_IntDef_Oint(X53),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_961]) ).

fof(c_0_3164_3165,plain,
    ! [X62] :
      ( ~ c_less(c_0,X62,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Onat(X62),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_962]) ).

fof(c_0_3165_3166,plain,
    ! [X8] :
      ( ~ c_in(X8,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_OinvKey(X8),c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_963]) ).

fof(c_0_3166_3167,plain,
    ! [X60,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,c_Numeral_Onumber__of(X60,tc_nat),X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_964]) ).

fof(c_0_3167_3168,plain,
    ! [X25,X53] :
      ( ~ c_less(X25,X53,tc_nat)
      | c_Divides_Oop_Amod(X25,X53,tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_965]) ).

fof(c_0_3168_3169,plain,
    ! [X63] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X63,tc_nat),tc_nat) = c_Suc(c_0) ),
    inference(fof_simplification,[status(thm)],[c_0_966]) ).

fof(c_0_3169_3170,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_967]) ).

fof(c_0_3170_3171,plain,
    ! [X63,X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_Numeral_Onumber__of(X63,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_968]) ).

fof(c_0_3171_3172,plain,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)),tc_IntDef_Oint)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_969]) ).

fof(c_0_3172_3173,plain,
    ! [X53,X54] :
      ( ~ c_less(X54,X53,tc_nat)
      | c_div(X54,X53,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_970]) ).

fof(c_0_3173_3174,axiom,
    ! [X53,X54] :
      ( c_minus(X54,X53,tc_nat) != c_0
      | c_lessequals(X54,X53,tc_nat) ),
    c_0_971 ).

fof(c_0_3174_3175,plain,
    ! [X53,X54] :
      ( ~ c_lessequals(X54,X53,tc_nat)
      | c_minus(X54,X53,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_972]) ).

fof(c_0_3175_3176,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_973]) ).

fof(c_0_3176_3177,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_nat)
      | c_Parity_Oeven(c_times(X23,X25,tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_974]) ).

fof(c_0_3177_3178,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_975]) ).

fof(c_0_3178_3179,plain,
    ! [X25,X23] :
      ( ~ c_Parity_Oeven(X25,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X23,X25,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_976]) ).

fof(c_0_3179_3180,axiom,
    ! [X65,X66,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Ohd(c_append(X66,X65,X50),X50) = c_List_Ohd(X66,X50) ),
    c_0_977 ).

fof(c_0_3180_3181,axiom,
    ! [X66,X23,X50] :
      ( X66 = c_List_Olist_ONil
      | c_List_Olast(c_List_Olist_OCons(X23,X66,X50),X50) = c_List_Olast(X66,X50) ),
    c_0_978 ).

fof(c_0_3181_3182,axiom,
    ! [X65,X66,X50] :
      ( X65 = c_List_Olist_ONil
      | c_List_Olast(c_append(X66,X65,X50),X50) = c_List_Olast(X65,X50) ),
    c_0_979 ).

fof(c_0_3182_3183,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Ojoin(X49,c_uminus(X49,X50),X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_980]) ).

fof(c_0_3183_3184,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Omeet(X49,c_uminus(X49,X50),X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_981]) ).

fof(c_0_3184_3185,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_plus(c_1,c_1,X50) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_982]) ).

fof(c_0_3185_3186,plain,
    ! [X53] :
      ( ~ c_less(c_0,X53,tc_nat)
      | c_div(X53,X53,tc_nat) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_983]) ).

fof(c_0_3186_3187,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(X23,X50) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X23,c_Numeral_Obin__minus(c_Numeral_OPls)),X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_984]) ).

fof(c_0_3187_3188,plain,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_NatArith_Oof__nat(X54,X50),c_0,X50)
      | X54 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_985]) ).

fof(c_0_3188_3189,plain,
    ! [X60,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_HOL_Oinverse(c_Numeral_Onumber__of(X60,X51),X51) = c_divide(c_1,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_986]) ).

fof(c_0_3189_3190,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(c_HOL_Oabs(X49,X50),c_0,X50)
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_987]) ).

fof(c_0_3190_3191,plain,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_NatArith_Oof__nat(X54,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_988]) ).

fof(c_0_3191_3192,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_less(c_HOL_Oabs(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_989]) ).

fof(c_0_3192_3193,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_less(c_0,c_HOL_Oabs(c_0,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_990]) ).

fof(c_0_3193_3194,plain,
    ! [X25,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_Finite__Set_OMax(c_insert(X25,c_emptyset,X50),X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_991]) ).

fof(c_0_3194_3195,plain,
    ! [X25,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_Finite__Set_OMin(c_insert(X25,c_emptyset,X50),X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_992]) ).

fof(c_0_3195_3196,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) != c_0
      | c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_993]) ).

fof(c_0_3196_3197,plain,
    ! [X60,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_Numeral_Onumber__of(X60,X51) != c_0
      | c_0 = c_divide(X27,c_Numeral_Onumber__of(X60,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_994]) ).

fof(c_0_3197_3198,axiom,
    ! [X25,X53,X50] :
      ( X53 = c_0
      | c_List_Ohd(c_List_Oreplicate(X53,X25,X50),X50) = X25 ),
    c_0_995 ).

fof(c_0_3198_3199,plain,
    ! [X25,X55] :
      ( ~ c_less(X25,X55,tc_nat)
      | c_List_Ohd(c_List_Oupt(X25,X55),tc_nat) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_996]) ).

fof(c_0_3199_3200,axiom,
    ! [X25,X53,X50] :
      ( X53 = c_0
      | c_List_Olast(c_List_Oreplicate(X53,X25,X50),X50) = X25 ),
    c_0_997 ).

fof(c_0_3200_3201,plain,
    ! [X61] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_998]) ).

fof(c_0_3201_3202,plain,
    ! [X61,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_Numeral_Onumber__of(X61,X51) = c_uminus(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_999]) ).

fof(c_0_3202_3203,plain,
    ! [X61,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(c_uminus(c_Numeral_Onumber__of(X61,X51),X51),X51) = c_Numeral_Onumber__of(X61,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_1000]) ).

fof(c_0_3203_3204,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,X49,X50) = c_divide(c_0,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1001]) ).

fof(c_0_3204_3205,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_0,X50) = c_divide(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1002]) ).

fof(c_0_3205_3206,plain,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_Inter(X12,X50) != c_UNIV
      | X32 = c_UNIV ),
    inference(fof_simplification,[status(thm)],[c_0_1003]) ).

fof(c_0_3206_3207,plain,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_UNIV != c_Inter(X12,X50)
      | X32 = c_UNIV ),
    inference(fof_simplification,[status(thm)],[c_0_1004]) ).

fof(c_0_3207_3208,plain,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_Union(X12,X50) != c_emptyset
      | X32 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_1005]) ).

fof(c_0_3208_3209,plain,
    ! [X32,X12,X50] :
      ( ~ c_in(X32,X12,tc_set(X50))
      | c_emptyset != c_Union(X12,X50)
      | X32 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_1006]) ).

fof(c_0_3209_3210,axiom,
    ! [X66,X50] :
      ( c_Nat_Osize(c_List_Oremdups(X66,X50),tc_List_Olist(X50)) != c_Nat_Osize(X66,tc_List_Olist(X50))
      | c_List_Oremdups(X66,X50) = X66 ),
    c_0_1007 ).

fof(c_0_3210_3211,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(X49,c_0,X50)
      | c_HOL_Oabs(X49,X50) = c_uminus(X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1008]) ).

fof(c_0_3211_3212,plain,
    ! [X62] :
      ( ~ c_less(c_HOL_Oabs(X62,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
      | X62 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1009]) ).

fof(c_0_3212_3213,plain,
    ! [X12,X50] :
      ( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(X12,X50) != c_0
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_1010]) ).

fof(c_0_3213_3214,plain,
    ! [X23,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X50),X23,X50) = c_uminus(c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1011]) ).

fof(c_0_3214_3215,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1012]) ).

fof(c_0_3215_3216,plain,
    ! [X49,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_SetInterval_OatLeastAtMost(X49,X49,X50) = c_insert(X49,c_emptyset,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1013]) ).

fof(c_0_3216_3217,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(c_0,X49,X50) = c_times(c_0,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1014]) ).

fof(c_0_3217_3218,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_times(X49,c_0,X50) = c_times(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1015]) ).

fof(c_0_3218_3219,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X23,c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_uminus(X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1016]) ).

fof(c_0_3219_3220,plain,
    ! [X23,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X50),X23,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1017]) ).

fof(c_0_3220_3221,plain,
    ! [X23,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Power_Orecpower(X50)
      | ~ c_Parity_Oeven(X23,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X23,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1018]) ).

fof(c_0_3221_3222,axiom,
    ! [X25,X50] :
      ( X25 = c_List_Olist_ONil
      | c_List_Olist_OCons(c_List_Ohd(X25,X50),c_List_Otl(X25,X50),X50) = X25 ),
    c_0_1019 ).

fof(c_0_3222_3223,axiom,
    ! [X66,X50] :
      ( c_in(c_List_Ohd(X66,X50),c_List_Oset(X66,X50),X50)
      | X66 = c_List_Olist_ONil ),
    c_0_1020 ).

fof(c_0_3223_3224,axiom,
    ! [X72,X50] :
      ( c_in(c_List_Olast(X72,X50),c_List_Oset(X72,X50),X50)
      | X72 = c_List_Olist_ONil ),
    c_0_1021 ).

fof(c_0_3224_3225,plain,
    ! [X54,X64] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X64)
      | c_NatArith_Oof__nat(c_Suc(X54),X64) = c_plus(c_NatArith_Oof__nat(X54,X64),c_1,X64) ),
    inference(fof_simplification,[status(thm)],[c_0_1022]) ).

fof(c_0_3225_3226,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | ~ c_lessequals(c_0,X25,X50)
      | c_HOL_Oabs(X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1023]) ).

fof(c_0_3226_3227,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X25,c_0,X50)
      | c_OrderedGroup_Onprt(X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1024]) ).

fof(c_0_3227_3228,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X25,X50)
      | c_OrderedGroup_Opprt(X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1025]) ).

fof(c_0_3228_3229,plain,
    ! [X23,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(c_0,X23,X50)
      | c_OrderedGroup_Onprt(X23,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1026]) ).

fof(c_0_3229_3230,plain,
    ! [X23,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | ~ c_lessequals(X23,c_0,X50)
      | c_OrderedGroup_Opprt(X23,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1027]) ).

fof(c_0_3230_3231,plain,
    ! [X50] :
      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(c_emptyset,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1028]) ).

fof(c_0_3231_3232,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Numeral_Onumber__of(X60,tc_nat) != c_0
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1029]) ).

fof(c_0_3232_3233,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X27,X50) != c_0
      | X27 = c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1030]) ).

fof(c_0_3233_3234,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,X27,X50) != c_1
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1031]) ).

fof(c_0_3234_3235,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(X27,X49,X50) != c_1
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1032]) ).

fof(c_0_3235_3236,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_1 != c_divide(X27,X49,X50)
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1033]) ).

fof(c_0_3236_3237,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_1 != c_divide(X49,X27,X50)
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1034]) ).

fof(c_0_3237_3238,plain,
    ! [X53,X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_Nat_Opower(X49,X53,X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1035]) ).

fof(c_0_3238_3239,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OInter__UNIV__conv__1__1(X12,X50),X12,tc_set(X50))
      | c_Inter(X12,X50) = c_UNIV ),
    c_0_1036 ).

fof(c_0_3239_3240,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OInter__UNIV__conv__2__1(X12,X50),X12,tc_set(X50))
      | c_UNIV = c_Inter(X12,X50) ),
    c_0_1037 ).

fof(c_0_3240_3241,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_OUnion__empty__conv__1(X12,X50),X12,tc_set(X50))
      | c_Union(X12,X50) = c_emptyset ),
    c_0_1038 ).

fof(c_0_3241_3242,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_Oempty__Union__conv__1(X12,X50),X12,tc_set(X50))
      | c_emptyset = c_Union(X12,X50) ),
    c_0_1039 ).

fof(c_0_3242_3243,axiom,
    ! [X61,X54] :
      ( c_IntDef_Oint(X54) != c_Numeral_Onumber__of(X61,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_1040 ).

fof(c_0_3243_3244,plain,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X61,tc_nat),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1041]) ).

fof(c_0_3244_3245,plain,
    ! [X61,X27,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_Numeral_Onumber__of(X61,X51) != c_uminus(X27,X51)
      | X27 = c_uminus(c_Numeral_Onumber__of(X61,X51),X51) ),
    inference(fof_simplification,[status(thm)],[c_0_1042]) ).

fof(c_0_3245_3246,plain,
    ! [X61,X49,X51] :
      ( ~ class_Numeral_Onumber(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(X49,X51) != c_Numeral_Onumber__of(X61,X51)
      | c_uminus(c_Numeral_Onumber__of(X61,X51),X51) = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_1043]) ).

fof(c_0_3246_3247,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(c_1,X49,X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1044]) ).

fof(c_0_3247_3248,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_0 != c_divide(c_1,X49,X50)
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1045]) ).

fof(c_0_3248_3249,plain,
    ! [X62,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X62,X50) = c_uminus(X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1046]) ).

fof(c_0_3249_3250,plain,
    ! [X62,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_times(X62,c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_uminus(X62,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1047]) ).

fof(c_0_3250_3251,plain,
    ! [X55,X52] :
      ( ~ c_lessequals(X55,X52,tc_nat)
      | c_List_Oupt(X52,X55) = c_List_Olist_ONil ),
    inference(fof_simplification,[status(thm)],[c_0_1048]) ).

fof(c_0_3251_3252,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(X27,c_0,X50) != c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1049]) ).

fof(c_0_3252_3253,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_1 != c_divide(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1050]) ).

fof(c_0_3253_3254,plain,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 != c_times(X26,X27,X50)
      | X26 = c_0
      | X27 = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1051]) ).

fof(c_0_3254_3255,plain,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_times(X26,X49,X50) != X26
      | X26 = c_0
      | X49 = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1052]) ).

fof(c_0_3255_3256,plain,
    ! [X26,X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 != c_times(X27,X26,X50)
      | X26 = c_0
      | X27 = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1053]) ).

fof(c_0_3256_3257,plain,
    ! [X26,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_times(X49,X26,X50) != X26
      | X26 = c_0
      | X49 = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1054]) ).

fof(c_0_3257_3258,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X50)
      | c_times(X49,X27,X50) != c_0
      | X27 = c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1055]) ).

fof(c_0_3258_3259,plain,
    ! [X60,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X60,tc_nat),X50) = c_0
      | c_Numeral_Onumber__of(X60,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1056]) ).

fof(c_0_3259_3260,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,X27,X50) != c_0
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1057]) ).

fof(c_0_3260_3261,plain,
    ! [X12,X50] :
      ( ~ c_lessequals(X12,c_emptyset,tc_set(X50))
      | X12 = c_emptyset ),
    inference(fof_simplification,[status(thm)],[c_0_1058]) ).

fof(c_0_3261_3262,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_HOL_Oabs(c_HOL_Oinverse(X49,X50),X50) = c_HOL_Oinverse(c_HOL_Oabs(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1059]) ).

fof(c_0_3262_3263,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_uminus(X49,X50),X50) = c_uminus(c_HOL_Oinverse(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1060]) ).

fof(c_0_3263_3264,plain,
    ! [X61,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X61,tc_nat),X50) = c_Numeral_Onumber__of(X61,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1061]) ).

fof(c_0_3264_3265,plain,
    ! [X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | ~ c_less(X23,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1062]) ).

fof(c_0_3265_3266,plain,
    ! [X62] :
      ( ~ c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X62)) = X62 ),
    inference(fof_simplification,[status(thm)],[c_0_1063]) ).

fof(c_0_3266_3267,plain,
    ! [X53] :
      ( ~ c_lessequals(c_IntDef_Oint(X53),c_0,tc_IntDef_Oint)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1064]) ).

fof(c_0_3267_3268,plain,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(X54,c_Suc(c_0),tc_nat)
      | X54 = c_Suc(c_0) ),
    inference(fof_simplification,[status(thm)],[c_0_1065]) ).

fof(c_0_3268_3269,axiom,
    ! [X61] :
      ( c_0 != c_Numeral_Onumber__of(X61,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_1066 ).

fof(c_0_3269_3270,axiom,
    ! [X61] :
      ( c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_1067 ).

fof(c_0_3270_3271,axiom,
    ! [X66,X50] :
      ( c_less(c_0,c_Nat_Osize(X66,tc_List_Olist(X50)),tc_nat)
      | X66 = c_List_Olist_ONil ),
    c_0_1068 ).

fof(c_0_3271_3272,axiom,
    ! [X66,X50] :
      ( c_List_Oremdups(X66,X50) != X66
      | c_Nat_Osize(c_List_Oremdups(X66,X50),tc_List_Olist(X50)) = c_Nat_Osize(X66,tc_List_Olist(X50)) ),
    c_0_1069 ).

fof(c_0_3272_3273,plain,
    ! [X53] :
      ( ~ c_less(X53,c_Suc(c_0),tc_nat)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1070]) ).

fof(c_0_3273_3274,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(c_HOL_Oinverse(X49,X50),X49,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1071]) ).

fof(c_0_3274_3275,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | X49 = c_0
      | c_times(X49,c_HOL_Oinverse(X49,X50),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1072]) ).

fof(c_0_3275_3276,axiom,
    ! [X66,X53,X50] :
      ( c_List_Otake(X53,X66,X50) != c_List_Olist_ONil
      | X53 = c_0
      | X66 = c_List_Olist_ONil ),
    c_0_1073 ).

fof(c_0_3276_3277,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != X65
      | X66 = c_List_Olist_ONil ),
    c_0_1074 ).

fof(c_0_3277_3278,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != X66
      | X65 = c_List_Olist_ONil ),
    c_0_1075 ).

fof(c_0_3278_3279,axiom,
    ! [X65,X66,X50] :
      ( X65 != c_append(X66,X65,X50)
      | X66 = c_List_Olist_ONil ),
    c_0_1076 ).

fof(c_0_3279_3280,axiom,
    ! [X65,X66,X50] :
      ( X66 != c_append(X66,X65,X50)
      | X65 = c_List_Olist_ONil ),
    c_0_1077 ).

fof(c_0_3280_3281,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_Suc(c_0)
      | X54 = c_1 ),
    c_0_1078 ).

fof(c_0_3281_3282,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_Suc(c_0)
      | X53 = c_1 ),
    c_0_1079 ).

fof(c_0_3282_3283,axiom,
    ! [X53,X54] :
      ( c_Suc(c_0) != c_times(X54,X53,tc_nat)
      | X54 = c_1 ),
    c_0_1080 ).

fof(c_0_3283_3284,axiom,
    ! [X53,X54] :
      ( c_Suc(c_0) != c_times(X54,X53,tc_nat)
      | X53 = c_1 ),
    c_0_1081 ).

fof(c_0_3284_3285,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_lessequals(c_1,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1082]) ).

fof(c_0_3285_3286,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | ~ c_less(c_1,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1083]) ).

fof(c_0_3286_3287,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_plus(c_uminus(X49,X50),X49,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1084]) ).

fof(c_0_3287_3288,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_plus(X49,c_uminus(X49,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1085]) ).

fof(c_0_3288_3289,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_less(c_0,c_HOL_Oabs(X49,X50),X50)
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1086]) ).

fof(c_0_3289_3290,axiom,
    ! [X48,X12,X50] :
      ( c_emptyset != c_Equiv__Relations_Oquotient(X12,X48,X50)
      | X12 = c_emptyset ),
    c_0_1087 ).

fof(c_0_3290_3291,axiom,
    ! [X48,X12,X50] :
      ( c_Equiv__Relations_Oquotient(X12,X48,X50) != c_emptyset
      | X12 = c_emptyset ),
    c_0_1088 ).

fof(c_0_3291_3292,axiom,
    ! [X65,X66,X50] :
      ( c_List_Olist_ONil != c_append(X66,X65,X50)
      | X66 = c_List_Olist_ONil ),
    c_0_1089 ).

fof(c_0_3292_3293,axiom,
    ! [X65,X66,X50] :
      ( c_List_Olist_ONil != c_append(X66,X65,X50)
      | X65 = c_List_Olist_ONil ),
    c_0_1090 ).

fof(c_0_3293_3294,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    c_0_1091 ).

fof(c_0_3294_3295,axiom,
    ! [X65,X66,X50] :
      ( c_append(X66,X65,X50) != c_List_Olist_ONil
      | X65 = c_List_Olist_ONil ),
    c_0_1092 ).

fof(c_0_3295_3296,axiom,
    ! [X66,X53,X50] :
      ( c_List_Orotate(X53,X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    c_0_1093 ).

fof(c_0_3296_3297,axiom,
    ! [X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_UNIV
      | X12 = c_UNIV ),
    c_0_1094 ).

fof(c_0_3297_3298,axiom,
    ! [X10,X12,X50] :
      ( c_inter(X12,X10,X50) != c_UNIV
      | X10 = c_UNIV ),
    c_0_1095 ).

fof(c_0_3298_3299,axiom,
    ! [X10,X12,X50] :
      ( c_union(X12,X10,X50) != c_emptyset
      | X12 = c_emptyset ),
    c_0_1096 ).

fof(c_0_3299_3300,axiom,
    ! [X10,X12,X50] :
      ( c_union(X12,X10,X50) != c_emptyset
      | X10 = c_emptyset ),
    c_0_1097 ).

fof(c_0_3300_3301,axiom,
    ! [X53,X54] :
      ( c_times(X54,X53,tc_nat) != c_0
      | X53 = c_0
      | X54 = c_0 ),
    c_0_1098 ).

fof(c_0_3301_3302,plain,
    ! [X25] :
      ( ~ c_in(X25,c_Message_OsymKeys,tc_nat)
      | c_Message_OinvKey(X25) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1099]) ).

fof(c_0_3302_3303,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_NatArith_Oof__nat(X53,X50),c_IntDef_ONats,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1100]) ).

fof(c_0_3303_3304,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_0,c_NatArith_Oof__nat(X53,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1101]) ).

fof(c_0_3304_3305,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_lessequals(c_0,c_HOL_Oabs(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1102]) ).

fof(c_0_3305_3306,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_lessequals(c_OrderedGroup_Onprt(X49,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1103]) ).

fof(c_0_3306_3307,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_lessequals(c_0,c_OrderedGroup_Opprt(X49,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1104]) ).

fof(c_0_3307_3308,plain,
    ! [X62] :
      ( ~ c_lessequals(X62,c_0,tc_IntDef_Oint)
      | c_IntDef_Onat(X62) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1105]) ).

fof(c_0_3308_3309,axiom,
    ! [X53,X54] :
      ( c_plus(X54,X53,tc_nat) != c_0
      | X54 = c_0 ),
    c_0_1106 ).

fof(c_0_3309_3310,axiom,
    ! [X53,X54] :
      ( c_plus(X54,X53,tc_nat) != c_0
      | X53 = c_0 ),
    c_0_1107 ).

fof(c_0_3310_3311,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_uminus(X62,tc_IntDef_Oint),X50) = c_uminus(c_IntDef_Oof__int(X62,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1108]) ).

fof(c_0_3311_3312,plain,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X61,tc_nat)) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1109]) ).

fof(c_0_3312_3313,plain,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1110]) ).

fof(c_0_3313_3314,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_NatArith_Oof__nat(c_0,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1111]) ).

fof(c_0_3314_3315,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_lessequals(c_HOL_Oabs(c_0,X50),c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1112]) ).

fof(c_0_3315_3316,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1113]) ).

fof(c_0_3316_3317,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_LOrder_Omeet(c_0,c_uminus(c_0,X50),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1114]) ).

fof(c_0_3317_3318,plain,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(c_0,X54,tc_nat)
      | X54 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1115]) ).

fof(c_0_3318_3319,plain,
    ! [X54] :
      ( ~ c_Divides_Oop_Advd(c_0,X54,tc_IntDef_Oint)
      | X54 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1116]) ).

fof(c_0_3319_3320,plain,
    ! [X52] :
      ( ~ c_lessequals(X52,c_0,tc_nat)
      | X52 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1117]) ).

fof(c_0_3320_3321,plain,
    ! [X53] :
      ( ~ c_less(X53,c_1,tc_nat)
      | X53 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1118]) ).

fof(c_0_3321_3322,axiom,
    ! [X12,X50] :
      ( c_in(c_Main_Oall__not__in__conv__1(X12,X50),X12,X50)
      | X12 = c_emptyset ),
    c_0_1119 ).

fof(c_0_3322_3323,axiom,
    ! [X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X61,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X61),tc_nat) ),
    c_0_1120 ).

fof(c_0_3323_3324,plain,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(c_List_Orotate1(X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1121]) ).

fof(c_0_3324_3325,plain,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(c_List_Orev(X66,X50),X50)
      | c_List_Odistinct(X66,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1122]) ).

fof(c_0_3325_3326,axiom,
    ! [X55,X52] :
      ( c_List_Oupt(X52,X55) != c_List_Olist_ONil
      | c_lessequals(X55,X52,tc_nat)
      | X55 = c_0 ),
    c_0_1123 ).

fof(c_0_3326_3327,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X7,X28) != c_Message_Omsg_OMPair(X6,X31)
      | X6 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)) ),
    c_0_1124 ).

fof(c_0_3327_3328,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_Omsg_OMPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X6 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X7,X28)) ),
    c_0_1125 ).

fof(c_0_3328_3329,axiom,
    ! [X61] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X61,tc_nat)) = c_Numeral_Onumber__of(X61,tc_IntDef_Oint) ),
    c_0_1126 ).

fof(c_0_3329_3330,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(c_0,X49,X50) = c_uminus(X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1127]) ).

fof(c_0_3330_3331,axiom,
    ! [X12,X50] :
      ( c_in(X12,c_Finite__Set_OFinites,tc_set(X50))
      | c_Finite__Set_Ocard(X12,X50) = c_0 ),
    c_0_1128 ).

fof(c_0_3331_3332,axiom,
    ! [X55,X52] :
      ( c_lessequals(X52,X55,tc_nat)
      | c_List_Oupt(X52,c_Suc(X55)) = c_List_Olist_ONil ),
    c_0_1129 ).

fof(c_0_3332_3333,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1130]) ).

fof(c_0_3333_3334,plain,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | X23 = c_0
      | c_divide(X23,X23,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1131]) ).

fof(c_0_3334_3335,plain,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | X23 = c_0
      | c_1 = c_divide(X23,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1132]) ).

fof(c_0_3335_3336,plain,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X48,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_1133]) ).

fof(c_0_3336_3337,plain,
    ! [X48,X50] :
      ( ~ c_Wellfounded__Recursion_Owf(X48,X50)
      | c_Wellfounded__Recursion_Owf(c_List_Olex(X48,X50),tc_List_Olist(X50)) ),
    inference(fof_simplification,[status(thm)],[c_0_1134]) ).

fof(c_0_3337_3338,plain,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X61,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_1135]) ).

fof(c_0_3338_3339,plain,
    ! [X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X61,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_1136]) ).

fof(c_0_3339_3340,plain,
    ! [X61] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1137]) ).

fof(c_0_3340_3341,plain,
    ! [X61] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1138]) ).

fof(c_0_3341_3342,plain,
    ! [X23] :
      ( ~ c_Parity_Oeven(c_uminus(X23,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X23,tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_1139]) ).

fof(c_0_3342_3343,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,X27,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1140]) ).

fof(c_0_3343_3344,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X49,c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1141]) ).

fof(c_0_3344_3345,plain,
    ! [X60,X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_uminus(c_Numeral_Onumber__of(X60,X50),X50) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X60),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1142]) ).

fof(c_0_3345_3346,plain,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OatLeast(X21,X50),tc_set(X50)) = c_SetInterval_OlessThan(X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1143]) ).

fof(c_0_3346_3347,plain,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OatMost(X21,X50),tc_set(X50)) = c_SetInterval_OgreaterThan(X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1144]) ).

fof(c_0_3347_3348,plain,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OgreaterThan(X21,X50),tc_set(X50)) = c_SetInterval_OatMost(X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1145]) ).

fof(c_0_3348_3349,plain,
    ! [X21,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_uminus(c_SetInterval_OlessThan(X21,X50),tc_set(X50)) = c_SetInterval_OatLeast(X21,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1146]) ).

fof(c_0_3349_3350,plain,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_0,c_Suc(X53),X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1147]) ).

fof(c_0_3350_3351,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(c_0,c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1148]) ).

fof(c_0_3351_3352,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_divide(c_1,c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1149]) ).

fof(c_0_3352_3353,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Oordered__field(X50)
      | c_0 = c_divide(c_1,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1150]) ).

fof(c_0_3353_3354,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1151]) ).

fof(c_0_3354_3355,axiom,
    ! [X10,X12,X50] :
      ( c_uminus(X12,tc_set(X50)) != c_uminus(X10,tc_set(X50))
      | X12 = X10 ),
    c_0_1152 ).

fof(c_0_3355_3356,plain,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orotate1(X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1153]) ).

fof(c_0_3356_3357,plain,
    ! [X66,X50] :
      ( ~ c_List_Odistinct(X66,X50)
      | c_List_Odistinct(c_List_Orev(X66,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1154]) ).

fof(c_0_3357_3358,plain,
    ! [X25,X50] :
      ( ~ class_LOrder_Ojoin__semilorder(X50)
      | c_LOrder_Ojoin(X25,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1155]) ).

fof(c_0_3358_3359,plain,
    ! [X25,X50] :
      ( ~ class_LOrder_Omeet__semilorder(X50)
      | c_LOrder_Omeet(X25,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1156]) ).

fof(c_0_3359_3360,plain,
    ! [X25,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omin(X25,X25,X51) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1157]) ).

fof(c_0_3360_3361,plain,
    ! [X25,X51] :
      ( ~ class_Orderings_Olinorder(X51)
      | c_Orderings_Omax(X25,X25,X51) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1158]) ).

fof(c_0_3361_3362,axiom,
    ! [X62] :
      ( c_lessequals(c_0,X62,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X62)) = c_0 ),
    c_0_1159 ).

fof(c_0_3362_3363,plain,
    ! [X23,X50] :
      ( ~ class_Orderings_Oorder(X50)
      | c_lessequals(X23,X23,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1160]) ).

fof(c_0_3363_3364,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X49,X49,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1161]) ).

fof(c_0_3364_3365,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_HOL_Oabs(X49,X50),X50) = c_HOL_Oabs(X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1162]) ).

fof(c_0_3365_3366,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_uminus(X49,X50),X50) = c_HOL_Oabs(X49,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1163]) ).

fof(c_0_3366_3367,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X50)
      | c_plus(X25,c_0,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1164]) ).

fof(c_0_3367_3368,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X50)
      | c_plus(c_0,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1165]) ).

fof(c_0_3368_3369,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_minus(X25,c_0,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1166]) ).

fof(c_0_3369_3370,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Omonoid__mult(X50)
      | c_times(c_1,X25,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1167]) ).

fof(c_0_3370_3371,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Omonoid__mult(X50)
      | c_times(X25,c_1,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1168]) ).

fof(c_0_3371_3372,plain,
    ! [X25,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(X25,c_1,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1169]) ).

fof(c_0_3372_3373,plain,
    ! [X25,X50] :
      ( ~ class_Ring__and__Field_Ofield(X50)
      | c_divide(X25,c_1,X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1170]) ).

fof(c_0_3373_3374,plain,
    ! [X26,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 = c_times(X26,c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1171]) ).

fof(c_0_3374_3375,plain,
    ! [X26,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | X26 = c_times(c_1,X26,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1172]) ).

fof(c_0_3375_3376,plain,
    ! [X27,X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X49,X50) != c_HOL_Oinverse(X27,X50)
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1173]) ).

fof(c_0_3376_3377,plain,
    ! [X53,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(c_1,X53,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1174]) ).

fof(c_0_3377_3378,plain,
    ! [X49,X50] :
      ( ~ class_Power_Orecpower(X50)
      | c_Nat_Opower(X49,c_0,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1175]) ).

fof(c_0_3378_3379,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_times(c_0,X27,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1176]) ).

fof(c_0_3379_3380,plain,
    ! [X27,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_times(X27,c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1177]) ).

fof(c_0_3380_3381,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X50)
      | c_times(c_0,X49,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1178]) ).

fof(c_0_3381_3382,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X50)
      | c_times(X49,c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1179]) ).

fof(c_0_3382_3383,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_in(c_0,c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1180]) ).

fof(c_0_3383_3384,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_in(c_1,c_IntDef_OInts,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1181]) ).

fof(c_0_3384_3385,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_0,c_IntDef_ONats,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1182]) ).

fof(c_0_3385_3386,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_in(c_1,c_IntDef_ONats,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1183]) ).

fof(c_0_3386_3387,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_less(c_0,c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1184]) ).

fof(c_0_3387_3388,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_lessequals(c_0,c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1185]) ).

fof(c_0_3388_3389,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X53,tc_IntDef_Oint),X50) = c_NatArith_Oof__nat(X53,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1186]) ).

fof(c_0_3389_3390,plain,
    ! [X23] :
      ( ~ c_Parity_Oeven(X23,tc_IntDef_Oint)
      | c_Parity_Oeven(c_uminus(X23,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(fof_simplification,[status(thm)],[c_0_1187]) ).

fof(c_0_3390_3391,plain,
    ! [X25,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_HOL_Oinverse(X25,X50),X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1188]) ).

fof(c_0_3391_3392,axiom,
    ! [X49] :
      ( X49 = c_0
      | c_div(X49,X49,tc_IntDef_Oint) = c_1 ),
    c_0_1189 ).

fof(c_0_3392_3393,axiom,
    ! [X61,X54] :
      ( c_IntDef_Oint(X54) != c_Numeral_Onumber__of(X61,tc_IntDef_Oint)
      | X54 = c_IntDef_Onat(c_Numeral_Onumber__of(X61,tc_IntDef_Oint)) ),
    c_0_1190 ).

fof(c_0_3393_3394,plain,
    ! [X62,X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(X60,X50) != c_IntDef_Oof__int(X62,X50)
      | X60 = X62 ),
    inference(fof_simplification,[status(thm)],[c_0_1191]) ).

fof(c_0_3394_3395,plain,
    ! [X53,X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(X54,X50) != c_NatArith_Oof__nat(X53,X50)
      | X54 = X53 ),
    inference(fof_simplification,[status(thm)],[c_0_1192]) ).

fof(c_0_3395_3396,plain,
    ! [X27,X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(X49,X50) != c_uminus(X27,X50)
      | X49 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_1193]) ).

fof(c_0_3396_3397,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OatLeast(X23,X50) != c_SetInterval_OatLeast(X25,X50)
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1194]) ).

fof(c_0_3397_3398,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OatMost(X23,X50) != c_SetInterval_OatMost(X25,X50)
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1195]) ).

fof(c_0_3398_3399,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OgreaterThan(X23,X50) != c_SetInterval_OgreaterThan(X25,X50)
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1196]) ).

fof(c_0_3399_3400,plain,
    ! [X25,X23,X50] :
      ( ~ class_Orderings_Olinorder(X50)
      | c_SetInterval_OlessThan(X23,X50) != c_SetInterval_OlessThan(X25,X50)
      | X23 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1197]) ).

fof(c_0_3400_3401,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1198]) ).

fof(c_0_3401_3402,axiom,
    ! [X53] :
      ( c_less(c_0,X53,tc_nat)
      | X53 = c_0 ),
    c_0_1199 ).

fof(c_0_3402_3403,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1200]) ).

fof(c_0_3403_3404,plain,
    ! [X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(c_uminus(c_1,X51),X51) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1201]) ).

fof(c_0_3404_3405,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1202]) ).

fof(c_0_3405_3406,plain,
    ! [X27,X51] :
      ( ~ class_HOL_Oone(X51)
      | ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(X27,X51) != c_1
      | X27 = c_uminus(c_1,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_1203]) ).

fof(c_0_3406_3407,plain,
    ! [X23] :
      ( ~ c_Parity_Oeven(X23,tc_nat)
      | ~ c_Parity_Oeven(c_Suc(X23),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_1204]) ).

fof(c_0_3407_3408,plain,
    ! [X25,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_uminus(X25,X50),X50) = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_1205]) ).

fof(c_0_3408_3409,axiom,
    ! [X59,X49,X50] :
      ( c_Datatype_Ooption_OSome(X49,X50) != c_Datatype_Ooption_OSome(X59,X50)
      | X49 = X59 ),
    c_0_1206 ).

fof(c_0_3409_3410,axiom,
    ! [X77,X78,X79,X80] :
      ( c_List_Ochar_OChar(X80,X78) != c_List_Ochar_OChar(X79,X77)
      | X80 = X79 ),
    c_0_1207 ).

fof(c_0_3410_3411,axiom,
    ! [X77,X78,X79,X80] :
      ( c_List_Ochar_OChar(X80,X78) != c_List_Ochar_OChar(X79,X77)
      | X78 = X77 ),
    c_0_1208 ).

fof(c_0_3411_3412,axiom,
    ! [X65,X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Orev(X65,X50)
      | X66 = X65 ),
    c_0_1209 ).

fof(c_0_3412_3413,axiom,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OMPair(X46,X44) != c_Message_Omsg_OMPair(X45,X43)
      | X46 = X45 ),
    c_0_1210 ).

fof(c_0_3413_3414,axiom,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OMPair(X46,X44) != c_Message_Omsg_OMPair(X45,X43)
      | X44 = X43 ),
    c_0_1211 ).

fof(c_0_3414_3415,axiom,
    ! [X41,X42,X33,X34] :
      ( c_Message_Omsg_OCrypt(X42,X34) != c_Message_Omsg_OCrypt(X41,X33)
      | X42 = X41 ),
    c_0_1212 ).

fof(c_0_3415_3416,axiom,
    ! [X41,X42,X33,X34] :
      ( c_Message_Omsg_OCrypt(X42,X34) != c_Message_Omsg_OCrypt(X41,X33)
      | X34 = X33 ),
    c_0_1213 ).

fof(c_0_3416_3417,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_OGets(X36,X34) != c_Event_Oevent_OGets(X35,X33)
      | X36 = X35 ),
    c_0_1214 ).

fof(c_0_3417_3418,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_OGets(X36,X34) != c_Event_Oevent_OGets(X35,X33)
      | X34 = X33 ),
    c_0_1215 ).

fof(c_0_3418_3419,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_ONotes(X36,X34) != c_Event_Oevent_ONotes(X35,X33)
      | X36 = X35 ),
    c_0_1216 ).

fof(c_0_3419_3420,axiom,
    ! [X33,X34,X35,X36] :
      ( c_Event_Oevent_ONotes(X36,X34) != c_Event_Oevent_ONotes(X35,X33)
      | X34 = X33 ),
    c_0_1217 ).

fof(c_0_3420_3421,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X6 = X7 ),
    c_0_1218 ).

fof(c_0_3421_3422,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X31 = X28 ),
    c_0_1219 ).

fof(c_0_3422_3423,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_OHPair(X7,X28) != c_Message_Omsg_OMPair(X6,X31)
      | X31 = X28 ),
    c_0_1220 ).

fof(c_0_3423_3424,axiom,
    ! [X31,X28,X6,X7] :
      ( c_Message_Omsg_OMPair(X6,X31) != c_Message_OHPair(X7,X28)
      | X31 = X28 ),
    c_0_1221 ).

fof(c_0_3424_3425,axiom,
    ! [X26,X27,X11,X12] :
      ( c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X26,X11)
      | X27 = X26 ),
    c_0_1222 ).

fof(c_0_3425_3426,axiom,
    ! [X26,X27,X11,X12] :
      ( c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X26,X11)
      | X12 = X11 ),
    c_0_1223 ).

fof(c_0_3426_3427,plain,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_fun(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    inference(fof_simplification,[status(thm)],[c_0_1224]) ).

fof(c_0_3427_3428,plain,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_prod(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    inference(fof_simplification,[status(thm)],[c_0_1225]) ).

fof(c_0_3428_3429,plain,
    ! [X88,X89] :
      ( class_Finite__Set_Ofinite(tc_sum(X88,X89))
      | ~ class_Finite__Set_Ofinite(X89)
      | ~ class_Finite__Set_Ofinite(X88) ),
    inference(fof_simplification,[status(thm)],[c_0_1226]) ).

fof(c_0_3429_3430,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X50),X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1227]) ).

fof(c_0_3430_3431,axiom,
    ! [X23,X50] :
      ( X23 = c_Datatype_Ooption_ONone
      | X23 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X23,X50),X50) ),
    c_0_1228 ).

fof(c_0_3431_3432,axiom,
    ! [X23,X50] :
      ( X23 = c_Datatype_Ooption_ONone
      | X23 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X23,X50),X50) ),
    c_0_1229 ).

fof(c_0_3432_3433,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_IntDef_Oint(X53),X50) = c_NatArith_Oof__nat(X53,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1230]) ).

fof(c_0_3433_3434,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1231]) ).

fof(c_0_3434_3435,plain,
    ! [X23,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X23,X50) != c_1
      | X23 = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1232]) ).

fof(c_0_3435_3436,plain,
    ! [X49,X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(X49,X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1233]) ).

fof(c_0_3436_3437,axiom,
    ! [X53,X54] :
      ( c_uminus(c_IntDef_Oint(X53),tc_IntDef_Oint) != c_IntDef_Oint(X54)
      | X53 = c_0 ),
    c_0_1234 ).

fof(c_0_3437_3438,axiom,
    ! [X53,X54] :
      ( c_uminus(c_IntDef_Oint(X53),tc_IntDef_Oint) != c_IntDef_Oint(X54)
      | X54 = c_0 ),
    c_0_1235 ).

fof(c_0_3438_3439,axiom,
    ! [X76,X50] :
      ( c_Main_ONil__eq__concat__conv__1(X76,X50) != c_List_Olist_ONil
      | c_List_Olist_ONil = c_List_Oconcat(X76,X50) ),
    c_0_1236 ).

fof(c_0_3439_3440,axiom,
    ! [X76,X50] :
      ( c_Main_Oconcat__eq__Nil__conv__1(X76,X50) != c_List_Olist_ONil
      | c_List_Oconcat(X76,X50) = c_List_Olist_ONil ),
    c_0_1237 ).

fof(c_0_3440_3441,axiom,
    ! [X12,X50] :
      ( c_Main_OInter__UNIV__conv__1__1(X12,X50) != c_UNIV
      | c_Inter(X12,X50) = c_UNIV ),
    c_0_1238 ).

fof(c_0_3441_3442,axiom,
    ! [X12,X50] :
      ( c_Main_OInter__UNIV__conv__2__1(X12,X50) != c_UNIV
      | c_UNIV = c_Inter(X12,X50) ),
    c_0_1239 ).

fof(c_0_3442_3443,axiom,
    ! [X12,X50] :
      ( c_Main_OUnion__empty__conv__1(X12,X50) != c_emptyset
      | c_Union(X12,X50) = c_emptyset ),
    c_0_1240 ).

fof(c_0_3443_3444,axiom,
    ! [X12,X50] :
      ( c_Main_Oempty__Union__conv__1(X12,X50) != c_emptyset
      | c_emptyset = c_Union(X12,X50) ),
    c_0_1241 ).

fof(c_0_3444_3445,axiom,
    ! [X66,X50] :
      ( c_Nat_Osize(X66,tc_List_Olist(X50)) != c_0
      | X66 = c_List_Olist_ONil ),
    c_0_1242 ).

fof(c_0_3445_3446,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_uminus(c_1,X50) = c_Numeral_Onumber__of(c_Numeral_OMin,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1243]) ).

fof(c_0_3446_3447,axiom,
    ! [X23] :
      ( c_Parity_Oeven(X23,tc_nat)
      | c_Parity_Oeven(c_Suc(X23),tc_nat) ),
    c_0_1244 ).

fof(c_0_3447_3448,plain,
    ! [X62,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 != c_IntDef_Oof__int(X62,X50)
      | c_0 = X62 ),
    inference(fof_simplification,[status(thm)],[c_0_1245]) ).

fof(c_0_3448_3449,plain,
    ! [X60,X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(X60,X50) != c_0
      | X60 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1246]) ).

fof(c_0_3449_3450,plain,
    ! [X53,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_0 != c_NatArith_Oof__nat(X53,X50)
      | c_0 = X53 ),
    inference(fof_simplification,[status(thm)],[c_0_1247]) ).

fof(c_0_3450_3451,plain,
    ! [X54,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(X54,X50) != c_0
      | X54 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1248]) ).

fof(c_0_3451_3452,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_0 != c_HOL_Oabs(X49,X50)
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1249]) ).

fof(c_0_3452_3453,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(X49,X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1250]) ).

fof(c_0_3453_3454,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_0 != c_uminus(X49,X50)
      | c_0 = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_1251]) ).

fof(c_0_3454_3455,plain,
    ! [X49,X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(X49,X50) != c_0
      | X49 = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1252]) ).

fof(c_0_3455_3456,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | ~ c_IntDef_Oiszero(c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1253]) ).

fof(c_0_3456_3457,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1254]) ).

fof(c_0_3457_3458,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | ~ c_IntDef_Oneg(c_1,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1255]) ).

fof(c_0_3458_3459,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_1,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1256]) ).

fof(c_0_3459_3460,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X50)
      | ~ class_Ring__and__Field_Ofield(X50)
      | c_HOL_Oinverse(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1257]) ).

fof(c_0_3460_3461,axiom,
    ! [X86,X50] :
      ( c_Datatype_Oo2s(X86,X50) != c_emptyset
      | X86 = c_Datatype_Ooption_ONone ),
    c_0_1258 ).

fof(c_0_3461_3462,axiom,
    ! [X66,X50] :
      ( c_List_Olist_ONil != c_List_Orev(X66,X50)
      | X66 = c_List_Olist_ONil ),
    c_0_1259 ).

fof(c_0_3462_3463,axiom,
    ! [X23,X50] :
      ( c_List_Oremdups(X23,X50) != c_List_Olist_ONil
      | X23 = c_List_Olist_ONil ),
    c_0_1260 ).

fof(c_0_3463_3464,axiom,
    ! [X23,X50] :
      ( c_List_Olist_ONil != c_List_Oremdups(X23,X50)
      | X23 = c_List_Olist_ONil ),
    c_0_1261 ).

fof(c_0_3464_3465,axiom,
    ! [X66,X50] :
      ( c_List_Orev(X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    c_0_1262 ).

fof(c_0_3465_3466,axiom,
    ! [X66,X50] :
      ( c_List_Orotate1(X66,X50) != c_List_Olist_ONil
      | X66 = c_List_Olist_ONil ),
    c_0_1263 ).

fof(c_0_3466_3467,axiom,
    ! [X66,X50] :
      ( c_emptyset != c_List_Oset(X66,X50)
      | X66 = c_List_Olist_ONil ),
    c_0_1264 ).

fof(c_0_3467_3468,axiom,
    ! [X66,X50] :
      ( c_List_Oset(X66,X50) != c_emptyset
      | X66 = c_List_Olist_ONil ),
    c_0_1265 ).

fof(c_0_3468_3469,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_0 = c_IntDef_Oof__int(c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1266]) ).

fof(c_0_3469_3470,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X50)
      | c_IntDef_Oof__int(c_1,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1267]) ).

fof(c_0_3470_3471,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_IntDef_Oof__int(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1268]) ).

fof(c_0_3471_3472,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_0 = c_NatArith_Oof__nat(c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1269]) ).

fof(c_0_3472_3473,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X50)
      | c_NatArith_Oof__nat(c_1,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1270]) ).

fof(c_0_3473_3474,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_NatArith_Oof__nat(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1271]) ).

fof(c_0_3474_3475,plain,
    ! [X50] :
      ( ~ class_Numeral_Onumber__ring(X50)
      | c_Numeral_Onumber__of(c_Numeral_OPls,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1272]) ).

fof(c_0_3475_3476,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_0 = c_HOL_Oabs(c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1273]) ).

fof(c_0_3476_3477,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X50)
      | c_HOL_Oabs(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1274]) ).

fof(c_0_3477_3478,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_0 = c_uminus(c_0,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_1275]) ).

fof(c_0_3478_3479,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Oab__group__add(X50)
      | c_uminus(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1276]) ).

fof(c_0_3479_3480,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_OrderedGroup_Onprt(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1277]) ).

fof(c_0_3480_3481,plain,
    ! [X50] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X50)
      | c_OrderedGroup_Opprt(c_0,X50) = c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_1278]) ).

fof(c_0_3481_3482,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oordered__idom(X50)
      | c_HOL_Oabs(c_1,X50) = c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_1279]) ).

fof(c_0_3482_3483,plain,
    ! [X89] :
      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X89))
      | ~ class_Finite__Set_Ofinite(X89) ),
    inference(fof_simplification,[status(thm)],[c_0_1280]) ).

fof(c_0_3483_3484,plain,
    ! [X89] :
      ( class_Finite__Set_Ofinite(tc_set(X89))
      | ~ class_Finite__Set_Ofinite(X89) ),
    inference(fof_simplification,[status(thm)],[c_0_1281]) ).

fof(c_0_3484_3485,axiom,
    ! [X53,X54] :
      ( c_IntDef_Oint(X54) != c_IntDef_Oint(X53)
      | X54 = X53 ),
    c_0_1282 ).

fof(c_0_3485_3486,axiom,
    ! [X53,X54] :
      ( c_Suc(X54) != c_Suc(X53)
      | X54 = X53 ),
    c_0_1283 ).

fof(c_0_3486_3487,axiom,
    ! [X41,X42] :
      ( c_Message_Oagent_OFriend(X42) != c_Message_Oagent_OFriend(X41)
      | X42 = X41 ),
    c_0_1284 ).

fof(c_0_3487_3488,axiom,
    ! [X47,X8] :
      ( c_Message_OinvKey(X8) != c_Message_OinvKey(X47)
      | X8 = X47 ),
    c_0_1285 ).

fof(c_0_3488_3489,axiom,
    ! [X35,X36] :
      ( c_Message_Omsg_OAgent(X36) != c_Message_Omsg_OAgent(X35)
      | X36 = X35 ),
    c_0_1286 ).

fof(c_0_3489_3490,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_ONumber(X42) != c_Message_Omsg_ONumber(X41)
      | X42 = X41 ),
    c_0_1287 ).

fof(c_0_3490_3491,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_ONonce(X42) != c_Message_Omsg_ONonce(X41)
      | X42 = X41 ),
    c_0_1288 ).

fof(c_0_3491_3492,axiom,
    ! [X41,X42] :
      ( c_Message_Omsg_OKey(X42) != c_Message_Omsg_OKey(X41)
      | X42 = X41 ),
    c_0_1289 ).

fof(c_0_3492_3493,axiom,
    ! [X33,X34] :
      ( c_Message_Omsg_OHash(X34) != c_Message_Omsg_OHash(X33)
      | X34 = X33 ),
    c_0_1290 ).

fof(c_0_3493_3494,axiom,
    ! [X25,X23] :
      ( c_Public_OshrK(X23) != c_Public_OshrK(X25)
      | X23 = X25 ),
    c_0_1291 ).

fof(c_0_3494_3495,plain,
    ! [X87] :
      ( ~ class_LOrder_Ojoin__semilorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1292]) ).

fof(c_0_3495_3496,plain,
    ! [X87] :
      ( ~ class_LOrder_Ojoin__semilorder(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1293]) ).

fof(c_0_3496_3497,plain,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1294]) ).

fof(c_0_3497_3498,plain,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1295]) ).

fof(c_0_3498_3499,plain,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1296]) ).

fof(c_0_3499_3500,plain,
    ! [X87] :
      ( ~ class_LOrder_Olorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1297]) ).

fof(c_0_3500_3501,plain,
    ! [X87] :
      ( ~ class_LOrder_Omeet__semilorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1298]) ).

fof(c_0_3501_3502,plain,
    ! [X87] :
      ( ~ class_LOrder_Omeet__semilorder(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1299]) ).

fof(c_0_3502_3503,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1300]) ).

fof(c_0_3503_3504,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1301]) ).

fof(c_0_3504_3505,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1302]) ).

fof(c_0_3505_3506,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1303]) ).

fof(c_0_3506_3507,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1304]) ).

fof(c_0_3507_3508,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1305]) ).

fof(c_0_3508_3509,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1306]) ).

fof(c_0_3509_3510,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1307]) ).

fof(c_0_3510_3511,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1308]) ).

fof(c_0_3511_3512,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1309]) ).

fof(c_0_3512_3513,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1310]) ).

fof(c_0_3513_3514,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1311]) ).

fof(c_0_3514_3515,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1312]) ).

fof(c_0_3515_3516,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1313]) ).

fof(c_0_3516_3517,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1314]) ).

fof(c_0_3517_3518,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1315]) ).

fof(c_0_3518_3519,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1316]) ).

fof(c_0_3519_3520,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1317]) ).

fof(c_0_3520_3521,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1318]) ).

fof(c_0_3521_3522,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1319]) ).

fof(c_0_3522_3523,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1320]) ).

fof(c_0_3523_3524,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1321]) ).

fof(c_0_3524_3525,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1322]) ).

fof(c_0_3525_3526,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1323]) ).

fof(c_0_3526_3527,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Numeral_Onumber(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1324]) ).

fof(c_0_3527_3528,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1325]) ).

fof(c_0_3528_3529,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1326]) ).

fof(c_0_3529_3530,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1327]) ).

fof(c_0_3530_3531,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1328]) ).

fof(c_0_3531_3532,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1329]) ).

fof(c_0_3532_3533,plain,
    ! [X87] :
      ( ~ class_Numeral_Onumber__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1330]) ).

fof(c_0_3533_3534,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1331]) ).

fof(c_0_3534_3535,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1332]) ).

fof(c_0_3535_3536,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1333]) ).

fof(c_0_3536_3537,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1334]) ).

fof(c_0_3537_3538,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1335]) ).

fof(c_0_3538_3539,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1336]) ).

fof(c_0_3539_3540,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1337]) ).

fof(c_0_3540_3541,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__group__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1338]) ).

fof(c_0_3541_3542,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1339]) ).

fof(c_0_3542_3543,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1340]) ).

fof(c_0_3543_3544,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1341]) ).

fof(c_0_3544_3545,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1342]) ).

fof(c_0_3545_3546,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1343]) ).

fof(c_0_3546_3547,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1344]) ).

fof(c_0_3547_3548,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1345]) ).

fof(c_0_3548_3549,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1346]) ).

fof(c_0_3549_3550,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1347]) ).

fof(c_0_3550_3551,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1348]) ).

fof(c_0_3551_3552,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1349]) ).

fof(c_0_3552_3553,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1350]) ).

fof(c_0_3553_3554,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1351]) ).

fof(c_0_3554_3555,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1352]) ).

fof(c_0_3555_3556,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1353]) ).

fof(c_0_3556_3557,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1354]) ).

fof(c_0_3557_3558,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1355]) ).

fof(c_0_3558_3559,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1356]) ).

fof(c_0_3559_3560,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1357]) ).

fof(c_0_3560_3561,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1358]) ).

fof(c_0_3561_3562,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1359]) ).

fof(c_0_3562_3563,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1360]) ).

fof(c_0_3563_3564,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1361]) ).

fof(c_0_3564_3565,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1362]) ).

fof(c_0_3565_3566,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1363]) ).

fof(c_0_3566_3567,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1364]) ).

fof(c_0_3567_3568,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1365]) ).

fof(c_0_3568_3569,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1366]) ).

fof(c_0_3569_3570,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1367]) ).

fof(c_0_3570_3571,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1368]) ).

fof(c_0_3571_3572,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1369]) ).

fof(c_0_3572_3573,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1370]) ).

fof(c_0_3573_3574,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1371]) ).

fof(c_0_3574_3575,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1372]) ).

fof(c_0_3575_3576,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1373]) ).

fof(c_0_3576_3577,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1374]) ).

fof(c_0_3577_3578,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1375]) ).

fof(c_0_3578_3579,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1376]) ).

fof(c_0_3579_3580,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1377]) ).

fof(c_0_3580_3581,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1378]) ).

fof(c_0_3581_3582,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1379]) ).

fof(c_0_3582_3583,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1380]) ).

fof(c_0_3583_3584,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1381]) ).

fof(c_0_3584_3585,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1382]) ).

fof(c_0_3585_3586,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1383]) ).

fof(c_0_3586_3587,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1384]) ).

fof(c_0_3587_3588,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1385]) ).

fof(c_0_3588_3589,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1386]) ).

fof(c_0_3589_3590,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1387]) ).

fof(c_0_3590_3591,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1388]) ).

fof(c_0_3591_3592,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1389]) ).

fof(c_0_3592_3593,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1390]) ).

fof(c_0_3593_3594,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1391]) ).

fof(c_0_3594_3595,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1392]) ).

fof(c_0_3595_3596,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1393]) ).

fof(c_0_3596_3597,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1394]) ).

fof(c_0_3597_3598,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1395]) ).

fof(c_0_3598_3599,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1396]) ).

fof(c_0_3599_3600,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1397]) ).

fof(c_0_3600_3601,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1398]) ).

fof(c_0_3601_3602,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1399]) ).

fof(c_0_3602_3603,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1400]) ).

fof(c_0_3603_3604,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1401]) ).

fof(c_0_3604_3605,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1402]) ).

fof(c_0_3605_3606,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1403]) ).

fof(c_0_3606_3607,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1404]) ).

fof(c_0_3607_3608,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1405]) ).

fof(c_0_3608_3609,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1406]) ).

fof(c_0_3609_3610,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1407]) ).

fof(c_0_3610_3611,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1408]) ).

fof(c_0_3611_3612,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1409]) ).

fof(c_0_3612_3613,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1410]) ).

fof(c_0_3613_3614,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1411]) ).

fof(c_0_3614_3615,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1412]) ).

fof(c_0_3615_3616,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1413]) ).

fof(c_0_3616_3617,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1414]) ).

fof(c_0_3617_3618,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1415]) ).

fof(c_0_3618_3619,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1416]) ).

fof(c_0_3619_3620,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1417]) ).

fof(c_0_3620_3621,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1418]) ).

fof(c_0_3621_3622,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1419]) ).

fof(c_0_3622_3623,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1420]) ).

fof(c_0_3623_3624,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1421]) ).

fof(c_0_3624_3625,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1422]) ).

fof(c_0_3625_3626,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1423]) ).

fof(c_0_3626_3627,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1424]) ).

fof(c_0_3627_3628,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1425]) ).

fof(c_0_3628_3629,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1426]) ).

fof(c_0_3629_3630,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1427]) ).

fof(c_0_3630_3631,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1428]) ).

fof(c_0_3631_3632,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1429]) ).

fof(c_0_3632_3633,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1430]) ).

fof(c_0_3633_3634,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1431]) ).

fof(c_0_3634_3635,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1432]) ).

fof(c_0_3635_3636,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1433]) ).

fof(c_0_3636_3637,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1434]) ).

fof(c_0_3637_3638,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Omonoid__mult(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1435]) ).

fof(c_0_3638_3639,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1436]) ).

fof(c_0_3639_3640,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1437]) ).

fof(c_0_3640_3641,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1438]) ).

fof(c_0_3641_3642,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1439]) ).

fof(c_0_3642_3643,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1440]) ).

fof(c_0_3643_3644,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1441]) ).

fof(c_0_3644_3645,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1442]) ).

fof(c_0_3645_3646,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1443]) ).

fof(c_0_3646_3647,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1444]) ).

fof(c_0_3647_3648,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1445]) ).

fof(c_0_3648_3649,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1446]) ).

fof(c_0_3649_3650,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1447]) ).

fof(c_0_3650_3651,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1448]) ).

fof(c_0_3651_3652,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1449]) ).

fof(c_0_3652_3653,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1450]) ).

fof(c_0_3653_3654,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1451]) ).

fof(c_0_3654_3655,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1452]) ).

fof(c_0_3655_3656,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1453]) ).

fof(c_0_3656_3657,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1454]) ).

fof(c_0_3657_3658,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1455]) ).

fof(c_0_3658_3659,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1456]) ).

fof(c_0_3659_3660,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1457]) ).

fof(c_0_3660_3661,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1458]) ).

fof(c_0_3661_3662,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1459]) ).

fof(c_0_3662_3663,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1460]) ).

fof(c_0_3663_3664,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1461]) ).

fof(c_0_3664_3665,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1462]) ).

fof(c_0_3665_3666,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1463]) ).

fof(c_0_3666_3667,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1464]) ).

fof(c_0_3667_3668,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1465]) ).

fof(c_0_3668_3669,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1466]) ).

fof(c_0_3669_3670,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1467]) ).

fof(c_0_3670_3671,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1468]) ).

fof(c_0_3671_3672,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1469]) ).

fof(c_0_3672_3673,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1470]) ).

fof(c_0_3673_3674,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1471]) ).

fof(c_0_3674_3675,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1472]) ).

fof(c_0_3675_3676,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1473]) ).

fof(c_0_3676_3677,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1474]) ).

fof(c_0_3677_3678,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1475]) ).

fof(c_0_3678_3679,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1476]) ).

fof(c_0_3679_3680,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1477]) ).

fof(c_0_3680_3681,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1478]) ).

fof(c_0_3681_3682,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1479]) ).

fof(c_0_3682_3683,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1480]) ).

fof(c_0_3683_3684,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1481]) ).

fof(c_0_3684_3685,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1482]) ).

fof(c_0_3685_3686,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1483]) ).

fof(c_0_3686_3687,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1484]) ).

fof(c_0_3687_3688,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1485]) ).

fof(c_0_3688_3689,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Osemigroup__add(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1486]) ).

fof(c_0_3689_3690,plain,
    ! [X87] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1487]) ).

fof(c_0_3690_3691,plain,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1488]) ).

fof(c_0_3691_3692,plain,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1489]) ).

fof(c_0_3692_3693,plain,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1490]) ).

fof(c_0_3693_3694,plain,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1491]) ).

fof(c_0_3694_3695,plain,
    ! [X87] :
      ( ~ class_Orderings_Olinorder(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1492]) ).

fof(c_0_3695_3696,plain,
    ! [X87] :
      ( ~ class_Orderings_Oorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1493]) ).

fof(c_0_3696_3697,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Nat_Opower(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1494]) ).

fof(c_0_3697_3698,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1495]) ).

fof(c_0_3698_3699,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1496]) ).

fof(c_0_3699_3700,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1497]) ).

fof(c_0_3700_3701,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1498]) ).

fof(c_0_3701_3702,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1499]) ).

fof(c_0_3702_3703,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1500]) ).

fof(c_0_3703_3704,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1501]) ).

fof(c_0_3704_3705,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1502]) ).

fof(c_0_3705_3706,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1503]) ).

fof(c_0_3706_3707,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1504]) ).

fof(c_0_3707_3708,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1505]) ).

fof(c_0_3708_3709,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1506]) ).

fof(c_0_3709_3710,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1507]) ).

fof(c_0_3710_3711,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1508]) ).

fof(c_0_3711_3712,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1509]) ).

fof(c_0_3712_3713,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1510]) ).

fof(c_0_3713_3714,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1511]) ).

fof(c_0_3714_3715,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1512]) ).

fof(c_0_3715_3716,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1513]) ).

fof(c_0_3716_3717,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1514]) ).

fof(c_0_3717_3718,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1515]) ).

fof(c_0_3718_3719,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1516]) ).

fof(c_0_3719_3720,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1517]) ).

fof(c_0_3720_3721,plain,
    ! [X87] :
      ( ~ class_Power_Orecpower(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1518]) ).

fof(c_0_3721_3722,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1519]) ).

fof(c_0_3722_3723,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1520]) ).

fof(c_0_3723_3724,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1521]) ).

fof(c_0_3724_3725,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1522]) ).

fof(c_0_3725_3726,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1523]) ).

fof(c_0_3726_3727,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1524]) ).

fof(c_0_3727_3728,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1525]) ).

fof(c_0_3728_3729,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1526]) ).

fof(c_0_3729_3730,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1527]) ).

fof(c_0_3730_3731,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1528]) ).

fof(c_0_3731_3732,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1529]) ).

fof(c_0_3732_3733,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1530]) ).

fof(c_0_3733_3734,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1531]) ).

fof(c_0_3734_3735,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1532]) ).

fof(c_0_3735_3736,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1533]) ).

fof(c_0_3736_3737,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1534]) ).

fof(c_0_3737_3738,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1535]) ).

fof(c_0_3738_3739,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1536]) ).

fof(c_0_3739_3740,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1537]) ).

fof(c_0_3740_3741,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1538]) ).

fof(c_0_3741_3742,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1539]) ).

fof(c_0_3742_3743,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1540]) ).

fof(c_0_3743_3744,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1541]) ).

fof(c_0_3744_3745,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1542]) ).

fof(c_0_3745_3746,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1543]) ).

fof(c_0_3746_3747,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1544]) ).

fof(c_0_3747_3748,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1545]) ).

fof(c_0_3748_3749,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1546]) ).

fof(c_0_3749_3750,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1547]) ).

fof(c_0_3750_3751,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1548]) ).

fof(c_0_3751_3752,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1549]) ).

fof(c_0_3752_3753,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1550]) ).

fof(c_0_3753_3754,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1551]) ).

fof(c_0_3754_3755,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1552]) ).

fof(c_0_3755_3756,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1553]) ).

fof(c_0_3756_3757,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1554]) ).

fof(c_0_3757_3758,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1555]) ).

fof(c_0_3758_3759,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1556]) ).

fof(c_0_3759_3760,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1557]) ).

fof(c_0_3760_3761,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1558]) ).

fof(c_0_3761_3762,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1559]) ).

fof(c_0_3762_3763,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1560]) ).

fof(c_0_3763_3764,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1561]) ).

fof(c_0_3764_3765,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1562]) ).

fof(c_0_3765_3766,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1563]) ).

fof(c_0_3766_3767,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1564]) ).

fof(c_0_3767_3768,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1565]) ).

fof(c_0_3768_3769,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1566]) ).

fof(c_0_3769_3770,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1567]) ).

fof(c_0_3770_3771,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1568]) ).

fof(c_0_3771_3772,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1569]) ).

fof(c_0_3772_3773,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1570]) ).

fof(c_0_3773_3774,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1571]) ).

fof(c_0_3774_3775,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1572]) ).

fof(c_0_3775_3776,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1573]) ).

fof(c_0_3776_3777,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1574]) ).

fof(c_0_3777_3778,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1575]) ).

fof(c_0_3778_3779,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1576]) ).

fof(c_0_3779_3780,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1577]) ).

fof(c_0_3780_3781,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1578]) ).

fof(c_0_3781_3782,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1579]) ).

fof(c_0_3782_3783,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1580]) ).

fof(c_0_3783_3784,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1581]) ).

fof(c_0_3784_3785,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1582]) ).

fof(c_0_3785_3786,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1583]) ).

fof(c_0_3786_3787,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1584]) ).

fof(c_0_3787_3788,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1585]) ).

fof(c_0_3788_3789,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1586]) ).

fof(c_0_3789_3790,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1587]) ).

fof(c_0_3790_3791,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1588]) ).

fof(c_0_3791_3792,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1589]) ).

fof(c_0_3792_3793,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1590]) ).

fof(c_0_3793_3794,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1591]) ).

fof(c_0_3794_3795,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1592]) ).

fof(c_0_3795_3796,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1593]) ).

fof(c_0_3796_3797,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1594]) ).

fof(c_0_3797_3798,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1595]) ).

fof(c_0_3798_3799,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1596]) ).

fof(c_0_3799_3800,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1597]) ).

fof(c_0_3800_3801,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1598]) ).

fof(c_0_3801_3802,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1599]) ).

fof(c_0_3802_3803,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1600]) ).

fof(c_0_3803_3804,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1601]) ).

fof(c_0_3804_3805,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1602]) ).

fof(c_0_3805_3806,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1603]) ).

fof(c_0_3806_3807,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1604]) ).

fof(c_0_3807_3808,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1605]) ).

fof(c_0_3808_3809,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1606]) ).

fof(c_0_3809_3810,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1607]) ).

fof(c_0_3810_3811,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1608]) ).

fof(c_0_3811_3812,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1609]) ).

fof(c_0_3812_3813,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1610]) ).

fof(c_0_3813_3814,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1611]) ).

fof(c_0_3814_3815,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1612]) ).

fof(c_0_3815_3816,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1613]) ).

fof(c_0_3816_3817,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1614]) ).

fof(c_0_3817_3818,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1615]) ).

fof(c_0_3818_3819,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1616]) ).

fof(c_0_3819_3820,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1617]) ).

fof(c_0_3820,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1618]) ).

fof(c_0_3821,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1619]) ).

fof(c_0_3822,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1620]) ).

fof(c_0_3823,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1621]) ).

fof(c_0_3824,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1622]) ).

fof(c_0_3825,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1623]) ).

fof(c_0_3826,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1624]) ).

fof(c_0_3827,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1625]) ).

fof(c_0_3828,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1626]) ).

fof(c_0_3829,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1627]) ).

fof(c_0_3830,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1628]) ).

fof(c_0_3831,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1629]) ).

fof(c_0_3832,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1630]) ).

fof(c_0_3833,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1631]) ).

fof(c_0_3834,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1632]) ).

fof(c_0_3835,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1633]) ).

fof(c_0_3836,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1634]) ).

fof(c_0_3837,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1635]) ).

fof(c_0_3838,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1636]) ).

fof(c_0_3839,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1637]) ).

fof(c_0_3840,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1638]) ).

fof(c_0_3841,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1639]) ).

fof(c_0_3842,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1640]) ).

fof(c_0_3843,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1641]) ).

fof(c_0_3844,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1642]) ).

fof(c_0_3845,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1643]) ).

fof(c_0_3846,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1644]) ).

fof(c_0_3847,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1645]) ).

fof(c_0_3848,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1646]) ).

fof(c_0_3849,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1647]) ).

fof(c_0_3850,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X87)
      | class_HOL_Oinverse(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1648]) ).

fof(c_0_3851,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1649]) ).

fof(c_0_3852,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1650]) ).

fof(c_0_3853,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1651]) ).

fof(c_0_3854,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1652]) ).

fof(c_0_3855,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1653]) ).

fof(c_0_3856,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1654]) ).

fof(c_0_3857,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1655]) ).

fof(c_0_3858,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1656]) ).

fof(c_0_3859,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1657]) ).

fof(c_0_3860,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1658]) ).

fof(c_0_3861,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1659]) ).

fof(c_0_3862,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1660]) ).

fof(c_0_3863,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1661]) ).

fof(c_0_3864,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1662]) ).

fof(c_0_3865,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1663]) ).

fof(c_0_3866,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1664]) ).

fof(c_0_3867,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1665]) ).

fof(c_0_3868,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1666]) ).

fof(c_0_3869,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1667]) ).

fof(c_0_3870,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1668]) ).

fof(c_0_3871,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1669]) ).

fof(c_0_3872,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1670]) ).

fof(c_0_3873,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1671]) ).

fof(c_0_3874,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1672]) ).

fof(c_0_3875,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Oinverse(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1673]) ).

fof(c_0_3876,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1674]) ).

fof(c_0_3877,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1675]) ).

fof(c_0_3878,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1676]) ).

fof(c_0_3879,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1677]) ).

fof(c_0_3880,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1678]) ).

fof(c_0_3881,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1679]) ).

fof(c_0_3882,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1680]) ).

fof(c_0_3883,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Ofield(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1681]) ).

fof(c_0_3884,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1682]) ).

fof(c_0_3885,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1683]) ).

fof(c_0_3886,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1684]) ).

fof(c_0_3887,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1685]) ).

fof(c_0_3888,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1686]) ).

fof(c_0_3889,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1687]) ).

fof(c_0_3890,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1688]) ).

fof(c_0_3891,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1689]) ).

fof(c_0_3892,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1690]) ).

fof(c_0_3893,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1691]) ).

fof(c_0_3894,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1692]) ).

fof(c_0_3895,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1693]) ).

fof(c_0_3896,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1694]) ).

fof(c_0_3897,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1695]) ).

fof(c_0_3898,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1696]) ).

fof(c_0_3899,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1697]) ).

fof(c_0_3900,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1698]) ).

fof(c_0_3901,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1699]) ).

fof(c_0_3902,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1700]) ).

fof(c_0_3903,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1701]) ).

fof(c_0_3904,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1702]) ).

fof(c_0_3905,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1703]) ).

fof(c_0_3906,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1704]) ).

fof(c_0_3907,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1705]) ).

fof(c_0_3908,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1706]) ).

fof(c_0_3909,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1707]) ).

fof(c_0_3910,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1708]) ).

fof(c_0_3911,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1709]) ).

fof(c_0_3912,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1710]) ).

fof(c_0_3913,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1711]) ).

fof(c_0_3914,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oidom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1712]) ).

fof(c_0_3915,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1713]) ).

fof(c_0_3916,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1714]) ).

fof(c_0_3917,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1715]) ).

fof(c_0_3918,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1716]) ).

fof(c_0_3919,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1717]) ).

fof(c_0_3920,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1718]) ).

fof(c_0_3921,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1719]) ).

fof(c_0_3922,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1720]) ).

fof(c_0_3923,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1721]) ).

fof(c_0_3924,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1722]) ).

fof(c_0_3925,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1723]) ).

fof(c_0_3926,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1724]) ).

fof(c_0_3927,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1725]) ).

fof(c_0_3928,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1726]) ).

fof(c_0_3929,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1727]) ).

fof(c_0_3930,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1728]) ).

fof(c_0_3931,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1729]) ).

fof(c_0_3932,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1730]) ).

fof(c_0_3933,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1731]) ).

fof(c_0_3934,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1732]) ).

fof(c_0_3935,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1733]) ).

fof(c_0_3936,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1734]) ).

fof(c_0_3937,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1735]) ).

fof(c_0_3938,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1736]) ).

fof(c_0_3939,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1737]) ).

fof(c_0_3940,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1738]) ).

fof(c_0_3941,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1739]) ).

fof(c_0_3942,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1740]) ).

fof(c_0_3943,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1741]) ).

fof(c_0_3944,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1742]) ).

fof(c_0_3945,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Olordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1743]) ).

fof(c_0_3946,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1744]) ).

fof(c_0_3947,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1745]) ).

fof(c_0_3948,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1746]) ).

fof(c_0_3949,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1747]) ).

fof(c_0_3950,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1748]) ).

fof(c_0_3951,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1749]) ).

fof(c_0_3952,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1750]) ).

fof(c_0_3953,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1751]) ).

fof(c_0_3954,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1752]) ).

fof(c_0_3955,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1753]) ).

fof(c_0_3956,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1754]) ).

fof(c_0_3957,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1755]) ).

fof(c_0_3958,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1756]) ).

fof(c_0_3959,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1757]) ).

fof(c_0_3960,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1758]) ).

fof(c_0_3961,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1759]) ).

fof(c_0_3962,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1760]) ).

fof(c_0_3963,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1761]) ).

fof(c_0_3964,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1762]) ).

fof(c_0_3965,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1763]) ).

fof(c_0_3966,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1764]) ).

fof(c_0_3967,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1765]) ).

fof(c_0_3968,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1766]) ).

fof(c_0_3969,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1767]) ).

fof(c_0_3970,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1768]) ).

fof(c_0_3971,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1769]) ).

fof(c_0_3972,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1770]) ).

fof(c_0_3973,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1771]) ).

fof(c_0_3974,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1772]) ).

fof(c_0_3975,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1773]) ).

fof(c_0_3976,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ofield(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1774]) ).

fof(c_0_3977,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oinverse(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1775]) ).

fof(c_0_3978,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1776]) ).

fof(c_0_3979,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1777]) ).

fof(c_0_3980,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1778]) ).

fof(c_0_3981,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1779]) ).

fof(c_0_3982,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1780]) ).

fof(c_0_3983,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1781]) ).

fof(c_0_3984,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1782]) ).

fof(c_0_3985,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1783]) ).

fof(c_0_3986,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1784]) ).

fof(c_0_3987,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1785]) ).

fof(c_0_3988,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1786]) ).

fof(c_0_3989,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1787]) ).

fof(c_0_3990,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1788]) ).

fof(c_0_3991,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1789]) ).

fof(c_0_3992,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1790]) ).

fof(c_0_3993,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1791]) ).

fof(c_0_3994,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1792]) ).

fof(c_0_3995,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1793]) ).

fof(c_0_3996,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1794]) ).

fof(c_0_3997,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1795]) ).

fof(c_0_3998,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1796]) ).

fof(c_0_3999,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1797]) ).

fof(c_0_4000,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1798]) ).

fof(c_0_4001,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1799]) ).

fof(c_0_4002,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1800]) ).

fof(c_0_4003,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1801]) ).

fof(c_0_4004,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__idom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1802]) ).

fof(c_0_4005,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1803]) ).

fof(c_0_4006,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1804]) ).

fof(c_0_4007,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1805]) ).

fof(c_0_4008,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__ring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1806]) ).

fof(c_0_4009,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1807]) ).

fof(c_0_4010,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1808]) ).

fof(c_0_4011,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1809]) ).

fof(c_0_4012,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1810]) ).

fof(c_0_4013,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1811]) ).

fof(c_0_4014,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1812]) ).

fof(c_0_4015,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1813]) ).

fof(c_0_4016,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1814]) ).

fof(c_0_4017,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1815]) ).

fof(c_0_4018,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1816]) ).

fof(c_0_4019,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1817]) ).

fof(c_0_4020,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1818]) ).

fof(c_0_4021,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1819]) ).

fof(c_0_4022,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1820]) ).

fof(c_0_4023,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1821]) ).

fof(c_0_4024,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1822]) ).

fof(c_0_4025,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1823]) ).

fof(c_0_4026,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1824]) ).

fof(c_0_4027,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1825]) ).

fof(c_0_4028,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1826]) ).

fof(c_0_4029,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1827]) ).

fof(c_0_4030,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1828]) ).

fof(c_0_4031,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1829]) ).

fof(c_0_4032,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1830]) ).

fof(c_0_4033,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Oordered__semidom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1831]) ).

fof(c_0_4034,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1832]) ).

fof(c_0_4035,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1833]) ).

fof(c_0_4036,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__field(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1834]) ).

fof(c_0_4037,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__ring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1835]) ).

fof(c_0_4038,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1836]) ).

fof(c_0_4039,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1837]) ).

fof(c_0_4040,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1838]) ).

fof(c_0_4041,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1839]) ).

fof(c_0_4042,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1840]) ).

fof(c_0_4043,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1841]) ).

fof(c_0_4044,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1842]) ).

fof(c_0_4045,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1843]) ).

fof(c_0_4046,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1844]) ).

fof(c_0_4047,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1845]) ).

fof(c_0_4048,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1846]) ).

fof(c_0_4049,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1847]) ).

fof(c_0_4050,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1848]) ).

fof(c_0_4051,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1849]) ).

fof(c_0_4052,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1850]) ).

fof(c_0_4053,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1851]) ).

fof(c_0_4054,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1852]) ).

fof(c_0_4055,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1853]) ).

fof(c_0_4056,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1854]) ).

fof(c_0_4057,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1855]) ).

fof(c_0_4058,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1856]) ).

fof(c_0_4059,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1857]) ).

fof(c_0_4060,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1858]) ).

fof(c_0_4061,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1859]) ).

fof(c_0_4062,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1860]) ).

fof(c_0_4063,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1861]) ).

fof(c_0_4064,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1862]) ).

fof(c_0_4065,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1863]) ).

fof(c_0_4066,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1864]) ).

fof(c_0_4067,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1865]) ).

fof(c_0_4068,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1866]) ).

fof(c_0_4069,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1867]) ).

fof(c_0_4070,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1868]) ).

fof(c_0_4071,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1869]) ).

fof(c_0_4072,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1870]) ).

fof(c_0_4073,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1871]) ).

fof(c_0_4074,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1872]) ).

fof(c_0_4075,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1873]) ).

fof(c_0_4076,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1874]) ).

fof(c_0_4077,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1875]) ).

fof(c_0_4078,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1876]) ).

fof(c_0_4079,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__ring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1877]) ).

fof(c_0_4080,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1878]) ).

fof(c_0_4081,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1879]) ).

fof(c_0_4082,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1880]) ).

fof(c_0_4083,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1881]) ).

fof(c_0_4084,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1882]) ).

fof(c_0_4085,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1883]) ).

fof(c_0_4086,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1884]) ).

fof(c_0_4087,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1885]) ).

fof(c_0_4088,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oordered__semidom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1886]) ).

fof(c_0_4089,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1887]) ).

fof(c_0_4090,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Oidom(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1888]) ).

fof(c_0_4091,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1889]) ).

fof(c_0_4092,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1890]) ).

fof(c_0_4093,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1891]) ).

fof(c_0_4094,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1892]) ).

fof(c_0_4095,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1893]) ).

fof(c_0_4096,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1894]) ).

fof(c_0_4097,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1895]) ).

fof(c_0_4098,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1896]) ).

fof(c_0_4099,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1897]) ).

fof(c_0_4100,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1898]) ).

fof(c_0_4101,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1899]) ).

fof(c_0_4102,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1900]) ).

fof(c_0_4103,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1901]) ).

fof(c_0_4104,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1902]) ).

fof(c_0_4105,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1903]) ).

fof(c_0_4106,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1904]) ).

fof(c_0_4107,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1905]) ).

fof(c_0_4108,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1906]) ).

fof(c_0_4109,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1907]) ).

fof(c_0_4110,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1908]) ).

fof(c_0_4111,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1909]) ).

fof(c_0_4112,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1910]) ).

fof(c_0_4113,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1911]) ).

fof(c_0_4114,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1912]) ).

fof(c_0_4115,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1913]) ).

fof(c_0_4116,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oaxclass__abs__if(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1914]) ).

fof(c_0_4117,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1915]) ).

fof(c_0_4118,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1916]) ).

fof(c_0_4119,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1917]) ).

fof(c_0_4120,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Olordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1918]) ).

fof(c_0_4121,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Opordered__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1919]) ).

fof(c_0_4122,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__abs(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1920]) ).

fof(c_0_4123,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__meet(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1921]) ).

fof(c_0_4124,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Olordered__ab__group__join(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1922]) ).

fof(c_0_4125,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1923]) ).

fof(c_0_4126,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1924]) ).

fof(c_0_4127,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1925]) ).

fof(c_0_4128,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1926]) ).

fof(c_0_4129,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1927]) ).

fof(c_0_4130,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1928]) ).

fof(c_0_4131,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1929]) ).

fof(c_0_4132,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1930]) ).

fof(c_0_4133,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1931]) ).

fof(c_0_4134,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1932]) ).

fof(c_0_4135,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1933]) ).

fof(c_0_4136,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1934]) ).

fof(c_0_4137,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1935]) ).

fof(c_0_4138,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1936]) ).

fof(c_0_4139,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1937]) ).

fof(c_0_4140,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1938]) ).

fof(c_0_4141,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1939]) ).

fof(c_0_4142,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1940]) ).

fof(c_0_4143,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1941]) ).

fof(c_0_4144,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocomm__monoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1942]) ).

fof(c_0_4145,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1943]) ).

fof(c_0_4146,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1944]) ).

fof(c_0_4147,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1945]) ).

fof(c_0_4148,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1946]) ).

fof(c_0_4149,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1947]) ).

fof(c_0_4150,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oordered__semiring__strict(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1948]) ).

fof(c_0_4151,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1949]) ).

fof(c_0_4152,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1950]) ).

fof(c_0_4153,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1951]) ).

fof(c_0_4154,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1952]) ).

fof(c_0_4155,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1953]) ).

fof(c_0_4156,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1954]) ).

fof(c_0_4157,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1955]) ).

fof(c_0_4158,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1956]) ).

fof(c_0_4159,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1957]) ).

fof(c_0_4160,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1958]) ).

fof(c_0_4161,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1959]) ).

fof(c_0_4162,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1960]) ).

fof(c_0_4163,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1961]) ).

fof(c_0_4164,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1962]) ).

fof(c_0_4165,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1963]) ).

fof(c_0_4166,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1964]) ).

fof(c_0_4167,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1965]) ).

fof(c_0_4168,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1966]) ).

fof(c_0_4169,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1967]) ).

fof(c_0_4170,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1968]) ).

fof(c_0_4171,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1969]) ).

fof(c_0_4172,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1970]) ).

fof(c_0_4173,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1971]) ).

fof(c_0_4174,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1972]) ).

fof(c_0_4175,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1973]) ).

fof(c_0_4176,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1974]) ).

fof(c_0_4177,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1975]) ).

fof(c_0_4178,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1976]) ).

fof(c_0_4179,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1977]) ).

fof(c_0_4180,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1978]) ).

fof(c_0_4181,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1979]) ).

fof(c_0_4182,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1980]) ).

fof(c_0_4183,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1981]) ).

fof(c_0_4184,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1982]) ).

fof(c_0_4185,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1983]) ).

fof(c_0_4186,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1984]) ).

fof(c_0_4187,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1985]) ).

fof(c_0_4188,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1986]) ).

fof(c_0_4189,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1987]) ).

fof(c_0_4190,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1988]) ).

fof(c_0_4191,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1989]) ).

fof(c_0_4192,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1990]) ).

fof(c_0_4193,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1991]) ).

fof(c_0_4194,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1992]) ).

fof(c_0_4195,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X87)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1993]) ).

fof(c_0_4196,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1994]) ).

fof(c_0_4197,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1995]) ).

fof(c_0_4198,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1996]) ).

fof(c_0_4199,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1997]) ).

fof(c_0_4200,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1998]) ).

fof(c_0_4201,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_1999]) ).

fof(c_0_4202,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2000]) ).

fof(c_0_4203,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2001]) ).

fof(c_0_4204,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2002]) ).

fof(c_0_4205,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2003]) ).

fof(c_0_4206,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2004]) ).

fof(c_0_4207,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2005]) ).

fof(c_0_4208,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2006]) ).

fof(c_0_4209,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2007]) ).

fof(c_0_4210,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2008]) ).

fof(c_0_4211,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2009]) ).

fof(c_0_4212,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2010]) ).

fof(c_0_4213,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2011]) ).

fof(c_0_4214,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2012]) ).

fof(c_0_4215,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2013]) ).

fof(c_0_4216,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2014]) ).

fof(c_0_4217,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2015]) ).

fof(c_0_4218,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2016]) ).

fof(c_0_4219,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2017]) ).

fof(c_0_4220,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2018]) ).

fof(c_0_4221,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2019]) ).

fof(c_0_4222,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2020]) ).

fof(c_0_4223,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2021]) ).

fof(c_0_4224,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2022]) ).

fof(c_0_4225,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2023]) ).

fof(c_0_4226,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2024]) ).

fof(c_0_4227,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2025]) ).

fof(c_0_4228,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2026]) ).

fof(c_0_4229,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2027]) ).

fof(c_0_4230,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2028]) ).

fof(c_0_4231,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2029]) ).

fof(c_0_4232,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2030]) ).

fof(c_0_4233,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__ring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2031]) ).

fof(c_0_4234,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2032]) ).

fof(c_0_4235,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2033]) ).

fof(c_0_4236,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2034]) ).

fof(c_0_4237,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2035]) ).

fof(c_0_4238,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2036]) ).

fof(c_0_4239,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2037]) ).

fof(c_0_4240,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2038]) ).

fof(c_0_4241,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2039]) ).

fof(c_0_4242,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2040]) ).

fof(c_0_4243,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2041]) ).

fof(c_0_4244,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2042]) ).

fof(c_0_4245,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2043]) ).

fof(c_0_4246,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Opordered__comm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2044]) ).

fof(c_0_4247,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2045]) ).

fof(c_0_4248,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2046]) ).

fof(c_0_4249,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2047]) ).

fof(c_0_4250,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2048]) ).

fof(c_0_4251,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2049]) ).

fof(c_0_4252,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2050]) ).

fof(c_0_4253,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2051]) ).

fof(c_0_4254,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2052]) ).

fof(c_0_4255,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2053]) ).

fof(c_0_4256,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2054]) ).

fof(c_0_4257,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2055]) ).

fof(c_0_4258,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2056]) ).

fof(c_0_4259,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Ocomm__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2057]) ).

fof(c_0_4260,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2058]) ).

fof(c_0_4261,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2059]) ).

fof(c_0_4262,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2060]) ).

fof(c_0_4263,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2061]) ).

fof(c_0_4264,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2062]) ).

fof(c_0_4265,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2063]) ).

fof(c_0_4266,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2064]) ).

fof(c_0_4267,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2065]) ).

fof(c_0_4268,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2066]) ).

fof(c_0_4269,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2067]) ).

fof(c_0_4270,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2068]) ).

fof(c_0_4271,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2069]) ).

fof(c_0_4272,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2070]) ).

fof(c_0_4273,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2071]) ).

fof(c_0_4274,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2072]) ).

fof(c_0_4275,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2073]) ).

fof(c_0_4276,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2074]) ).

fof(c_0_4277,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2075]) ).

fof(c_0_4278,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2076]) ).

fof(c_0_4279,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2077]) ).

fof(c_0_4280,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2078]) ).

fof(c_0_4281,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Opordered__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2079]) ).

fof(c_0_4282,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2080]) ).

fof(c_0_4283,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2081]) ).

fof(c_0_4284,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2082]) ).

fof(c_0_4285,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2083]) ).

fof(c_0_4286,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2084]) ).

fof(c_0_4287,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2085]) ).

fof(c_0_4288,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2086]) ).

fof(c_0_4289,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2087]) ).

fof(c_0_4290,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2088]) ).

fof(c_0_4291,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2089]) ).

fof(c_0_4292,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2090]) ).

fof(c_0_4293,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2091]) ).

fof(c_0_4294,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2092]) ).

fof(c_0_4295,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2093]) ).

fof(c_0_4296,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__ring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2094]) ).

fof(c_0_4297,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2095]) ).

fof(c_0_4298,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2096]) ).

fof(c_0_4299,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2097]) ).

fof(c_0_4300,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2098]) ).

fof(c_0_4301,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2099]) ).

fof(c_0_4302,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2100]) ).

fof(c_0_4303,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2101]) ).

fof(c_0_4304,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2102]) ).

fof(c_0_4305,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2103]) ).

fof(c_0_4306,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2104]) ).

fof(c_0_4307,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2105]) ).

fof(c_0_4308,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X87)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2106]) ).

fof(c_0_4309,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2107]) ).

fof(c_0_4310,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2108]) ).

fof(c_0_4311,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2109]) ).

fof(c_0_4312,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2110]) ).

fof(c_0_4313,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2111]) ).

fof(c_0_4314,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2112]) ).

fof(c_0_4315,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2113]) ).

fof(c_0_4316,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2114]) ).

fof(c_0_4317,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2115]) ).

fof(c_0_4318,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2116]) ).

fof(c_0_4319,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2117]) ).

fof(c_0_4320,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2118]) ).

fof(c_0_4321,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2119]) ).

fof(c_0_4322,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2120]) ).

fof(c_0_4323,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Oring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2121]) ).

fof(c_0_4324,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Oab__group__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2122]) ).

fof(c_0_4325,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2123]) ).

fof(c_0_4326,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2124]) ).

fof(c_0_4327,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2125]) ).

fof(c_0_4328,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2126]) ).

fof(c_0_4329,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2127]) ).

fof(c_0_4330,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2128]) ).

fof(c_0_4331,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2129]) ).

fof(c_0_4332,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2130]) ).

fof(c_0_4333,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2131]) ).

fof(c_0_4334,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__1__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2132]) ).

fof(c_0_4335,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Ominus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2133]) ).

fof(c_0_4336,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2134]) ).

fof(c_0_4337,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2135]) ).

fof(c_0_4338,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2136]) ).

fof(c_0_4339,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2137]) ).

fof(c_0_4340,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2138]) ).

fof(c_0_4341,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2139]) ).

fof(c_0_4342,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oring__1(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2140]) ).

fof(c_0_4343,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2141]) ).

fof(c_0_4344,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2142]) ).

fof(c_0_4345,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2143]) ).

fof(c_0_4346,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2144]) ).

fof(c_0_4347,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2145]) ).

fof(c_0_4348,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2146]) ).

fof(c_0_4349,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2147]) ).

fof(c_0_4350,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2148]) ).

fof(c_0_4351,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2149]) ).

fof(c_0_4352,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2150]) ).

fof(c_0_4353,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2151]) ).

fof(c_0_4354,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2152]) ).

fof(c_0_4355,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2153]) ).

fof(c_0_4356,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2154]) ).

fof(c_0_4357,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2155]) ).

fof(c_0_4358,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2156]) ).

fof(c_0_4359,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2157]) ).

fof(c_0_4360,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2158]) ).

fof(c_0_4361,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2159]) ).

fof(c_0_4362,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2160]) ).

fof(c_0_4363,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2161]) ).

fof(c_0_4364,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2162]) ).

fof(c_0_4365,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2163]) ).

fof(c_0_4366,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2164]) ).

fof(c_0_4367,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2165]) ).

fof(c_0_4368,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2166]) ).

fof(c_0_4369,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2167]) ).

fof(c_0_4370,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2168]) ).

fof(c_0_4371,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2169]) ).

fof(c_0_4372,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2170]) ).

fof(c_0_4373,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2171]) ).

fof(c_0_4374,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2172]) ).

fof(c_0_4375,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2173]) ).

fof(c_0_4376,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2174]) ).

fof(c_0_4377,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2175]) ).

fof(c_0_4378,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2176]) ).

fof(c_0_4379,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2177]) ).

fof(c_0_4380,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2178]) ).

fof(c_0_4381,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Oone(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2179]) ).

fof(c_0_4382,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2180]) ).

fof(c_0_4383,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Otimes(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2181]) ).

fof(c_0_4384,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2182]) ).

fof(c_0_4385,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocancel__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2183]) ).

fof(c_0_4386,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0__cancel(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2184]) ).

fof(c_0_4387,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring__0(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2185]) ).

fof(c_0_4388,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_Ring__and__Field_Osemiring(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2186]) ).

fof(c_0_4389,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Ocomm__monoid__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2187]) ).

fof(c_0_4390,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Ozero(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2188]) ).

fof(c_0_4391,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Oab__semigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2189]) ).

fof(c_0_4392,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Osemigroup__add(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2190]) ).

fof(c_0_4393,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_HOL_Oplus(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2191]) ).

fof(c_0_4394,plain,
    ! [X87] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X87)
      | class_OrderedGroup_Omonoid__mult(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2192]) ).

fof(c_0_4395,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Oord(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2193]) ).

fof(c_0_4396,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Oorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2194]) ).

fof(c_0_4397,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Omeet__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2195]) ).

fof(c_0_4398,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Ojoin__semilorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2196]) ).

fof(c_0_4399,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_LOrder_Olorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2197]) ).

fof(c_0_4400,plain,
    ! [X87] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X87)
      | class_Orderings_Olinorder(X87) ),
    inference(fof_simplification,[status(thm)],[c_0_2198]) ).

fof(c_0_4401,axiom,
    ! [X53] :
      ( c_IntDef_Oint(X53) != c_0
      | X53 = c_0 ),
    c_0_2199 ).

fof(c_0_4402,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X50)
      | c_0 != c_1 ),
    inference(fof_simplification,[status(thm)],[c_0_2200]) ).

fof(c_0_4403,plain,
    ! [X50] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X50)
      | c_1 != c_0 ),
    inference(fof_simplification,[status(thm)],[c_0_2201]) ).

fof(c_0_4404,plain,
    ! [X98,X99,X100,X101,X102,X103] :
      ( ~ c_in(X98,c_Relation_Orel__comp(X100,X99,X101,X102,X103),tc_prod(X103,X102))
      | c_in(c_Pair(c_Main_Orel__compE__2(X100,X99,X98,X101,X102,X103),c_Main_Orel__compE__3(X100,X99,X98,X101,X102,X103),X101,X102),X100,tc_prod(X101,X102)) ),
    inference(variable_rename,[status(thm)],[c_0_2202]) ).

fof(c_0_4405,plain,
    ! [X98,X99,X100,X101,X102,X103] :
      ( ~ c_in(X98,c_Relation_Orel__comp(X100,X99,X101,X102,X103),tc_prod(X103,X102))
      | c_in(c_Pair(c_Main_Orel__compE__1(X100,X99,X98,X101,X102,X103),c_Main_Orel__compE__2(X100,X99,X98,X101,X102,X103),X103,X101),X99,tc_prod(X103,X101)) ),
    inference(variable_rename,[status(thm)],[c_0_2203]) ).

fof(c_0_4406,plain,
    ! [X98,X99,X100,X101,X102,X103] :
      ( ~ c_in(X98,c_Relation_Orel__comp(X100,X99,X101,X102,X103),tc_prod(X103,X102))
      | X98 = c_Pair(c_Main_Orel__compE__1(X100,X99,X98,X101,X102,X103),c_Main_Orel__compE__3(X100,X99,X98,X101,X102,X103),X103,X102) ),
    inference(variable_rename,[status(thm)],[c_0_2204]) ).

fof(c_0_4407,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X98,c_Datatype__Universe_Odprod(X97,X96,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | X98 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X98,X97,X96,X100,X99),c_Main_OdprodE__2(X98,X97,X96,X100,X99),X100,X99),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X98,X97,X96,X100,X99),c_Main_OdprodE__4(X98,X97,X96,X100,X99),X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))) ),
    inference(variable_rename,[status(thm)],[c_0_2205]) ).

fof(c_0_4408,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ~ c_Yahalom_OKeyWithNonce(X22,X21,c_List_Olist_OCons(c_Event_Oevent_OSays(X20,X23,X19),X18,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X22,X21,X18)
      | X19 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X23,X22,X21,X19)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X22),c_Message_Omsg_OMPair(v_sko__2Va(X23,X22,X21,X19),c_Message_Omsg_ONonce(X21))))),v_sko__2Vb(X23,X22,X21,X19)) ),
    inference(variable_rename,[status(thm)],[c_0_2206]) ).

fof(c_0_4409,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X98,c_Datatype__Universe_Odprod(X97,X96,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdprodE__2(X98,X97,X96,X100,X99),c_Main_OdprodE__4(X98,X97,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X96,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99)))) ),
    inference(variable_rename,[status(thm)],[c_0_2207]) ).

fof(c_0_4410,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X98,c_Datatype__Universe_Odprod(X97,X96,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdprodE__1(X98,X97,X96,X100,X99),c_Main_OdprodE__3(X98,X97,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X97,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99)))) ),
    inference(variable_rename,[status(thm)],[c_0_2208]) ).

fof(c_0_4411,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X96,c_Datatype__Universe_Odsum(X98,X97,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdsumE__1(X98,X96,X100,X99),c_Main_OdsumE__2(X98,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X98,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdsumE__3(X97,X96,X100,X99),c_Main_OdsumE__4(X97,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X97,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99)))) ),
    inference(variable_rename,[status(thm)],[c_0_2209]) ).

fof(c_0_4412,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X96,c_Datatype__Universe_Odsum(X98,X97,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdsumE__3(X97,X96,X100,X99),c_Main_OdsumE__4(X97,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X97,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | X96 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X98,X96,X100,X99),X100,X99),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X98,X96,X100,X99),X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))) ),
    inference(variable_rename,[status(thm)],[c_0_2210]) ).

fof(c_0_4413,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X96,c_Datatype__Universe_Odsum(X98,X97,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | c_in(c_Pair(c_Main_OdsumE__1(X98,X96,X100,X99),c_Main_OdsumE__2(X98,X96,X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))),X98,tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | X96 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X97,X96,X100,X99),X100,X99),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X97,X96,X100,X99),X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))) ),
    inference(variable_rename,[status(thm)],[c_0_2211]) ).

fof(c_0_4414,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X68,X67,X71),X69,tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | c_in(c_Pair(X67,c_Main_Olistrel__Cons1__2(X70,X69,X68,X67,X71),tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71))) ),
    inference(variable_rename,[status(thm)],[c_0_2212]) ).

fof(c_0_4415,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(X69,c_List_Olist_OCons(X68,X67,X71),tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X70,X69,X68,X67,X71),X67,tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71))) ),
    inference(variable_rename,[status(thm)],[c_0_2213]) ).

fof(c_0_4416,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X23,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X15,X13)))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X24,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X24),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X16,X14)))),X19)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | X24 = X23 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2214])])]) ).

fof(c_0_4417,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X22,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X15,X13)))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X24,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X24),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X16,X14)))),X19)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | X23 = X21 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2215])])]) ).

fof(c_0_4418,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X22,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X15,X13)))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X24,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X24),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X16,X14)))),X19)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | X16 = X15 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2216])])]) ).

fof(c_0_4419,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X22,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X21),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X15,X13)))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X24,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X24),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X20),c_Message_Omsg_OMPair(X16,X14)))),X19)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | X14 = X13 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2217])])]) ).

fof(c_0_4420,plain,
    ! [X96,X97,X98,X99,X100,X101,X102,X103] :
      ( ~ c_in(c_Pair(X99,X98,tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102))),X96,tc_prod(tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102))))
      | ~ c_in(c_Pair(X101,X100,tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102))),X97,tc_prod(tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102))))
      | c_in(c_Pair(c_Datatype__Universe_OScons(X101,X99,X103,X102),c_Datatype__Universe_OScons(X100,X98,X103,X102),tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102))),c_Datatype__Universe_Odprod(X97,X96,X103,X102),tc_prod(tc_set(tc_Datatype__Universe_Onode(X103,X102)),tc_set(tc_Datatype__Universe_Onode(X103,X102)))) ),
    inference(variable_rename,[status(thm)],[c_0_2218]) ).

fof(c_0_4421,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X68,X67,X71),X69,tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | c_in(c_Pair(X68,c_Main_Olistrel__Cons1__1(X70,X69,X68,X67,X71),X71,X71),X70,tc_prod(X71,X71)) ),
    inference(variable_rename,[status(thm)],[c_0_2219]) ).

fof(c_0_4422,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(X69,c_List_Olist_OCons(X68,X67,X71),tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X70,X69,X68,X67,X71),X68,X71,X71),X70,tc_prod(X71,X71)) ),
    inference(variable_rename,[status(thm)],[c_0_2220]) ).

fof(c_0_4423,plain,
    ! [X96,X97,X98,X99,X100] :
      ( ~ c_in(X96,c_Datatype__Universe_Odsum(X98,X97,X100,X99),tc_prod(tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))))
      | X96 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X98,X96,X100,X99),X100,X99),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X98,X96,X100,X99),X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99)))
      | X96 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X97,X96,X100,X99),X100,X99),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X97,X96,X100,X99),X100,X99),tc_set(tc_Datatype__Universe_Onode(X100,X99)),tc_set(tc_Datatype__Universe_Onode(X100,X99))) ),
    inference(variable_rename,[status(thm)],[c_0_2221]) ).

fof(c_0_4424,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X53,c_Relation_OImage(X52,X54,X55,X56),X56)
      | c_in(c_Pair(c_Main_OImageE__1(X54,X53,X52,X55,X56),X53,X55,X56),X52,tc_prod(X55,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_2222]) ).

fof(c_0_4425,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X68,X67,X71),X69,tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | X69 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X70,X69,X68,X67,X71),c_Main_Olistrel__Cons1__2(X70,X69,X68,X67,X71),X71) ),
    inference(variable_rename,[status(thm)],[c_0_2223]) ).

fof(c_0_4426,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(X69,c_List_Olist_OCons(X68,X67,X71),tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olistrel(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | X69 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X70,X69,X68,X67,X71),c_Main_Olistrel__Cons2__2(X70,X69,X68,X67,X71),X71) ),
    inference(variable_rename,[status(thm)],[c_0_2224]) ).

fof(c_0_4427,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,c_Datatype__Universe_Ouprod(X54,X53,X56,X55),tc_set(tc_Datatype__Universe_Onode(X56,X55)))
      | X52 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X54,X53,X52,X56,X55),c_Main_OuprodE__2(X54,X53,X52,X56,X55),X56,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2225]) ).

fof(c_0_4428,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ~ c_in(X15,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X18,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X17),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X16),c_Message_Omsg_OMPair(X14,X13)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X17),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X18),c_Message_Omsg_OKey(X16))))),c_List_Oset(X15,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OKey(X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X15)),tc_Message_Omsg)
      | c_in(X17,c_Event_Obad,tc_Message_Oagent)
      | c_in(X18,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X14,c_Message_Omsg_OMPair(X13,c_Message_Omsg_OKey(X16)))),c_List_Oset(X15,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2226])])]) ).

fof(c_0_4429,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X23,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X21),c_Message_Omsg_OMPair(X16,c_Message_Omsg_ONonce(X19))))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X20),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X21),c_Event_Oknows(c_Message_Oagent_OSpy,X17),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X20),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X17)),tc_Message_Omsg)
      | X20 = X19
      | X21 = c_Public_OshrK(v_sko__2VY(X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2227])])]) ).

fof(c_0_4430,plain,
    ! [X97,X98,X99,X100,X101,X102,X103,X104] :
      ( ~ c_in(c_Pair(X100,X99,X103,X102),X98,tc_prod(X103,X102))
      | ~ c_in(c_Pair(X101,X100,X104,X103),X97,tc_prod(X104,X103))
      | c_in(c_Pair(X101,X99,X104,X102),c_Relation_Orel__comp(X98,X97,X103,X102,X104),tc_prod(X104,X102)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2228])])]) ).

fof(c_0_4431,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X23,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X23),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X22),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X21),c_Message_Omsg_OMPair(X16,c_Message_Omsg_ONonce(X19))))),X18)),c_List_Oset(X17,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_ONonce(X20),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X17)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X20),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X21),c_Event_Oknows(c_Message_Oagent_OSpy,X17),tc_Message_Omsg)),tc_Message_Omsg)
      | X20 = X19
      | X21 = c_Public_OshrK(v_sko__2VY(X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2229])])]) ).

fof(c_0_4432,plain,
    ! [X62,X63,X64,X65] :
      ( ~ c_in(c_Pair(c_Pair(X63,X62,tc_nat,tc_nat),c_Pair(X65,X64,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_plus(X63,X64,tc_nat) = c_plus(X65,X62,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2230]) ).

fof(c_0_4433,plain,
    ! [X22,X23,X24,X25,X26,X27,X28] :
      ( ~ c_in(X25,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X28,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X28),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X27),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OMPair(X23,X22)))),X26)),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X27),c_Message_Omsg_OCrypt(c_Public_OshrK(X27),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X28),c_Message_Omsg_OMPair(X23,X22))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2231])])]) ).

fof(c_0_4434,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ~ c_in(X22,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X25,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OCrypt(c_Public_OshrK(X28),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X29),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X27),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X31,X26,c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(X32),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X33),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X30),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X21,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | X27 = X30 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2232])])]) ).

fof(c_0_4435,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ~ c_in(X22,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X25,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OCrypt(c_Public_OshrK(X30),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X32),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X27),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X29,X26,c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(X31),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X33),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X28),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X21,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | X32 = X33 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2233])])]) ).

fof(c_0_4436,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ~ c_in(X22,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X25,c_Message_Omsg_OMPair(X23,c_Message_Omsg_OCrypt(c_Public_OshrK(X30),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X31),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X27),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(X29,X26,c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(X32),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X33),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X28),X21))))),c_List_Oset(X22,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X21,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X22)),tc_Message_Omsg)
      | X30 = X32 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2234])])]) ).

fof(c_0_4437,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( ~ c_in(X27,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X30,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X30),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X29),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X24)),c_Message_Omsg_OMPair(X26,X25)))),X28)),c_List_Oset(X27,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2235])])]) ).

fof(c_0_4438,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(variable_rename,[status(thm)],[c_0_2236]) ).

fof(c_0_4439,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ~ c_in(X15,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X17),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X16),c_Message_Omsg_OMPair(X14,X13)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X15)),tc_Message_Omsg)
      | c_in(X18,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X18,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X17),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X16),c_Message_Omsg_OMPair(X14,X13)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X17),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X18),c_Message_Omsg_OKey(X16))))),c_List_Oset(X15,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2237])])]) ).

fof(c_0_4440,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(variable_rename,[status(thm)],[c_0_2238]) ).

fof(c_0_4441,plain,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(variable_rename,[status(thm)],[c_0_2239]) ).

fof(c_0_4442,plain,
    ! [X96,X97,X98,X99,X100,X101] :
      ( ~ c_in(c_Pair(X99,X98,tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))),X97,tc_prod(tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))))
      | c_in(c_Pair(c_Datatype__Universe_OIn0(X99,X101,X100),c_Datatype__Universe_OIn0(X98,X101,X100),tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))),c_Datatype__Universe_Odsum(X97,X96,X101,X100),tc_prod(tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100)))) ),
    inference(variable_rename,[status(thm)],[c_0_2240]) ).

fof(c_0_4443,plain,
    ! [X96,X97,X98,X99,X100,X101] :
      ( ~ c_in(c_Pair(X99,X98,tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))),X96,tc_prod(tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))))
      | c_in(c_Pair(c_Datatype__Universe_OIn1(X99,X101,X100),c_Datatype__Universe_OIn1(X98,X101,X100),tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100))),c_Datatype__Universe_Odsum(X97,X96,X101,X100),tc_prod(tc_set(tc_Datatype__Universe_Onode(X101,X100)),tc_set(tc_Datatype__Universe_Onode(X101,X100)))) ),
    inference(variable_rename,[status(thm)],[c_0_2241]) ).

fof(c_0_4444,plain,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) ),
    inference(variable_rename,[status(thm)],[c_0_2242]) ).

fof(c_0_4445,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,c_Datatype__Universe_Ouprod(X54,X53,X56,X55),tc_set(tc_Datatype__Universe_Onode(X56,X55)))
      | c_in(c_Main_OuprodE__2(X54,X53,X52,X56,X55),X53,tc_set(tc_Datatype__Universe_Onode(X56,X55))) ),
    inference(variable_rename,[status(thm)],[c_0_2243]) ).

fof(c_0_4446,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,c_Datatype__Universe_Ouprod(X54,X53,X56,X55),tc_set(tc_Datatype__Universe_Onode(X56,X55)))
      | c_in(c_Main_OuprodE__1(X54,X53,X52,X56,X55),X54,tc_set(tc_Datatype__Universe_Onode(X56,X55))) ),
    inference(variable_rename,[status(thm)],[c_0_2244]) ).

fof(c_0_4447,plain,
    ! [X62,X63] :
      ( ~ c_less(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2245]) ).

fof(c_0_4448,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2246]) ).

fof(c_0_4449,plain,
    ! [X62,X63] :
      ( ~ c_less(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | ~ c_lessequals(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2247]) ).

fof(c_0_4450,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2248]) ).

fof(c_0_4451,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X53,c_Relation_OImage(X52,X54,X55,X56),X56)
      | c_in(c_Main_OImageE__1(X54,X53,X52,X55,X56),X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2249]) ).

fof(c_0_4452,plain,
    ! [X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2250]) ).

fof(c_0_4453,plain,
    ! [X61] :
      ( ~ c_less(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2251]) ).

fof(c_0_4454,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X70,X69,X72),c_List_Olist_OCons(X68,X67,X72),tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72)))
      | c_in(c_Pair(X70,X68,X72,X72),X71,tc_prod(X72,X72))
      | c_in(c_Pair(X69,X67,tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72))) ),
    inference(variable_rename,[status(thm)],[c_0_2252]) ).

fof(c_0_4455,plain,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X55,X52,X56),c_List_Olist_OCons(X54,X51,X56),tc_List_Olist(X56),tc_List_Olist(X56)),c_List_Olexord(X53,X56),tc_prod(tc_List_Olist(X56),tc_List_Olist(X56)))
      | c_in(c_Pair(X55,X54,X56,X56),X53,tc_prod(X56,X56))
      | c_in(c_Pair(X52,X51,tc_List_Olist(X56),tc_List_Olist(X56)),c_List_Olexord(X53,X56),tc_prod(tc_List_Olist(X56),tc_List_Olist(X56))) ),
    inference(variable_rename,[status(thm)],[c_0_2253]) ).

fof(c_0_4456,plain,
    ! [X62,X63,X64,X65] :
      ( c_plus(X63,X64,tc_nat) != c_plus(X65,X62,tc_nat)
      | c_in(c_Pair(c_Pair(X63,X62,tc_nat,tc_nat),c_Pair(X65,X64,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(variable_rename,[status(thm)],[c_0_2254]) ).

fof(c_0_4457,plain,
    ! [X99,X100,X101,X102] :
      ( ~ c_in(X99,c_Relation_Oconverse(X100,X101,X102),tc_prod(X102,X101))
      | c_in(c_Pair(c_Main_OconverseE__1(X100,X99,X101,X102),c_Main_OconverseE__2(X100,X99,X101,X102),X101,X102),X100,tc_prod(X101,X102)) ),
    inference(variable_rename,[status(thm)],[c_0_2255]) ).

fof(c_0_4458,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | ~ c_in(c_Pair(X52,X51,X54,X54),c_Transitive__Closure_Ortrancl(X53,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2256]) ).

fof(c_0_4459,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | ~ c_in(c_Pair(X52,X51,X54,X54),c_Transitive__Closure_Ortrancl(X53,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2257]) ).

fof(c_0_4460,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X70,X69,X72),c_List_Olist_OCons(X68,X67,X72),tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72)))
      | c_in(c_Pair(X69,X67,tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72)))
      | c_Nat_Osize(X69,tc_List_Olist(X72)) = c_Nat_Osize(X67,tc_List_Olist(X72)) ),
    inference(variable_rename,[status(thm)],[c_0_2258]) ).

fof(c_0_4461,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X70,X69,X72),c_List_Olist_OCons(X68,X67,X72),tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72)))
      | c_in(c_Pair(X70,X68,X72,X72),X71,tc_prod(X72,X72))
      | X70 = X68 ),
    inference(variable_rename,[status(thm)],[c_0_2259]) ).

fof(c_0_4462,plain,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X55,X52,X56),c_List_Olist_OCons(X54,X51,X56),tc_List_Olist(X56),tc_List_Olist(X56)),c_List_Olexord(X53,X56),tc_prod(tc_List_Olist(X56),tc_List_Olist(X56)))
      | c_in(c_Pair(X55,X54,X56,X56),X53,tc_prod(X56,X56))
      | X55 = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2260]) ).

fof(c_0_4463,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Datatype__Universe_Ousum(X59,X58,X61,X60),tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | c_in(c_Main_OusumE__1(X59,X57,X61,X60),X59,tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | c_in(c_Main_OusumE__2(X58,X57,X61,X60),X58,tc_set(tc_Datatype__Universe_Onode(X61,X60))) ),
    inference(variable_rename,[status(thm)],[c_0_2261]) ).

fof(c_0_4464,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Datatype__Universe_Ousum(X59,X58,X61,X60),tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | c_in(c_Main_OusumE__2(X58,X57,X61,X60),X58,tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | X57 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X59,X57,X61,X60),X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2262]) ).

fof(c_0_4465,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Datatype__Universe_Ousum(X59,X58,X61,X60),tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | c_in(c_Main_OusumE__1(X59,X57,X61,X60),X59,tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | X57 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X58,X57,X61,X60),X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2263]) ).

fof(c_0_4466,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(c_Pair(X68,X67,tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olex(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71)))
      | c_in(c_Pair(c_List_Olist_OCons(X69,X68,X71),c_List_Olist_OCons(X69,X67,X71),tc_List_Olist(X71),tc_List_Olist(X71)),c_List_Olex(X70,X71),tc_prod(tc_List_Olist(X71),tc_List_Olist(X71))) ),
    inference(variable_rename,[status(thm)],[c_0_2264]) ).

fof(c_0_4467,plain,
    ! [X76,X77,X78,X79,X80] :
      ( ~ c_in(c_Pair(X77,X76,tc_List_Olist(X80),tc_List_Olist(X80)),c_List_Olexord(X79,X80),tc_prod(tc_List_Olist(X80),tc_List_Olist(X80)))
      | c_in(c_Pair(c_List_Olist_OCons(X78,X77,X80),c_List_Olist_OCons(X78,X76,X80),tc_List_Olist(X80),tc_List_Olist(X80)),c_List_Olexord(X79,X80),tc_prod(tc_List_Olist(X80),tc_List_Olist(X80))) ),
    inference(variable_rename,[status(thm)],[c_0_2265]) ).

fof(c_0_4468,plain,
    ! [X26,X27] :
      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X27,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X26,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
      | c_in(c_Pair(X27,X26,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(variable_rename,[status(thm)],[c_0_2266]) ).

fof(c_0_4469,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Datatype__Universe_Ousum(X59,X58,X61,X60),tc_set(tc_Datatype__Universe_Onode(X61,X60)))
      | X57 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X59,X57,X61,X60),X61,X60)
      | X57 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X58,X57,X61,X60),X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2267]) ).

fof(c_0_4470,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_in(c_Pair(X70,X68,X72,X72),X71,tc_prod(X72,X72))
      | c_Nat_Osize(X69,tc_List_Olist(X72)) != c_Nat_Osize(X67,tc_List_Olist(X72))
      | c_in(c_Pair(c_List_Olist_OCons(X70,X69,X72),c_List_Olist_OCons(X68,X67,X72),tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72))) ),
    inference(variable_rename,[status(thm)],[c_0_2268]) ).

fof(c_0_4471,plain,
    ! [X26,X27] :
      ( ~ c_in(c_Pair(X27,X26,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X27,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X26,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_2269]) ).

fof(c_0_4472,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Sum__Type_OPlus(X59,X58,X61,X60),tc_sum(X61,X60))
      | X57 = c_Sum__Type_OInl(c_Main_OPlusE__1(X59,X57,X61,X60),X61,X60)
      | X57 = c_Sum__Type_OInr(c_Main_OPlusE__2(X58,X57,X60,X61),X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2270]) ).

fof(c_0_4473,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Sum__Type_OPlus(X59,X58,X61,X60),tc_sum(X61,X60))
      | c_in(c_Main_OPlusE__2(X58,X57,X60,X61),X58,X60)
      | X57 = c_Sum__Type_OInl(c_Main_OPlusE__1(X59,X57,X61,X60),X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2271]) ).

fof(c_0_4474,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Sum__Type_OPlus(X59,X58,X61,X60),tc_sum(X61,X60))
      | c_in(c_Main_OPlusE__1(X59,X57,X61,X60),X59,X61)
      | X57 = c_Sum__Type_OInr(c_Main_OPlusE__2(X58,X57,X60,X61),X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2272]) ).

fof(c_0_4475,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ~ c_in(X57,c_Sum__Type_OPlus(X59,X58,X61,X60),tc_sum(X61,X60))
      | c_in(c_Main_OPlusE__1(X59,X57,X61,X60),X59,X61)
      | c_in(c_Main_OPlusE__2(X58,X57,X60,X61),X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2273]) ).

fof(c_0_4476,plain,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X55,X54,X56,X56),X53,tc_prod(X56,X56))
      | c_in(c_Pair(c_List_Olist_OCons(X55,X52,X56),c_List_Olist_OCons(X54,X51,X56),tc_List_Olist(X56),tc_List_Olist(X56)),c_List_Olexord(X53,X56),tc_prod(tc_List_Olist(X56),tc_List_Olist(X56))) ),
    inference(variable_rename,[status(thm)],[c_0_2274]) ).

fof(c_0_4477,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | c_Wellfounded__Recursion_Oacyclic(X53,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2275]) ).

fof(c_0_4478,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | c_Wellfounded__Recursion_Owf(X53,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2276]) ).

fof(c_0_4479,plain,
    ! [X52,X53,X54,X55] :
      ( ~ c_in(X53,c_Relation_ODomain(X52,X55,X54),X55)
      | c_in(c_Pair(X53,c_Main_ODomainE__1(X53,X52,X55,X54),X55,X54),X52,tc_prod(X55,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2277]) ).

fof(c_0_4480,plain,
    ! [X52,X53,X54,X55] :
      ( ~ c_in(X53,c_Relation_ORange(X52,X54,X55),X55)
      | c_in(c_Pair(c_Main_ORangeE__1(X53,X52,X55,X54),X53,X54,X55),X52,tc_prod(X54,X55)) ),
    inference(variable_rename,[status(thm)],[c_0_2278]) ).

fof(c_0_4481,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X53,X54)
      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | c_in(c_Pair(X52,X51,X54,X54),c_Transitive__Closure_Ortrancl(X53,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2279]) ).

fof(c_0_4482,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Wellfounded__Recursion_Owf(X53,X54)
      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X51,X52,X54,X54),X53,tc_prod(X54,X54)),X54)
      | c_in(c_Pair(X52,X51,X54,X54),c_Transitive__Closure_Ortrancl(X53,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2280]) ).

fof(c_0_4483,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X53,c_Relation_OImage(X52,c_insert(X54,c_emptyset,X55),X55,X56),X56)
      | c_in(c_Pair(X54,X53,X55,X56),X52,tc_prod(X55,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_2281]) ).

fof(c_0_4484,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_in(c_Pair(c_List_Olist_OCons(X70,X69,X72),c_List_Olist_OCons(X68,X67,X72),tc_List_Olist(X72),tc_List_Olist(X72)),c_List_Olex(X71,X72),tc_prod(tc_List_Olist(X72),tc_List_Olist(X72)))
      | X70 = X68
      | c_Nat_Osize(X69,tc_List_Olist(X72)) = c_Nat_Osize(X67,tc_List_Olist(X72)) ),
    inference(variable_rename,[status(thm)],[c_0_2282]) ).

fof(c_0_4485,plain,
    ! [X55,X56,X57] :
      ( ~ c_Divides_Oop_Advd(X57,c_GCD_Ogcd(c_Pair(X56,X55,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X57,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2283]) ).

fof(c_0_4486,plain,
    ! [X55,X56,X57] :
      ( ~ c_Divides_Oop_Advd(X57,c_GCD_Ogcd(c_Pair(X56,X55,tc_nat,tc_nat)),tc_nat)
      | c_Divides_Oop_Advd(X57,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2284]) ).

fof(c_0_4487,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X54,X53,X55,X56),X52,tc_prod(X55,X56))
      | c_in(X53,c_Relation_OImage(X52,c_insert(X54,c_emptyset,X55),X55,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2285]) ).

fof(c_0_4488,plain,
    ! [X69,X70,X71,X72,X73,X74] :
      ( c_Nat_Osize(X69,tc_List_Olist(X74)) != c_Nat_Osize(X71,tc_List_Olist(X73))
      | c_Nat_Osize(X70,tc_List_Olist(X74)) != c_Nat_Osize(X72,tc_List_Olist(X73))
      | c_List_Ozip(c_append(X70,X69,X74),c_append(X72,X71,X73),X74,X73) = c_append(c_List_Ozip(X70,X72,X74,X73),c_List_Ozip(X69,X71,X74,X73),tc_prod(X74,X73)) ),
    inference(variable_rename,[status(thm)],[c_0_2286]) ).

fof(c_0_4489,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X54,X53,X56,X55),c_Relation_Oconverse(X52,X55,X56),tc_prod(X56,X55))
      | c_in(c_Pair(X53,X54,X55,X56),X52,tc_prod(X55,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_2287]) ).

fof(c_0_4490,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X53,X54,X55,X56),X52,tc_prod(X55,X56))
      | c_in(c_Pair(X54,X53,X56,X55),c_Relation_Oconverse(X52,X55,X56),tc_prod(X56,X55)) ),
    inference(variable_rename,[status(thm)],[c_0_2288]) ).

fof(c_0_4491,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2289]) ).

fof(c_0_4492,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2290])])]) ).

fof(c_0_4493,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2291]) ).

fof(c_0_4494,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2292])])]) ).

fof(c_0_4495,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2293]) ).

fof(c_0_4496,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(c_Pair(X53,X52,X54,X54),c_Transitive__Closure_Otrancl(X51,X54),tc_prod(X54,X54))
      | c_in(c_Pair(X53,X52,X54,X54),c_Transitive__Closure_Ortrancl(X51,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2294]) ).

fof(c_0_4497,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ~ c_in(X54,X55,X57)
      | ~ c_in(c_Pair(X54,X53,X57,X56),X52,tc_prod(X57,X56))
      | c_in(X53,c_Relation_OImage(X52,X55,X57,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2295]) ).

fof(c_0_4498,plain,
    ! [X99,X100,X101,X102] :
      ( ~ c_in(X99,c_Relation_Oconverse(X100,X101,X102),tc_prod(X102,X101))
      | X99 = c_Pair(c_Main_OconverseE__2(X100,X99,X101,X102),c_Main_OconverseE__1(X100,X99,X101,X102),X102,X101) ),
    inference(variable_rename,[status(thm)],[c_0_2296]) ).

fof(c_0_4499,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(c_Pair(X53,X52,X54,X54),X51,tc_prod(X54,X54))
      | c_in(c_Pair(X53,X52,X54,X54),c_Transitive__Closure_Otrancl(X51,X54),tc_prod(X54,X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2297]) ).

fof(c_0_4500,plain,
    ! [X86,X87,X88,X89,X90,X91] :
      ( ~ c_in(X86,X88,tc_set(tc_Datatype__Universe_Onode(X91,X90)))
      | ~ c_in(X87,X89,tc_set(tc_Datatype__Universe_Onode(X91,X90)))
      | c_in(c_Datatype__Universe_OScons(X87,X86,X91,X90),c_Datatype__Universe_Ouprod(X89,X88,X91,X90),tc_set(tc_Datatype__Universe_Onode(X91,X90))) ),
    inference(variable_rename,[status(thm)],[c_0_2298]) ).

fof(c_0_4501,plain,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2299]) ).

fof(c_0_4502,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ~ c_in(X17,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X19),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X20),c_Message_Omsg_OMPair(X16,c_Message_Omsg_ONonce(X18)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X17)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X21),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X22),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X18),X15))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X17)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X18),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X17)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2300])])]) ).

fof(c_0_4503,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_in(X69,c_List_Oset(X68,X71),X71)
      | c_Map_Omap__of(c_List_Ozip(X68,X67,X71,X70),X69,X71,X70) != c_Datatype_Ooption_ONone
      | c_Nat_Osize(X68,tc_List_Olist(X71)) != c_Nat_Osize(X67,tc_List_Olist(X70)) ),
    inference(variable_rename,[status(thm)],[c_0_2301]) ).

fof(c_0_4504,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_less(X69,c_Nat_Osize(X67,tc_List_Olist(X70)),tc_nat)
      | ~ c_less(X69,c_Nat_Osize(X68,tc_List_Olist(X71)),tc_nat)
      | c_List_Onth(c_List_Ozip(X68,X67,X71,X70),X69,tc_prod(X71,X70)) = c_Pair(c_List_Onth(X68,X69,X71),c_List_Onth(X67,X69,X70),X71,X70) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2302])])]) ).

fof(c_0_4505,plain,
    ! [X61] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2303]) ).

fof(c_0_4506,plain,
    ! [X61] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2304]) ).

fof(c_0_4507,plain,
    ! [X55,X56,X57] :
      ( ~ c_Divides_Oop_Advd(X57,X55,tc_nat)
      | ~ c_Divides_Oop_Advd(X57,X56,tc_nat)
      | c_Divides_Oop_Advd(X57,c_GCD_Ogcd(c_Pair(X56,X55,tc_nat,tc_nat)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2305]) ).

fof(c_0_4508,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_less(X70,c_Nat_Osize(X68,tc_List_Olist(X71)),tc_nat)
      | c_List_Olist__update(c_List_Olist__update(X68,X70,X69,X71),X70,X67,X71) = c_List_Olist__update(X68,X70,X67,X71) ),
    inference(variable_rename,[status(thm)],[c_0_2306]) ).

fof(c_0_4509,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X51,tc_List_Olist(X53),tc_List_Olist(X53)),c_List_Olexord(X52,X53),tc_prod(tc_List_Olist(X53),tc_List_Olist(X53)))
      | X51 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X51,X53),c_Main_Olexord__Nil__left__2(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2307]) ).

fof(c_0_4510,plain,
    ! [X62,X63] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2308]) ).

fof(c_0_4511,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X54,X53,X56,X55),X52,tc_prod(X56,X55))
      | c_in(X54,c_Relation_ODomain(X52,X56,X55),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2309]) ).

fof(c_0_4512,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(c_Pair(X54,X53,X56,X55),X52,tc_prod(X56,X55))
      | c_in(X53,c_Relation_ORange(X52,X56,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_2310]) ).

fof(c_0_4513,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2311]) ).

fof(c_0_4514,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2312]) ).

fof(c_0_4515,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2313]) ).

fof(c_0_4516,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2314]) ).

fof(c_0_4517,plain,
    ! [X67,X68,X69] :
      ( ~ c_in(c_Pair(c_List_Olist_ONil,X67,tc_List_Olist(X69),tc_List_Olist(X69)),c_List_Olistrel(X68,X69),tc_prod(tc_List_Olist(X69),tc_List_Olist(X69)))
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2315])])]) ).

fof(c_0_4518,plain,
    ! [X67,X68,X69] :
      ( ~ c_in(c_Pair(X67,c_List_Olist_ONil,tc_List_Olist(X69),tc_List_Olist(X69)),c_List_Olistrel(X68,X69),tc_prod(tc_List_Olist(X69),tc_List_Olist(X69)))
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2316])])]) ).

fof(c_0_4519,plain,
    ! [X61] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X61,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2317]) ).

fof(c_0_4520,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_lessequals(c_0,X63,X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2318]) ).

fof(c_0_4521,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_0,X63,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2319]) ).

fof(c_0_4522,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X63,c_0,X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2320]) ).

fof(c_0_4523,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_0,X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2321]) ).

fof(c_0_4524,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X56)
      | c_Nat_Opower(c_uminus(X55,X56),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X54,tc_nat),X56) = c_Nat_Opower(X55,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X54,tc_nat),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2322]) ).

fof(c_0_4525,plain,
    ! [X26,X27] :
      ( ~ c_in(c_Pair(X27,X26,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
      | c_less(X27,X26,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2323]) ).

fof(c_0_4526,plain,
    ! [X51,X52,X53] :
      ( ~ c_Wellfounded__Recursion_Owf(X51,X53)
      | ~ c_in(c_Pair(X52,X52,X53,X53),X51,tc_prod(X53,X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2324]) ).

fof(c_0_4527,plain,
    ! [X55] :
      ( ~ c_less(c_0,c_Divides_Oop_Amod(X55,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
      | c_Divides_Oop_Amod(X55,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2325]) ).

fof(c_0_4528,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(c_Pair(X52,X51,X53,X53),c_Relation_OId,tc_prod(X53,X53))
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2326])])]) ).

fof(c_0_4529,plain,
    ! [X86,X87,X88,X89,X90] :
      ( ~ c_in(X86,X88,tc_set(tc_Datatype__Universe_Onode(X90,X89)))
      | c_in(c_Datatype__Universe_OIn0(X86,X90,X89),c_Datatype__Universe_Ousum(X88,X87,X90,X89),tc_set(tc_Datatype__Universe_Onode(X90,X89))) ),
    inference(variable_rename,[status(thm)],[c_0_2327]) ).

fof(c_0_4530,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,X53,tc_set(tc_Datatype__Universe_Onode(X56,X55)))
      | c_in(c_Datatype__Universe_OIn1(X52,X56,X55),c_Datatype__Universe_Ousum(X54,X53,X56,X55),tc_set(tc_Datatype__Universe_Onode(X56,X55))) ),
    inference(variable_rename,[status(thm)],[c_0_2328]) ).

fof(c_0_4531,plain,
    ! [X67,X68,X69,X70,X71] :
      ( c_Nat_Osize(X68,tc_List_Olist(X71)) != c_Nat_Osize(X67,tc_List_Olist(X70))
      | c_in(X69,c_List_Oset(X68,X71),X71)
      | c_Map_Omap__of(c_List_Ozip(X68,X67,X71,X70),X69,X71,X70) = c_Datatype_Ooption_ONone ),
    inference(variable_rename,[status(thm)],[c_0_2329]) ).

fof(c_0_4532,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(c_minus(X53,c_insert(X51,X52,X54),tc_set(X54)),c_Finite__Set_OFinites,tc_set(X54))
      | c_in(c_minus(X53,X52,tc_set(X54)),c_Finite__Set_OFinites,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2330]) ).

fof(c_0_4533,plain,
    ! [X86,X87,X88,X89,X90,X91] :
      ( c_Datatype__Universe_OScons(X89,X87,X91,X90) != c_Datatype__Universe_OScons(X88,X86,X91,X90)
      | X89 = X88 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2331])])]) ).

fof(c_0_4534,plain,
    ! [X86,X87,X88,X89,X90,X91] :
      ( c_Datatype__Universe_OScons(X89,X87,X91,X90) != c_Datatype__Universe_OScons(X88,X86,X91,X90)
      | X87 = X86 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2332])])]) ).

fof(c_0_4535,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( c_Pair(X63,X61,X65,X64) != c_Pair(X62,X60,X65,X64)
      | X63 = X62 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2333])])]) ).

fof(c_0_4536,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( c_Pair(X63,X61,X65,X64) != c_Pair(X62,X60,X65,X64)
      | X61 = X60 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2334])])]) ).

fof(c_0_4537,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | c_lessequals(X64,X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2335]) ).

fof(c_0_4538,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | c_lessequals(X63,X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2336]) ).

fof(c_0_4539,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | ~ c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | c_lessequals(X64,X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2337]) ).

fof(c_0_4540,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | ~ c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | c_lessequals(X63,X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2338]) ).

fof(c_0_4541,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_less(X64,X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2339]) ).

fof(c_0_4542,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | ~ c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_less(X63,X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2340]) ).

fof(c_0_4543,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_less(X64,X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2341]) ).

fof(c_0_4544,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | ~ c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_less(X63,X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2342]) ).

fof(c_0_4545,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2343]) ).

fof(c_0_4546,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2344]) ).

fof(c_0_4547,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2345]) ).

fof(c_0_4548,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2346]) ).

fof(c_0_4549,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2347]) ).

fof(c_0_4550,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2348]) ).

fof(c_0_4551,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2349]) ).

fof(c_0_4552,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2350]) ).

fof(c_0_4553,plain,
    ! [X55] :
      ( c_Divides_Oop_Amod(X55,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
      | c_less(c_0,c_Divides_Oop_Amod(X55,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2351]) ).

fof(c_0_4554,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,X54,X56)
      | c_in(c_Sum__Type_OInl(X52,X56,X55),c_Sum__Type_OPlus(X54,X53,X56,X55),tc_sum(X56,X55)) ),
    inference(variable_rename,[status(thm)],[c_0_2352]) ).

fof(c_0_4555,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ c_in(X52,X53,X56)
      | c_in(c_Sum__Type_OInr(X52,X56,X55),c_Sum__Type_OPlus(X54,X53,X55,X56),tc_sum(X55,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_2353]) ).

fof(c_0_4556,plain,
    ! [X25,X26,X27] :
      ( ~ c_in(X25,c_Message_Oparts(c_insert(X26,X27,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X26,c_Message_Osynth(c_Message_Oanalz(X27)),tc_Message_Omsg)
      | c_in(X25,c_union(c_Message_Osynth(c_Message_Oanalz(X27)),c_Message_Oparts(X27),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2354]) ).

fof(c_0_4557,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(c_0,X63,X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2355]) ).

fof(c_0_4558,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_lessequals(c_0,X63,X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2356]) ).

fof(c_0_4559,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,X63,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2357]) ).

fof(c_0_4560,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_0,X63,X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2358]) ).

fof(c_0_4561,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X63,c_0,X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2359]) ).

fof(c_0_4562,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X63,c_0,X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2360]) ).

fof(c_0_4563,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_0,X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2361]) ).

fof(c_0_4564,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_0,X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2362]) ).

fof(c_0_4565,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2363]) ).

fof(c_0_4566,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_lessequals(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2364]) ).

fof(c_0_4567,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2365]) ).

fof(c_0_4568,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X62,c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2366]) ).

fof(c_0_4569,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2367]) ).

fof(c_0_4570,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_lessequals(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2368]) ).

fof(c_0_4571,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2369]) ).

fof(c_0_4572,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | ~ c_less(c_times(X63,c_Numeral_Onumber__of(X61,X64),X64),X62,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2370]) ).

fof(c_0_4573,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_less(X69,c_Nat_Osize(X68,tc_List_Olist(X70)),tc_nat)
      | c_List_Onth(c_List_Olist__update(X68,X69,X67,X70),X69,X70) = X67 ),
    inference(variable_rename,[status(thm)],[c_0_2371]) ).

fof(c_0_4574,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,X53)
      | c_in(c_Pair(X51,X51,X53,X53),c_Relation_Odiag(X52,X53),tc_prod(X53,X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2372]) ).

fof(c_0_4575,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(c_minus(X53,X52,tc_set(X54)),c_Finite__Set_OFinites,tc_set(X54))
      | c_in(c_minus(X53,c_insert(X51,X52,X54),tc_set(X54)),c_Finite__Set_OFinites,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2373]) ).

fof(c_0_4576,plain,
    ! [X67,X68,X69,X70] :
      ( c_List_Otake(c_Numeral_Onumber__of(X69,tc_nat),c_List_Olist_OCons(X68,X67,X70),X70) = c_List_Olist_OCons(X68,c_List_Otake(c_minus(c_Numeral_Onumber__of(X69,tc_nat),c_1,tc_nat),X67,X70),X70)
      | c_Numeral_Onumber__of(X69,tc_nat) = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2374])])]) ).

fof(c_0_4577,plain,
    ! [X11,X12,X13] :
      ( ~ c_in(X11,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X13,X12),c_List_Oset(X11,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(v_sko__wPE(X13,X12,X11),X13,X12),c_List_Oset(X11,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2375])])]) ).

fof(c_0_4578,plain,
    ! [X26,X27] :
      ( ~ c_less(X27,X26,tc_nat)
      | c_in(c_Pair(X27,X26,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_2376]) ).

fof(c_0_4579,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ~ c_Yahalom_OKeyWithNonce(X22,X21,c_List_Olist_OCons(c_Event_Oevent_OSays(X20,X23,X19),X18,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X22,X21,X18)
      | c_Message_Oagent_OServer = X20 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2377])])]) ).

fof(c_0_4580,plain,
    ! [X24] :
      ( c_Divides_Oop_Amod(X24,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Amod(X24,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2378]) ).

fof(c_0_4581,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,c_Relation_Odiag(X52,X53),tc_prod(X53,X53))
      | X51 = c_Pair(c_Main_OdiagE__1(X52,X51,X53),c_Main_OdiagE__1(X52,X51,X53),X53,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2379]) ).

fof(c_0_4582,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_lessequals(c_plus(X68,X69,tc_nat),c_Nat_Osize(X67,tc_List_Olist(X70)),tc_nat)
      | c_List_Onth(c_List_Odrop(X68,X67,X70),X69,X70) = c_List_Onth(X67,c_plus(X68,X69,tc_nat),X70) ),
    inference(variable_rename,[status(thm)],[c_0_2380]) ).

fof(c_0_4583,plain,
    ! [X67,X68,X69,X70,X71] :
      ( X70 = X69
      | c_List_Onth(c_List_Olist__update(X67,X70,X68,X71),X69,X71) = c_List_Onth(X67,X69,X71) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2381])])]) ).

fof(c_0_4584,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_div(c_plus(X56,c_times(X57,X55,tc_nat),tc_nat),X55,tc_nat) = c_plus(X57,c_div(X56,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2382])])]) ).

fof(c_0_4585,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_div(c_plus(X56,c_times(X55,X57,tc_nat),tc_nat),X55,tc_nat) = c_plus(X57,c_div(X56,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2383])])]) ).

fof(c_0_4586,plain,
    ! [X94,X95,X96,X97] :
      ( ~ c_Relation_Otrans(X94,X96)
      | ~ c_Relation_Otrans(X95,X97)
      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X95,X94,X97,X96),tc_prod(X97,X96)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2384])])]) ).

fof(c_0_4587,plain,
    ! [X92,X93,X94,X95] :
      ( ~ c_Wellfounded__Recursion_Owf(X92,X94)
      | ~ c_Wellfounded__Recursion_Owf(X93,X95)
      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X93,X92,X95,X94),tc_prod(X95,X94)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2385])])]) ).

fof(c_0_4588,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(c_insert(X23,X25,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2386]) ).

fof(c_0_4589,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Power_Orecpower(X54)
      | ~ class_Ring__and__Field_Oordered__semidom(X54)
      | ~ c_less(c_1,X53,X54)
      | ~ c_lessequals(c_Nat_Opower(X53,X52,X54),c_Nat_Opower(X53,X51,X54),X54)
      | c_lessequals(X52,X51,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2387]) ).

fof(c_0_4590,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Power_Orecpower(X54)
      | ~ class_Ring__and__Field_Oordered__semidom(X54)
      | ~ c_less(c_1,X53,X54)
      | ~ c_less(c_Nat_Opower(X53,X52,X54),c_Nat_Opower(X53,X51,X54),X54)
      | c_less(X52,X51,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2388]) ).

fof(c_0_4591,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oring(X65)
      | c_times(c_minus(X64,X63,X65),c_Numeral_Onumber__of(X62,X65),X65) = c_minus(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2389]) ).

fof(c_0_4592,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Osemiring(X65)
      | c_times(c_plus(X64,X63,X65),c_Numeral_Onumber__of(X62,X65),X65) = c_plus(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2390]) ).

fof(c_0_4593,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oring(X65)
      | c_times(c_Numeral_Onumber__of(X62,X65),c_minus(X64,X63,X65),X65) = c_minus(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2391]) ).

fof(c_0_4594,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Osemiring(X65)
      | c_times(c_Numeral_Onumber__of(X62,X65),c_plus(X64,X63,X65),X65) = c_plus(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2392]) ).

fof(c_0_4595,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52)
      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2393]) ).

fof(c_0_4596,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(c_0,X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2394]) ).

fof(c_0_4597,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64)
      | c_less(c_0,X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2395]) ).

fof(c_0_4598,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(X63,c_0,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2396]) ).

fof(c_0_4599,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(X63,c_0,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2397]) ).

fof(c_0_4600,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_0,X51,X52)
      | c_less(c_0,c_divide(X51,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X52),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2398]) ).

fof(c_0_4601,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X63,X64,X65)
      | ~ c_lessequals(X64,X63,X65)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2399]) ).

fof(c_0_4602,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X63,X64,X65)
      | ~ c_lessequals(X64,X63,X65)
      | c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2400]) ).

fof(c_0_4603,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X63,X64,X65)
      | ~ c_less(X64,X63,X65)
      | c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2401]) ).

fof(c_0_4604,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X63,X64,X65)
      | ~ c_less(X64,X63,X65)
      | c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2402]) ).

fof(c_0_4605,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X63,X64,X65)
      | c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2403]) ).

fof(c_0_4606,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X64,X63,X65)
      | c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2404]) ).

fof(c_0_4607,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X63,X64,X65)
      | c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2405]) ).

fof(c_0_4608,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_lessequals(X64,X63,X65)
      | c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2406]) ).

fof(c_0_4609,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X63,X64,X65)
      | c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2407]) ).

fof(c_0_4610,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X64,X63,X65)
      | c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2408]) ).

fof(c_0_4611,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X63,X64,X65)
      | c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2409]) ).

fof(c_0_4612,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | ~ c_less(X64,X63,X65)
      | c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2410]) ).

fof(c_0_4613,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ class_Orderings_Olinorder(X60)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X59,X58,X60),c_SetInterval_OatLeastLessThan(X57,X56,X60),tc_set(X60))
      | c_lessequals(X57,X59,X60)
      | c_lessequals(X58,X59,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2411]) ).

fof(c_0_4614,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ class_Orderings_Olinorder(X60)
      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X59,X58,X60),c_SetInterval_OatLeastLessThan(X57,X56,X60),tc_set(X60))
      | c_lessequals(X58,X56,X60)
      | c_lessequals(X58,X59,X60) ),
    inference(variable_rename,[status(thm)],[c_0_2412]) ).

fof(c_0_4615,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_lessequals(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2413]) ).

fof(c_0_4616,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | c_less(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_less(c_Numeral_Onumber__of(X62,X65),c_0,X65)
      | c_lessequals(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2414]) ).

fof(c_0_4617,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | c_less(c_times(c_Numeral_Onumber__of(X62,X65),X64,X65),c_times(c_Numeral_Onumber__of(X62,X65),X63,X65),X65)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2415]) ).

fof(c_0_4618,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber(X65)
      | ~ class_Ring__and__Field_Oordered__ring__strict(X65)
      | c_less(c_times(X64,c_Numeral_Onumber__of(X62,X65),X65),c_times(X63,c_Numeral_Onumber__of(X62,X65),X65),X65)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X62,X65),X65)
      | c_lessequals(c_Numeral_Onumber__of(X62,X65),c_0,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2416]) ).

fof(c_0_4619,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_0,X57,tc_nat)
      | ~ c_lessequals(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat)
      | c_lessequals(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2417]) ).

fof(c_0_4620,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_0,X57,tc_nat)
      | ~ c_lessequals(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat)
      | c_lessequals(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2418]) ).

fof(c_0_4621,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_in(X69,c_List_Oset(c_List_Oremove1(X67,X68,X70),X70),X70)
      | c_in(X69,c_List_Oset(X68,X70),X70) ),
    inference(variable_rename,[status(thm)],[c_0_2419]) ).

fof(c_0_4622,plain,
    ! [X71,X72,X73,X74] :
      ( ~ c_in(X72,c_List_Oset(c_List_Osublist(X71,X73,X74),X74),X74)
      | c_in(X72,c_List_Oset(X71,X74),X74) ),
    inference(variable_rename,[status(thm)],[c_0_2420]) ).

fof(c_0_4623,plain,
    ! [X30,X31,X32] :
      ( ~ c_in(X30,c_Message_Oparts(c_union(X32,X31,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X30,c_Message_Oparts(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Oparts(X32),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2421]) ).

fof(c_0_4624,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52)
      | c_less(c_Numeral_Onumber__of(X51,X52),c_1,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2422]) ).

fof(c_0_4625,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2423]) ).

fof(c_0_4626,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2424]) ).

fof(c_0_4627,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2425]) ).

fof(c_0_4628,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2426]) ).

fof(c_0_4629,plain,
    ! [X56,X57,X58] :
      ( ~ c_lessequals(X57,X58,tc_nat)
      | c_minus(X56,c_Suc(c_minus(X58,X57,tc_nat)),tc_nat) = c_minus(c_plus(X56,X57,tc_nat),c_Suc(X58),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2427]) ).

fof(c_0_4630,plain,
    ! [X56,X57,X58] :
      ( ~ c_lessequals(X57,X58,tc_nat)
      | c_minus(c_Suc(c_minus(X58,X57,tc_nat)),X56,tc_nat) = c_minus(c_Suc(X58),c_plus(X57,X56,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2428]) ).

fof(c_0_4631,plain,
    ! [X67,X68,X69,X70,X71] :
      ( c_append(X69,c_List_Olist_OCons(X70,c_List_Olist_ONil,X71),X71) != c_append(X67,c_List_Olist_OCons(X68,c_List_Olist_ONil,X71),X71)
      | X69 = X67 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2429])])]) ).

fof(c_0_4632,plain,
    ! [X67,X68,X69,X70,X71] :
      ( c_append(X69,c_List_Olist_OCons(X70,c_List_Olist_ONil,X71),X71) != c_append(X67,c_List_Olist_OCons(X68,c_List_Olist_ONil,X71),X71)
      | X70 = X68 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2430])])]) ).

fof(c_0_4633,plain,
    ! [X53,X54,X55] :
      ( ~ c_less(X54,c_Nat_Osize(X53,tc_List_Olist(X55)),tc_nat)
      | c_List_Olist__update(X53,X54,c_List_Onth(X53,X54,X55),X55) = X53 ),
    inference(variable_rename,[status(thm)],[c_0_2431]) ).

fof(c_0_4634,plain,
    ! [X62,X63,X64] :
      ( c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | X64 = c_Numeral_Obit_OB0
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X63,X64),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X62,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2432])])]) ).

fof(c_0_4635,plain,
    ! [X9,X10] :
      ( ~ c_in(X10,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X9))),tc_nat)
      | ~ c_in(X10,c_Message_OsymKeys,tc_nat)
      | ~ c_in(X9,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(X10),c_Event_Oused(X9),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2433]) ).

fof(c_0_4636,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_lessequals(c_0,X62,X63)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2434]) ).

fof(c_0_4637,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_lessequals(X62,c_0,X63)
      | c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2435]) ).

fof(c_0_4638,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_less(c_0,X62,X63)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2436]) ).

fof(c_0_4639,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_less(X62,c_0,X63)
      | c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2437]) ).

fof(c_0_4640,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_lessequals(X62,c_0,X63)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2438]) ).

fof(c_0_4641,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_lessequals(c_0,X62,X63)
      | c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2439]) ).

fof(c_0_4642,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_less(X62,c_0,X63)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2440]) ).

fof(c_0_4643,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_less(c_0,X62,X63)
      | c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2441]) ).

fof(c_0_4644,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_lessequals(c_plus(X51,X53,X54),c_plus(X51,X52,X54),X54)
      | c_lessequals(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2442]) ).

fof(c_0_4645,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_lessequals(c_plus(X53,X51,X54),c_plus(X52,X51,X54),X54)
      | c_lessequals(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2443]) ).

fof(c_0_4646,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_less(c_plus(X51,X53,X54),c_plus(X51,X52,X54),X54)
      | c_less(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2444]) ).

fof(c_0_4647,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_less(c_plus(X53,X51,X54),c_plus(X52,X51,X54),X54)
      | c_less(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2445]) ).

fof(c_0_4648,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(c_0,X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2446]) ).

fof(c_0_4649,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(c_0,X63,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_less(c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2447]) ).

fof(c_0_4650,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_lessequals(X63,c_0,X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64)
      | c_lessequals(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2448]) ).

fof(c_0_4651,plain,
    ! [X61,X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_Ring__and__Field_Odivision__by__zero(X64)
      | ~ class_Ring__and__Field_Oordered__field(X64)
      | ~ c_less(X63,c_0,X64)
      | c_less(X63,c_divide(X62,c_Numeral_Onumber__of(X61,X64),X64),X64)
      | c_less(c_0,c_Numeral_Onumber__of(X61,X64),X64)
      | c_less(c_Numeral_Onumber__of(X61,X64),c_0,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2449]) ).

fof(c_0_4652,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_in(X67,c_List_Olists(X69,X70),tc_List_Olist(X70))
      | ~ c_in(X68,c_List_Olists(X69,X70),tc_List_Olist(X70))
      | c_in(c_append(X68,X67,X70),c_List_Olists(X69,X70),tc_List_Olist(X70)) ),
    inference(variable_rename,[status(thm)],[c_0_2450]) ).

fof(c_0_4653,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X29,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Oanalz(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(c_Message_OHPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2451]) ).

fof(c_0_4654,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat)
      | c_less(X56,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2452])])]) ).

fof(c_0_4655,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat)
      | c_less(X56,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2453])])]) ).

fof(c_0_4656,plain,
    ! [X55,X56,X57] :
      ( ~ c_lessequals(c_plus(X57,X56,tc_nat),c_plus(X57,X55,tc_nat),tc_nat)
      | c_lessequals(X56,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2454])])]) ).

fof(c_0_4657,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_plus(X57,X56,tc_nat),c_plus(X57,X55,tc_nat),tc_nat)
      | c_less(X56,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2455])])]) ).

fof(c_0_4658,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat)
      | c_less(c_0,X57,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2456]) ).

fof(c_0_4659,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat)
      | c_less(c_0,X57,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2457]) ).

fof(c_0_4660,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_lessequals(X62,c_0,X63)
      | c_lessequals(c_0,X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2458]) ).

fof(c_0_4661,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63)
      | c_less(X62,c_0,X63)
      | c_less(c_0,X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2459]) ).

fof(c_0_4662,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_lessequals(X62,c_0,X63)
      | c_lessequals(c_0,X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2460]) ).

fof(c_0_4663,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63)
      | c_less(X62,c_0,X63)
      | c_less(c_0,X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2461]) ).

fof(c_0_4664,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ~ c_Yahalom_OKeyWithNonce(X22,X21,X18)
      | c_Yahalom_OKeyWithNonce(X22,X21,c_List_Olist_OCons(c_Event_Oevent_OSays(X20,X23,X19),X18,tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2462])])]) ).

fof(c_0_4665,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52)
      | c_Numeral_Onumber__of(X51,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2463]) ).

fof(c_0_4666,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ class_Orderings_Olinorder(X60)
      | ~ c_lessequals(X58,X56,X60)
      | ~ c_lessequals(X57,X59,X60)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X59,X58,X60),c_SetInterval_OatLeastLessThan(X57,X56,X60),tc_set(X60)) ),
    inference(variable_rename,[status(thm)],[c_0_2464]) ).

fof(c_0_4667,plain,
    ! [X52,X53,X54] :
      ( ~ c_in(c_Relation_Oconverse(X52,X53,X54),c_Finite__Set_OFinites,tc_set(tc_prod(X54,X53)))
      | c_in(X52,c_Finite__Set_OFinites,tc_set(tc_prod(X53,X54))) ),
    inference(variable_rename,[status(thm)],[c_0_2465]) ).

fof(c_0_4668,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Power_Orecpower(X54)
      | ~ class_Ring__and__Field_Oordered__semidom(X54)
      | ~ c_less(c_1,X53,X54)
      | ~ c_lessequals(X52,X51,tc_nat)
      | c_lessequals(c_Nat_Opower(X53,X52,X54),c_Nat_Opower(X53,X51,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2466]) ).

fof(c_0_4669,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Power_Orecpower(X54)
      | ~ class_Ring__and__Field_Oordered__semidom(X54)
      | ~ c_less(X52,X51,tc_nat)
      | ~ c_less(c_1,X53,X54)
      | c_less(c_Nat_Opower(X53,X52,X54),c_Nat_Opower(X53,X51,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2467]) ).

fof(c_0_4670,plain,
    ! [X73,X74,X75,X76] :
      ( ~ c_in(X75,c_List_Oset(X73,X76),X76)
      | c_List_Olist__inter(c_List_Olist_OCons(X75,X74,X76),X73,X76) = c_List_Olist_OCons(X75,c_List_Olist__inter(X74,X73,X76),X76) ),
    inference(variable_rename,[status(thm)],[c_0_2468]) ).

fof(c_0_4671,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52)
      | ~ c_lessequals(c_Numeral_Onumber__of(X51,X52),c_1,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2469]) ).

fof(c_0_4672,plain,
    ! [X55,X56,X57] :
      ( ~ c_lessequals(c_plus(X57,X56,tc_nat),X55,tc_nat)
      | c_List_Otake(X56,c_List_Oupt(X57,X55),tc_nat) = c_List_Oupt(X57,c_plus(X57,X56,tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_2470]) ).

fof(c_0_4673,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(X62,c_0,X63)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2471]) ).

fof(c_0_4674,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,X62,X63)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63)
      | c_lessequals(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2472]) ).

fof(c_0_4675,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(X62,c_0,X63)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2473]) ).

fof(c_0_4676,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,X62,X63)
      | ~ c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63)
      | c_less(c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2474]) ).

fof(c_0_4677,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(c_0,X62,X63)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2475]) ).

fof(c_0_4678,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_lessequals(X62,c_0,X63)
      | ~ c_lessequals(c_Numeral_Onumber__of(X61,X63),c_0,X63)
      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2476]) ).

fof(c_0_4679,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(c_0,X62,X63)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,X63),X63)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2477]) ).

fof(c_0_4680,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Oordered__field(X63)
      | ~ c_less(X62,c_0,X63)
      | ~ c_less(c_Numeral_Onumber__of(X61,X63),c_0,X63)
      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X61,X63),X62,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2478]) ).

fof(c_0_4681,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_less(c_0,X61,X63)
      | c_Numeral_Onumber__of(X62,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2479]) ).

fof(c_0_4682,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | ~ c_lessequals(c_Main_OMax__le__iff__1(X52,X51,X53),X51,X53)
      | c_lessequals(c_Finite__Set_OMax(X52,X53),X51,X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2480]) ).

fof(c_0_4683,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | ~ c_less(c_Main_OMax__less__iff__1(X52,X51,X53),X51,X53)
      | c_less(c_Finite__Set_OMax(X52,X53),X51,X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2481]) ).

fof(c_0_4684,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | ~ c_lessequals(X51,c_Main_OMin__ge__iff__1(X52,X51,X53),X53)
      | c_lessequals(X51,c_Finite__Set_OMin(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2482]) ).

fof(c_0_4685,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | ~ c_less(X51,c_Main_OMin__gr__iff__1(X52,X51,X53),X53)
      | c_less(X51,c_Finite__Set_OMin(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2483]) ).

fof(c_0_4686,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_lessequals(X61,c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2484]) ).

fof(c_0_4687,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_lessequals(c_0,X61,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2485]) ).

fof(c_0_4688,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(X56,X55,tc_nat)
      | ~ c_less(c_0,X57,tc_nat)
      | c_less(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2486])])]) ).

fof(c_0_4689,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(X56,X55,tc_nat)
      | ~ c_less(c_0,X57,tc_nat)
      | c_less(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2487])])]) ).

fof(c_0_4690,plain,
    ! [X95,X96] :
      ( ~ c_in(X95,c_Relation_OId,tc_prod(X96,X96))
      | X95 = c_Pair(c_Main_OIdE__1(X95,X96),c_Main_OIdE__1(X95,X96),X96,X96) ),
    inference(variable_rename,[status(thm)],[c_0_2488]) ).

fof(c_0_4691,plain,
    ! [X55,X56,X57,X58] :
      ( ~ class_Orderings_Olinorder(X58)
      | ~ c_lessequals(X57,X55,X58)
      | c_minus(c_SetInterval_OatLeastLessThan(X57,X56,X58),c_SetInterval_OatLeastLessThan(X57,X55,X58),tc_set(X58)) = c_SetInterval_OatLeastLessThan(X55,X56,X58) ),
    inference(variable_rename,[status(thm)],[c_0_2489]) ).

fof(c_0_4692,plain,
    ! [X58,X59,X60,X61] :
      ( ~ c_in(X59,X60,X61)
      | ~ c_in(X58,c_List_Olists(X60,X61),tc_List_Olist(X61))
      | c_in(c_List_Olist_OCons(X59,X58,X61),c_List_Olists(X60,X61),tc_List_Olist(X61)) ),
    inference(variable_rename,[status(thm)],[c_0_2490]) ).

fof(c_0_4693,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_less(c_Numeral_Onumber__of(X51,X52),c_1,X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2491]) ).

fof(c_0_4694,plain,
    ! [X62,X63,X64] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X63,X64),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X62,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2492])])]) ).

fof(c_0_4695,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(c_divide(X51,X52,X53),c_1,X53)
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2493]) ).

fof(c_0_4696,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(c_divide(X51,X52,X53),c_1,X53)
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2494]) ).

fof(c_0_4697,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_less(c_divide(X51,X52,X53),c_1,X53)
      | c_less(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2495]) ).

fof(c_0_4698,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_less(c_divide(X51,X52,X53),c_1,X53)
      | c_less(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2496]) ).

fof(c_0_4699,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(c_1,c_divide(X51,X52,X53),X53)
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2497]) ).

fof(c_0_4700,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(c_1,c_divide(X51,X52,X53),X53)
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2498]) ).

fof(c_0_4701,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_less(c_1,c_divide(X51,X52,X53),X53)
      | c_less(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2499]) ).

fof(c_0_4702,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_less(c_1,c_divide(X51,X52,X53),X53)
      | c_less(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2500]) ).

fof(c_0_4703,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Numeral_Onumber__ring(X65)
      | c_plus(c_Numeral_Onumber__of(X63,X65),c_minus(X64,c_Numeral_Onumber__of(X62,X65),X65),X65) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X63,c_Numeral_Obin__minus(X62)),X65),X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2501]) ).

fof(c_0_4704,plain,
    ! [X24] :
      ( c_Divides_Oop_Amod(X24,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
      | c_Divides_Oop_Amod(X24,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2502]) ).

fof(c_0_4705,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62),X62)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2503]) ).

fof(c_0_4706,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52)
      | c_less(c_1,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2504]) ).

fof(c_0_4707,plain,
    ! [X67,X68,X69,X70] :
      ( c_List_Odrop(c_Numeral_Onumber__of(X69,tc_nat),c_List_Olist_OCons(X68,X67,X70),X70) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X69,tc_nat),c_1,tc_nat),X67,X70)
      | c_Numeral_Onumber__of(X69,tc_nat) = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2505])])]) ).

fof(c_0_4708,plain,
    ! [X67,X68,X69,X70] :
      ( c_List_Onth(c_List_Olist_OCons(X68,X67,X70),c_Numeral_Onumber__of(X69,tc_nat),X70) = c_List_Onth(X67,c_minus(c_Numeral_Onumber__of(X69,tc_nat),c_1,tc_nat),X70)
      | c_Numeral_Onumber__of(X69,tc_nat) = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2506])])]) ).

fof(c_0_4709,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62),X62)
      | c_less(c_0,c_0,X62)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2507]) ).

fof(c_0_4710,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X51,X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53)
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2508]) ).

fof(c_0_4711,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,c_0,X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53)
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2509]) ).

fof(c_0_4712,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X51,X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_less(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53)
      | c_less(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2510]) ).

fof(c_0_4713,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,c_0,X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_less(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53)
      | c_less(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2511]) ).

fof(c_0_4714,plain,
    ! [X56,X57,X58] :
      ( ~ c_lessequals(X56,X57,tc_nat)
      | c_plus(c_minus(X57,X56,tc_nat),X58,tc_nat) = c_minus(c_plus(X57,X58,tc_nat),X56,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2512])])]) ).

fof(c_0_4715,plain,
    ! [X56,X57,X58] :
      ( ~ c_lessequals(X56,X57,tc_nat)
      | c_plus(X58,c_minus(X57,X56,tc_nat),tc_nat) = c_minus(c_plus(X58,X57,tc_nat),X56,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2513])])]) ).

fof(c_0_4716,plain,
    ! [X56,X57,X58] :
      ( ~ c_lessequals(X56,X57,tc_nat)
      | c_minus(X58,c_minus(X57,X56,tc_nat),tc_nat) = c_minus(c_plus(X58,X56,tc_nat),X57,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2514])])]) ).

fof(c_0_4717,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | ~ c_lessequals(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | X61 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2515]) ).

fof(c_0_4718,plain,
    ! [X50,X51,X52] :
      ( ~ c_less(c_0,X50,tc_nat)
      | c_div(c_times(X50,X52,tc_nat),c_times(X50,X51,tc_nat),tc_nat) = c_div(X52,X51,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2516])])]) ).

fof(c_0_4719,plain,
    ! [X50,X51,X52] :
      ( ~ c_less(c_0,X50,tc_nat)
      | c_div(c_times(X52,X50,tc_nat),c_times(X51,X50,tc_nat),tc_nat) = c_div(X52,X51,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2517])])]) ).

fof(c_0_4720,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | ~ c_less(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2518]) ).

fof(c_0_4721,plain,
    ! [X52,X53,X54] :
      ( ~ c_in(X52,c_Finite__Set_OFinites,tc_set(tc_prod(X53,X54)))
      | c_in(c_Relation_Oconverse(X52,X53,X54),c_Finite__Set_OFinites,tc_set(tc_prod(X54,X53))) ),
    inference(variable_rename,[status(thm)],[c_0_2519]) ).

fof(c_0_4722,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | c_lessequals(X61,c_0,X63)
      | X61 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2520]) ).

fof(c_0_4723,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Oanalz(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2521]) ).

fof(c_0_4724,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_in(c_Event_Oevent_OSays(X16,X15,X14),c_List_Oset(X13,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X14,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X13)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2522])])]) ).

fof(c_0_4725,plain,
    ! [X53,X54,X55,X56] :
      ( ~ c_lessequals(c_Nat_Osize(X53,tc_List_Olist(X56)),X55,tc_nat)
      | c_List_Olist__update(X53,X55,X54,X56) = X53 ),
    inference(variable_rename,[status(thm)],[c_0_2523]) ).

fof(c_0_4726,plain,
    ! [X58,X59,X60,X61] :
      ( ~ c_in(c_List_Olist_OCons(X58,X59,X61),c_List_Olists(X60,X61),tc_List_Olist(X61))
      | c_in(X59,c_List_Olists(X60,X61),tc_List_Olist(X61)) ),
    inference(variable_rename,[status(thm)],[c_0_2524]) ).

fof(c_0_4727,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_in(c_append(X68,X67,X70),c_List_Olists(X69,X70),tc_List_Olist(X70))
      | c_in(X68,c_List_Olists(X69,X70),tc_List_Olist(X70)) ),
    inference(variable_rename,[status(thm)],[c_0_2525]) ).

fof(c_0_4728,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_in(c_append(X68,X67,X70),c_List_Olists(X69,X70),tc_List_Olist(X70))
      | c_in(X67,c_List_Olists(X69,X70),tc_List_Olist(X70)) ),
    inference(variable_rename,[status(thm)],[c_0_2526]) ).

fof(c_0_4729,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_less(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | c_less(X61,c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2527]) ).

fof(c_0_4730,plain,
    ! [X62] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2528]) ).

fof(c_0_4731,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Oanalz(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2529]) ).

fof(c_0_4732,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Yahalom_OKeyWithNonce(X18,X17,c_List_Olist_OCons(c_Event_Oevent_OGets(X19,X16),X15,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X18,X17,X15) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2530])])]) ).

fof(c_0_4733,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Yahalom_OKeyWithNonce(X18,X17,c_List_Olist_OCons(c_Event_Oevent_ONotes(X19,X16),X15,tc_Event_Oevent))
      | c_Yahalom_OKeyWithNonce(X18,X17,X15) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2531])])]) ).

fof(c_0_4734,plain,
    ! [X61,X62] :
      ( ~ c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),tc_nat),tc_nat)
      | c_less(c_0,X61,tc_nat)
      | c_Numeral_Onumber__of(X62,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2532]) ).

fof(c_0_4735,plain,
    ! [X56,X57,X58] :
      ( ~ c_less(c_plus(X58,X56,tc_nat),X57,tc_nat)
      | c_List_Onth(c_List_Oupt(X58,X57),X56,tc_nat) = c_plus(X58,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2533]) ).

fof(c_0_4736,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Numeral_Onumber__ring(X66)
      | c_plus(c_Numeral_Onumber__of(X65,X66),c_plus(c_Numeral_Onumber__of(X64,X66),X63,X66),X66) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,X64),X66),X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2534]) ).

fof(c_0_4737,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Numeral_Onumber__ring(X66)
      | c_times(c_Numeral_Onumber__of(X65,X66),c_times(c_Numeral_Onumber__of(X64,X66),X63,X66),X66) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X65,X64),X66),X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2535]) ).

fof(c_0_4738,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | ~ c_lessequals(c_Finite__Set_OMax(X53,X54),X51,X54)
      | c_lessequals(X52,X51,X54)
      | X53 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2536]) ).

fof(c_0_4739,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | ~ c_less(c_Finite__Set_OMax(X53,X54),X51,X54)
      | c_less(X52,X51,X54)
      | X53 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2537]) ).

fof(c_0_4740,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | ~ c_lessequals(X51,c_Finite__Set_OMin(X53,X54),X54)
      | c_lessequals(X51,X52,X54)
      | X53 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2538]) ).

fof(c_0_4741,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | ~ c_less(X51,c_Finite__Set_OMin(X53,X54),X54)
      | c_less(X51,X52,X54)
      | X53 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2539]) ).

fof(c_0_4742,plain,
    ! [X64,X65] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2540])])]) ).

fof(c_0_4743,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52)
      | c_lessequals(c_1,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2541]) ).

fof(c_0_4744,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X51,X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2542]) ).

fof(c_0_4745,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,c_0,X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2543]) ).

fof(c_0_4746,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,X52,X53)
      | ~ c_less(c_0,X51,X53)
      | ~ c_less(c_0,X52,X53)
      | c_less(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2544]) ).

fof(c_0_4747,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,X52,X53)
      | ~ c_less(X51,c_0,X53)
      | ~ c_less(X52,c_0,X53)
      | c_less(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2545]) ).

fof(c_0_4748,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ class_Orderings_Olinorder(X60)
      | ~ c_lessequals(X58,X59,X60)
      | c_lessequals(c_SetInterval_OatLeastLessThan(X59,X58,X60),c_SetInterval_OatLeastLessThan(X57,X56,X60),tc_set(X60)) ),
    inference(variable_rename,[status(thm)],[c_0_2546]) ).

fof(c_0_4749,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X52,c_insert(X51,c_emptyset,X53),tc_set(X53))
      | c_insert(X51,c_emptyset,X53) = c_insert(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2547]) ).

fof(c_0_4750,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X52,c_insert(X51,c_emptyset,X53),tc_set(X53))
      | c_insert(X51,X52,X53) = c_insert(X51,c_emptyset,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2548]) ).

fof(c_0_4751,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | ~ class_Ring__and__Field_Oordered__idom(X53)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(X52)),X53),X53)
      | ~ c_lessequals(c_Numeral_Onumber__of(X52,X53),c_Numeral_Onumber__of(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2549]) ).

fof(c_0_4752,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,c_union(X53,X52,X54),X54)
      | c_in(X51,X52,X54)
      | c_in(X51,X53,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2550]) ).

fof(c_0_4753,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_in(c_Event_Oevent_OSays(X16,X15,X14),c_List_Oset(X13,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X14,c_Event_Oknows(c_Message_Oagent_OSpy,X13),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2551])])]) ).

fof(c_0_4754,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_lessequals(X53,X52,X54)
      | c_lessequals(c_plus(X51,X53,X54),c_plus(X51,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2552]) ).

fof(c_0_4755,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_lessequals(X53,X52,X54)
      | c_lessequals(c_plus(X53,X51,X54),c_plus(X52,X51,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2553]) ).

fof(c_0_4756,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_less(X53,X52,X54)
      | c_less(c_plus(X51,X53,X54),c_plus(X51,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2554]) ).

fof(c_0_4757,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X54)
      | ~ c_less(X53,X52,X54)
      | c_less(c_plus(X53,X51,X54),c_plus(X52,X51,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2555]) ).

fof(c_0_4758,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | ~ c_in(X51,c_minus(X53,X52,tc_set(X54)),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2556]) ).

fof(c_0_4759,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(X51,X52,tc_set(X54))
      | ~ c_lessequals(X51,X53,tc_set(X54))
      | c_lessequals(X51,c_inter(X53,X52,X54),tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2557]) ).

fof(c_0_4760,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(X52,X51,tc_set(X54))
      | ~ c_lessequals(X53,X51,tc_set(X54))
      | c_lessequals(c_union(X53,X52,X54),X51,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2558]) ).

fof(c_0_4761,plain,
    ! [X58,X59,X60,X61] :
      ( ~ c_in(c_List_Olist_OCons(X58,X59,X61),c_List_Olists(X60,X61),tc_List_Olist(X61))
      | c_in(X58,X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2559]) ).

fof(c_0_4762,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | c_Numeral_Onumber__of(X62,tc_nat) != c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2560]) ).

fof(c_0_4763,plain,
    ! [X11,X12,X13] :
      ( ~ c_in(X11,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X13,X12),c_List_Oset(X11,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X12,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X11)),tc_Message_Omsg) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2561])])]) ).

fof(c_0_4764,plain,
    ! [X82,X83,X84] :
      ( ~ c_in(X82,c_Finite__Set_OFinites,tc_set(X84))
      | ~ c_in(X83,c_Finite__Set_OFinites,tc_set(X84))
      | c_in(c_union(X83,X82,X84),c_Finite__Set_OFinites,tc_set(X84)) ),
    inference(variable_rename,[status(thm)],[c_0_2562]) ).

fof(c_0_4765,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(X61,c_0,X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63)
      | c_Numeral_Onumber__of(X62,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2563]) ).

fof(c_0_4766,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X64),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2564]) ).

fof(c_0_4767,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | ~ c_lessequals(X53,X52,tc_set(X54))
      | c_lessequals(c_insert(X51,X53,X54),X52,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2565]) ).

fof(c_0_4768,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber(X62)
      | ~ class_Power_Orecpower(X62)
      | c_Nat_Opower(c_Numeral_Onumber__of(X61,X62),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X62) = c_times(c_Numeral_Onumber__of(X61,X62),c_Numeral_Onumber__of(X61,X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_2566]) ).

fof(c_0_4769,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,c_plus(X56,X55,tc_nat),tc_nat)
      | c_less(c_0,X55,tc_nat)
      | c_less(c_0,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2567]) ).

fof(c_0_4770,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(c_Main_OMax__le__iff__1(X52,X51,X53),X52,X53)
      | c_lessequals(c_Finite__Set_OMax(X52,X53),X51,X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2568]) ).

fof(c_0_4771,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(c_Main_OMax__less__iff__1(X52,X51,X53),X52,X53)
      | c_less(c_Finite__Set_OMax(X52,X53),X51,X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2569]) ).

fof(c_0_4772,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(c_Main_OMin__ge__iff__1(X52,X51,X53),X52,X53)
      | c_lessequals(X51,c_Finite__Set_OMin(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2570]) ).

fof(c_0_4773,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(c_Main_OMin__gr__iff__1(X52,X51,X53),X52,X53)
      | c_less(X51,c_Finite__Set_OMin(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2571]) ).

fof(c_0_4774,plain,
    ! [X55,X56,X57] :
      ( ~ c_lessequals(X56,X55,tc_nat)
      | c_lessequals(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2572])])]) ).

fof(c_0_4775,plain,
    ! [X55,X56,X57] :
      ( ~ c_lessequals(X56,X55,tc_nat)
      | c_lessequals(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2573])])]) ).

fof(c_0_4776,plain,
    ! [X55,X56,X57] :
      ( ~ c_lessequals(X56,X55,tc_nat)
      | c_lessequals(c_plus(X57,X56,tc_nat),c_plus(X57,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2574])])]) ).

fof(c_0_4777,plain,
    ! [X55,X56,X57] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_less(c_plus(X57,X56,tc_nat),c_plus(X57,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2575])])]) ).

fof(c_0_4778,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_divide(X51,X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2576]) ).

fof(c_0_4779,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_divide(X51,X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2577]) ).

fof(c_0_4780,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,X51,X53)
      | ~ c_less(X52,c_0,X53)
      | c_less(c_divide(X51,X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2578]) ).

fof(c_0_4781,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,X52,X53)
      | ~ c_less(c_0,X52,X53)
      | c_less(c_divide(X51,X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2579]) ).

fof(c_0_4782,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,c_0,X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_1,c_divide(X51,X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2580]) ).

fof(c_0_4783,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(c_0,X52,X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_1,c_divide(X51,X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2581]) ).

fof(c_0_4784,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X51,X52,X53)
      | ~ c_less(X52,c_0,X53)
      | c_less(c_1,c_divide(X51,X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2582]) ).

fof(c_0_4785,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | ~ c_less(X52,X51,X53)
      | ~ c_less(c_0,X52,X53)
      | c_less(c_1,c_divide(X51,X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2583]) ).

fof(c_0_4786,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_OHPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X30,X29)),c_Message_Oanalz(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2584]) ).

fof(c_0_4787,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(X64,X63,X66)
      | ~ c_less(X65,X63,X66)
      | c_less(c_Orderings_Omax(X65,X64,X66),X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2585]) ).

fof(c_0_4788,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(X63,X64,X66)
      | ~ c_less(X63,X65,X66)
      | c_less(X63,c_Orderings_Omin(X65,X64,X66),X66) ),
    inference(variable_rename,[status(thm)],[c_0_2586]) ).

fof(c_0_4789,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(X65,X63,X66)
      | ~ c_lessequals(X65,X64,X66)
      | c_lessequals(X65,c_Orderings_Omin(X64,X63,X66),X66) ),
    inference(variable_rename,[status(thm)],[c_0_2587]) ).

fof(c_0_4790,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(X64,X63,X66)
      | ~ c_lessequals(X65,X63,X66)
      | c_lessequals(c_Orderings_Omax(X65,X64,X66),X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2588]) ).

fof(c_0_4791,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_lessequals(X60,X58,X61)
      | ~ c_lessequals(X59,X60,X61)
      | c_in(X60,c_SetInterval_OatLeastAtMost(X59,X58,X61),X61) ),
    inference(variable_rename,[status(thm)],[c_0_2589]) ).

fof(c_0_4792,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_less(X60,X58,X61)
      | ~ c_lessequals(X59,X60,X61)
      | c_in(X60,c_SetInterval_OatLeastLessThan(X59,X58,X61),X61) ),
    inference(variable_rename,[status(thm)],[c_0_2590]) ).

fof(c_0_4793,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_less(X59,X60,X61)
      | ~ c_lessequals(X60,X58,X61)
      | c_in(X60,c_SetInterval_OgreaterThanAtMost(X59,X58,X61),X61) ),
    inference(variable_rename,[status(thm)],[c_0_2591]) ).

fof(c_0_4794,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_less(X60,X58,X61)
      | ~ c_less(X59,X60,X61)
      | c_in(X60,c_SetInterval_OgreaterThanLessThan(X59,X58,X61),X61) ),
    inference(variable_rename,[status(thm)],[c_0_2592]) ).

fof(c_0_4795,plain,
    ! [X67,X68,X69] :
      ( ~ c_in(c_Main_Oin__listsI__1(X68,X67,X69),X68,X69)
      | c_in(X67,c_List_Olists(X68,X69),tc_List_Olist(X69)) ),
    inference(variable_rename,[status(thm)],[c_0_2593]) ).

fof(c_0_4796,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Osynth(c_Message_Oanalz(X24)),tc_Message_Omsg)
      | c_Message_Osynth(c_Message_Oanalz(c_insert(X23,X24,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X24)) ),
    inference(variable_rename,[status(thm)],[c_0_2594]) ).

fof(c_0_4797,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | c_inter(X52,c_insert(X51,X53,X54),X54) != c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2595]) ).

fof(c_0_4798,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X53,X54)
      | c_emptyset != c_inter(X53,c_insert(X51,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2596]) ).

fof(c_0_4799,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | c_inter(c_insert(X51,X53,X54),X52,X54) != c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2597]) ).

fof(c_0_4800,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | c_emptyset != c_inter(c_insert(X51,X53,X54),X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2598]) ).

fof(c_0_4801,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_less(X61,c_0,X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_less(c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),c_0,X63) ),
    inference(variable_rename,[status(thm)],[c_0_2599]) ).

fof(c_0_4802,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_lessequals(c_0,X61,X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2600]) ).

fof(c_0_4803,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_less(c_0,X61,X63)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2601]) ).

fof(c_0_4804,plain,
    ! [X54,X55] :
      ( ~ class_Power_Orecpower(X55)
      | ~ class_Ring__and__Field_Oordered__idom(X55)
      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X55),X54,X55),X55)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2602]) ).

fof(c_0_4805,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | X51 = c_0
      | c_divide(c_times(X51,X53,X54),c_times(X51,X52,X54),X54) = c_divide(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2603]) ).

fof(c_0_4806,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | X51 = c_0
      | c_divide(c_times(X53,X51,X54),c_times(X52,X51,X54),X54) = c_divide(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2604]) ).

fof(c_0_4807,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X52,X53),c_HOL_Oabs(X51,X53),X53),X53) = c_plus(c_HOL_Oabs(X52,X53),c_HOL_Oabs(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2605]) ).

fof(c_0_4808,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | c_divide(c_divide(X53,X52,X54),X51,X54) = c_divide(X53,c_times(X52,X51,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2606]) ).

fof(c_0_4809,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | c_divide(X53,c_divide(X52,X51,X54),X54) = c_divide(c_times(X53,X51,X54),X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2607]) ).

fof(c_0_4810,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X53)
      | ~ c_in(X51,c_IntDef_OInts,X53)
      | ~ c_in(X52,c_IntDef_OInts,X53)
      | c_in(c_plus(X52,X51,X53),c_IntDef_OInts,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2608]) ).

fof(c_0_4811,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X53)
      | ~ c_in(X51,c_IntDef_OInts,X53)
      | ~ c_in(X52,c_IntDef_OInts,X53)
      | c_in(c_minus(X52,X51,X53),c_IntDef_OInts,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2609]) ).

fof(c_0_4812,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X53)
      | ~ c_in(X51,c_IntDef_OInts,X53)
      | ~ c_in(X52,c_IntDef_OInts,X53)
      | c_in(c_times(X52,X51,X53),c_IntDef_OInts,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2610]) ).

fof(c_0_4813,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X53)
      | ~ c_in(X51,c_IntDef_ONats,X53)
      | ~ c_in(X52,c_IntDef_ONats,X53)
      | c_in(c_plus(X52,X51,X53),c_IntDef_ONats,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2611]) ).

fof(c_0_4814,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X53)
      | ~ c_in(X51,c_IntDef_ONats,X53)
      | ~ c_in(X52,c_IntDef_ONats,X53)
      | c_in(c_times(X52,X51,X53),c_IntDef_ONats,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2612]) ).

fof(c_0_4815,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X25),X23),c_Message_Oanalz(X24),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X25)),c_Message_Oanalz(X24),tc_Message_Omsg)
      | c_in(X23,c_Message_Oanalz(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2613]) ).

fof(c_0_4816,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_less(c_1,c_Numeral_Onumber__of(X51,X52),X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2614]) ).

fof(c_0_4817,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Main_OInterI__1(X52,X51,X53),X53)
      | c_in(X52,c_Inter(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2615]) ).

fof(c_0_4818,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Main_OInter__iff__1(X52,X51,X53),X53)
      | c_in(X52,c_Inter(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2616]) ).

fof(c_0_4819,plain,
    ! [X13,X14] :
      ( ~ c_in(X13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X13)),tc_Message_Omsg)
      | c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2617])])]) ).

fof(c_0_4820,plain,
    ! [X13,X14] :
      ( ~ c_in(X13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X13)),tc_Message_Omsg)
      | c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2618])])]) ).

fof(c_0_4821,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | ~ c_List_Odistinct(X68,X69)
      | c_inter(c_List_Oset(X68,X69),c_List_Oset(X67,X69),X69) != c_emptyset
      | c_List_Odistinct(c_append(X68,X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2619]) ).

fof(c_0_4822,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | ~ c_in(X51,X53,X54)
      | c_in(X51,c_inter(X53,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2620]) ).

fof(c_0_4823,plain,
    ! [X64,X65] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    inference(variable_rename,[status(thm)],[c_0_2621]) ).

fof(c_0_4824,plain,
    ! [X62,X63] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X63,tc_nat),c_Numeral_Onumber__of(X62,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),c_Numeral_Onumber__of(X62,tc_nat),tc_IntDef_Oint)) ),
    inference(variable_rename,[status(thm)],[c_0_2622]) ).

fof(c_0_4825,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Oset(c_List_Oremove1(X68,X67,X69),X69) = c_minus(c_List_Oset(X67,X69),c_insert(X68,c_emptyset,X69),tc_set(X69)) ),
    inference(variable_rename,[status(thm)],[c_0_2623]) ).

fof(c_0_4826,plain,
    ! [X51,X52,X53,X54] :
      ( c_insert(X51,c_emptyset,X54) != c_insert(X52,X53,X54)
      | c_lessequals(X53,c_insert(X51,c_emptyset,X54),tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2624]) ).

fof(c_0_4827,plain,
    ! [X51,X52,X53,X54] :
      ( c_insert(X52,X53,X54) != c_insert(X51,c_emptyset,X54)
      | c_lessequals(X53,c_insert(X51,c_emptyset,X54),tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2625]) ).

fof(c_0_4828,plain,
    ! [X51,X52] :
      ( ~ c_in(X51,c_Finite__Set_OFinites,tc_set(tc_set(X52)))
      | ~ c_in(c_Main_Ofinite__Union__1(X51,X52),c_Finite__Set_OFinites,tc_set(X52))
      | c_in(c_Union(X51,X52),c_Finite__Set_OFinites,tc_set(X52)) ),
    inference(variable_rename,[status(thm)],[c_0_2626]) ).

fof(c_0_4829,plain,
    ! [X67,X68,X69] :
      ( ~ c_less(X68,c_Nat_Osize(X67,tc_List_Olist(X69)),tc_nat)
      | c_in(c_List_Onth(X67,X68,X69),c_List_Oset(X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2627]) ).

fof(c_0_4830,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Ofield(X54)
      | c_times(X53,c_divide(X52,X51,X54),X54) = c_divide(c_times(X53,X52,X54),X51,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2628]) ).

fof(c_0_4831,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Ofield(X54)
      | c_times(c_divide(X52,X51,X54),X53,X54) = c_divide(c_times(X52,X53,X54),X51,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2629]) ).

fof(c_0_4832,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52)
      | c_1 = c_Numeral_Onumber__of(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2630]) ).

fof(c_0_4833,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_lessequals(X63,c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X64)
      | c_lessequals(c_Numeral_Onumber__of(X62,X64),c_uminus(X63,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2631]) ).

fof(c_0_4834,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_less(X63,c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X64)
      | c_less(c_Numeral_Onumber__of(X62,X64),c_uminus(X63,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2632]) ).

fof(c_0_4835,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X63,X64)
      | c_lessequals(c_uminus(X63,X64),c_Numeral_Onumber__of(X62,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2633]) ).

fof(c_0_4836,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X63,X64)
      | c_less(c_uminus(X63,X64),c_Numeral_Onumber__of(X62,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2634]) ).

fof(c_0_4837,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,c_Relation_Odiag(X52,X53),tc_prod(X53,X53))
      | c_in(c_Main_OdiagE__1(X52,X51,X53),X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2635]) ).

fof(c_0_4838,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,c_minus(X53,X52,tc_set(X54)),X54)
      | c_in(X51,X53,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2636]) ).

fof(c_0_4839,plain,
    ! [X26,X27] :
      ( ~ c_in(X26,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | ~ c_in(X27,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_OAbs__Integ(X27) != c_IntDef_OAbs__Integ(X26)
      | X27 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2637])])]) ).

fof(c_0_4840,plain,
    ! [X13,X14,X15] :
      ( ~ c_in(X15,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X15,X14),X13,tc_Event_Oevent)) = c_insert(X14,c_Event_Oknows(c_Message_Oagent_OSpy,X13),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2638]) ).

fof(c_0_4841,plain,
    ! [X67,X68,X69,X70] :
      ( X69 = X67
      | c_List_Oremove1(X69,c_List_Olist_OCons(X67,X68,X70),X70) = c_List_Olist_OCons(X67,c_List_Oremove1(X69,X68,X70),X70) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2639])])]) ).

fof(c_0_4842,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(X51,c_inter(X53,X52,X54),tc_set(X54))
      | c_lessequals(X51,X53,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2640]) ).

fof(c_0_4843,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(X51,c_inter(X53,X52,X54),tc_set(X54))
      | c_lessequals(X51,X52,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2641]) ).

fof(c_0_4844,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(c_union(X53,X52,X54),X51,tc_set(X54))
      | c_lessequals(X53,X51,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2642]) ).

fof(c_0_4845,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(c_union(X53,X52,X54),X51,tc_set(X54))
      | c_lessequals(X52,X51,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2643]) ).

fof(c_0_4846,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(c_insert(X51,X53,X54),X52,tc_set(X54))
      | c_lessequals(X53,X52,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2644]) ).

fof(c_0_4847,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(c_1,X55,tc_nat)
      | ~ c_lessequals(c_1,X56,tc_nat)
      | c_lessequals(c_Suc(c_0),c_times(X56,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2645])])]) ).

fof(c_0_4848,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X29,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | ~ c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2646]) ).

fof(c_0_4849,plain,
    ! [X23,X24,X25] :
      ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2647]) ).

fof(c_0_4850,plain,
    ! [X82,X83,X84] :
      ( ~ c_in(c_union(X83,X82,X84),c_Finite__Set_OFinites,tc_set(X84))
      | c_in(X83,c_Finite__Set_OFinites,tc_set(X84)) ),
    inference(variable_rename,[status(thm)],[c_0_2648]) ).

fof(c_0_4851,plain,
    ! [X82,X83,X84] :
      ( ~ c_in(c_union(X83,X82,X84),c_Finite__Set_OFinites,tc_set(X84))
      | c_in(X82,c_Finite__Set_OFinites,tc_set(X84)) ),
    inference(variable_rename,[status(thm)],[c_0_2649]) ).

fof(c_0_4852,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(c_insert(X51,X52,X53),c_Finite__Set_OFinites,tc_set(X53))
      | c_in(X52,c_Finite__Set_OFinites,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2650]) ).

fof(c_0_4853,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X56,tc_nat)
      | ~ c_less(c_1,X55,tc_nat)
      | c_less(c_div(X56,X55,tc_nat),X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2651]) ).

fof(c_0_4854,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X56,tc_nat)
      | ~ c_less(c_0,X55,tc_nat)
      | c_less(c_minus(X56,X55,tc_nat),X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2652]) ).

fof(c_0_4855,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ class_Orderings_Olinorder(X52)
      | ~ c_less(c_plus(X51,X51,X52),c_0,X52)
      | c_less(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2653]) ).

fof(c_0_4856,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_in(X67,c_List_Olists(X69,X70),tc_List_Olist(X70))
      | ~ c_in(X68,c_List_Oset(X67,X70),X70)
      | c_in(X68,X69,X70) ),
    inference(variable_rename,[status(thm)],[c_0_2654]) ).

fof(c_0_4857,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X55,tc_nat)
      | ~ c_less(c_0,X56,tc_nat)
      | c_less(c_0,c_times(X56,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2655])])]) ).

fof(c_0_4858,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_lessequals(c_insert(X51,X53,X54),X52,tc_set(X54))
      | c_in(X51,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2656]) ).

fof(c_0_4859,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X68,X67,X69),X69)
      | ~ c_in(X68,c_List_Oset(X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2657]) ).

fof(c_0_4860,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(c_Orderings_Omax(X65,X64,X66),X63,X66)
      | c_less(X65,X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2658]) ).

fof(c_0_4861,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(c_Orderings_Omax(X65,X64,X66),X63,X66)
      | c_less(X64,X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2659]) ).

fof(c_0_4862,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(X63,c_Orderings_Omin(X65,X64,X66),X66)
      | c_less(X63,X65,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2660]) ).

fof(c_0_4863,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_less(X63,c_Orderings_Omin(X65,X64,X66),X66)
      | c_less(X63,X64,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2661]) ).

fof(c_0_4864,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(X65,c_Orderings_Omin(X64,X63,X66),X66)
      | c_lessequals(X65,X64,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2662]) ).

fof(c_0_4865,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(X65,c_Orderings_Omin(X64,X63,X66),X66)
      | c_lessequals(X65,X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2663]) ).

fof(c_0_4866,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(c_Orderings_Omax(X65,X64,X66),X63,X66)
      | c_lessequals(X65,X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2664]) ).

fof(c_0_4867,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Olinorder(X66)
      | ~ c_lessequals(c_Orderings_Omax(X65,X64,X66),X63,X66)
      | c_lessequals(X64,X63,X66) ),
    inference(variable_rename,[status(thm)],[c_0_2665]) ).

fof(c_0_4868,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OatLeastAtMost(X59,X58,X61),X61)
      | c_lessequals(X59,X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2666]) ).

fof(c_0_4869,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OatLeastAtMost(X59,X58,X61),X61)
      | c_lessequals(X60,X58,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2667]) ).

fof(c_0_4870,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OatLeastLessThan(X59,X58,X61),X61)
      | c_lessequals(X59,X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2668]) ).

fof(c_0_4871,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OatLeastLessThan(X59,X58,X61),X61)
      | c_less(X60,X58,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2669]) ).

fof(c_0_4872,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OgreaterThanAtMost(X59,X58,X61),X61)
      | c_less(X59,X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2670]) ).

fof(c_0_4873,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OgreaterThanAtMost(X59,X58,X61),X61)
      | c_lessequals(X60,X58,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2671]) ).

fof(c_0_4874,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OgreaterThanLessThan(X59,X58,X61),X61)
      | c_less(X59,X60,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2672]) ).

fof(c_0_4875,plain,
    ! [X58,X59,X60,X61] :
      ( ~ class_Orderings_Oord(X61)
      | ~ c_in(X60,c_SetInterval_OgreaterThanLessThan(X59,X58,X61),X61)
      | c_less(X60,X58,X61) ),
    inference(variable_rename,[status(thm)],[c_0_2673]) ).

fof(c_0_4876,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oanalz(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X24)),c_Message_Oanalz(X25),tc_Message_Omsg)
      | c_in(X23,c_Message_Oanalz(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2674]) ).

fof(c_0_4877,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X57)
      | ~ c_lessequals(X55,X56,tc_nat)
      | c_NatArith_Oof__nat(c_minus(X56,X55,tc_nat),X57) = c_minus(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57) ),
    inference(variable_rename,[status(thm)],[c_0_2675]) ).

fof(c_0_4878,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(c_Main_OsubsetI__1(X52,X51,X53),X51,X53)
      | c_lessequals(X52,X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2676]) ).

fof(c_0_4879,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X53,X54)
      | c_in(X51,X52,X54)
      | c_in(X51,c_minus(X53,X52,tc_set(X54)),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2677]) ).

fof(c_0_4880,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_lessequals(c_Numeral_Onumber__of(X62,X64),c_uminus(X63,X64),X64)
      | c_lessequals(X63,c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2678]) ).

fof(c_0_4881,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_less(c_Numeral_Onumber__of(X62,X64),c_uminus(X63,X64),X64)
      | c_less(X63,c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_2679]) ).

fof(c_0_4882,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_lessequals(c_uminus(X63,X64),c_Numeral_Onumber__of(X62,X64),X64)
      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2680]) ).

fof(c_0_4883,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X64)
      | ~ c_less(c_uminus(X63,X64),c_Numeral_Onumber__of(X62,X64),X64)
      | c_less(c_uminus(c_Numeral_Onumber__of(X62,X64),X64),X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_2681]) ).

fof(c_0_4884,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_divide(c_1,X51,X52),c_0,X52)
      | c_lessequals(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2682]) ).

fof(c_0_4885,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_divide(c_1,X51,X52),c_0,X52)
      | c_less(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2683]) ).

fof(c_0_4886,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_0,c_divide(c_1,X51,X52),X52)
      | c_lessequals(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2684]) ).

fof(c_0_4887,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_0,c_divide(c_1,X51,X52),X52)
      | c_less(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2685]) ).

fof(c_0_4888,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | c_minus(c_insert(X51,X53,X54),X52,tc_set(X54)) = c_minus(X53,X52,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2686]) ).

fof(c_0_4889,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2687]) ).

fof(c_0_4890,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2688]) ).

fof(c_0_4891,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(c_minus(X52,X51,X53),c_0,X53)
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2689]) ).

fof(c_0_4892,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(c_minus(X52,X51,X53),c_0,X53)
      | c_less(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2690]) ).

fof(c_0_4893,plain,
    ! [X50,X51] :
      ( X51 = c_0
      | c_div(c_plus(X51,X50,tc_IntDef_Oint),X51,tc_IntDef_Oint) = c_plus(c_div(X50,X51,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2691]) ).

fof(c_0_4894,plain,
    ! [X50,X51] :
      ( X51 = c_0
      | c_div(c_plus(X50,X51,tc_IntDef_Oint),X51,tc_IntDef_Oint) = c_plus(c_div(X50,X51,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2692]) ).

fof(c_0_4895,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52)
      | ~ c_lessequals(c_Numeral_Onumber__of(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2693]) ).

fof(c_0_4896,plain,
    ! [X55,X56,X57] :
      ( c_less(c_0,X57,tc_nat)
      | c_lessequals(c_times(X57,X56,tc_nat),c_times(X57,X55,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2694]) ).

fof(c_0_4897,plain,
    ! [X55,X56,X57] :
      ( c_less(c_0,X57,tc_nat)
      | c_lessequals(c_times(X56,X57,tc_nat),c_times(X55,X57,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2695]) ).

fof(c_0_4898,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(c_plus(X51,X51,X52),c_0,X52)
      | c_lessequals(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2696]) ).

fof(c_0_4899,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(c_0,c_plus(X51,X51,X52),X52)
      | c_lessequals(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2697]) ).

fof(c_0_4900,plain,
    ! [X66,X67,X68,X69] :
      ( ~ c_List_Oop_Amem(X68,c_List_Olist_OCons(X67,X66,X69),X69)
      | c_List_Oop_Amem(X68,X66,X69)
      | X67 = X68 ),
    inference(variable_rename,[status(thm)],[c_0_2698]) ).

fof(c_0_4901,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X52,c_insert(X51,X53,X54),X54)
      | c_in(X52,X53,X54)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_2699]) ).

fof(c_0_4902,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2700]) ).

fof(c_0_4903,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,c_inter(X53,X52,X54),X54)
      | c_in(X51,X53,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2701]) ).

fof(c_0_4904,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,c_inter(X53,X52,X54),X54)
      | c_in(X51,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2702]) ).

fof(c_0_4905,plain,
    ! [X51,X52,X53,X54] :
      ( c_inter(X52,c_insert(X51,X53,X54),X54) != c_emptyset
      | c_inter(X52,X53,X54) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2703]) ).

fof(c_0_4906,plain,
    ! [X51,X52,X53,X54] :
      ( c_emptyset != c_inter(X53,c_insert(X51,X52,X54),X54)
      | c_emptyset = c_inter(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2704]) ).

fof(c_0_4907,plain,
    ! [X51,X52,X53,X54] :
      ( c_inter(c_insert(X51,X53,X54),X52,X54) != c_emptyset
      | c_inter(X53,X52,X54) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2705]) ).

fof(c_0_4908,plain,
    ! [X51,X52,X53,X54] :
      ( c_emptyset != c_inter(c_insert(X51,X53,X54),X52,X54)
      | c_emptyset = c_inter(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2706]) ).

fof(c_0_4909,plain,
    ! [X54] :
      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X54,tc_IntDef_Oint),tc_IntDef_Oint)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2707]) ).

fof(c_0_4910,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | c_Numeral_Onumber__of(X51,X52) != c_1
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2708]) ).

fof(c_0_4911,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | ~ class_Ring__and__Field_Oordered__idom(X53)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X52,c_Numeral_Obin__minus(X51)),X53),X53)
      | c_less(c_Numeral_Onumber__of(X52,X53),c_Numeral_Onumber__of(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2709]) ).

fof(c_0_4912,plain,
    ! [X64,X65] :
      ( ~ c_less(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2710]) ).

fof(c_0_4913,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | X53 = c_emptyset
      | c_Finite__Set_OMax(c_insert(X52,X53,X54),X54) = c_Orderings_Omax(X52,c_Finite__Set_OMax(X53,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2711]) ).

fof(c_0_4914,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | X53 = c_emptyset
      | c_Finite__Set_OMin(c_insert(X52,X53,X54),X54) = c_Orderings_Omin(X52,c_Finite__Set_OMin(X53,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2712]) ).

fof(c_0_4915,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X56,X55,tc_nat),tc_nat)
      | c_lessequals(c_1,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2713]) ).

fof(c_0_4916,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(c_Suc(c_0),c_times(X56,X55,tc_nat),tc_nat)
      | c_lessequals(c_1,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2714])])]) ).

fof(c_0_4917,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52)
      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2715]) ).

fof(c_0_4918,plain,
    ! [X51,X52,X53,X54] :
      ( c_inter(X52,X53,X54) != c_emptyset
      | c_in(X51,X52,X54)
      | c_inter(X52,c_insert(X51,X53,X54),X54) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2716]) ).

fof(c_0_4919,plain,
    ! [X51,X52,X53,X54] :
      ( c_emptyset != c_inter(X53,X52,X54)
      | c_in(X51,X53,X54)
      | c_emptyset = c_inter(X53,c_insert(X51,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2717]) ).

fof(c_0_4920,plain,
    ! [X51,X52,X53,X54] :
      ( c_inter(X53,X52,X54) != c_emptyset
      | c_in(X51,X52,X54)
      | c_inter(c_insert(X51,X53,X54),X52,X54) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2718]) ).

fof(c_0_4921,plain,
    ! [X51,X52,X53,X54] :
      ( c_emptyset != c_inter(X53,X52,X54)
      | c_in(X51,X52,X54)
      | c_emptyset = c_inter(c_insert(X51,X53,X54),X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2719]) ).

fof(c_0_4922,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_less(X69,X68,tc_nat)
      | c_List_Onth(c_List_Otake(X68,X67,X70),X69,X70) = c_List_Onth(X67,X69,X70) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2720])])]) ).

fof(c_0_4923,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(X51,X52,X53)
      | c_Finite__Set_Ocard(c_insert(X51,X52,X53),X53) = c_Suc(c_Finite__Set_Ocard(X52,X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2721]) ).

fof(c_0_4924,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | ~ class_Ring__and__Field_Oordered__idom(X53)
      | ~ c_less(c_Numeral_Onumber__of(X52,X53),c_Numeral_Onumber__of(X51,X53),X53)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X52,c_Numeral_Obin__minus(X51)),X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2722]) ).

fof(c_0_4925,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,c_minus(X55,X56,tc_nat),tc_nat)
      | c_less(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2723]) ).

fof(c_0_4926,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_append(X68,X67,X69),X69)
      | c_inter(c_List_Oset(X68,X69),c_List_Oset(X67,X69),X69) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2724]) ).

fof(c_0_4927,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_OHPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X29,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2725]) ).

fof(c_0_4928,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Yahalom_OKeyWithNonce(X18,X17,X15)
      | c_Yahalom_OKeyWithNonce(X18,X17,c_List_Olist_OCons(c_Event_Oevent_OGets(X19,X16),X15,tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2726])])]) ).

fof(c_0_4929,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Yahalom_OKeyWithNonce(X18,X17,X15)
      | c_Yahalom_OKeyWithNonce(X18,X17,c_List_Olist_OCons(c_Event_Oevent_ONotes(X19,X16),X15,tc_Event_Oevent)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2727])])]) ).

fof(c_0_4930,plain,
    ! [X73,X74,X75,X76] :
      ( c_in(X75,c_List_Oset(X73,X76),X76)
      | c_List_Olist__inter(c_List_Olist_OCons(X75,X74,X76),X73,X76) = c_List_Olist__inter(X74,X73,X76) ),
    inference(variable_rename,[status(thm)],[c_0_2728]) ).

fof(c_0_4931,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,c_times(X56,X55,tc_nat),tc_nat)
      | c_less(c_0,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2729]) ).

fof(c_0_4932,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,c_times(X56,X55,tc_nat),tc_nat)
      | c_less(c_0,X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2730])])]) ).

fof(c_0_4933,plain,
    ! [X63,X64] :
      ( ~ c_less(X64,c_plus(X63,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_lessequals(X64,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2731]) ).

fof(c_0_4934,plain,
    ! [X63,X64] :
      ( ~ c_lessequals(X64,c_minus(X63,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(X64,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2732]) ).

fof(c_0_4935,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Union(X51,X53),X53)
      | c_in(c_Main_OUnionE__1(X52,X51,X53),X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2733]) ).

fof(c_0_4936,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Union(X51,X53),X53)
      | c_in(c_Main_OUnion__iff__1(X52,X51,X53),X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2734]) ).

fof(c_0_4937,plain,
    ! [X13,X14] :
      ( ~ c_in(X14,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X13)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2735]) ).

fof(c_0_4938,plain,
    ! [X13,X14] :
      ( ~ c_in(X14,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X13)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2736]) ).

fof(c_0_4939,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2737]) ).

fof(c_0_4940,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2738])])]) ).

fof(c_0_4941,plain,
    ! [X67,X68,X69,X70] :
      ( c_List_Orev(X69,X70) != c_List_Olist_OCons(X68,X67,X70)
      | X69 = c_append(c_List_Orev(X67,X70),c_List_Olist_OCons(X68,c_List_Olist_ONil,X70),X70) ),
    inference(variable_rename,[status(thm)],[c_0_2739]) ).

fof(c_0_4942,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(c_0,X52,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X51,c_List_Olist_ONil,X53),X52,X53) = c_List_Olist_OCons(X51,c_List_Olist_ONil,X53) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2740])])]) ).

fof(c_0_4943,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52)
      | c_lessequals(c_Numeral_Onumber__of(X51,X52),c_1,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2741]) ).

fof(c_0_4944,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Union(X51,X53),X53)
      | c_in(X52,c_Main_OUnionE__1(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2742]) ).

fof(c_0_4945,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Union(X51,X53),X53)
      | c_in(X52,c_Main_OUnion__iff__1(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2743]) ).

fof(c_0_4946,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62),c_0,X62)
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2744]) ).

fof(c_0_4947,plain,
    ! [X51,X52] :
      ( ~ c_in(X51,c_Finite__Set_OFinites,tc_set(tc_set(X52)))
      | c_in(c_Main_Ofinite__Union__1(X51,X52),X51,tc_set(X52))
      | c_in(c_Union(X51,X52),c_Finite__Set_OFinites,tc_set(X52)) ),
    inference(variable_rename,[status(thm)],[c_0_2745]) ).

fof(c_0_4948,plain,
    ! [X56,X57] :
      ( ~ c_lessequals(X57,X56,tc_nat)
      | c_List_Oupt(X57,c_Suc(X56)) = c_append(c_List_Oupt(X57,X56),c_List_Olist_OCons(X56,c_List_Olist_ONil,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2746]) ).

fof(c_0_4949,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_OkeysFor(c_Message_Osynth(X24)),tc_nat)
      | c_in(X23,c_Message_OkeysFor(X24),tc_nat)
      | c_in(c_Message_Omsg_OKey(v_sko__uhi(X24,X23)),X24,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2747]) ).

fof(c_0_4950,plain,
    ! [X51,X52,X53,X54] :
      ( c_in(X51,X53,X54)
      | c_minus(X53,c_insert(X51,X52,X54),tc_set(X54)) = c_minus(X53,X52,tc_set(X54)) ),
    inference(variable_rename,[status(thm)],[c_0_2748]) ).

fof(c_0_4951,plain,
    ! [X61,X62] :
      ( ~ c_less(c_0,X61,tc_nat)
      | c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2749])])]) ).

fof(c_0_4952,plain,
    ! [X67,X68,X69] :
      ( c_in(X68,c_List_Oset(X67,X69),X69)
      | c_List_Oremdups(c_List_Olist_OCons(X68,X67,X69),X69) = c_List_Olist_OCons(X68,c_List_Oremdups(X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2750]) ).

fof(c_0_4953,plain,
    ! [X62] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2751]) ).

fof(c_0_4954,plain,
    ! [X28,X29,X30] :
      ( ~ c_in(X30,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X29,X30))),c_Event_Oknows(c_Message_Oagent_OSpy,X28),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2752]) ).

fof(c_0_4955,plain,
    ! [X67,X68,X69] :
      ( ~ c_less(X68,c_Nat_Osize(X67,tc_List_Olist(X69)),tc_nat)
      | c_List_Olast(c_List_Odrop(X68,X67,X69),X69) = c_List_Olast(X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2753]) ).

fof(c_0_4956,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63)
      | X61 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2754]) ).

fof(c_0_4957,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,tc_set(X54))
      | ~ c_in(X53,c_Inter(X52,X54),X54)
      | c_in(X53,X51,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2755]) ).

fof(c_0_4958,plain,
    ! [X54,X55,X56] :
      ( X55 = c_0
      | c_List_Otl(c_List_Oreplicate(X55,X54,X56),X56) = c_List_Oreplicate(c_minus(X55,c_1,tc_nat),X54,X56) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2756])])]) ).

fof(c_0_4959,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(c_times(c_0,X52,X53),c_times(c_0,X51,X53),X53) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2757]) ).

fof(c_0_4960,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(c_times(X52,c_0,X53),c_times(X51,c_0,X53),X53) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2758]) ).

fof(c_0_4961,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(c_uminus(X52,tc_set(X53)),c_uminus(X51,tc_set(X53)),tc_set(X53))
      | c_lessequals(X51,X52,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2759]) ).

fof(c_0_4962,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_lessequals(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2760]) ).

fof(c_0_4963,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | X62 = c_times(c_divide(X62,c_Numeral_Onumber__of(X61,X63),X63),c_Numeral_Onumber__of(X61,X63),X63)
      | c_Numeral_Onumber__of(X61,X63) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2761]) ).

fof(c_0_4964,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | c_Numeral_Onumber__of(X61,X63) = c_0
      | c_divide(c_times(X62,c_Numeral_Onumber__of(X61,X63),X63),c_Numeral_Onumber__of(X61,X63),X63) = X62 ),
    inference(variable_rename,[status(thm)],[c_0_2762]) ).

fof(c_0_4965,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | c_Numeral_Onumber__of(X61,X63) = c_0
      | c_times(c_divide(X62,c_Numeral_Onumber__of(X61,X63),X63),c_Numeral_Onumber__of(X61,X63),X63) = X62 ),
    inference(variable_rename,[status(thm)],[c_0_2763]) ).

fof(c_0_4966,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | X62 = c_divide(c_times(X62,c_Numeral_Onumber__of(X61,X63),X63),c_Numeral_Onumber__of(X61,X63),X63)
      | c_Numeral_Onumber__of(X61,X63) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2764]) ).

fof(c_0_4967,plain,
    ! [X67,X68,X69] :
      ( c_in(X67,c_List_Olists(X68,X69),tc_List_Olist(X69))
      | c_in(c_Main_Oin__listsI__1(X68,X67,X69),c_List_Oset(X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2765]) ).

fof(c_0_4968,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2766]) ).

fof(c_0_4969,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(X23,c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2767]) ).

fof(c_0_4970,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X24),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2768]) ).

fof(c_0_4971,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(X31),tc_Message_Omsg)
      | c_in(X29,c_Message_Osynth(X31),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X30,X29),X31,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2769]) ).

fof(c_0_4972,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(X31),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X30,X29),X31,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2770]) ).

fof(c_0_4973,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(X23,c_Message_Osynth(X25),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X24),X25,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2771]) ).

fof(c_0_4974,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(X29,c_Message_Osynth(X31),tc_Message_Omsg)
      | ~ c_in(X30,c_Message_Osynth(X31),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2772]) ).

fof(c_0_4975,plain,
    ! [X83,X84,X85] :
      ( ~ c_in(X84,c_Finite__Set_OFinites,tc_set(X85))
      | c_in(c_minus(X84,X83,tc_set(X85)),c_Finite__Set_OFinites,tc_set(X85)) ),
    inference(variable_rename,[status(thm)],[c_0_2773]) ).

fof(c_0_4976,plain,
    ! [X55,X56,X57,X58] :
      ( ~ class_Power_Orecpower(X58)
      | ~ class_Ring__and__Field_Oordered__semidom(X58)
      | ~ c_less(c_1,X57,X58)
      | c_Nat_Opower(X57,X56,X58) != c_Nat_Opower(X57,X55,X58)
      | X56 = X55 ),
    inference(variable_rename,[status(thm)],[c_0_2774]) ).

fof(c_0_4977,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | X53 = c_emptyset
      | c_Orderings_Omin(X52,c_Finite__Set_OMax(X53,X54),X54) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_2775]) ).

fof(c_0_4978,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | ~ c_in(X52,X53,X54)
      | ~ c_in(X53,c_Finite__Set_OFinites,tc_set(X54))
      | X53 = c_emptyset
      | c_Orderings_Omax(X52,c_Finite__Set_OMin(X53,X54),X54) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_2776]) ).

fof(c_0_4979,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X24,X23),X25,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Osynth(X25),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X24),X25,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2777]) ).

fof(c_0_4980,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X51,X52,X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_lessequals(X51,c_Finite__Set_OMax(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2778]) ).

fof(c_0_4981,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X51,X52,X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_lessequals(c_Finite__Set_OMin(X52,X53),X51,X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2779]) ).

fof(c_0_4982,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52)
      | c_less(c_0,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2780]) ).

fof(c_0_4983,plain,
    ! [X64] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    inference(variable_rename,[status(thm)],[c_0_2781]) ).

fof(c_0_4984,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X53,X51,X54)
      | ~ c_in(X51,X52,tc_set(X54))
      | c_in(X53,c_Union(X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2782]) ).

fof(c_0_4985,plain,
    ! [X67,X68,X69] :
      ( ~ c_in(X68,c_List_Oset(X67,X69),X69)
      | c_List_Oremdups(c_List_Olist_OCons(X68,X67,X69),X69) = c_List_Oremdups(X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2783]) ).

fof(c_0_4986,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_less(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X64),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2784]) ).

fof(c_0_4987,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_in(c_insert(X51,X52,X53),c_Finite__Set_OFinites,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2785]) ).

fof(c_0_4988,plain,
    ! [X82,X83,X84] :
      ( ~ c_in(X83,c_Finite__Set_OFinites,tc_set(X84))
      | c_in(c_inter(X83,X82,X84),c_Finite__Set_OFinites,tc_set(X84)) ),
    inference(variable_rename,[status(thm)],[c_0_2786]) ).

fof(c_0_4989,plain,
    ! [X82,X83,X84] :
      ( ~ c_in(X82,c_Finite__Set_OFinites,tc_set(X84))
      | c_in(c_inter(X83,X82,X84),c_Finite__Set_OFinites,tc_set(X84)) ),
    inference(variable_rename,[status(thm)],[c_0_2787]) ).

fof(c_0_4990,plain,
    ! [X67,X68,X69,X70] :
      ( c_Numeral_Onumber__of(X69,tc_nat) != c_0
      | c_List_Odrop(c_Numeral_Onumber__of(X69,tc_nat),c_List_Olist_OCons(X68,X67,X70),X70) = c_List_Olist_OCons(X68,X67,X70) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2788])])]) ).

fof(c_0_4991,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ class_Orderings_Olinorder(X52)
      | ~ c_less(X51,c_0,X52)
      | c_less(c_plus(X51,X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2789]) ).

fof(c_0_4992,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber(X62)
      | ~ class_Ring__and__Field_Odivision__by__zero(X62)
      | ~ class_Ring__and__Field_Ofield(X62)
      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X61,X62),X62),c_Numeral_Onumber__of(X61,X62),X62) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2790]) ).

fof(c_0_4993,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber(X62)
      | ~ class_Ring__and__Field_Odivision__by__zero(X62)
      | ~ class_Ring__and__Field_Ofield(X62)
      | c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X61,X62),X62),c_Numeral_Onumber__of(X61,X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_2791]) ).

fof(c_0_4994,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52)
      | c_less(c_Numeral_Onumber__of(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2792]) ).

fof(c_0_4995,plain,
    ! [X23,X24] :
      ( c_in(X23,c_Message_OkeysFor(c_Message_Oanalz(X24)),tc_nat)
      | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X23),X24,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X23),c_Message_Oanalz(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2793]) ).

fof(c_0_4996,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_lessequals(c_divide(c_1,X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2794]) ).

fof(c_0_4997,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(X51,c_0,X52)
      | c_less(c_divide(c_1,X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2795]) ).

fof(c_0_4998,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_lessequals(c_0,c_divide(c_1,X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2796]) ).

fof(c_0_4999,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_0,X51,X52)
      | c_less(c_0,c_divide(c_1,X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2797]) ).

fof(c_0_5000,plain,
    ! [X26,X27] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X27,tc_IntDef_Oint),c_Numeral_Onumber__of(X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X26,tc_IntDef_Oint),c_Numeral_Onumber__of(X27,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2798]) ).

fof(c_0_5001,plain,
    ! [X26,X27] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X26,tc_IntDef_Oint),c_Numeral_Onumber__of(X27,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X27,tc_IntDef_Oint),c_Numeral_Onumber__of(X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2799]) ).

fof(c_0_5002,plain,
    ! [X26,X27] :
      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X27,tc_nat),c_Numeral_Onumber__of(X26,tc_nat),tc_nat)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X26,tc_nat),c_Numeral_Onumber__of(X27,tc_nat),tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2800]) ).

fof(c_0_5003,plain,
    ! [X26,X27] :
      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X26,tc_nat),c_Numeral_Onumber__of(X27,tc_nat),tc_nat) != c_0
      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X27,tc_nat),c_Numeral_Onumber__of(X26,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2801]) ).

fof(c_0_5004,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_minus(X52,X51,X53),c_0,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2802]) ).

fof(c_0_5005,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(X52,X51,X53)
      | c_less(c_minus(X52,X51,X53),c_0,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2803]) ).

fof(c_0_5006,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,c_insert(X52,c_emptyset,X53),X53)
      | X51 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2804])])]) ).

fof(c_0_5007,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_Nat_Opower(c_HOL_Oabs(X61,X63),c_Numeral_Onumber__of(X62,tc_nat),X63) = c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2805]) ).

fof(c_0_5008,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_lessequals(c_plus(X51,X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2806]) ).

fof(c_0_5009,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_lessequals(c_0,c_plus(X51,X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2807]) ).

fof(c_0_5010,plain,
    ! [X54,X55] :
      ( ~ c_less(c_0,X54,tc_nat)
      | c_less(c_minus(X54,c_Suc(X55),tc_nat),X54,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2808])])]) ).

fof(c_0_5011,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Oorder(X52)
      | c_minus(c_insert(X51,c_emptyset,X52),c_SetInterval_OlessThan(X51,X52),tc_set(X52)) = c_insert(X51,c_emptyset,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2809]) ).

fof(c_0_5012,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X51,X52),X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2810]) ).

fof(c_0_5013,plain,
    ! [X51,X52,X53] :
      ( c_in(X52,c_Inter(X51,X53),X53)
      | c_in(c_Main_OInterI__1(X52,X51,X53),X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2811]) ).

fof(c_0_5014,plain,
    ! [X51,X52,X53] :
      ( c_in(X52,c_Inter(X51,X53),X53)
      | c_in(c_Main_OInter__iff__1(X52,X51,X53),X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2812]) ).

fof(c_0_5015,plain,
    ! [X66,X67,X68,X69] :
      ( ~ c_List_Oop_Amem(X68,X66,X69)
      | c_List_Oop_Amem(X68,c_List_Olist_OCons(X67,X66,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2813]) ).

fof(c_0_5016,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X53,X54)
      | c_in(X51,c_union(X53,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2814]) ).

fof(c_0_5017,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X52,X54)
      | c_in(X51,c_union(X53,X52,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2815]) ).

fof(c_0_5018,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X52,X53,X54)
      | c_in(X52,c_insert(X51,X53,X54),X54) ),
    inference(variable_rename,[status(thm)],[c_0_2816]) ).

fof(c_0_5019,plain,
    ! [X54,X55,X56,X57] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_List_Onth(c_List_Oreplicate(X55,X54,X57),X56,X57) = X54 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2817])])]) ).

fof(c_0_5020,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_less(c_Numeral_Onumber__of(X51,X52),c_0,X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2818]) ).

fof(c_0_5021,plain,
    ! [X54,X55] :
      ( ~ c_lessequals(X54,X55,tc_nat)
      | c_minus(X55,c_minus(X55,X54,tc_nat),tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2819]) ).

fof(c_0_5022,plain,
    ! [X54,X55] :
      ( ~ c_lessequals(X55,X54,tc_nat)
      | c_plus(c_minus(X54,X55,tc_nat),X55,tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2820]) ).

fof(c_0_5023,plain,
    ! [X54,X55] :
      ( ~ c_lessequals(X55,X54,tc_nat)
      | c_plus(X55,c_minus(X54,X55,tc_nat),tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2821]) ).

fof(c_0_5024,plain,
    ! [X54,X55] :
      ( ~ c_lessequals(c_1,X55,tc_nat)
      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X55,X54,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2822]) ).

fof(c_0_5025,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | c_HOL_Oabs(c_divide(X52,X51,X53),X53) = c_divide(c_HOL_Oabs(X52,X53),c_HOL_Oabs(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2823]) ).

fof(c_0_5026,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_HOL_Oinverse(c_times(X52,X51,X53),X53) = c_times(c_HOL_Oinverse(X52,X53),c_HOL_Oinverse(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2824]) ).

fof(c_0_5027,plain,
    ! [X54] :
      ( ~ c_less(c_0,c_Nat_Opower(c_0,X54,tc_nat),tc_nat)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2825]) ).

fof(c_0_5028,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | c_Numeral_Onumber__of(X62,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2826]) ).

fof(c_0_5029,plain,
    ! [X55,X56] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_less(c_0,c_minus(X55,X56,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2827]) ).

fof(c_0_5030,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Oorder(X53)
      | ~ c_lessequals(c_SetInterval_OatLeast(X52,X53),c_SetInterval_OatLeast(X51,X53),tc_set(X53))
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2828]) ).

fof(c_0_5031,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Oorder(X53)
      | ~ c_lessequals(c_SetInterval_OatMost(X52,X53),c_SetInterval_OatMost(X51,X53),tc_set(X53))
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2829]) ).

fof(c_0_5032,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_lessequals(c_SetInterval_OgreaterThan(X52,X53),c_SetInterval_OgreaterThan(X51,X53),tc_set(X53))
      | c_lessequals(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2830]) ).

fof(c_0_5033,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_lessequals(c_SetInterval_OlessThan(X52,X53),c_SetInterval_OlessThan(X51,X53),tc_set(X53))
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2831]) ).

fof(c_0_5034,plain,
    ! [X54,X55] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_div(c_times(X55,X54,tc_nat),X55,tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2832]) ).

fof(c_0_5035,plain,
    ! [X54,X55] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_div(c_times(X54,X55,tc_nat),X55,tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2833]) ).

fof(c_0_5036,plain,
    ! [X51,X52] :
      ( X51 = c_List_Olist_ONil
      | c_append(c_List_Obutlast(X51,X52),c_List_Olist_OCons(c_List_Olast(X51,X52),c_List_Olist_ONil,X52),X52) = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2834])])]) ).

fof(c_0_5037,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_lessequals(c_Divides_Oop_Amod(X56,X55,tc_nat),X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2835])])]) ).

fof(c_0_5038,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_less(c_Divides_Oop_Amod(X56,X55,tc_nat),X55,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2836])])]) ).

fof(c_0_5039,plain,
    ! [X50,X51] :
      ( ~ c_less(X50,c_0,tc_IntDef_Oint)
      | c_less(X50,c_Divides_Oop_Amod(X51,X50,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2837])])]) ).

fof(c_0_5040,plain,
    ! [X50,X51] :
      ( ~ c_less(c_0,X50,tc_IntDef_Oint)
      | c_less(c_Divides_Oop_Amod(X51,X50,tc_IntDef_Oint),X50,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2838])])]) ).

fof(c_0_5041,plain,
    ! [X63,X64] :
      ( ~ c_lessequals(X64,X63,tc_IntDef_Oint)
      | c_less(X64,c_plus(X63,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2839]) ).

fof(c_0_5042,plain,
    ! [X63,X64] :
      ( ~ c_less(X64,X63,tc_IntDef_Oint)
      | c_lessequals(X64,c_minus(X63,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2840]) ).

fof(c_0_5043,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | ~ class_Ring__and__Field_Oordered__idom(X53)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(X52)),X53),X53)
      | c_lessequals(c_Numeral_Onumber__of(X52,X53),c_Numeral_Onumber__of(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2841]) ).

fof(c_0_5044,plain,
    ! [X69,X70,X71,X72,X73] :
      ( c_Nat_Osize(X70,tc_List_Olist(X73)) != c_Nat_Osize(X69,tc_List_Olist(X73))
      | c_append(X70,X72,X73) != c_append(X69,X71,X73)
      | X70 = X69 ),
    inference(variable_rename,[status(thm)],[c_0_2842]) ).

fof(c_0_5045,plain,
    ! [X69,X70,X71,X72,X73] :
      ( c_Nat_Osize(X70,tc_List_Olist(X73)) != c_Nat_Osize(X69,tc_List_Olist(X73))
      | c_append(X70,X72,X73) != c_append(X69,X71,X73)
      | X72 = X71 ),
    inference(variable_rename,[status(thm)],[c_0_2843]) ).

fof(c_0_5046,plain,
    ! [X69,X70,X71,X72,X73] :
      ( c_Nat_Osize(X72,tc_List_Olist(X73)) != c_Nat_Osize(X71,tc_List_Olist(X73))
      | c_append(X70,X72,X73) != c_append(X69,X71,X73)
      | X70 = X69 ),
    inference(variable_rename,[status(thm)],[c_0_2844]) ).

fof(c_0_5047,plain,
    ! [X69,X70,X71,X72,X73] :
      ( c_Nat_Osize(X72,tc_List_Olist(X73)) != c_Nat_Osize(X71,tc_List_Olist(X73))
      | c_append(X70,X72,X73) != c_append(X69,X71,X73)
      | X72 = X71 ),
    inference(variable_rename,[status(thm)],[c_0_2845]) ).

fof(c_0_5048,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_in(X51,X53,X54)
      | ~ c_lessequals(X53,X52,tc_set(X54))
      | c_in(X51,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2846]) ).

fof(c_0_5049,plain,
    ! [X50,X51] :
      ( ~ c_less(X50,c_0,tc_IntDef_Oint)
      | c_lessequals(c_Divides_Oop_Amod(X51,X50,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2847])])]) ).

fof(c_0_5050,plain,
    ! [X50,X51] :
      ( ~ c_less(c_0,X50,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Divides_Oop_Amod(X51,X50,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2848])])]) ).

fof(c_0_5051,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X56,tc_nat)
      | c_less(c_0,c_plus(X56,X55,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2849]) ).

fof(c_0_5052,plain,
    ! [X55,X56] :
      ( ~ c_less(c_0,X55,tc_nat)
      | c_less(c_0,c_plus(X56,X55,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2850])])]) ).

fof(c_0_5053,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X27,X26,tc_nat),tc_nat)
      | c_less(c_0,X26,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2851])])]) ).

fof(c_0_5054,plain,
    ! [X54,X55] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X54,X55,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2852]) ).

fof(c_0_5055,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Oab__group__add(X53)
      | c_uminus(c_plus(X52,X51,X53),X53) = c_plus(c_uminus(X52,X53),c_uminus(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2853]) ).

fof(c_0_5056,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X53)
      | c_uminus(c_LOrder_Ojoin(X52,X51,X53),X53) = c_LOrder_Omeet(c_uminus(X52,X53),c_uminus(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2854]) ).

fof(c_0_5057,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X53)
      | c_uminus(c_LOrder_Omeet(X52,X51,X53),X53) = c_LOrder_Ojoin(c_uminus(X52,X53),c_uminus(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2855]) ).

fof(c_0_5058,plain,
    ! [X95,X96,X97] :
      ( ~ c_in(X96,X95,tc_prod(X97,X97))
      | c_in(X96,c_Transitive__Closure_Ortrancl(X95,X97),tc_prod(X97,X97)) ),
    inference(variable_rename,[status(thm)],[c_0_2856]) ).

fof(c_0_5059,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X51,X52,tc_set(X53))
      | c_lessequals(c_uminus(X52,tc_set(X53)),c_uminus(X51,tc_set(X53)),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2857]) ).

fof(c_0_5060,plain,
    ! [X13,X14,X15] :
      ( c_in(X15,c_Event_Obad,tc_Message_Oagent)
      | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X15,X14),X13,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X13) ),
    inference(variable_rename,[status(thm)],[c_0_2858]) ).

fof(c_0_5061,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,X53)
      | ~ c_in(X51,c_uminus(X52,tc_set(X53)),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2859]) ).

fof(c_0_5062,plain,
    ! [X63,X64,X65] :
      ( ~ class_Numeral_Onumber__ring(X65)
      | c_times(c_uminus(c_Numeral_Onumber__of(X64,X65),X65),X63,X65) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X64),X65),X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_2860]) ).

fof(c_0_5063,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X65)
      | c_IntDef_Oof__int(c_plus(X64,X63,tc_IntDef_Oint),X65) = c_plus(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2861]) ).

fof(c_0_5064,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X65)
      | c_IntDef_Oof__int(c_minus(X64,X63,tc_IntDef_Oint),X65) = c_minus(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2862]) ).

fof(c_0_5065,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X65)
      | c_IntDef_Oof__int(c_times(X64,X63,tc_IntDef_Oint),X65) = c_times(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2863]) ).

fof(c_0_5066,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X57)
      | c_NatArith_Oof__nat(c_plus(X56,X55,tc_nat),X57) = c_plus(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57) ),
    inference(variable_rename,[status(thm)],[c_0_2864]) ).

fof(c_0_5067,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X57)
      | c_NatArith_Oof__nat(c_times(X56,X55,tc_nat),X57) = c_times(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57) ),
    inference(variable_rename,[status(thm)],[c_0_2865]) ).

fof(c_0_5068,plain,
    ! [X63,X64] :
      ( ~ c_less(X64,X63,tc_IntDef_Oint)
      | ~ c_less(c_0,X63,tc_IntDef_Oint)
      | c_less(c_IntDef_Onat(X64),c_IntDef_Onat(X63),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2866]) ).

fof(c_0_5069,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X64),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2867]) ).

fof(c_0_5070,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X51 = c_0
      | c_divide(X51,c_times(X51,X52,X53),X53) = c_divide(c_1,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2868]) ).

fof(c_0_5071,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X51 = c_0
      | c_divide(X51,c_times(X52,X51,X53),X53) = c_divide(c_1,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2869]) ).

fof(c_0_5072,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(c_uminus(X51,X53),c_uminus(X52,X53),X53)
      | c_lessequals(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2870]) ).

fof(c_0_5073,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(c_uminus(X51,X53),c_uminus(X52,X53),X53)
      | c_less(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2871]) ).

fof(c_0_5074,plain,
    ! [X62,X63] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X63,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Nat_Opower(c_Numeral_Onumber__of(X63,tc_nat),c_Numeral_Onumber__of(X62,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X62,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2872]) ).

fof(c_0_5075,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X56)
      | c_Parity_Oeven(X55,tc_nat)
      | c_Nat_Opower(c_uminus(X54,X56),X55,X56) = c_uminus(c_Nat_Opower(X54,X55,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2873]) ).

fof(c_0_5076,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oordered__idom(X65)
      | ~ c_lessequals(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65)
      | c_lessequals(X64,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2874]) ).

fof(c_0_5077,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oordered__idom(X65)
      | ~ c_less(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65)
      | c_less(X64,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2875]) ).

fof(c_0_5078,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X57)
      | ~ c_lessequals(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57)
      | c_lessequals(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2876]) ).

fof(c_0_5079,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X57)
      | ~ c_less(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57)
      | c_less(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2877]) ).

fof(c_0_5080,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Oordered__idom(X56)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X55,X56),X54,X56),X56)
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2878]) ).

fof(c_0_5081,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Oordered__idom(X56)
      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X55,X56),X54,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_2879]) ).

fof(c_0_5082,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | c_1 != c_Numeral_Onumber__of(X51,X52)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X51)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2880]) ).

fof(c_0_5083,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X30,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2881]) ).

fof(c_0_5084,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg)
      | c_in(X29,c_Message_Osynth(c_Message_Oanalz(X31)),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2882]) ).

fof(c_0_5085,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Odistinct(c_List_Olist_OCons(X68,X67,X69),X69)
      | c_in(X68,c_List_Oset(X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_2883]) ).

fof(c_0_5086,plain,
    ! [X27,X28] :
      ( ~ c_in(X28,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X27)),tc_Message_Omsg)
      | c_in(X28,c_Event_Oused(X27),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2884]) ).

fof(c_0_5087,plain,
    ! [X64,X65] :
      ( c_Numeral_Onumber__of(X65,tc_nat) != c_Numeral_Onumber__of(X64,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,c_Numeral_Obin__minus(X64)),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2885]) ).

fof(c_0_5088,plain,
    ! [X51,X52] :
      ( ~ class_Power_Orecpower(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X51,X52),c_0,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2886]) ).

fof(c_0_5089,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | c_Orderings_Omin(X53,c_Orderings_Omin(X53,X52,X54),X54) = c_Orderings_Omin(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2887]) ).

fof(c_0_5090,plain,
    ! [X52,X53,X54] :
      ( ~ class_Orderings_Olinorder(X54)
      | c_Orderings_Omax(X53,c_Orderings_Omax(X53,X52,X54),X54) = c_Orderings_Omax(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_2888]) ).

fof(c_0_5091,plain,
    ! [X51,X52,X53] :
      ( c_in(c_Main_OsubsetI__1(X52,X51,X53),X52,X53)
      | c_lessequals(X52,X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2889]) ).

fof(c_0_5092,plain,
    ! [X23,X24] :
      ( ~ c_in(c_Message_Omsg_OHash(X23),c_Message_Osynth(X24),tc_Message_Omsg)
      | c_in(X23,c_Message_Osynth(X24),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X23),X24,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2890]) ).

fof(c_0_5093,plain,
    ! [X61,X62] :
      ( c_Numeral_Onumber__of(X62,tc_nat) != c_0
      | c_less(c_0,c_Nat_Opower(X61,c_Numeral_Onumber__of(X62,tc_nat),tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2891]) ).

fof(c_0_5094,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | ~ c_less(c_Numeral_Onumber__of(X51,X52),c_0,X52)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X51,X52),X52) = c_uminus(c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2892]) ).

fof(c_0_5095,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X52,c_Numeral_Obin__minus(X51)),X53),X53)
      | c_Numeral_Onumber__of(X52,X53) = c_Numeral_Onumber__of(X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2893]) ).

fof(c_0_5096,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_nat)
      | ~ c_less(c_0,X26,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X27,X26,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2894]) ).

fof(c_0_5097,plain,
    ! [X54,X55] :
      ( ~ c_Parity_Oeven(X54,tc_IntDef_Oint)
      | ~ c_less(c_0,X55,tc_nat)
      | c_Parity_Oeven(c_Nat_Opower(X54,X55,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2895])])]) ).

fof(c_0_5098,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | c_minus(c_Numeral_Onumber__of(X62,X63),c_1,X63) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X62,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2896]) ).

fof(c_0_5099,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(c_1,c_uminus(X52,X53),X53)
      | c_lessequals(X52,c_uminus(c_1,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2897]) ).

fof(c_0_5100,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(c_1,c_uminus(X52,X53),X53)
      | c_less(X52,c_uminus(c_1,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2898]) ).

fof(c_0_5101,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X52),X51,X52) = c_uminus(c_divide(c_1,X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2899]) ).

fof(c_0_5102,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(c_uminus(X52,X53),c_1,X53)
      | c_lessequals(c_uminus(c_1,X53),X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2900]) ).

fof(c_0_5103,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(c_uminus(X52,X53),c_1,X53)
      | c_less(c_uminus(c_1,X53),X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2901]) ).

fof(c_0_5104,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X27,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2902])])]) ).

fof(c_0_5105,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_minus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X26,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2903]) ).

fof(c_0_5106,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X27,X26,tc_nat),tc_nat)
      | c_Parity_Oeven(X27,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2904])])]) ).

fof(c_0_5107,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_nat)
      | ~ c_Parity_Oeven(c_plus(X27,X26,tc_nat),tc_nat)
      | c_Parity_Oeven(X26,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2905]) ).

fof(c_0_5108,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X27,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2906])])]) ).

fof(c_0_5109,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(c_plus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X26,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2907]) ).

fof(c_0_5110,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(X52,c_uminus(c_1,X53),X53)
      | c_lessequals(c_1,c_uminus(X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2908]) ).

fof(c_0_5111,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(X52,c_uminus(c_1,X53),X53)
      | c_less(c_1,c_uminus(X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2909]) ).

fof(c_0_5112,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(c_uminus(c_1,X53),X52,X53)
      | c_lessequals(c_uminus(X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2910]) ).

fof(c_0_5113,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(c_uminus(c_1,X53),X52,X53)
      | c_less(c_uminus(X52,X53),c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2911]) ).

fof(c_0_5114,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(X52,c_uminus(X51,X53),X53) = c_uminus(c_divide(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2912]) ).

fof(c_0_5115,plain,
    ! [X51,X52] :
      ( ~ c_in(c_Pow(X51,X52),c_Finite__Set_OFinites,tc_set(tc_set(X52)))
      | c_in(X51,c_Finite__Set_OFinites,tc_set(X52)) ),
    inference(variable_rename,[status(thm)],[c_0_2913]) ).

fof(c_0_5116,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | c_Nat_Opower(X62,c_Numeral_Onumber__of(X61,tc_nat),X63) != c_0
      | c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2914]) ).

fof(c_0_5117,plain,
    ! [X51,X52,X53] :
      ( c_in(c_0,X52,tc_nat)
      | c_List_Osublist(c_List_Olist_OCons(X51,c_List_Olist_ONil,X53),X52,X53) = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2915])])]) ).

fof(c_0_5118,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(c_times(X27,X26,tc_nat),tc_nat)
      | c_Parity_Oeven(X26,tc_nat)
      | c_Parity_Oeven(X27,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2916]) ).

fof(c_0_5119,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(c_times(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X26,tc_IntDef_Oint)
      | c_Parity_Oeven(X27,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2917]) ).

fof(c_0_5120,plain,
    ! [X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_in(X52,c_Finite__Set_OFinites,tc_set(X53))
      | c_lessequals(c_Finite__Set_OMin(X52,X53),c_Finite__Set_OMax(X52,X53),X53)
      | X52 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_2918]) ).

fof(c_0_5121,plain,
    ! [X64,X65] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X65,X64),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2919])])]) ).

fof(c_0_5122,plain,
    ! [X51] :
      ( ~ class_Power_Orecpower(X51)
      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2920]) ).

fof(c_0_5123,plain,
    ! [X51] :
      ( ~ class_Power_Orecpower(X51)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2921]) ).

fof(c_0_5124,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(c_uminus(X52,X53),X51,X53) = c_uminus(c_divide(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2922]) ).

fof(c_0_5125,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oring(X53)
      | c_times(c_uminus(X52,X53),X51,X53) = c_uminus(c_times(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2923]) ).

fof(c_0_5126,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oring(X53)
      | c_times(X52,c_uminus(X51,X53),X53) = c_uminus(c_times(X52,X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2924]) ).

fof(c_0_5127,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_less(c_0,c_Numeral_Onumber__of(X61,tc_nat),tc_nat)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2925]) ).

fof(c_0_5128,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Oorder(X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_SetInterval_OatLeast(X52,X53),c_SetInterval_OatLeast(X51,X53),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2926]) ).

fof(c_0_5129,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Oorder(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_SetInterval_OatMost(X52,X53),c_SetInterval_OatMost(X51,X53),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2927]) ).

fof(c_0_5130,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_lessequals(X51,X52,X53)
      | c_lessequals(c_SetInterval_OgreaterThan(X52,X53),c_SetInterval_OgreaterThan(X51,X53),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2928]) ).

fof(c_0_5131,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_SetInterval_OlessThan(X52,X53),c_SetInterval_OlessThan(X51,X53),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2929]) ).

fof(c_0_5132,plain,
    ! [X67,X68,X69,X70] :
      ( c_Numeral_Onumber__of(X69,tc_nat) != c_0
      | c_List_Onth(c_List_Olist_OCons(X68,X67,X70),c_Numeral_Onumber__of(X69,tc_nat),X70) = X68 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2930])])]) ).

fof(c_0_5133,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Oparts(X24),tc_Message_Omsg)
      | c_Message_Oparts(c_insert(X23,X24,tc_Message_Omsg)) = c_Message_Oparts(X24) ),
    inference(variable_rename,[status(thm)],[c_0_2931]) ).

fof(c_0_5134,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(X68,X67,X69),X69)
      | c_List_Odistinct(X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2932]) ).

fof(c_0_5135,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_append(X68,X67,X69),X69)
      | c_List_Odistinct(X68,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2933]) ).

fof(c_0_5136,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_append(X68,X67,X69),X69)
      | c_List_Odistinct(X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2934]) ).

fof(c_0_5137,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(c_List_Orotate(X68,X67,X69),X69)
      | c_List_Odistinct(X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_2935]) ).

fof(c_0_5138,plain,
    ! [X51,X52] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X51,X52,X52),X52)
      | c_Wellfounded__Recursion_Oacyclic(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2936]) ).

fof(c_0_5139,plain,
    ! [X67,X68,X69,X70] :
      ( c_Numeral_Onumber__of(X69,tc_nat) != c_0
      | c_List_Otake(c_Numeral_Onumber__of(X69,tc_nat),c_List_Olist_OCons(X68,X67,X70),X70) = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2937])])]) ).

fof(c_0_5140,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52)
      | c_lessequals(c_Numeral_Onumber__of(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2938]) ).

fof(c_0_5141,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Numeral_Onumber__of(X65,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2939])])]) ).

fof(c_0_5142,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Numeral_Onumber__of(X65,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2940])])]) ).

fof(c_0_5143,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_OkeysFor(c_Message_Osynth(X24)),tc_nat)
      | c_in(X23,c_Message_OkeysFor(X24),tc_nat)
      | X23 = c_Message_OinvKey(v_sko__uhi(X24,X23)) ),
    inference(variable_rename,[status(thm)],[c_0_2941]) ).

fof(c_0_5144,plain,
    ! [X54,X55] :
      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X54,tc_IntDef_Oint),X55,tc_IntDef_Oint),tc_IntDef_Oint)
      | X54 = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2942])])]) ).

fof(c_0_5145,plain,
    ! [X67,X68,X69] :
      ( X67 = c_List_Olist_ONil
      | c_List_Obutlast(c_List_Olist_OCons(X68,X67,X69),X69) = c_List_Olist_OCons(X68,c_List_Obutlast(X67,X69),X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2943])])]) ).

fof(c_0_5146,plain,
    ! [X67,X68,X69] :
      ( X68 = c_List_Olist_ONil
      | c_List_Otl(c_append(X68,X67,X69),X69) = c_append(c_List_Otl(X68,X69),X67,X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2944])])]) ).

fof(c_0_5147,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_uminus(X51,X53),c_uminus(X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2945]) ).

fof(c_0_5148,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
      | ~ c_less(X52,X51,X53)
      | c_less(c_uminus(X51,X53),c_uminus(X52,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2946]) ).

fof(c_0_5149,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_OrderedGroup_Onprt(X52,X53),c_OrderedGroup_Onprt(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2947]) ).

fof(c_0_5150,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X53)
      | ~ c_lessequals(X52,X51,X53)
      | c_lessequals(c_OrderedGroup_Opprt(X52,X53),c_OrderedGroup_Opprt(X51,X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_2948]) ).

fof(c_0_5151,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X62,X61),X63),X63)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X62,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_2949]) ).

fof(c_0_5152,plain,
    ! [X54,X55,X56] :
      ( c_Divides_Oop_Amod(X55,c_Nat_Osize(X54,tc_List_Olist(X56)),tc_nat) != c_0
      | c_List_Orotate(X55,X54,X56) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2950]) ).

fof(c_0_5153,plain,
    ! [X54,X55,X56] :
      ( ~ c_lessequals(c_Nat_Osize(X54,tc_List_Olist(X56)),X55,tc_nat)
      | c_List_Otake(X55,X54,X56) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2951]) ).

fof(c_0_5154,plain,
    ! [X67,X68,X69] :
      ( ~ c_lessequals(c_Nat_Osize(X67,tc_List_Olist(X69)),X68,tc_nat)
      | c_List_Odrop(X68,X67,X69) = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_2952]) ).

fof(c_0_5155,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_2953]) ).

fof(c_0_5156,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oordered__idom(X65)
      | ~ c_lessequals(X64,X63,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2954]) ).

fof(c_0_5157,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oordered__idom(X65)
      | ~ c_less(X64,X63,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X64,X65),c_IntDef_Oof__int(X63,X65),X65) ),
    inference(variable_rename,[status(thm)],[c_0_2955]) ).

fof(c_0_5158,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X57)
      | ~ c_lessequals(X56,X55,tc_nat)
      | c_lessequals(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57) ),
    inference(variable_rename,[status(thm)],[c_0_2956]) ).

fof(c_0_5159,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X57)
      | ~ c_less(X56,X55,tc_nat)
      | c_less(c_NatArith_Oof__nat(X56,X57),c_NatArith_Oof__nat(X55,X57),X57) ),
    inference(variable_rename,[status(thm)],[c_0_2957]) ).

fof(c_0_5160,plain,
    ! [X51,X52,X53,X54] :
      ( ~ c_Infinite__Set_Oatmost__one(X53,X54)
      | ~ c_in(X51,X53,X54)
      | ~ c_in(X52,X53,X54)
      | X51 = X52 ),
    inference(variable_rename,[status(thm)],[c_0_2958]) ).

fof(c_0_5161,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X52,c_Pow(X51,X53),tc_set(X53))
      | c_lessequals(X52,X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2959]) ).

fof(c_0_5162,plain,
    ! [X54,X55,X56] :
      ( ~ c_lessequals(c_Nat_Osize(X54,tc_List_Olist(X56)),c_1,tc_nat)
      | c_List_Orotate(X55,X54,X56) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_2960]) ).

fof(c_0_5163,plain,
    ! [X26] :
      ( ~ c_less(c_0,X26,tc_nat)
      | c_Suc(c_minus(X26,c_Suc(c_0),tc_nat)) = X26 ),
    inference(variable_rename,[status(thm)],[c_0_2961]) ).

fof(c_0_5164,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X27,X26,tc_nat),tc_nat)
      | c_Parity_Oeven(X27,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2962]) ).

fof(c_0_5165,plain,
    ! [X54,X55] :
      ( ~ c_Parity_Oeven(c_Nat_Opower(X54,X55,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X54,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2963])])]) ).

fof(c_0_5166,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52)
      | c_0 = c_Numeral_Onumber__of(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2964]) ).

fof(c_0_5167,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2965]) ).

fof(c_0_5168,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_2966]) ).

fof(c_0_5169,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X51,X52,tc_set(X53))
      | ~ c_lessequals(X52,X51,tc_set(X53))
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_2967]) ).

fof(c_0_5170,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Oparts(X31),tc_Message_Omsg)
      | c_in(X29,c_Message_Oparts(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2968]) ).

fof(c_0_5171,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Oparts(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Oparts(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2969]) ).

fof(c_0_5172,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Oanalz(X31),tc_Message_Omsg)
      | c_in(X29,c_Message_Oanalz(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2970]) ).

fof(c_0_5173,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Message_Oanalz(X31),tc_Message_Omsg)
      | c_in(X30,c_Message_Oanalz(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2971]) ).

fof(c_0_5174,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Event_Oused(X31),tc_Message_Omsg)
      | c_in(X29,c_Event_Oused(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2972]) ).

fof(c_0_5175,plain,
    ! [X29,X30,X31] :
      ( ~ c_in(c_Message_Omsg_OMPair(X30,X29),c_Event_Oused(X31),tc_Message_Omsg)
      | c_in(X30,c_Event_Oused(X31),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2973]) ).

fof(c_0_5176,plain,
    ! [X23,X24,X25] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X24,X23),c_Message_Oparts(X25),tc_Message_Omsg)
      | c_in(X23,c_Message_Oparts(X25),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_2974]) ).

fof(c_0_5177,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_HOL_Oinverse(X51,X52),c_0,X52)
      | c_less(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2975]) ).

fof(c_0_5178,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_0,c_HOL_Oinverse(X51,X52),X52)
      | c_lessequals(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2976]) ).

fof(c_0_5179,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_HOL_Oinverse(X51,X52),c_0,X52)
      | c_lessequals(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2977]) ).

fof(c_0_5180,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_0,c_HOL_Oinverse(X51,X52),X52)
      | c_less(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2978]) ).

fof(c_0_5181,plain,
    ! [X51,X52,X53] :
      ( ~ c_less(X52,X51,tc_set(X53))
      | ~ c_lessequals(X51,X52,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_2979]) ).

fof(c_0_5182,plain,
    ! [X51,X52] :
      ( ~ c_in(X51,c_Finite__Set_OFinites,tc_set(X52))
      | c_in(c_Pow(X51,X52),c_Finite__Set_OFinites,tc_set(tc_set(X52))) ),
    inference(variable_rename,[status(thm)],[c_0_2980]) ).

fof(c_0_5183,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X61,c_Numeral_Obit_OB0),X62),X62)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_2981]) ).

fof(c_0_5184,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_HOL_Oinverse(c_divide(X52,X51,X53),X53) = c_divide(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_2982]) ).

fof(c_0_5185,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | c_divide(X51,X53,X54) != c_divide(X51,X52,X54)
      | X53 = X52
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2983]) ).

fof(c_0_5186,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X54)
      | ~ class_Ring__and__Field_Ofield(X54)
      | c_divide(X53,X51,X54) != c_divide(X52,X51,X54)
      | X53 = X52
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2984]) ).

fof(c_0_5187,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_in(X54,c_SetInterval_OatLeast(X53,X55),X55)
      | c_lessequals(X53,X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2985]) ).

fof(c_0_5188,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_in(X54,c_SetInterval_OatMost(X53,X55),X55)
      | c_lessequals(X54,X53,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2986]) ).

fof(c_0_5189,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_in(X54,c_SetInterval_OgreaterThan(X53,X55),X55)
      | c_less(X53,X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2987]) ).

fof(c_0_5190,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_in(X54,c_SetInterval_OlessThan(X53,X55),X55)
      | c_less(X54,X53,X55) ),
    inference(variable_rename,[status(thm)],[c_0_2988]) ).

fof(c_0_5191,plain,
    ! [X54,X55] :
      ( ~ class_Numeral_Onumber__ring(X55)
      | ~ class_Power_Orecpower(X55)
      | ~ class_Ring__and__Field_Oordered__idom(X55)
      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X55),X54,X55),X55) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_2989]) ).

fof(c_0_5192,plain,
    ! [X62] :
      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X62,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X62,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2990]) ).

fof(c_0_5193,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52)
      | c_Numeral_Onumber__of(X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_2991]) ).

fof(c_0_5194,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_lessequals(c_0,c_uminus(X51,X52),X52)
      | c_lessequals(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2992]) ).

fof(c_0_5195,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_less(c_0,c_uminus(X51,X52),X52)
      | c_less(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2993]) ).

fof(c_0_5196,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_lessequals(c_uminus(X51,X52),c_0,X52)
      | c_lessequals(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2994]) ).

fof(c_0_5197,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_less(c_uminus(X51,X52),c_0,X52)
      | c_less(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_2995]) ).

fof(c_0_5198,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Oordered__idom(X64)
      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X63,X64),X64)
      | c_lessequals(c_0,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2996]) ).

fof(c_0_5199,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Oordered__idom(X64)
      | ~ c_less(c_0,c_IntDef_Oof__int(X63,X64),X64)
      | c_less(c_0,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2997]) ).

fof(c_0_5200,plain,
    ! [X61,X62] :
      ( ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_lessequals(c_IntDef_Oof__int(X61,X62),c_0,X62)
      | c_lessequals(X61,c_0,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2998]) ).

fof(c_0_5201,plain,
    ! [X61,X62] :
      ( ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_less(c_IntDef_Oof__int(X61,X62),c_0,X62)
      | c_less(X61,c_0,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_2999]) ).

fof(c_0_5202,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X55)
      | ~ c_less(c_0,c_NatArith_Oof__nat(X54,X55),X55)
      | c_less(c_0,X54,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3000]) ).

fof(c_0_5203,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | ~ c_in(X51,c_Finite__Set_OFinites,tc_set(X52))
      | c_in(c_Finite__Set_OMax(X51,X52),X51,X52)
      | X51 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3001]) ).

fof(c_0_5204,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | ~ c_in(X51,c_Finite__Set_OFinites,tc_set(X52))
      | c_in(c_Finite__Set_OMin(X51,X52),X51,X52)
      | X51 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3002]) ).

fof(c_0_5205,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X52,X51,tc_set(X53))
      | c_in(X52,c_Pow(X51,X53),tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_3003]) ).

fof(c_0_5206,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Oab__group__add(X53)
      | c_uminus(c_minus(X52,X51,X53),X53) = c_minus(X51,X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3004]) ).

fof(c_0_5207,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Ofield(X54)
      | c_times(X51,X53,X54) != c_times(X51,X52,X54)
      | X53 = X52
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3005]) ).

fof(c_0_5208,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_Ring__and__Field_Ofield(X54)
      | c_times(X53,X51,X54) != c_times(X52,X51,X54)
      | X53 = X52
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3006]) ).

fof(c_0_5209,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X54)
      | c_plus(X53,X52,X54) != c_plus(X53,X51,X54)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3007]) ).

fof(c_0_5210,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X54)
      | c_plus(X52,X53,X54) != c_plus(X51,X53,X54)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3008]) ).

fof(c_0_5211,plain,
    ! [X77,X78,X79] :
      ( ~ c_in(X78,c_List_Oset(X77,tc_List_Olist(X79)),tc_List_Olist(X79))
      | c_List_Olist_ONil != c_List_Oconcat(X77,X79)
      | X78 = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3009]) ).

fof(c_0_5212,plain,
    ! [X77,X78,X79] :
      ( ~ c_in(X78,c_List_Oset(X77,tc_List_Olist(X79)),tc_List_Olist(X79))
      | c_List_Oconcat(X77,X79) != c_List_Olist_ONil
      | X78 = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3010]) ).

fof(c_0_5213,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X51 = c_0
      | c_divide(c_times(X51,X52,X53),X51,X53) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_3011]) ).

fof(c_0_5214,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X51 = c_0
      | c_divide(c_times(X52,X51,X53),X51,X53) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_3012]) ).

fof(c_0_5215,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X52 = c_0
      | c_times(c_divide(X51,X52,X53),X52,X53) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3013]) ).

fof(c_0_5216,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | X52 = c_0
      | c_times(X52,c_divide(X51,X52,X53),X53) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3014]) ).

fof(c_0_5217,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | c_minus(c_1,c_Numeral_Onumber__of(X61,X62),X62) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X61)),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3015]) ).

fof(c_0_5218,plain,
    ! [X67,X68,X69] :
      ( c_List_Odrop(X68,X67,X69) != c_List_Olist_ONil
      | c_lessequals(c_Nat_Osize(X67,tc_List_Olist(X69)),X68,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3016]) ).

fof(c_0_5219,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(X51,c_0,X52)
      | c_less(c_HOL_Oinverse(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3017]) ).

fof(c_0_5220,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_lessequals(c_0,c_HOL_Oinverse(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3018]) ).

fof(c_0_5221,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_lessequals(c_HOL_Oinverse(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3019]) ).

fof(c_0_5222,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | ~ c_less(c_0,X51,X52)
      | c_less(c_0,c_HOL_Oinverse(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3020]) ).

fof(c_0_5223,plain,
    ! [X13,X14] :
      ( ~ c_in(X14,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Event_Oknows(c_Message_Oagent_OSpy,X13),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3021]) ).

fof(c_0_5224,plain,
    ! [X54,X55,X56] :
      ( X55 = c_0
      | c_List_Oset(c_List_Oreplicate(X55,X54,X56),X56) = c_insert(X54,c_emptyset,X56) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3022])])]) ).

fof(c_0_5225,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(c_uminus(X52,X53),c_uminus(X51,X53),X53) = c_divide(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3023]) ).

fof(c_0_5226,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_lessequals(X53,X54,X55)
      | c_in(X54,c_SetInterval_OatLeast(X53,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3024]) ).

fof(c_0_5227,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_lessequals(X54,X53,X55)
      | c_in(X54,c_SetInterval_OatMost(X53,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3025]) ).

fof(c_0_5228,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_less(X53,X54,X55)
      | c_in(X54,c_SetInterval_OgreaterThan(X53,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3026]) ).

fof(c_0_5229,plain,
    ! [X53,X54,X55] :
      ( ~ class_Orderings_Oord(X55)
      | ~ c_less(X54,X53,X55)
      | c_in(X54,c_SetInterval_OlessThan(X53,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3027]) ).

fof(c_0_5230,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(c_Message_Oanalz(X31),c_Message_Oanalz(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(X31,c_Message_Oanalz(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3028]) ).

fof(c_0_5231,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(c_Message_Oparts(X31),c_Message_Oparts(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(X31,c_Message_Oparts(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3029]) ).

fof(c_0_5232,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(c_Message_Osynth(X31),c_Message_Osynth(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(X31,c_Message_Osynth(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3030]) ).

fof(c_0_5233,plain,
    ! [X56,X57] :
      ( ~ c_less(X57,X56,tc_nat)
      | c_List_Olast(c_List_Oupt(X57,X56),tc_nat) = c_minus(X56,c_1,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3031]) ).

fof(c_0_5234,plain,
    ! [X52,X53,X54,X55] :
      ( c_Datatype__Universe_OLeaf(X53,X55,X54) != c_Datatype__Universe_OLeaf(X52,X55,X54)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3032])])]) ).

fof(c_0_5235,plain,
    ! [X52,X53,X54,X55] :
      ( c_Datatype__Universe_ONumb(X53,X55,X54) != c_Datatype__Universe_ONumb(X52,X55,X54)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3033])])]) ).

fof(c_0_5236,plain,
    ! [X52,X53,X54,X55] :
      ( c_Datatype__Universe_OAtom(X53,X55,X54) != c_Datatype__Universe_OAtom(X52,X55,X54)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3034])])]) ).

fof(c_0_5237,plain,
    ! [X86,X87,X88,X89] :
      ( c_Datatype__Universe_OIn0(X87,X89,X88) != c_Datatype__Universe_OIn0(X86,X89,X88)
      | X87 = X86 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3035])])]) ).

fof(c_0_5238,plain,
    ! [X86,X87,X88,X89] :
      ( c_Datatype__Universe_OIn1(X87,X89,X88) != c_Datatype__Universe_OIn1(X86,X89,X88)
      | X87 = X86 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3036])])]) ).

fof(c_0_5239,plain,
    ! [X70,X71,X72,X73] :
      ( c_append(X71,X72,X73) != c_append(X70,X72,X73)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3037])])]) ).

fof(c_0_5240,plain,
    ! [X75,X76,X77,X78,X79] :
      ( c_List_Olist_OCons(X78,X76,X79) != c_List_Olist_OCons(X77,X75,X79)
      | X78 = X77 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3038])])]) ).

fof(c_0_5241,plain,
    ! [X75,X76,X77,X78,X79] :
      ( c_List_Olist_OCons(X78,X76,X79) != c_List_Olist_OCons(X77,X75,X79)
      | X76 = X75 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3039])])]) ).

fof(c_0_5242,plain,
    ! [X70,X71,X72,X73] :
      ( c_append(X72,X71,X73) != c_append(X72,X70,X73)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3040])])]) ).

fof(c_0_5243,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3041]) ).

fof(c_0_5244,plain,
    ! [X52,X53,X54,X55] :
      ( c_Sum__Type_OInl(X53,X55,X54) != c_Sum__Type_OInl(X52,X55,X54)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3042])])]) ).

fof(c_0_5245,plain,
    ! [X52,X53,X54,X55] :
      ( c_Sum__Type_OInr(X53,X54,X55) != c_Sum__Type_OInr(X52,X54,X55)
      | X53 = X52 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3043])])]) ).

fof(c_0_5246,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Event_Oevent_OSays(X46,X44,X42) != c_Event_Oevent_OSays(X45,X43,X41)
      | X46 = X45 ),
    inference(variable_rename,[status(thm)],[c_0_3044]) ).

fof(c_0_5247,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Event_Oevent_OSays(X46,X44,X42) != c_Event_Oevent_OSays(X45,X43,X41)
      | X44 = X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3045])])]) ).

fof(c_0_5248,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Event_Oevent_OSays(X46,X44,X42) != c_Event_Oevent_OSays(X45,X43,X41)
      | X42 = X41 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3046])])]) ).

fof(c_0_5249,plain,
    ! [X63,X64] :
      ( ~ c_Divides_Oop_Advd(X63,c_uminus(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X63,X64,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3047]) ).

fof(c_0_5250,plain,
    ! [X63,X64] :
      ( ~ c_Divides_Oop_Advd(c_uminus(X63,tc_IntDef_Oint),X64,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X63,X64,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3048]) ).

fof(c_0_5251,plain,
    ! [X64,X65] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X65,X64),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3049]) ).

fof(c_0_5252,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Oanalz(c_Message_Oanalz(X24)),tc_Message_Omsg)
      | c_in(X23,c_Message_Oanalz(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3050]) ).

fof(c_0_5253,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Oparts(c_Message_Oparts(X24)),tc_Message_Omsg)
      | c_in(X23,c_Message_Oparts(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3051]) ).

fof(c_0_5254,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Osynth(c_Message_Osynth(X24)),tc_Message_Omsg)
      | c_in(X23,c_Message_Osynth(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3052]) ).

fof(c_0_5255,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_0,c_times(c_0,X51,X52),X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3053]) ).

fof(c_0_5256,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_times(c_0,X51,X52),c_0,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3054]) ).

fof(c_0_5257,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_0,c_times(X51,c_0,X52),X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3055]) ).

fof(c_0_5258,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_times(X51,c_0,X52),c_0,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3056]) ).

fof(c_0_5259,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_times(c_divide(X51,c_0,X52),c_0,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3057]) ).

fof(c_0_5260,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_times(c_0,c_divide(X51,c_0,X52),X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3058]) ).

fof(c_0_5261,plain,
    ! [X51,X52,X53,X54] :
      ( c_insert(X51,c_emptyset,X54) != c_insert(X52,X53,X54)
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3059])])]) ).

fof(c_0_5262,plain,
    ! [X51,X52,X53,X54] :
      ( c_insert(X52,X53,X54) != c_insert(X51,c_emptyset,X54)
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3060])])]) ).

fof(c_0_5263,plain,
    ! [X33,X34] :
      ( ~ c_in(c_Message_Omsg_OKey(X33),X34,tc_Message_Omsg)
      | c_in(c_Message_OinvKey(X33),c_Message_OkeysFor(c_Message_Osynth(X34)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3061]) ).

fof(c_0_5264,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(X31,c_Message_Oanalz(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oanalz(X31),c_Message_Oanalz(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3062]) ).

fof(c_0_5265,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(X31,c_Message_Oparts(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X31),c_Message_Oparts(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3063]) ).

fof(c_0_5266,plain,
    ! [X30,X31] :
      ( ~ c_lessequals(X31,c_Message_Osynth(X30),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Osynth(X31),c_Message_Osynth(X30),tc_set(tc_Message_Omsg)) ),
    inference(variable_rename,[status(thm)],[c_0_3064]) ).

fof(c_0_5267,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X52)
      | ~ c_in(X51,c_IntDef_OInts,X52)
      | c_in(c_uminus(X51,X52),c_IntDef_OInts,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3065]) ).

fof(c_0_5268,plain,
    ! [X55,X56,X57] :
      ( c_times(X57,X56,tc_nat) != c_times(X57,X55,tc_nat)
      | X56 = X55
      | X57 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3066]) ).

fof(c_0_5269,plain,
    ! [X55,X56,X57] :
      ( c_times(X56,X57,tc_nat) != c_times(X55,X57,tc_nat)
      | X56 = X55
      | X57 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3067]) ).

fof(c_0_5270,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_lessequals(c_0,c_uminus(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3068]) ).

fof(c_0_5271,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_less(X51,c_0,X52)
      | c_less(c_0,c_uminus(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3069]) ).

fof(c_0_5272,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_lessequals(c_uminus(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3070]) ).

fof(c_0_5273,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X52)
      | ~ c_less(c_0,X51,X52)
      | c_less(c_uminus(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3071]) ).

fof(c_0_5274,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,X63),X63)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X62,X61),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_3072]) ).

fof(c_0_5275,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X56)
      | ~ c_Parity_Oeven(X55,tc_nat)
      | c_Nat_Opower(c_uminus(X54,X56),X55,X56) = c_Nat_Opower(X54,X55,X56) ),
    inference(variable_rename,[status(thm)],[c_0_3073]) ).

fof(c_0_5276,plain,
    ! [X51,X52,X53] :
      ( c_insert(X52,c_emptyset,X53) != c_insert(X51,c_emptyset,X53)
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3074])])]) ).

fof(c_0_5277,plain,
    ! [X55,X56,X57] :
      ( c_plus(X57,X56,tc_nat) != c_plus(X57,X55,tc_nat)
      | X56 = X55 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3075])])]) ).

fof(c_0_5278,plain,
    ! [X55,X56,X57] :
      ( c_plus(X56,X57,tc_nat) != c_plus(X55,X57,tc_nat)
      | X56 = X55 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3076])])]) ).

fof(c_0_5279,plain,
    ! [X51,X52,X53] :
      ( ~ class_Numeral_Onumber__ring(X53)
      | c_Numeral_Onumber__of(X52,X53) != c_Numeral_Onumber__of(X51,X53)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X52,c_Numeral_Obin__minus(X51)),X53),X53) ),
    inference(variable_rename,[status(thm)],[c_0_3077]) ).

fof(c_0_5280,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oring(X53)
      | c_times(c_uminus(X52,X53),c_uminus(X51,X53),X53) = c_times(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3078]) ).

fof(c_0_5281,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Oordered__idom(X64)
      | ~ c_lessequals(c_0,X63,tc_IntDef_Oint)
      | c_lessequals(c_0,c_IntDef_Oof__int(X63,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3079]) ).

fof(c_0_5282,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Oordered__idom(X64)
      | ~ c_less(c_0,X63,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Oof__int(X63,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3080]) ).

fof(c_0_5283,plain,
    ! [X61,X62] :
      ( ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_lessequals(X61,c_0,tc_IntDef_Oint)
      | c_lessequals(c_IntDef_Oof__int(X61,X62),c_0,X62) ),
    inference(variable_rename,[status(thm)],[c_0_3081]) ).

fof(c_0_5284,plain,
    ! [X61,X62] :
      ( ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_less(X61,c_0,tc_IntDef_Oint)
      | c_less(c_IntDef_Oof__int(X61,X62),c_0,X62) ),
    inference(variable_rename,[status(thm)],[c_0_3082]) ).

fof(c_0_5285,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X55)
      | ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_NatArith_Oof__nat(X54,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3083]) ).

fof(c_0_5286,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_plus(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3084]) ).

fof(c_0_5287,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) != c_Numeral_Onumber__of(X64,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3085]) ).

fof(c_0_5288,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) != c_Numeral_Onumber__of(X64,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3086])])]) ).

fof(c_0_5289,plain,
    ! [X26] :
      ( ~ c_in(X26,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X26)) = X26 ),
    inference(variable_rename,[status(thm)],[c_0_3087]) ).

fof(c_0_5290,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | c_plus(c_1,c_Numeral_Onumber__of(X61,X62),X62) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X61),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3088]) ).

fof(c_0_5291,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | c_plus(c_Numeral_Onumber__of(X62,X63),c_1,X63) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X62,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X63) ),
    inference(variable_rename,[status(thm)],[c_0_3089]) ).

fof(c_0_5292,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber__ring(X64)
      | c_minus(c_Numeral_Onumber__of(X63,X64),c_Numeral_Onumber__of(X62,X64),X64) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X63,c_Numeral_Obin__minus(X62)),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3090]) ).

fof(c_0_5293,plain,
    ! [X62] :
      ( ~ c_less(c_0,c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X62),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3091]) ).

fof(c_0_5294,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_OkeysFor(X24),tc_nat)
      | c_in(X23,c_Message_OkeysFor(c_Message_Osynth(X24)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3092]) ).

fof(c_0_5295,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X61,X62),X62)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X61,c_Numeral_Obit_OB0),X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3093]) ).

fof(c_0_5296,plain,
    ! [X100,X101] :
      ( c_Divides_Oop_Amod(X100,X101,tc_nat) != c_0
      | X100 = c_times(X101,c_Main_Omod__eq__0D__dest__1(X101,X100),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3094]) ).

fof(c_0_5297,plain,
    ! [X100,X101] :
      ( c_Divides_Oop_Amod(X100,X101,tc_IntDef_Oint) != c_0
      | X100 = c_times(X101,c_Main_Ozmod__eq__0D__dest__1(X101,X100),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3095]) ).

fof(c_0_5298,plain,
    ! [X23,X24] :
      ( ~ c_in(c_Message_Omsg_OKey(X23),c_Message_Osynth(X24),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X23),X24,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3096]) ).

fof(c_0_5299,plain,
    ! [X31,X32] :
      ( ~ c_in(c_Message_Omsg_ONonce(X31),c_Message_Osynth(X32),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X31),X32,tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3097]) ).

fof(c_0_5300,plain,
    ! [X63,X64] :
      ( ~ c_Divides_Oop_Advd(X63,X64,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(X63,c_uminus(X64,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3098]) ).

fof(c_0_5301,plain,
    ! [X63,X64] :
      ( ~ c_Divides_Oop_Advd(X63,X64,tc_IntDef_Oint)
      | c_Divides_Oop_Advd(c_uminus(X63,tc_IntDef_Oint),X64,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3099]) ).

fof(c_0_5302,plain,
    ! [X67,X68,X69] :
      ( c_List_Orev(X67,X69) != c_List_Olist_OCons(X68,c_List_Olist_ONil,X69)
      | X67 = c_List_Olist_OCons(X68,c_List_Olist_ONil,X69) ),
    inference(variable_rename,[status(thm)],[c_0_3100]) ).

fof(c_0_5303,plain,
    ! [X67,X68,X69] :
      ( c_List_Olist_OCons(X68,c_List_Olist_ONil,X69) != c_List_Orev(X67,X69)
      | X67 = c_List_Olist_OCons(X68,c_List_Olist_ONil,X69) ),
    inference(variable_rename,[status(thm)],[c_0_3101]) ).

fof(c_0_5304,plain,
    ! [X28,X29] :
      ( X29 = c_0
      | c_div(c_times(X28,X29,tc_IntDef_Oint),X29,tc_IntDef_Oint) = X28 ),
    inference(variable_rename,[status(thm)],[c_0_3102]) ).

fof(c_0_5305,plain,
    ! [X28,X29] :
      ( X29 = c_0
      | c_div(c_times(X29,X28,tc_IntDef_Oint),X29,tc_IntDef_Oint) = X28 ),
    inference(variable_rename,[status(thm)],[c_0_3103]) ).

fof(c_0_5306,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X52,X51,tc_set(X53))
      | c_less(X52,X51,tc_set(X53))
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3104]) ).

fof(c_0_5307,plain,
    ! [X23,X24] :
      ( ~ c_in(c_Message_Omsg_OKey(X23),X24,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X23),c_Message_Osynth(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3105]) ).

fof(c_0_5308,plain,
    ! [X31,X32] :
      ( ~ c_in(c_Message_Omsg_ONonce(X31),X32,tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X31),c_Message_Osynth(X32),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3106]) ).

fof(c_0_5309,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Osynth(X24),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OHash(X23),c_Message_Osynth(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3107]) ).

fof(c_0_5310,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X27,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3108])])]) ).

fof(c_0_5311,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_nat)
      | ~ c_Parity_Oeven(X27,tc_nat)
      | c_Parity_Oeven(c_plus(X27,X26,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3109])])]) ).

fof(c_0_5312,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_IntDef_Oint)
      | ~ c_Parity_Oeven(X27,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3110])])]) ).

fof(c_0_5313,plain,
    ! [X54,X55] :
      ( c_less(c_0,c_Nat_Opower(X54,X55,tc_nat),tc_nat)
      | X54 = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3111])])]) ).

fof(c_0_5314,plain,
    ! [X51,X52,X53] :
      ( ~ c_less(X52,X51,tc_set(X53))
      | c_lessequals(X52,X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_3112]) ).

fof(c_0_5315,plain,
    ! [X51,X52,X53] :
      ( c_minus(X52,X51,tc_set(X53)) != c_emptyset
      | c_lessequals(X52,X51,tc_set(X53)) ),
    inference(variable_rename,[status(thm)],[c_0_3113]) ).

fof(c_0_5316,plain,
    ! [X51,X52,X53] :
      ( ~ c_lessequals(X52,X51,tc_set(X53))
      | c_minus(X52,X51,tc_set(X53)) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3114]) ).

fof(c_0_5317,plain,
    ! [X51,X52] :
      ( ~ c_lessequals(c_Nat_Osize(X51,tc_List_Olist(X52)),c_1,tc_nat)
      | c_List_Orotate1(X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3115]) ).

fof(c_0_5318,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(c_IntDef_Oint(X56),c_IntDef_Oint(X55),tc_IntDef_Oint)
      | c_lessequals(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3116]) ).

fof(c_0_5319,plain,
    ! [X55,X56] :
      ( ~ c_less(c_IntDef_Oint(X56),c_IntDef_Oint(X55),tc_IntDef_Oint)
      | c_less(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3117]) ).

fof(c_0_5320,plain,
    ! [X63,X64] :
      ( ~ c_less(c_IntDef_Onat(X64),c_IntDef_Onat(X63),tc_nat)
      | c_less(X64,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3118]) ).

fof(c_0_5321,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(c_Suc(X55),c_Suc(X56),tc_nat)
      | c_lessequals(X55,X56,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3119]) ).

fof(c_0_5322,plain,
    ! [X55,X56] :
      ( ~ c_less(c_Suc(X56),c_Suc(X55),tc_nat)
      | c_less(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3120]) ).

fof(c_0_5323,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_div(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3121]) ).

fof(c_0_5324,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3122]) ).

fof(c_0_5325,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_times(c_Numeral_Onumber__of(X65,tc_nat),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3123]) ).

fof(c_0_5326,plain,
    ! [X63,X64] :
      ( ~ c_less(c_IntDef_Onat(X64),c_IntDef_Onat(X63),tc_nat)
      | c_less(c_0,X63,tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3124])])]) ).

fof(c_0_5327,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber__ring(X64)
      | c_plus(c_Numeral_Onumber__of(X63,X64),c_Numeral_Onumber__of(X62,X64),X64) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X63,X62),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3125]) ).

fof(c_0_5328,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber__ring(X64)
      | c_times(c_Numeral_Onumber__of(X63,X64),c_Numeral_Onumber__of(X62,X64),X64) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X63,X62),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3126]) ).

fof(c_0_5329,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,c_Message_Oanalz(X24),tc_Message_Omsg)
      | c_in(X23,c_Message_Oparts(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3127]) ).

fof(c_0_5330,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Oordered__idom(X56)
      | c_Nat_Opower(X55,X54,X56) != c_0
      | c_less(c_0,X54,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3128]) ).

fof(c_0_5331,plain,
    ! [X62] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X62),tc_IntDef_Oint),tc_IntDef_Oint)
      | c_less(c_0,c_Numeral_Onumber__of(X62,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3129]) ).

fof(c_0_5332,plain,
    ! [X63] :
      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X63),tc_nat)
      | c_less(c_1,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3130]) ).

fof(c_0_5333,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | ~ class_Ring__and__Field_Oordered__idom(X62)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X61,c_Numeral_Obit_OB1),X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3131]) ).

fof(c_0_5334,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(X56,X55,tc_nat)
      | c_lessequals(c_IntDef_Oint(X56),c_IntDef_Oint(X55),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3132]) ).

fof(c_0_5335,plain,
    ! [X55,X56] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_less(c_IntDef_Oint(X56),c_IntDef_Oint(X55),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3133]) ).

fof(c_0_5336,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(X55,X56,tc_nat)
      | c_lessequals(c_Suc(X55),c_Suc(X56),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3134]) ).

fof(c_0_5337,plain,
    ! [X55,X56] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_less(c_Suc(X56),c_Suc(X55),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3135]) ).

fof(c_0_5338,plain,
    ! [X54,X55] :
      ( ~ class_Power_Orecpower(X55)
      | ~ class_Ring__and__Field_Oordered__idom(X55)
      | ~ c_less(c_0,X54,tc_nat)
      | c_Nat_Opower(c_0,X54,X55) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3136]) ).

fof(c_0_5339,plain,
    ! [X55,X56,X57] :
      ( ~ class_Orderings_Oorder(X57)
      | ~ c_less(X55,X56,X57)
      | c_SetInterval_OatLeastAtMost(X56,X55,X57) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3137]) ).

fof(c_0_5340,plain,
    ! [X55,X56,X57] :
      ( ~ class_Orderings_Oorder(X57)
      | ~ c_lessequals(X55,X56,X57)
      | c_SetInterval_OatLeastLessThan(X56,X55,X57) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3138]) ).

fof(c_0_5341,plain,
    ! [X58,X59,X60] :
      ( ~ class_Orderings_Oorder(X60)
      | ~ c_lessequals(X58,X59,X60)
      | c_SetInterval_OgreaterThanAtMost(X59,X58,X60) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3139]) ).

fof(c_0_5342,plain,
    ! [X51,X52,X53] :
      ( c_in(X51,X52,X53)
      | c_in(X51,c_uminus(X52,tc_set(X53)),X53) ),
    inference(variable_rename,[status(thm)],[c_0_3140]) ).

fof(c_0_5343,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_less(c_Numeral_Onumber__of(X51,X52),c_0,X52)
      | c_HOL_Oabs(c_Numeral_Onumber__of(X51,X52),X52) = c_Numeral_Onumber__of(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3141]) ).

fof(c_0_5344,plain,
    ! [X63] :
      ( ~ c_less(c_1,X63,tc_IntDef_Oint)
      | c_less(c_Suc(c_0),c_IntDef_Onat(X63),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3142]) ).

fof(c_0_5345,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Odistinct(c_List_Odrop(X68,X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_3143]) ).

fof(c_0_5346,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Odistinct(c_List_Oremove1(X68,X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_3144]) ).

fof(c_0_5347,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Odistinct(c_List_Orotate(X68,X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_3145]) ).

fof(c_0_5348,plain,
    ! [X71,X72,X73] :
      ( ~ c_List_Odistinct(X71,X73)
      | c_List_Odistinct(c_List_Osublist(X71,X72,X73),X73) ),
    inference(variable_rename,[status(thm)],[c_0_3146]) ).

fof(c_0_5349,plain,
    ! [X67,X68,X69] :
      ( ~ c_List_Odistinct(X67,X69)
      | c_List_Odistinct(c_List_Otake(X68,X67,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_3147]) ).

fof(c_0_5350,plain,
    ! [X51,X52] :
      ( ~ c_Wellfounded__Recursion_Oacyclic(X51,X52)
      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X51,X52,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3148]) ).

fof(c_0_5351,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,X24,tc_Message_Omsg)
      | c_in(X23,c_Message_Oparts(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3149]) ).

fof(c_0_5352,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,X24,tc_Message_Omsg)
      | c_in(X23,c_Message_Oanalz(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3150]) ).

fof(c_0_5353,plain,
    ! [X23,X24] :
      ( ~ c_in(X23,X24,tc_Message_Omsg)
      | c_in(X23,c_Message_Osynth(X24),tc_Message_Omsg) ),
    inference(variable_rename,[status(thm)],[c_0_3151]) ).

fof(c_0_5354,plain,
    ! [X54] :
      ( ~ c_less(c_0,c_IntDef_Oint(X54),tc_IntDef_Oint)
      | c_less(c_0,X54,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3152]) ).

fof(c_0_5355,plain,
    ! [X63] :
      ( ~ c_less(c_0,c_IntDef_Onat(X63),tc_nat)
      | c_less(c_0,X63,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3153]) ).

fof(c_0_5356,plain,
    ! [X9] :
      ( ~ c_in(c_Message_OinvKey(X9),c_Message_OsymKeys,tc_nat)
      | c_in(X9,c_Message_OsymKeys,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3154]) ).

fof(c_0_5357,plain,
    ! [X26,X27] :
      ( c_Parity_Oeven(X26,tc_IntDef_Oint)
      | c_Parity_Oeven(X27,tc_IntDef_Oint)
      | c_Parity_Oeven(c_minus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3155])])]) ).

fof(c_0_5358,plain,
    ! [X26,X27] :
      ( c_Parity_Oeven(X26,tc_nat)
      | c_Parity_Oeven(X27,tc_nat)
      | c_Parity_Oeven(c_plus(X27,X26,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3156])])]) ).

fof(c_0_5359,plain,
    ! [X26,X27] :
      ( c_Parity_Oeven(X26,tc_IntDef_Oint)
      | c_Parity_Oeven(X27,tc_IntDef_Oint)
      | c_Parity_Oeven(c_plus(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3157])])]) ).

fof(c_0_5360,plain,
    ! [X87,X88,X89] :
      ( ~ c_in(X88,c_Datatype_Oo2s(X87,X89),X89)
      | X87 = c_Datatype_Ooption_OSome(X88,X89) ),
    inference(variable_rename,[status(thm)],[c_0_3158]) ).

fof(c_0_5361,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Oab__group__add(X53)
      | c_minus(X52,c_uminus(X51,X53),X53) = c_plus(X52,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3159]) ).

fof(c_0_5362,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | c_0 != c_Numeral_Onumber__of(X51,X52)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X51)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3160]) ).

fof(c_0_5363,plain,
    ! [X77,X78] :
      ( c_in(c_Main_ONil__eq__concat__conv__1(X77,X78),c_List_Oset(X77,tc_List_Olist(X78)),tc_List_Olist(X78))
      | c_List_Olist_ONil = c_List_Oconcat(X77,X78) ),
    inference(variable_rename,[status(thm)],[c_0_3161]) ).

fof(c_0_5364,plain,
    ! [X77,X78] :
      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X77,X78),c_List_Oset(X77,tc_List_Olist(X78)),tc_List_Olist(X78))
      | c_List_Oconcat(X77,X78) = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3162]) ).

fof(c_0_5365,plain,
    ! [X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | c_less(c_0,c_IntDef_Oint(X54),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3163]) ).

fof(c_0_5366,plain,
    ! [X63] :
      ( ~ c_less(c_0,X63,tc_IntDef_Oint)
      | c_less(c_0,c_IntDef_Onat(X63),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3164]) ).

fof(c_0_5367,plain,
    ! [X9] :
      ( ~ c_in(X9,c_Message_OsymKeys,tc_nat)
      | c_in(c_Message_OinvKey(X9),c_Message_OsymKeys,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3165]) ).

fof(c_0_5368,plain,
    ! [X61,X62,X63] :
      ( ~ class_Power_Orecpower(X63)
      | ~ class_Ring__and__Field_Oordered__idom(X63)
      | c_Nat_Opower(X62,c_Numeral_Onumber__of(X61,tc_nat),X63) != c_0
      | X62 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3166]) ).

fof(c_0_5369,plain,
    ! [X54,X55] :
      ( ~ c_less(X54,X55,tc_nat)
      | c_Divides_Oop_Amod(X54,X55,tc_nat) = X54 ),
    inference(variable_rename,[status(thm)],[c_0_3167]) ).

fof(c_0_5370,plain,
    ! [X64] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X64,tc_nat),tc_nat) = c_Suc(c_0) ),
    inference(variable_rename,[status(thm)],[c_0_3168]) ).

fof(c_0_5371,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3169]) ).

fof(c_0_5372,plain,
    ! [X64,X65] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X64,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X65,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X65,tc_nat) = c_Numeral_Onumber__of(X64,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3170])])]) ).

fof(c_0_5373,plain,
    ! [X62] :
      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X62,tc_nat)),tc_IntDef_Oint)
      | c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3171]) ).

fof(c_0_5374,plain,
    ! [X55,X56] :
      ( ~ c_less(X56,X55,tc_nat)
      | c_div(X56,X55,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3172]) ).

fof(c_0_5375,plain,
    ! [X55,X56] :
      ( c_minus(X56,X55,tc_nat) != c_0
      | c_lessequals(X56,X55,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3173]) ).

fof(c_0_5376,plain,
    ! [X55,X56] :
      ( ~ c_lessequals(X56,X55,tc_nat)
      | c_minus(X56,X55,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3174]) ).

fof(c_0_5377,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_nat)
      | c_Parity_Oeven(c_times(X27,X26,tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3175]) ).

fof(c_0_5378,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_nat)
      | c_Parity_Oeven(c_times(X27,X26,tc_nat),tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3176])])]) ).

fof(c_0_5379,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X27,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3177]) ).

fof(c_0_5380,plain,
    ! [X26,X27] :
      ( ~ c_Parity_Oeven(X26,tc_IntDef_Oint)
      | c_Parity_Oeven(c_times(X27,X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3178])])]) ).

fof(c_0_5381,plain,
    ! [X67,X68,X69] :
      ( X68 = c_List_Olist_ONil
      | c_List_Ohd(c_append(X68,X67,X69),X69) = c_List_Ohd(X68,X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3179])])]) ).

fof(c_0_5382,plain,
    ! [X67,X68,X69] :
      ( X67 = c_List_Olist_ONil
      | c_List_Olast(c_List_Olist_OCons(X68,X67,X69),X69) = c_List_Olast(X67,X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3180])])]) ).

fof(c_0_5383,plain,
    ! [X67,X68,X69] :
      ( X67 = c_List_Olist_ONil
      | c_List_Olast(c_append(X68,X67,X69),X69) = c_List_Olast(X67,X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3181])])]) ).

fof(c_0_5384,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | c_LOrder_Ojoin(X51,c_uminus(X51,X52),X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3182]) ).

fof(c_0_5385,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | c_LOrder_Omeet(X51,c_uminus(X51,X52),X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3183]) ).

fof(c_0_5386,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_plus(c_1,c_1,X51) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3184]) ).

fof(c_0_5387,plain,
    ! [X54] :
      ( ~ c_less(c_0,X54,tc_nat)
      | c_div(X54,X54,tc_nat) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3185]) ).

fof(c_0_5388,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | c_Numeral_Onumber__of(X51,X52) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X51,c_Numeral_Obin__minus(c_Numeral_OPls)),X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3186]) ).

fof(c_0_5389,plain,
    ! [X55,X56] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X56)
      | ~ c_lessequals(c_NatArith_Oof__nat(X55,X56),c_0,X56)
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3187]) ).

fof(c_0_5390,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber(X62)
      | ~ class_Ring__and__Field_Ofield(X62)
      | c_HOL_Oinverse(c_Numeral_Onumber__of(X61,X62),X62) = c_divide(c_1,c_Numeral_Onumber__of(X61,X62),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3188]) ).

fof(c_0_5391,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | ~ c_lessequals(c_HOL_Oabs(X51,X52),c_0,X52)
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3189]) ).

fof(c_0_5392,plain,
    ! [X55,X56] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X56)
      | ~ c_less(c_NatArith_Oof__nat(X55,X56),c_0,X56) ),
    inference(variable_rename,[status(thm)],[c_0_3190]) ).

fof(c_0_5393,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | ~ c_less(c_HOL_Oabs(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3191]) ).

fof(c_0_5394,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X51)
      | ~ c_less(c_0,c_HOL_Oabs(c_0,X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3192]) ).

fof(c_0_5395,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_Finite__Set_OMax(c_insert(X51,c_emptyset,X52),X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3193]) ).

fof(c_0_5396,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_Finite__Set_OMin(c_insert(X51,c_emptyset,X52),X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3194]) ).

fof(c_0_5397,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | c_Numeral_Onumber__of(X61,X63) != c_0
      | c_divide(X62,c_Numeral_Onumber__of(X61,X63),X63) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3195]) ).

fof(c_0_5398,plain,
    ! [X61,X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_Ring__and__Field_Odivision__by__zero(X63)
      | ~ class_Ring__and__Field_Ofield(X63)
      | c_Numeral_Onumber__of(X61,X63) != c_0
      | c_0 = c_divide(X62,c_Numeral_Onumber__of(X61,X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_3196]) ).

fof(c_0_5399,plain,
    ! [X54,X55,X56] :
      ( X55 = c_0
      | c_List_Ohd(c_List_Oreplicate(X55,X54,X56),X56) = X54 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3197])])]) ).

fof(c_0_5400,plain,
    ! [X56,X57] :
      ( ~ c_less(X56,X57,tc_nat)
      | c_List_Ohd(c_List_Oupt(X56,X57),tc_nat) = X56 ),
    inference(variable_rename,[status(thm)],[c_0_3198]) ).

fof(c_0_5401,plain,
    ! [X54,X55,X56] :
      ( X55 = c_0
      | c_List_Olast(c_List_Oreplicate(X55,X54,X56),X56) = X54 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3199])])]) ).

fof(c_0_5402,plain,
    ! [X62] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X62,tc_nat),tc_nat)
      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X62,tc_nat)),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3200]) ).

fof(c_0_5403,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_OrderedGroup_Oab__group__add(X63)
      | c_Numeral_Onumber__of(X62,X63) = c_uminus(c_uminus(c_Numeral_Onumber__of(X62,X63),X63),X63) ),
    inference(variable_rename,[status(thm)],[c_0_3201]) ).

fof(c_0_5404,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber(X63)
      | ~ class_OrderedGroup_Oab__group__add(X63)
      | c_uminus(c_uminus(c_Numeral_Onumber__of(X62,X63),X63),X63) = c_Numeral_Onumber__of(X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_3202]) ).

fof(c_0_5405,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(c_0,X52,X53) = c_divide(c_0,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3203]) ).

fof(c_0_5406,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(X52,c_0,X53) = c_divide(X51,c_0,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3204]) ).

fof(c_0_5407,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,tc_set(X53))
      | c_Inter(X52,X53) != c_UNIV
      | X51 = c_UNIV ),
    inference(variable_rename,[status(thm)],[c_0_3205]) ).

fof(c_0_5408,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,tc_set(X53))
      | c_UNIV != c_Inter(X52,X53)
      | X51 = c_UNIV ),
    inference(variable_rename,[status(thm)],[c_0_3206]) ).

fof(c_0_5409,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,tc_set(X53))
      | c_Union(X52,X53) != c_emptyset
      | X51 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3207]) ).

fof(c_0_5410,plain,
    ! [X51,X52,X53] :
      ( ~ c_in(X51,X52,tc_set(X53))
      | c_emptyset != c_Union(X52,X53)
      | X51 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3208]) ).

fof(c_0_5411,plain,
    ! [X67,X68] :
      ( c_Nat_Osize(c_List_Oremdups(X67,X68),tc_List_Olist(X68)) != c_Nat_Osize(X67,tc_List_Olist(X68))
      | c_List_Oremdups(X67,X68) = X67 ),
    inference(variable_rename,[status(thm)],[c_0_3209]) ).

fof(c_0_5412,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_HOL_Oabs(X51,X52) = c_uminus(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3210]) ).

fof(c_0_5413,plain,
    ! [X63] :
      ( ~ c_less(c_HOL_Oabs(X63,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
      | X63 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3211]) ).

fof(c_0_5414,plain,
    ! [X51,X52] :
      ( ~ c_in(X51,c_Finite__Set_OFinites,tc_set(X52))
      | c_Finite__Set_Ocard(X51,X52) != c_0
      | X51 = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3212]) ).

fof(c_0_5415,plain,
    ! [X51,X52] :
      ( ~ class_Power_Orecpower(X52)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X52)
      | c_Parity_Oeven(X51,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X52),X51,X52) = c_uminus(c_1,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3213]) ).

fof(c_0_5416,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Power_Orecpower(X52)
      | c_Parity_Oeven(X51,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X52),X51,X52) = c_Numeral_Onumber__of(c_Numeral_OMin,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3214]) ).

fof(c_0_5417,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Oorder(X52)
      | c_SetInterval_OatLeastAtMost(X51,X51,X52) = c_insert(X51,c_emptyset,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3215]) ).

fof(c_0_5418,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ofield(X53)
      | c_times(c_0,X52,X53) = c_times(c_0,X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3216]) ).

fof(c_0_5419,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Ofield(X53)
      | c_times(X52,c_0,X53) = c_times(X51,c_0,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3217]) ).

fof(c_0_5420,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(X51,c_Numeral_Onumber__of(c_Numeral_OMin,X52),X52) = c_uminus(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3218]) ).

fof(c_0_5421,plain,
    ! [X51,X52] :
      ( ~ class_Power_Orecpower(X52)
      | ~ class_Ring__and__Field_Ocomm__ring__1(X52)
      | ~ c_Parity_Oeven(X51,tc_nat)
      | c_Nat_Opower(c_uminus(c_1,X52),X51,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3219]) ).

fof(c_0_5422,plain,
    ! [X51,X52] :
      ( ~ class_Numeral_Onumber__ring(X52)
      | ~ class_Power_Orecpower(X52)
      | ~ c_Parity_Oeven(X51,tc_nat)
      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X52),X51,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3220]) ).

fof(c_0_5423,plain,
    ! [X51,X52] :
      ( X51 = c_List_Olist_ONil
      | c_List_Olist_OCons(c_List_Ohd(X51,X52),c_List_Otl(X51,X52),X52) = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3221])])]) ).

fof(c_0_5424,plain,
    ! [X67,X68] :
      ( c_in(c_List_Ohd(X67,X68),c_List_Oset(X67,X68),X68)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3222])])]) ).

fof(c_0_5425,plain,
    ! [X73,X74] :
      ( c_in(c_List_Olast(X73,X74),c_List_Oset(X73,X74),X74)
      | X73 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3223])])]) ).

fof(c_0_5426,plain,
    ! [X65,X66] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X66)
      | c_NatArith_Oof__nat(c_Suc(X65),X66) = c_plus(c_NatArith_Oof__nat(X65,X66),c_1,X66) ),
    inference(variable_rename,[status(thm)],[c_0_3224]) ).

fof(c_0_5427,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_HOL_Oabs(X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3225]) ).

fof(c_0_5428,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_OrderedGroup_Onprt(X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3226]) ).

fof(c_0_5429,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_OrderedGroup_Opprt(X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3227]) ).

fof(c_0_5430,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(c_0,X51,X52)
      | c_OrderedGroup_Onprt(X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3228]) ).

fof(c_0_5431,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | ~ c_lessequals(X51,c_0,X52)
      | c_OrderedGroup_Opprt(X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3229]) ).

fof(c_0_5432,plain,
    ! [X51] :
      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X51))
      | c_Finite__Set_Ocard(c_emptyset,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3230]) ).

fof(c_0_5433,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | c_Numeral_Onumber__of(X61,tc_nat) != c_0
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3231]) ).

fof(c_0_5434,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(X52,X51,X53) != c_0
      | X51 = c_0
      | X52 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3232]) ).

fof(c_0_5435,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_divide(X52,X51,X53) != c_1
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3233]) ).

fof(c_0_5436,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | c_divide(X51,X52,X53) != c_1
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3234]) ).

fof(c_0_5437,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Oordered__field(X53)
      | c_1 != c_divide(X51,X52,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3235]) ).

fof(c_0_5438,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_1 != c_divide(X52,X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3236]) ).

fof(c_0_5439,plain,
    ! [X54,X55,X56] :
      ( ~ class_Power_Orecpower(X56)
      | ~ class_Ring__and__Field_Oordered__idom(X56)
      | c_Nat_Opower(X55,X54,X56) != c_0
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3237]) ).

fof(c_0_5440,plain,
    ! [X51,X52] :
      ( c_in(c_Main_OInter__UNIV__conv__1__1(X51,X52),X51,tc_set(X52))
      | c_Inter(X51,X52) = c_UNIV ),
    inference(variable_rename,[status(thm)],[c_0_3238]) ).

fof(c_0_5441,plain,
    ! [X51,X52] :
      ( c_in(c_Main_OInter__UNIV__conv__2__1(X51,X52),X51,tc_set(X52))
      | c_UNIV = c_Inter(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3239]) ).

fof(c_0_5442,plain,
    ! [X51,X52] :
      ( c_in(c_Main_OUnion__empty__conv__1(X51,X52),X51,tc_set(X52))
      | c_Union(X51,X52) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3240]) ).

fof(c_0_5443,plain,
    ! [X51,X52] :
      ( c_in(c_Main_Oempty__Union__conv__1(X51,X52),X51,tc_set(X52))
      | c_emptyset = c_Union(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3241]) ).

fof(c_0_5444,plain,
    ! [X62,X63] :
      ( c_IntDef_Oint(X63) != c_Numeral_Onumber__of(X62,tc_IntDef_Oint)
      | c_lessequals(c_0,c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3242])])]) ).

fof(c_0_5445,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X62,tc_nat),X63) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3243]) ).

fof(c_0_5446,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Oab__group__add(X64)
      | c_Numeral_Onumber__of(X62,X64) != c_uminus(X63,X64)
      | X63 = c_uminus(c_Numeral_Onumber__of(X62,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3244]) ).

fof(c_0_5447,plain,
    ! [X62,X63,X64] :
      ( ~ class_Numeral_Onumber(X64)
      | ~ class_OrderedGroup_Oab__group__add(X64)
      | c_uminus(X63,X64) != c_Numeral_Onumber__of(X62,X64)
      | c_uminus(c_Numeral_Onumber__of(X62,X64),X64) = X63 ),
    inference(variable_rename,[status(thm)],[c_0_3245]) ).

fof(c_0_5448,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | c_divide(c_1,X51,X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3246]) ).

fof(c_0_5449,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | c_0 != c_divide(c_1,X51,X52)
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3247]) ).

fof(c_0_5450,plain,
    ! [X63,X64] :
      ( ~ class_Numeral_Onumber__ring(X64)
      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X64),X63,X64) = c_uminus(X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_3248]) ).

fof(c_0_5451,plain,
    ! [X63,X64] :
      ( ~ class_Numeral_Onumber__ring(X64)
      | c_times(X63,c_Numeral_Onumber__of(c_Numeral_OMin,X64),X64) = c_uminus(X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_3249]) ).

fof(c_0_5452,plain,
    ! [X56,X57] :
      ( ~ c_lessequals(X56,X57,tc_nat)
      | c_List_Oupt(X57,X56) = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3250]) ).

fof(c_0_5453,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | c_divide(X51,c_0,X52) != c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3251]) ).

fof(c_0_5454,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | c_1 != c_divide(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3252]) ).

fof(c_0_5455,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__idom(X53)
      | X51 != c_times(X51,X52,X53)
      | X51 = c_0
      | X52 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3253]) ).

fof(c_0_5456,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__idom(X53)
      | c_times(X51,X52,X53) != X51
      | X51 = c_0
      | X52 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3254]) ).

fof(c_0_5457,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__idom(X53)
      | X51 != c_times(X52,X51,X53)
      | X51 = c_0
      | X52 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3255]) ).

fof(c_0_5458,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__idom(X53)
      | c_times(X52,X51,X53) != X51
      | X51 = c_0
      | X52 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3256]) ).

fof(c_0_5459,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
      | c_times(X52,X51,X53) != c_0
      | X51 = c_0
      | X52 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3257]) ).

fof(c_0_5460,plain,
    ! [X61,X62] :
      ( ~ class_Power_Orecpower(X62)
      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X61,tc_nat),X62) = c_0
      | c_Numeral_Onumber__of(X61,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3258]) ).

fof(c_0_5461,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Oab__group__add(X53)
      | c_minus(X52,X51,X53) != c_0
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3259]) ).

fof(c_0_5462,plain,
    ! [X51,X52] :
      ( ~ c_lessequals(X51,c_emptyset,tc_set(X52))
      | X51 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3260])])]) ).

fof(c_0_5463,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | c_HOL_Oabs(c_HOL_Oinverse(X51,X52),X52) = c_HOL_Oinverse(c_HOL_Oabs(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3261]) ).

fof(c_0_5464,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_HOL_Oinverse(c_uminus(X51,X52),X52) = c_uminus(c_HOL_Oinverse(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3262]) ).

fof(c_0_5465,plain,
    ! [X62,X63] :
      ( ~ class_Numeral_Onumber__ring(X63)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X62,tc_nat),X63) = c_Numeral_Onumber__of(X62,X63) ),
    inference(variable_rename,[status(thm)],[c_0_3263]) ).

fof(c_0_5466,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Oorder(X52)
      | ~ c_less(X51,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3264]) ).

fof(c_0_5467,plain,
    ! [X63] :
      ( ~ c_lessequals(c_0,X63,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X63)) = X63 ),
    inference(variable_rename,[status(thm)],[c_0_3265]) ).

fof(c_0_5468,plain,
    ! [X54] :
      ( ~ c_lessequals(c_IntDef_Oint(X54),c_0,tc_IntDef_Oint)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3266]) ).

fof(c_0_5469,plain,
    ! [X55] :
      ( ~ c_Divides_Oop_Advd(X55,c_Suc(c_0),tc_nat)
      | X55 = c_Suc(c_0) ),
    inference(variable_rename,[status(thm)],[c_0_3267]) ).

fof(c_0_5470,plain,
    ! [X62] :
      ( c_0 != c_Numeral_Onumber__of(X62,tc_nat)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3268]) ).

fof(c_0_5471,plain,
    ! [X62] :
      ( c_Numeral_Onumber__of(X62,tc_nat) != c_0
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3269]) ).

fof(c_0_5472,plain,
    ! [X67,X68] :
      ( c_less(c_0,c_Nat_Osize(X67,tc_List_Olist(X68)),tc_nat)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3270])])]) ).

fof(c_0_5473,plain,
    ! [X67,X68] :
      ( c_List_Oremdups(X67,X68) != X67
      | c_Nat_Osize(c_List_Oremdups(X67,X68),tc_List_Olist(X68)) = c_Nat_Osize(X67,tc_List_Olist(X68)) ),
    inference(variable_rename,[status(thm)],[c_0_3271]) ).

fof(c_0_5474,plain,
    ! [X54] :
      ( ~ c_less(X54,c_Suc(c_0),tc_nat)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3272]) ).

fof(c_0_5475,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Ofield(X52)
      | X51 = c_0
      | c_times(c_HOL_Oinverse(X51,X52),X51,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3273]) ).

fof(c_0_5476,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Ofield(X52)
      | X51 = c_0
      | c_times(X51,c_HOL_Oinverse(X51,X52),X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3274]) ).

fof(c_0_5477,plain,
    ! [X67,X68,X69] :
      ( c_List_Otake(X68,X67,X69) != c_List_Olist_ONil
      | X68 = c_0
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3275])])]) ).

fof(c_0_5478,plain,
    ! [X67,X68,X69] :
      ( c_append(X68,X67,X69) != X67
      | X68 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3276])])]) ).

fof(c_0_5479,plain,
    ! [X67,X68,X69] :
      ( c_append(X68,X67,X69) != X68
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3277])])]) ).

fof(c_0_5480,plain,
    ! [X67,X68,X69] :
      ( X67 != c_append(X68,X67,X69)
      | X68 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3278])])]) ).

fof(c_0_5481,plain,
    ! [X67,X68,X69] :
      ( X68 != c_append(X68,X67,X69)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3279])])]) ).

fof(c_0_5482,plain,
    ! [X55,X56] :
      ( c_times(X56,X55,tc_nat) != c_Suc(c_0)
      | X56 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3280]) ).

fof(c_0_5483,plain,
    ! [X55,X56] :
      ( c_times(X56,X55,tc_nat) != c_Suc(c_0)
      | X55 = c_1 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3281])])]) ).

fof(c_0_5484,plain,
    ! [X55,X56] :
      ( c_Suc(c_0) != c_times(X56,X55,tc_nat)
      | X56 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3282]) ).

fof(c_0_5485,plain,
    ! [X55,X56] :
      ( c_Suc(c_0) != c_times(X56,X55,tc_nat)
      | X55 = c_1 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3283])])]) ).

fof(c_0_5486,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | ~ c_lessequals(c_1,c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3284]) ).

fof(c_0_5487,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | ~ c_less(c_1,c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3285]) ).

fof(c_0_5488,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_plus(c_uminus(X51,X52),X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3286]) ).

fof(c_0_5489,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_plus(X51,c_uminus(X51,X52),X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3287]) ).

fof(c_0_5490,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_less(c_0,c_HOL_Oabs(X51,X52),X52)
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3288]) ).

fof(c_0_5491,plain,
    ! [X51,X52,X53] :
      ( c_emptyset != c_Equiv__Relations_Oquotient(X52,X51,X53)
      | X52 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3289])])]) ).

fof(c_0_5492,plain,
    ! [X51,X52,X53] :
      ( c_Equiv__Relations_Oquotient(X52,X51,X53) != c_emptyset
      | X52 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3290])])]) ).

fof(c_0_5493,plain,
    ! [X67,X68,X69] :
      ( c_List_Olist_ONil != c_append(X68,X67,X69)
      | X68 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3291])])]) ).

fof(c_0_5494,plain,
    ! [X67,X68,X69] :
      ( c_List_Olist_ONil != c_append(X68,X67,X69)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3292])])]) ).

fof(c_0_5495,plain,
    ! [X67,X68,X69] :
      ( c_append(X68,X67,X69) != c_List_Olist_ONil
      | X68 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3293])])]) ).

fof(c_0_5496,plain,
    ! [X67,X68,X69] :
      ( c_append(X68,X67,X69) != c_List_Olist_ONil
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3294])])]) ).

fof(c_0_5497,plain,
    ! [X67,X68,X69] :
      ( c_List_Orotate(X68,X67,X69) != c_List_Olist_ONil
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3295])])]) ).

fof(c_0_5498,plain,
    ! [X51,X52,X53] :
      ( c_inter(X52,X51,X53) != c_UNIV
      | X52 = c_UNIV ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3296])])]) ).

fof(c_0_5499,plain,
    ! [X51,X52,X53] :
      ( c_inter(X52,X51,X53) != c_UNIV
      | X51 = c_UNIV ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3297])])]) ).

fof(c_0_5500,plain,
    ! [X51,X52,X53] :
      ( c_union(X52,X51,X53) != c_emptyset
      | X52 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3298])])]) ).

fof(c_0_5501,plain,
    ! [X51,X52,X53] :
      ( c_union(X52,X51,X53) != c_emptyset
      | X51 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3299])])]) ).

fof(c_0_5502,plain,
    ! [X55,X56] :
      ( c_times(X56,X55,tc_nat) != c_0
      | X55 = c_0
      | X56 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3300]) ).

fof(c_0_5503,plain,
    ! [X26] :
      ( ~ c_in(X26,c_Message_OsymKeys,tc_nat)
      | c_Message_OinvKey(X26) = X26 ),
    inference(variable_rename,[status(thm)],[c_0_3301]) ).

fof(c_0_5504,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X55)
      | c_in(c_NatArith_Oof__nat(X54,X55),c_IntDef_ONats,X55) ),
    inference(variable_rename,[status(thm)],[c_0_3302]) ).

fof(c_0_5505,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X55)
      | c_lessequals(c_0,c_NatArith_Oof__nat(X54,X55),X55) ),
    inference(variable_rename,[status(thm)],[c_0_3303]) ).

fof(c_0_5506,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_lessequals(c_0,c_HOL_Oabs(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3304]) ).

fof(c_0_5507,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | c_lessequals(c_OrderedGroup_Onprt(X51,X52),c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3305]) ).

fof(c_0_5508,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X52)
      | c_lessequals(c_0,c_OrderedGroup_Opprt(X51,X52),X52) ),
    inference(variable_rename,[status(thm)],[c_0_3306]) ).

fof(c_0_5509,plain,
    ! [X63] :
      ( ~ c_lessequals(X63,c_0,tc_IntDef_Oint)
      | c_IntDef_Onat(X63) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3307]) ).

fof(c_0_5510,plain,
    ! [X55,X56] :
      ( c_plus(X56,X55,tc_nat) != c_0
      | X56 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3308]) ).

fof(c_0_5511,plain,
    ! [X55,X56] :
      ( c_plus(X56,X55,tc_nat) != c_0
      | X55 = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3309])])]) ).

fof(c_0_5512,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X64)
      | c_IntDef_Oof__int(c_uminus(X63,tc_IntDef_Oint),X64) = c_uminus(c_IntDef_Oof__int(X63,X64),X64) ),
    inference(variable_rename,[status(thm)],[c_0_3310]) ).

fof(c_0_5513,plain,
    ! [X62] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X62,tc_nat)) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3311]) ).

fof(c_0_5514,plain,
    ! [X62] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X62,tc_nat)) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3312]) ).

fof(c_0_5515,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | c_lessequals(c_NatArith_Oof__nat(c_0,X51),c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3313]) ).

fof(c_0_5516,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X51)
      | c_lessequals(c_HOL_Oabs(c_0,X51),c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3314]) ).

fof(c_0_5517,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X51)
      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X51),X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3315]) ).

fof(c_0_5518,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X51)
      | c_LOrder_Omeet(c_0,c_uminus(c_0,X51),X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3316]) ).

fof(c_0_5519,plain,
    ! [X55] :
      ( ~ c_Divides_Oop_Advd(c_0,X55,tc_nat)
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3317]) ).

fof(c_0_5520,plain,
    ! [X55] :
      ( ~ c_Divides_Oop_Advd(c_0,X55,tc_IntDef_Oint)
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3318]) ).

fof(c_0_5521,plain,
    ! [X53] :
      ( ~ c_lessequals(X53,c_0,tc_nat)
      | X53 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3319]) ).

fof(c_0_5522,plain,
    ! [X54] :
      ( ~ c_less(X54,c_1,tc_nat)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3320]) ).

fof(c_0_5523,plain,
    ! [X51,X52] :
      ( c_in(c_Main_Oall__not__in__conv__1(X51,X52),X51,X52)
      | X51 = c_emptyset ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3321])])]) ).

fof(c_0_5524,plain,
    ! [X62] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Suc(c_Numeral_Onumber__of(X62,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X62),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3322]) ).

fof(c_0_5525,plain,
    ! [X67,X68] :
      ( ~ c_List_Odistinct(c_List_Orotate1(X67,X68),X68)
      | c_List_Odistinct(X67,X68) ),
    inference(variable_rename,[status(thm)],[c_0_3323]) ).

fof(c_0_5526,plain,
    ! [X67,X68] :
      ( ~ c_List_Odistinct(c_List_Orev(X67,X68),X68)
      | c_List_Odistinct(X67,X68) ),
    inference(variable_rename,[status(thm)],[c_0_3324]) ).

fof(c_0_5527,plain,
    ! [X56,X57] :
      ( c_List_Oupt(X57,X56) != c_List_Olist_ONil
      | c_lessequals(X56,X57,tc_nat)
      | X56 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3325]) ).

fof(c_0_5528,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_OHPair(X35,X33) != c_Message_Omsg_OMPair(X34,X32)
      | X34 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X35,X33)) ),
    inference(variable_rename,[status(thm)],[c_0_3326]) ).

fof(c_0_5529,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_Omsg_OMPair(X34,X32) != c_Message_OHPair(X35,X33)
      | X34 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X35,X33)) ),
    inference(variable_rename,[status(thm)],[c_0_3327]) ).

fof(c_0_5530,plain,
    ! [X62] :
      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_IntDef_Oint(c_Numeral_Onumber__of(X62,tc_nat)) = c_Numeral_Onumber__of(X62,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3328]) ).

fof(c_0_5531,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_minus(c_0,X51,X52) = c_uminus(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3329]) ).

fof(c_0_5532,plain,
    ! [X51,X52] :
      ( c_in(X51,c_Finite__Set_OFinites,tc_set(X52))
      | c_Finite__Set_Ocard(X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3330]) ).

fof(c_0_5533,plain,
    ! [X56,X57] :
      ( c_lessequals(X57,X56,tc_nat)
      | c_List_Oupt(X57,c_Suc(X56)) = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3331]) ).

fof(c_0_5534,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | ~ class_Ring__and__Field_Oordered__idom(X51)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3332]) ).

fof(c_0_5535,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | X51 = c_0
      | c_divide(X51,X51,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3333]) ).

fof(c_0_5536,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Oordered__field(X52)
      | X51 = c_0
      | c_1 = c_divide(X51,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3334]) ).

fof(c_0_5537,plain,
    ! [X51,X52] :
      ( ~ c_Wellfounded__Recursion_Owf(X51,X52)
      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X51,X52),tc_List_Olist(X52)) ),
    inference(variable_rename,[status(thm)],[c_0_3335]) ).

fof(c_0_5538,plain,
    ! [X51,X52] :
      ( ~ c_Wellfounded__Recursion_Owf(X51,X52)
      | c_Wellfounded__Recursion_Owf(c_List_Olex(X51,X52),tc_List_Olist(X52)) ),
    inference(variable_rename,[status(thm)],[c_0_3336]) ).

fof(c_0_5539,plain,
    ! [X62] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X62,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3337]) ).

fof(c_0_5540,plain,
    ! [X62] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X62,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3338]) ).

fof(c_0_5541,plain,
    ! [X62] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X62,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3339]) ).

fof(c_0_5542,plain,
    ! [X62] :
      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X62,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Numeral_Onumber__of(X62,tc_nat) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3340]) ).

fof(c_0_5543,plain,
    ! [X24] :
      ( ~ c_Parity_Oeven(c_uminus(X24,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_Parity_Oeven(X24,tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3341]) ).

fof(c_0_5544,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(c_0,X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3342]) ).

fof(c_0_5545,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(X51,c_0,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3343]) ).

fof(c_0_5546,plain,
    ! [X61,X62] :
      ( ~ class_Numeral_Onumber__ring(X62)
      | c_uminus(c_Numeral_Onumber__of(X61,X62),X62) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X61),X62) ),
    inference(variable_rename,[status(thm)],[c_0_3344]) ).

fof(c_0_5547,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_uminus(c_SetInterval_OatLeast(X51,X52),tc_set(X52)) = c_SetInterval_OlessThan(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3345]) ).

fof(c_0_5548,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_uminus(c_SetInterval_OatMost(X51,X52),tc_set(X52)) = c_SetInterval_OgreaterThan(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3346]) ).

fof(c_0_5549,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_uminus(c_SetInterval_OgreaterThan(X51,X52),tc_set(X52)) = c_SetInterval_OatMost(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3347]) ).

fof(c_0_5550,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Olinorder(X52)
      | c_uminus(c_SetInterval_OlessThan(X51,X52),tc_set(X52)) = c_SetInterval_OatLeast(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3348]) ).

fof(c_0_5551,plain,
    ! [X54,X55] :
      ( ~ class_Power_Orecpower(X55)
      | c_Nat_Opower(c_0,c_Suc(X54),X55) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3349]) ).

fof(c_0_5552,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_divide(c_0,c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3350]) ).

fof(c_0_5553,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | c_divide(c_1,c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3351]) ).

fof(c_0_5554,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Oordered__field(X51)
      | c_0 = c_divide(c_1,c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3352]) ).

fof(c_0_5555,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3353]) ).

fof(c_0_5556,plain,
    ! [X51,X52,X53] :
      ( c_uminus(X52,tc_set(X53)) != c_uminus(X51,tc_set(X53))
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3354])])]) ).

fof(c_0_5557,plain,
    ! [X67,X68] :
      ( ~ c_List_Odistinct(X67,X68)
      | c_List_Odistinct(c_List_Orotate1(X67,X68),X68) ),
    inference(variable_rename,[status(thm)],[c_0_3355]) ).

fof(c_0_5558,plain,
    ! [X67,X68] :
      ( ~ c_List_Odistinct(X67,X68)
      | c_List_Odistinct(c_List_Orev(X67,X68),X68) ),
    inference(variable_rename,[status(thm)],[c_0_3356]) ).

fof(c_0_5559,plain,
    ! [X51,X52] :
      ( ~ class_LOrder_Ojoin__semilorder(X52)
      | c_LOrder_Ojoin(X51,X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3357]) ).

fof(c_0_5560,plain,
    ! [X51,X52] :
      ( ~ class_LOrder_Omeet__semilorder(X52)
      | c_LOrder_Omeet(X51,X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3358]) ).

fof(c_0_5561,plain,
    ! [X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_Orderings_Omin(X52,X52,X53) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_3359]) ).

fof(c_0_5562,plain,
    ! [X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_Orderings_Omax(X52,X52,X53) = X52 ),
    inference(variable_rename,[status(thm)],[c_0_3360]) ).

fof(c_0_5563,plain,
    ! [X63] :
      ( c_lessequals(c_0,X63,tc_IntDef_Oint)
      | c_IntDef_Oint(c_IntDef_Onat(X63)) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3361]) ).

fof(c_0_5564,plain,
    ! [X51,X52] :
      ( ~ class_Orderings_Oorder(X52)
      | c_lessequals(X51,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3362]) ).

fof(c_0_5565,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_minus(X51,X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3363]) ).

fof(c_0_5566,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_HOL_Oabs(c_HOL_Oabs(X51,X52),X52) = c_HOL_Oabs(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3364]) ).

fof(c_0_5567,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_HOL_Oabs(c_uminus(X51,X52),X52) = c_HOL_Oabs(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3365]) ).

fof(c_0_5568,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X52)
      | c_plus(X51,c_0,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3366]) ).

fof(c_0_5569,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X52)
      | c_plus(c_0,X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3367]) ).

fof(c_0_5570,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_minus(X51,c_0,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3368]) ).

fof(c_0_5571,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Omonoid__mult(X52)
      | c_times(c_1,X51,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3369]) ).

fof(c_0_5572,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Omonoid__mult(X52)
      | c_times(X51,c_1,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3370]) ).

fof(c_0_5573,plain,
    ! [X51,X52] :
      ( ~ class_Power_Orecpower(X52)
      | c_Nat_Opower(X51,c_1,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3371]) ).

fof(c_0_5574,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Ofield(X52)
      | c_divide(X51,c_1,X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3372]) ).

fof(c_0_5575,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Oordered__idom(X52)
      | X51 = c_times(X51,c_1,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3373]) ).

fof(c_0_5576,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Oordered__idom(X52)
      | X51 = c_times(c_1,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3374]) ).

fof(c_0_5577,plain,
    ! [X51,X52,X53] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X53)
      | ~ class_Ring__and__Field_Ofield(X53)
      | c_HOL_Oinverse(X52,X53) != c_HOL_Oinverse(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3375]) ).

fof(c_0_5578,plain,
    ! [X54,X55] :
      ( ~ class_Power_Orecpower(X55)
      | c_Nat_Opower(c_1,X54,X55) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3376]) ).

fof(c_0_5579,plain,
    ! [X51,X52] :
      ( ~ class_Power_Orecpower(X52)
      | c_Nat_Opower(X51,c_0,X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3377]) ).

fof(c_0_5580,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_0 = c_times(c_0,X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3378]) ).

fof(c_0_5581,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Oordered__idom(X52)
      | c_0 = c_times(X51,c_0,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3379]) ).

fof(c_0_5582,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X52)
      | c_times(c_0,X51,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3380]) ).

fof(c_0_5583,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X52)
      | c_times(X51,c_0,X52) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3381]) ).

fof(c_0_5584,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X51)
      | c_in(c_0,c_IntDef_OInts,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3382]) ).

fof(c_0_5585,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X51)
      | c_in(c_1,c_IntDef_OInts,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3383]) ).

fof(c_0_5586,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X51)
      | c_in(c_0,c_IntDef_ONats,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3384]) ).

fof(c_0_5587,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X51)
      | c_in(c_1,c_IntDef_ONats,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3385]) ).

fof(c_0_5588,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | c_less(c_0,c_1,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3386]) ).

fof(c_0_5589,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | c_lessequals(c_0,c_1,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3387]) ).

fof(c_0_5590,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X55)
      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X54,tc_IntDef_Oint),X55) = c_NatArith_Oof__nat(X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_3388]) ).

fof(c_0_5591,plain,
    ! [X24] :
      ( ~ c_Parity_Oeven(X24,tc_IntDef_Oint)
      | c_Parity_Oeven(c_uminus(X24,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(variable_rename,[status(thm)],[c_0_3389]) ).

fof(c_0_5592,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_HOL_Oinverse(c_HOL_Oinverse(X51,X52),X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3390]) ).

fof(c_0_5593,plain,
    ! [X50] :
      ( X50 = c_0
      | c_div(X50,X50,tc_IntDef_Oint) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3391]) ).

fof(c_0_5594,plain,
    ! [X62,X63] :
      ( c_IntDef_Oint(X63) != c_Numeral_Onumber__of(X62,tc_IntDef_Oint)
      | X63 = c_IntDef_Onat(c_Numeral_Onumber__of(X62,tc_IntDef_Oint)) ),
    inference(variable_rename,[status(thm)],[c_0_3392]) ).

fof(c_0_5595,plain,
    ! [X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oordered__idom(X65)
      | c_IntDef_Oof__int(X64,X65) != c_IntDef_Oof__int(X63,X65)
      | X64 = X63 ),
    inference(variable_rename,[status(thm)],[c_0_3393]) ).

fof(c_0_5596,plain,
    ! [X55,X56,X57] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X57)
      | c_NatArith_Oof__nat(X56,X57) != c_NatArith_Oof__nat(X55,X57)
      | X56 = X55 ),
    inference(variable_rename,[status(thm)],[c_0_3394]) ).

fof(c_0_5597,plain,
    ! [X51,X52,X53] :
      ( ~ class_OrderedGroup_Oab__group__add(X53)
      | c_uminus(X52,X53) != c_uminus(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3395]) ).

fof(c_0_5598,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_SetInterval_OatLeast(X52,X53) != c_SetInterval_OatLeast(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3396]) ).

fof(c_0_5599,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_SetInterval_OatMost(X52,X53) != c_SetInterval_OatMost(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3397]) ).

fof(c_0_5600,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_SetInterval_OgreaterThan(X52,X53) != c_SetInterval_OgreaterThan(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3398]) ).

fof(c_0_5601,plain,
    ! [X51,X52,X53] :
      ( ~ class_Orderings_Olinorder(X53)
      | c_SetInterval_OlessThan(X52,X53) != c_SetInterval_OlessThan(X51,X53)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3399]) ).

fof(c_0_5602,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X51) = c_Numeral_Onumber__of(c_Numeral_OMin,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3400]) ).

fof(c_0_5603,plain,
    ! [X54] :
      ( c_less(c_0,X54,tc_nat)
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3401]) ).

fof(c_0_5604,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | ~ class_Ring__and__Field_Oordered__idom(X51)
      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X51),X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3402]) ).

fof(c_0_5605,plain,
    ! [X52] :
      ( ~ class_HOL_Oone(X52)
      | ~ class_OrderedGroup_Oab__group__add(X52)
      | c_uminus(c_uminus(c_1,X52),X52) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3403]) ).

fof(c_0_5606,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | ~ class_Ring__and__Field_Oordered__idom(X51)
      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3404]) ).

fof(c_0_5607,plain,
    ! [X52,X53] :
      ( ~ class_HOL_Oone(X53)
      | ~ class_OrderedGroup_Oab__group__add(X53)
      | c_uminus(X52,X53) != c_1
      | X52 = c_uminus(c_1,X53) ),
    inference(variable_rename,[status(thm)],[c_0_3405]) ).

fof(c_0_5608,plain,
    ! [X24] :
      ( ~ c_Parity_Oeven(X24,tc_nat)
      | ~ c_Parity_Oeven(c_Suc(X24),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3406]) ).

fof(c_0_5609,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_uminus(c_uminus(X51,X52),X52) = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3407]) ).

fof(c_0_5610,plain,
    ! [X60,X61,X62] :
      ( c_Datatype_Ooption_OSome(X61,X62) != c_Datatype_Ooption_OSome(X60,X62)
      | X61 = X60 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3408])])]) ).

fof(c_0_5611,plain,
    ! [X81,X82,X83,X84] :
      ( c_List_Ochar_OChar(X84,X82) != c_List_Ochar_OChar(X83,X81)
      | X84 = X83 ),
    inference(variable_rename,[status(thm)],[c_0_3409]) ).

fof(c_0_5612,plain,
    ! [X81,X82,X83,X84] :
      ( c_List_Ochar_OChar(X84,X82) != c_List_Ochar_OChar(X83,X81)
      | X82 = X81 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3410])])]) ).

fof(c_0_5613,plain,
    ! [X67,X68,X69] :
      ( c_List_Orev(X68,X69) != c_List_Orev(X67,X69)
      | X68 = X67 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3411])])]) ).

fof(c_0_5614,plain,
    ! [X47,X48,X49,X50] :
      ( c_Message_Omsg_OMPair(X50,X48) != c_Message_Omsg_OMPair(X49,X47)
      | X50 = X49 ),
    inference(variable_rename,[status(thm)],[c_0_3412]) ).

fof(c_0_5615,plain,
    ! [X47,X48,X49,X50] :
      ( c_Message_Omsg_OMPair(X50,X48) != c_Message_Omsg_OMPair(X49,X47)
      | X48 = X47 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3413])])]) ).

fof(c_0_5616,plain,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OCrypt(X44,X46) != c_Message_Omsg_OCrypt(X43,X45)
      | X44 = X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3414])])]) ).

fof(c_0_5617,plain,
    ! [X43,X44,X45,X46] :
      ( c_Message_Omsg_OCrypt(X44,X46) != c_Message_Omsg_OCrypt(X43,X45)
      | X46 = X45 ),
    inference(variable_rename,[status(thm)],[c_0_3415]) ).

fof(c_0_5618,plain,
    ! [X37,X38,X39,X40] :
      ( c_Event_Oevent_OGets(X40,X38) != c_Event_Oevent_OGets(X39,X37)
      | X40 = X39 ),
    inference(variable_rename,[status(thm)],[c_0_3416]) ).

fof(c_0_5619,plain,
    ! [X37,X38,X39,X40] :
      ( c_Event_Oevent_OGets(X40,X38) != c_Event_Oevent_OGets(X39,X37)
      | X38 = X37 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3417])])]) ).

fof(c_0_5620,plain,
    ! [X37,X38,X39,X40] :
      ( c_Event_Oevent_ONotes(X40,X38) != c_Event_Oevent_ONotes(X39,X37)
      | X40 = X39 ),
    inference(variable_rename,[status(thm)],[c_0_3418]) ).

fof(c_0_5621,plain,
    ! [X37,X38,X39,X40] :
      ( c_Event_Oevent_ONotes(X40,X38) != c_Event_Oevent_ONotes(X39,X37)
      | X38 = X37 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3419])])]) ).

fof(c_0_5622,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_OHPair(X34,X32) != c_Message_OHPair(X35,X33)
      | X34 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_3420]) ).

fof(c_0_5623,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_OHPair(X34,X32) != c_Message_OHPair(X35,X33)
      | X32 = X33 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3421])])]) ).

fof(c_0_5624,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_OHPair(X35,X33) != c_Message_Omsg_OMPair(X34,X32)
      | X32 = X33 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3422])])]) ).

fof(c_0_5625,plain,
    ! [X32,X33,X34,X35] :
      ( c_Message_Omsg_OMPair(X34,X32) != c_Message_OHPair(X35,X33)
      | X32 = X33 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3423])])]) ).

fof(c_0_5626,plain,
    ! [X28,X29,X30,X31] :
      ( c_Public_OpublicKey(X29,X31) != c_Public_OpublicKey(X28,X30)
      | X29 = X28 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3424])])]) ).

fof(c_0_5627,plain,
    ! [X28,X29,X30,X31] :
      ( c_Public_OpublicKey(X29,X31) != c_Public_OpublicKey(X28,X30)
      | X31 = X30 ),
    inference(variable_rename,[status(thm)],[c_0_3425]) ).

fof(c_0_5628,plain,
    ! [X90,X91] :
      ( class_Finite__Set_Ofinite(tc_fun(X90,X91))
      | ~ class_Finite__Set_Ofinite(X91)
      | ~ class_Finite__Set_Ofinite(X90) ),
    inference(variable_rename,[status(thm)],[c_0_3426]) ).

fof(c_0_5629,plain,
    ! [X90,X91] :
      ( class_Finite__Set_Ofinite(tc_prod(X90,X91))
      | ~ class_Finite__Set_Ofinite(X91)
      | ~ class_Finite__Set_Ofinite(X90) ),
    inference(variable_rename,[status(thm)],[c_0_3427]) ).

fof(c_0_5630,plain,
    ! [X90,X91] :
      ( class_Finite__Set_Ofinite(tc_sum(X90,X91))
      | ~ class_Finite__Set_Ofinite(X91)
      | ~ class_Finite__Set_Ofinite(X90) ),
    inference(variable_rename,[status(thm)],[c_0_3428]) ).

fof(c_0_5631,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X51),X51) ),
    inference(variable_rename,[status(thm)],[c_0_3429]) ).

fof(c_0_5632,plain,
    ! [X51,X52] :
      ( X51 = c_Datatype_Ooption_ONone
      | X51 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X51,X52),X52) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3430])])]) ).

fof(c_0_5633,plain,
    ! [X51,X52] :
      ( X51 = c_Datatype_Ooption_ONone
      | X51 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X51,X52),X52) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3431])])]) ).

fof(c_0_5634,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X55)
      | c_IntDef_Oof__int(c_IntDef_Oint(X54),X55) = c_NatArith_Oof__nat(X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_3432]) ).

fof(c_0_5635,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3433]) ).

fof(c_0_5636,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_HOL_Oinverse(X51,X52) != c_1
      | X51 = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3434]) ).

fof(c_0_5637,plain,
    ! [X51,X52] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X52)
      | ~ class_Ring__and__Field_Ofield(X52)
      | c_HOL_Oinverse(X51,X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3435]) ).

fof(c_0_5638,plain,
    ! [X55,X56] :
      ( c_uminus(c_IntDef_Oint(X55),tc_IntDef_Oint) != c_IntDef_Oint(X56)
      | X55 = c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3436])])]) ).

fof(c_0_5639,plain,
    ! [X55,X56] :
      ( c_uminus(c_IntDef_Oint(X55),tc_IntDef_Oint) != c_IntDef_Oint(X56)
      | X56 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3437]) ).

fof(c_0_5640,plain,
    ! [X77,X78] :
      ( c_Main_ONil__eq__concat__conv__1(X77,X78) != c_List_Olist_ONil
      | c_List_Olist_ONil = c_List_Oconcat(X77,X78) ),
    inference(variable_rename,[status(thm)],[c_0_3438]) ).

fof(c_0_5641,plain,
    ! [X77,X78] :
      ( c_Main_Oconcat__eq__Nil__conv__1(X77,X78) != c_List_Olist_ONil
      | c_List_Oconcat(X77,X78) = c_List_Olist_ONil ),
    inference(variable_rename,[status(thm)],[c_0_3439]) ).

fof(c_0_5642,plain,
    ! [X51,X52] :
      ( c_Main_OInter__UNIV__conv__1__1(X51,X52) != c_UNIV
      | c_Inter(X51,X52) = c_UNIV ),
    inference(variable_rename,[status(thm)],[c_0_3440]) ).

fof(c_0_5643,plain,
    ! [X51,X52] :
      ( c_Main_OInter__UNIV__conv__2__1(X51,X52) != c_UNIV
      | c_UNIV = c_Inter(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3441]) ).

fof(c_0_5644,plain,
    ! [X51,X52] :
      ( c_Main_OUnion__empty__conv__1(X51,X52) != c_emptyset
      | c_Union(X51,X52) = c_emptyset ),
    inference(variable_rename,[status(thm)],[c_0_3442]) ).

fof(c_0_5645,plain,
    ! [X51,X52] :
      ( c_Main_Oempty__Union__conv__1(X51,X52) != c_emptyset
      | c_emptyset = c_Union(X51,X52) ),
    inference(variable_rename,[status(thm)],[c_0_3443]) ).

fof(c_0_5646,plain,
    ! [X67,X68] :
      ( c_Nat_Osize(X67,tc_List_Olist(X68)) != c_0
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3444])])]) ).

fof(c_0_5647,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_uminus(c_1,X51) = c_Numeral_Onumber__of(c_Numeral_OMin,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3445]) ).

fof(c_0_5648,plain,
    ! [X24] :
      ( c_Parity_Oeven(X24,tc_nat)
      | c_Parity_Oeven(c_Suc(X24),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_3446]) ).

fof(c_0_5649,plain,
    ! [X63,X64] :
      ( ~ class_Ring__and__Field_Oordered__idom(X64)
      | c_0 != c_IntDef_Oof__int(X63,X64)
      | c_0 = X63 ),
    inference(variable_rename,[status(thm)],[c_0_3447]) ).

fof(c_0_5650,plain,
    ! [X61,X62] :
      ( ~ class_Ring__and__Field_Oordered__idom(X62)
      | c_IntDef_Oof__int(X61,X62) != c_0
      | X61 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3448]) ).

fof(c_0_5651,plain,
    ! [X54,X55] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X55)
      | c_0 != c_NatArith_Oof__nat(X54,X55)
      | c_0 = X54 ),
    inference(variable_rename,[status(thm)],[c_0_3449]) ).

fof(c_0_5652,plain,
    ! [X55,X56] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X56)
      | c_NatArith_Oof__nat(X55,X56) != c_0
      | X55 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3450]) ).

fof(c_0_5653,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_0 != c_HOL_Oabs(X51,X52)
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3451]) ).

fof(c_0_5654,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X52)
      | c_HOL_Oabs(X51,X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3452]) ).

fof(c_0_5655,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_0 != c_uminus(X51,X52)
      | c_0 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_3453]) ).

fof(c_0_5656,plain,
    ! [X51,X52] :
      ( ~ class_OrderedGroup_Oab__group__add(X52)
      | c_uminus(X51,X52) != c_0
      | X51 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3454]) ).

fof(c_0_5657,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X51)
      | ~ c_IntDef_Oiszero(c_1,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3455]) ).

fof(c_0_5658,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__idom(X51)
      | ~ c_IntDef_Oneg(c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3456]) ).

fof(c_0_5659,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__idom(X51)
      | ~ c_IntDef_Oneg(c_1,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3457]) ).

fof(c_0_5660,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_HOL_Oinverse(c_1,X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3458]) ).

fof(c_0_5661,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X51)
      | ~ class_Ring__and__Field_Ofield(X51)
      | c_HOL_Oinverse(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3459]) ).

fof(c_0_5662,plain,
    ! [X87,X88] :
      ( c_Datatype_Oo2s(X87,X88) != c_emptyset
      | X87 = c_Datatype_Ooption_ONone ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3460])])]) ).

fof(c_0_5663,plain,
    ! [X67,X68] :
      ( c_List_Olist_ONil != c_List_Orev(X67,X68)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3461])])]) ).

fof(c_0_5664,plain,
    ! [X51,X52] :
      ( c_List_Oremdups(X51,X52) != c_List_Olist_ONil
      | X51 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3462])])]) ).

fof(c_0_5665,plain,
    ! [X51,X52] :
      ( c_List_Olist_ONil != c_List_Oremdups(X51,X52)
      | X51 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3463])])]) ).

fof(c_0_5666,plain,
    ! [X67,X68] :
      ( c_List_Orev(X67,X68) != c_List_Olist_ONil
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3464])])]) ).

fof(c_0_5667,plain,
    ! [X67,X68] :
      ( c_List_Orotate1(X67,X68) != c_List_Olist_ONil
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3465])])]) ).

fof(c_0_5668,plain,
    ! [X67,X68] :
      ( c_emptyset != c_List_Oset(X67,X68)
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3466])])]) ).

fof(c_0_5669,plain,
    ! [X67,X68] :
      ( c_List_Oset(X67,X68) != c_emptyset
      | X67 = c_List_Olist_ONil ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3467])])]) ).

fof(c_0_5670,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__idom(X51)
      | c_0 = c_IntDef_Oof__int(c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3468]) ).

fof(c_0_5671,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X51)
      | c_IntDef_Oof__int(c_1,X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3469]) ).

fof(c_0_5672,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__idom(X51)
      | c_IntDef_Oof__int(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3470]) ).

fof(c_0_5673,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | c_0 = c_NatArith_Oof__nat(c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3471]) ).

fof(c_0_5674,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X51)
      | c_NatArith_Oof__nat(c_1,X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3472]) ).

fof(c_0_5675,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X51)
      | c_NatArith_Oof__nat(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3473]) ).

fof(c_0_5676,plain,
    ! [X51] :
      ( ~ class_Numeral_Onumber__ring(X51)
      | c_Numeral_Onumber__of(c_Numeral_OPls,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3474]) ).

fof(c_0_5677,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X51)
      | c_0 = c_HOL_Oabs(c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3475]) ).

fof(c_0_5678,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X51)
      | c_HOL_Oabs(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3476]) ).

fof(c_0_5679,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Oab__group__add(X51)
      | c_0 = c_uminus(c_0,X51) ),
    inference(variable_rename,[status(thm)],[c_0_3477]) ).

fof(c_0_5680,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Oab__group__add(X51)
      | c_uminus(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3478]) ).

fof(c_0_5681,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X51)
      | c_OrderedGroup_Onprt(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3479]) ).

fof(c_0_5682,plain,
    ! [X51] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X51)
      | c_OrderedGroup_Opprt(c_0,X51) = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_3480]) ).

fof(c_0_5683,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oordered__idom(X51)
      | c_HOL_Oabs(c_1,X51) = c_1 ),
    inference(variable_rename,[status(thm)],[c_0_3481]) ).

fof(c_0_5684,plain,
    ! [X90] :
      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X90))
      | ~ class_Finite__Set_Ofinite(X90) ),
    inference(variable_rename,[status(thm)],[c_0_3482]) ).

fof(c_0_5685,plain,
    ! [X90] :
      ( class_Finite__Set_Ofinite(tc_set(X90))
      | ~ class_Finite__Set_Ofinite(X90) ),
    inference(variable_rename,[status(thm)],[c_0_3483]) ).

fof(c_0_5686,plain,
    ! [X55,X56] :
      ( c_IntDef_Oint(X56) != c_IntDef_Oint(X55)
      | X56 = X55 ),
    inference(variable_rename,[status(thm)],[c_0_3484]) ).

fof(c_0_5687,plain,
    ! [X55,X56] :
      ( c_Suc(X56) != c_Suc(X55)
      | X56 = X55 ),
    inference(variable_rename,[status(thm)],[c_0_3485]) ).

fof(c_0_5688,plain,
    ! [X43,X44] :
      ( c_Message_Oagent_OFriend(X44) != c_Message_Oagent_OFriend(X43)
      | X44 = X43 ),
    inference(variable_rename,[status(thm)],[c_0_3486]) ).

fof(c_0_5689,plain,
    ! [X48,X49] :
      ( c_Message_OinvKey(X49) != c_Message_OinvKey(X48)
      | X49 = X48 ),
    inference(variable_rename,[status(thm)],[c_0_3487]) ).

fof(c_0_5690,plain,
    ! [X37,X38] :
      ( c_Message_Omsg_OAgent(X38) != c_Message_Omsg_OAgent(X37)
      | X38 = X37 ),
    inference(variable_rename,[status(thm)],[c_0_3488]) ).

fof(c_0_5691,plain,
    ! [X43,X44] :
      ( c_Message_Omsg_ONumber(X44) != c_Message_Omsg_ONumber(X43)
      | X44 = X43 ),
    inference(variable_rename,[status(thm)],[c_0_3489]) ).

fof(c_0_5692,plain,
    ! [X43,X44] :
      ( c_Message_Omsg_ONonce(X44) != c_Message_Omsg_ONonce(X43)
      | X44 = X43 ),
    inference(variable_rename,[status(thm)],[c_0_3490]) ).

fof(c_0_5693,plain,
    ! [X43,X44] :
      ( c_Message_Omsg_OKey(X44) != c_Message_Omsg_OKey(X43)
      | X44 = X43 ),
    inference(variable_rename,[status(thm)],[c_0_3491]) ).

fof(c_0_5694,plain,
    ! [X35,X36] :
      ( c_Message_Omsg_OHash(X36) != c_Message_Omsg_OHash(X35)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_3492]) ).

fof(c_0_5695,plain,
    ! [X26,X27] :
      ( c_Public_OshrK(X27) != c_Public_OshrK(X26)
      | X27 = X26 ),
    inference(variable_rename,[status(thm)],[c_0_3493]) ).

fof(c_0_5696,plain,
    ! [X88] :
      ( ~ class_LOrder_Ojoin__semilorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3494]) ).

fof(c_0_5697,plain,
    ! [X88] :
      ( ~ class_LOrder_Ojoin__semilorder(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3495]) ).

fof(c_0_5698,plain,
    ! [X88] :
      ( ~ class_LOrder_Olorder(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3496]) ).

fof(c_0_5699,plain,
    ! [X88] :
      ( ~ class_LOrder_Olorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3497]) ).

fof(c_0_5700,plain,
    ! [X88] :
      ( ~ class_LOrder_Olorder(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3498]) ).

fof(c_0_5701,plain,
    ! [X88] :
      ( ~ class_LOrder_Olorder(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3499]) ).

fof(c_0_5702,plain,
    ! [X88] :
      ( ~ class_LOrder_Omeet__semilorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3500]) ).

fof(c_0_5703,plain,
    ! [X88] :
      ( ~ class_LOrder_Omeet__semilorder(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3501]) ).

fof(c_0_5704,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3502]) ).

fof(c_0_5705,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3503]) ).

fof(c_0_5706,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3504]) ).

fof(c_0_5707,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3505]) ).

fof(c_0_5708,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3506]) ).

fof(c_0_5709,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3507]) ).

fof(c_0_5710,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3508]) ).

fof(c_0_5711,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3509]) ).

fof(c_0_5712,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3510]) ).

fof(c_0_5713,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3511]) ).

fof(c_0_5714,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3512]) ).

fof(c_0_5715,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3513]) ).

fof(c_0_5716,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3514]) ).

fof(c_0_5717,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3515]) ).

fof(c_0_5718,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3516]) ).

fof(c_0_5719,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3517]) ).

fof(c_0_5720,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3518]) ).

fof(c_0_5721,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3519]) ).

fof(c_0_5722,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3520]) ).

fof(c_0_5723,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3521]) ).

fof(c_0_5724,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3522]) ).

fof(c_0_5725,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3523]) ).

fof(c_0_5726,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__ring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3524]) ).

fof(c_0_5727,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3525]) ).

fof(c_0_5728,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Numeral_Onumber(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3526]) ).

fof(c_0_5729,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3527]) ).

fof(c_0_5730,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3528]) ).

fof(c_0_5731,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3529]) ).

fof(c_0_5732,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3530]) ).

fof(c_0_5733,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3531]) ).

fof(c_0_5734,plain,
    ! [X88] :
      ( ~ class_Numeral_Onumber__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3532]) ).

fof(c_0_5735,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3533]) ).

fof(c_0_5736,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3534]) ).

fof(c_0_5737,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3535]) ).

fof(c_0_5738,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3536]) ).

fof(c_0_5739,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3537]) ).

fof(c_0_5740,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3538]) ).

fof(c_0_5741,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3539]) ).

fof(c_0_5742,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__group__add(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3540]) ).

fof(c_0_5743,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3541]) ).

fof(c_0_5744,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3542]) ).

fof(c_0_5745,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3543]) ).

fof(c_0_5746,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3544]) ).

fof(c_0_5747,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3545]) ).

fof(c_0_5748,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3546]) ).

fof(c_0_5749,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3547]) ).

fof(c_0_5750,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3548]) ).

fof(c_0_5751,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3549]) ).

fof(c_0_5752,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3550]) ).

fof(c_0_5753,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3551]) ).

fof(c_0_5754,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3552]) ).

fof(c_0_5755,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3553]) ).

fof(c_0_5756,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3554]) ).

fof(c_0_5757,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3555]) ).

fof(c_0_5758,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3556]) ).

fof(c_0_5759,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3557]) ).

fof(c_0_5760,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3558]) ).

fof(c_0_5761,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3559]) ).

fof(c_0_5762,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3560]) ).

fof(c_0_5763,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3561]) ).

fof(c_0_5764,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3562]) ).

fof(c_0_5765,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3563]) ).

fof(c_0_5766,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3564]) ).

fof(c_0_5767,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3565]) ).

fof(c_0_5768,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3566]) ).

fof(c_0_5769,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3567]) ).

fof(c_0_5770,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3568]) ).

fof(c_0_5771,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3569]) ).

fof(c_0_5772,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3570]) ).

fof(c_0_5773,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3571]) ).

fof(c_0_5774,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3572]) ).

fof(c_0_5775,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3573]) ).

fof(c_0_5776,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3574]) ).

fof(c_0_5777,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3575]) ).

fof(c_0_5778,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3576]) ).

fof(c_0_5779,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3577]) ).

fof(c_0_5780,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3578]) ).

fof(c_0_5781,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3579]) ).

fof(c_0_5782,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3580]) ).

fof(c_0_5783,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3581]) ).

fof(c_0_5784,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3582]) ).

fof(c_0_5785,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3583]) ).

fof(c_0_5786,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3584]) ).

fof(c_0_5787,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3585]) ).

fof(c_0_5788,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3586]) ).

fof(c_0_5789,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3587]) ).

fof(c_0_5790,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3588]) ).

fof(c_0_5791,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3589]) ).

fof(c_0_5792,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3590]) ).

fof(c_0_5793,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3591]) ).

fof(c_0_5794,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3592]) ).

fof(c_0_5795,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3593]) ).

fof(c_0_5796,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3594]) ).

fof(c_0_5797,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3595]) ).

fof(c_0_5798,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3596]) ).

fof(c_0_5799,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3597]) ).

fof(c_0_5800,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3598]) ).

fof(c_0_5801,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3599]) ).

fof(c_0_5802,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3600]) ).

fof(c_0_5803,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3601]) ).

fof(c_0_5804,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3602]) ).

fof(c_0_5805,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3603]) ).

fof(c_0_5806,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3604]) ).

fof(c_0_5807,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3605]) ).

fof(c_0_5808,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3606]) ).

fof(c_0_5809,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3607]) ).

fof(c_0_5810,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3608]) ).

fof(c_0_5811,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3609]) ).

fof(c_0_5812,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3610]) ).

fof(c_0_5813,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3611]) ).

fof(c_0_5814,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3612]) ).

fof(c_0_5815,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3613]) ).

fof(c_0_5816,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3614]) ).

fof(c_0_5817,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__join(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3615]) ).

fof(c_0_5818,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3616]) ).

fof(c_0_5819,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3617]) ).

fof(c_0_5820,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3618]) ).

fof(c_0_5821,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3619]) ).

fof(c_0_5822,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3620]) ).

fof(c_0_5823,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3621]) ).

fof(c_0_5824,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3622]) ).

fof(c_0_5825,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3623]) ).

fof(c_0_5826,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3624]) ).

fof(c_0_5827,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3625]) ).

fof(c_0_5828,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3626]) ).

fof(c_0_5829,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3627]) ).

fof(c_0_5830,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3628]) ).

fof(c_0_5831,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3629]) ).

fof(c_0_5832,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3630]) ).

fof(c_0_5833,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3631]) ).

fof(c_0_5834,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3632]) ).

fof(c_0_5835,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3633]) ).

fof(c_0_5836,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3634]) ).

fof(c_0_5837,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Omonoid__mult(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3635]) ).

fof(c_0_5838,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Omonoid__mult(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3636]) ).

fof(c_0_5839,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Omonoid__mult(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3637]) ).

fof(c_0_5840,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3638]) ).

fof(c_0_5841,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3639]) ).

fof(c_0_5842,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3640]) ).

fof(c_0_5843,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3641]) ).

fof(c_0_5844,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3642]) ).

fof(c_0_5845,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3643]) ).

fof(c_0_5846,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3644]) ).

fof(c_0_5847,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3645]) ).

fof(c_0_5848,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3646]) ).

fof(c_0_5849,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3647]) ).

fof(c_0_5850,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3648]) ).

fof(c_0_5851,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3649]) ).

fof(c_0_5852,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3650]) ).

fof(c_0_5853,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3651]) ).

fof(c_0_5854,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3652]) ).

fof(c_0_5855,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3653]) ).

fof(c_0_5856,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3654]) ).

fof(c_0_5857,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3655]) ).

fof(c_0_5858,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3656]) ).

fof(c_0_5859,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3657]) ).

fof(c_0_5860,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3658]) ).

fof(c_0_5861,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3659]) ).

fof(c_0_5862,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3660]) ).

fof(c_0_5863,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3661]) ).

fof(c_0_5864,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3662]) ).

fof(c_0_5865,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3663]) ).

fof(c_0_5866,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3664]) ).

fof(c_0_5867,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3665]) ).

fof(c_0_5868,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3666]) ).

fof(c_0_5869,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3667]) ).

fof(c_0_5870,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3668]) ).

fof(c_0_5871,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3669]) ).

fof(c_0_5872,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3670]) ).

fof(c_0_5873,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3671]) ).

fof(c_0_5874,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3672]) ).

fof(c_0_5875,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3673]) ).

fof(c_0_5876,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3674]) ).

fof(c_0_5877,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3675]) ).

fof(c_0_5878,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3676]) ).

fof(c_0_5879,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3677]) ).

fof(c_0_5880,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3678]) ).

fof(c_0_5881,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3679]) ).

fof(c_0_5882,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3680]) ).

fof(c_0_5883,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3681]) ).

fof(c_0_5884,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3682]) ).

fof(c_0_5885,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3683]) ).

fof(c_0_5886,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3684]) ).

fof(c_0_5887,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3685]) ).

fof(c_0_5888,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3686]) ).

fof(c_0_5889,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3687]) ).

fof(c_0_5890,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Osemigroup__add(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3688]) ).

fof(c_0_5891,plain,
    ! [X88] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3689]) ).

fof(c_0_5892,plain,
    ! [X88] :
      ( ~ class_Orderings_Olinorder(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3690]) ).

fof(c_0_5893,plain,
    ! [X88] :
      ( ~ class_Orderings_Olinorder(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3691]) ).

fof(c_0_5894,plain,
    ! [X88] :
      ( ~ class_Orderings_Olinorder(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3692]) ).

fof(c_0_5895,plain,
    ! [X88] :
      ( ~ class_Orderings_Olinorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3693]) ).

fof(c_0_5896,plain,
    ! [X88] :
      ( ~ class_Orderings_Olinorder(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3694]) ).

fof(c_0_5897,plain,
    ! [X88] :
      ( ~ class_Orderings_Oorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3695]) ).

fof(c_0_5898,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Nat_Opower(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3696]) ).

fof(c_0_5899,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3697]) ).

fof(c_0_5900,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3698]) ).

fof(c_0_5901,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3699]) ).

fof(c_0_5902,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3700]) ).

fof(c_0_5903,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3701]) ).

fof(c_0_5904,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3702]) ).

fof(c_0_5905,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3703]) ).

fof(c_0_5906,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3704]) ).

fof(c_0_5907,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3705]) ).

fof(c_0_5908,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3706]) ).

fof(c_0_5909,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3707]) ).

fof(c_0_5910,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3708]) ).

fof(c_0_5911,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3709]) ).

fof(c_0_5912,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3710]) ).

fof(c_0_5913,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3711]) ).

fof(c_0_5914,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3712]) ).

fof(c_0_5915,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3713]) ).

fof(c_0_5916,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3714]) ).

fof(c_0_5917,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3715]) ).

fof(c_0_5918,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3716]) ).

fof(c_0_5919,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3717]) ).

fof(c_0_5920,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3718]) ).

fof(c_0_5921,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3719]) ).

fof(c_0_5922,plain,
    ! [X88] :
      ( ~ class_Power_Orecpower(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3720]) ).

fof(c_0_5923,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3721]) ).

fof(c_0_5924,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3722]) ).

fof(c_0_5925,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3723]) ).

fof(c_0_5926,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3724]) ).

fof(c_0_5927,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3725]) ).

fof(c_0_5928,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3726]) ).

fof(c_0_5929,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3727]) ).

fof(c_0_5930,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3728]) ).

fof(c_0_5931,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3729]) ).

fof(c_0_5932,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3730]) ).

fof(c_0_5933,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3731]) ).

fof(c_0_5934,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3732]) ).

fof(c_0_5935,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3733]) ).

fof(c_0_5936,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3734]) ).

fof(c_0_5937,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3735]) ).

fof(c_0_5938,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3736]) ).

fof(c_0_5939,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3737]) ).

fof(c_0_5940,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3738]) ).

fof(c_0_5941,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3739]) ).

fof(c_0_5942,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3740]) ).

fof(c_0_5943,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3741]) ).

fof(c_0_5944,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3742]) ).

fof(c_0_5945,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3743]) ).

fof(c_0_5946,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3744]) ).

fof(c_0_5947,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3745]) ).

fof(c_0_5948,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3746]) ).

fof(c_0_5949,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3747]) ).

fof(c_0_5950,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3748]) ).

fof(c_0_5951,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3749]) ).

fof(c_0_5952,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3750]) ).

fof(c_0_5953,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3751]) ).

fof(c_0_5954,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3752]) ).

fof(c_0_5955,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3753]) ).

fof(c_0_5956,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3754]) ).

fof(c_0_5957,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3755]) ).

fof(c_0_5958,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3756]) ).

fof(c_0_5959,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3757]) ).

fof(c_0_5960,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3758]) ).

fof(c_0_5961,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3759]) ).

fof(c_0_5962,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3760]) ).

fof(c_0_5963,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3761]) ).

fof(c_0_5964,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3762]) ).

fof(c_0_5965,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3763]) ).

fof(c_0_5966,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3764]) ).

fof(c_0_5967,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3765]) ).

fof(c_0_5968,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3766]) ).

fof(c_0_5969,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3767]) ).

fof(c_0_5970,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3768]) ).

fof(c_0_5971,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3769]) ).

fof(c_0_5972,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3770]) ).

fof(c_0_5973,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3771]) ).

fof(c_0_5974,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3772]) ).

fof(c_0_5975,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3773]) ).

fof(c_0_5976,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3774]) ).

fof(c_0_5977,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3775]) ).

fof(c_0_5978,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3776]) ).

fof(c_0_5979,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3777]) ).

fof(c_0_5980,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3778]) ).

fof(c_0_5981,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3779]) ).

fof(c_0_5982,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3780]) ).

fof(c_0_5983,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3781]) ).

fof(c_0_5984,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3782]) ).

fof(c_0_5985,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3783]) ).

fof(c_0_5986,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3784]) ).

fof(c_0_5987,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3785]) ).

fof(c_0_5988,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3786]) ).

fof(c_0_5989,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3787]) ).

fof(c_0_5990,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3788]) ).

fof(c_0_5991,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3789]) ).

fof(c_0_5992,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3790]) ).

fof(c_0_5993,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3791]) ).

fof(c_0_5994,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3792]) ).

fof(c_0_5995,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3793]) ).

fof(c_0_5996,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3794]) ).

fof(c_0_5997,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3795]) ).

fof(c_0_5998,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3796]) ).

fof(c_0_5999,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3797]) ).

fof(c_0_6000,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3798]) ).

fof(c_0_6001,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3799]) ).

fof(c_0_6002,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3800]) ).

fof(c_0_6003,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3801]) ).

fof(c_0_6004,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3802]) ).

fof(c_0_6005,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3803]) ).

fof(c_0_6006,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3804]) ).

fof(c_0_6007,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3805]) ).

fof(c_0_6008,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3806]) ).

fof(c_0_6009,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3807]) ).

fof(c_0_6010,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3808]) ).

fof(c_0_6011,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3809]) ).

fof(c_0_6012,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3810]) ).

fof(c_0_6013,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3811]) ).

fof(c_0_6014,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3812]) ).

fof(c_0_6015,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3813]) ).

fof(c_0_6016,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3814]) ).

fof(c_0_6017,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3815]) ).

fof(c_0_6018,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3816]) ).

fof(c_0_6019,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3817]) ).

fof(c_0_6020,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3818]) ).

fof(c_0_6021,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3819]) ).

fof(c_0_6022,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3820]) ).

fof(c_0_6023,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3821]) ).

fof(c_0_6024,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3822]) ).

fof(c_0_6025,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3823]) ).

fof(c_0_6026,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3824]) ).

fof(c_0_6027,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3825]) ).

fof(c_0_6028,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3826]) ).

fof(c_0_6029,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3827]) ).

fof(c_0_6030,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3828]) ).

fof(c_0_6031,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3829]) ).

fof(c_0_6032,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3830]) ).

fof(c_0_6033,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3831]) ).

fof(c_0_6034,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3832]) ).

fof(c_0_6035,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3833]) ).

fof(c_0_6036,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3834]) ).

fof(c_0_6037,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3835]) ).

fof(c_0_6038,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3836]) ).

fof(c_0_6039,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3837]) ).

fof(c_0_6040,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3838]) ).

fof(c_0_6041,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3839]) ).

fof(c_0_6042,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3840]) ).

fof(c_0_6043,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3841]) ).

fof(c_0_6044,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3842]) ).

fof(c_0_6045,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3843]) ).

fof(c_0_6046,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3844]) ).

fof(c_0_6047,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3845]) ).

fof(c_0_6048,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3846]) ).

fof(c_0_6049,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3847]) ).

fof(c_0_6050,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3848]) ).

fof(c_0_6051,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3849]) ).

fof(c_0_6052,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X88)
      | class_HOL_Oinverse(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3850]) ).

fof(c_0_6053,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__ring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3851]) ).

fof(c_0_6054,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3852]) ).

fof(c_0_6055,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3853]) ).

fof(c_0_6056,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3854]) ).

fof(c_0_6057,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3855]) ).

fof(c_0_6058,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3856]) ).

fof(c_0_6059,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3857]) ).

fof(c_0_6060,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3858]) ).

fof(c_0_6061,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3859]) ).

fof(c_0_6062,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3860]) ).

fof(c_0_6063,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3861]) ).

fof(c_0_6064,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3862]) ).

fof(c_0_6065,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3863]) ).

fof(c_0_6066,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3864]) ).

fof(c_0_6067,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3865]) ).

fof(c_0_6068,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3866]) ).

fof(c_0_6069,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3867]) ).

fof(c_0_6070,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3868]) ).

fof(c_0_6071,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3869]) ).

fof(c_0_6072,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3870]) ).

fof(c_0_6073,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3871]) ).

fof(c_0_6074,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3872]) ).

fof(c_0_6075,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3873]) ).

fof(c_0_6076,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3874]) ).

fof(c_0_6077,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Oinverse(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3875]) ).

fof(c_0_6078,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Oidom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3876]) ).

fof(c_0_6079,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3877]) ).

fof(c_0_6080,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3878]) ).

fof(c_0_6081,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3879]) ).

fof(c_0_6082,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3880]) ).

fof(c_0_6083,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3881]) ).

fof(c_0_6084,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3882]) ).

fof(c_0_6085,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Ofield(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3883]) ).

fof(c_0_6086,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__ring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3884]) ).

fof(c_0_6087,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3885]) ).

fof(c_0_6088,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3886]) ).

fof(c_0_6089,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3887]) ).

fof(c_0_6090,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3888]) ).

fof(c_0_6091,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3889]) ).

fof(c_0_6092,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3890]) ).

fof(c_0_6093,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3891]) ).

fof(c_0_6094,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3892]) ).

fof(c_0_6095,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3893]) ).

fof(c_0_6096,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3894]) ).

fof(c_0_6097,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3895]) ).

fof(c_0_6098,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3896]) ).

fof(c_0_6099,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3897]) ).

fof(c_0_6100,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3898]) ).

fof(c_0_6101,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3899]) ).

fof(c_0_6102,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3900]) ).

fof(c_0_6103,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3901]) ).

fof(c_0_6104,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3902]) ).

fof(c_0_6105,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3903]) ).

fof(c_0_6106,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3904]) ).

fof(c_0_6107,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3905]) ).

fof(c_0_6108,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3906]) ).

fof(c_0_6109,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3907]) ).

fof(c_0_6110,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3908]) ).

fof(c_0_6111,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3909]) ).

fof(c_0_6112,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3910]) ).

fof(c_0_6113,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3911]) ).

fof(c_0_6114,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3912]) ).

fof(c_0_6115,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3913]) ).

fof(c_0_6116,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oidom(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3914]) ).

fof(c_0_6117,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Opordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3915]) ).

fof(c_0_6118,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3916]) ).

fof(c_0_6119,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3917]) ).

fof(c_0_6120,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3918]) ).

fof(c_0_6121,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3919]) ).

fof(c_0_6122,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3920]) ).

fof(c_0_6123,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3921]) ).

fof(c_0_6124,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3922]) ).

fof(c_0_6125,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3923]) ).

fof(c_0_6126,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3924]) ).

fof(c_0_6127,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3925]) ).

fof(c_0_6128,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3926]) ).

fof(c_0_6129,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3927]) ).

fof(c_0_6130,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3928]) ).

fof(c_0_6131,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3929]) ).

fof(c_0_6132,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3930]) ).

fof(c_0_6133,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3931]) ).

fof(c_0_6134,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Olordered__ab__group__abs(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3932]) ).

fof(c_0_6135,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3933]) ).

fof(c_0_6136,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3934]) ).

fof(c_0_6137,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3935]) ).

fof(c_0_6138,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3936]) ).

fof(c_0_6139,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Olordered__ab__group__meet(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3937]) ).

fof(c_0_6140,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3938]) ).

fof(c_0_6141,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Olordered__ab__group__join(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3939]) ).

fof(c_0_6142,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3940]) ).

fof(c_0_6143,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3941]) ).

fof(c_0_6144,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3942]) ).

fof(c_0_6145,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3943]) ).

fof(c_0_6146,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3944]) ).

fof(c_0_6147,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Olordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3945]) ).

fof(c_0_6148,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3946]) ).

fof(c_0_6149,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3947]) ).

fof(c_0_6150,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3948]) ).

fof(c_0_6151,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3949]) ).

fof(c_0_6152,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3950]) ).

fof(c_0_6153,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3951]) ).

fof(c_0_6154,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3952]) ).

fof(c_0_6155,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3953]) ).

fof(c_0_6156,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3954]) ).

fof(c_0_6157,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3955]) ).

fof(c_0_6158,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3956]) ).

fof(c_0_6159,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3957]) ).

fof(c_0_6160,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3958]) ).

fof(c_0_6161,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3959]) ).

fof(c_0_6162,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3960]) ).

fof(c_0_6163,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3961]) ).

fof(c_0_6164,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3962]) ).

fof(c_0_6165,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Oordered__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3963]) ).

fof(c_0_6166,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3964]) ).

fof(c_0_6167,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3965]) ).

fof(c_0_6168,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3966]) ).

fof(c_0_6169,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3967]) ).

fof(c_0_6170,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3968]) ).

fof(c_0_6171,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3969]) ).

fof(c_0_6172,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3970]) ).

fof(c_0_6173,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3971]) ).

fof(c_0_6174,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3972]) ).

fof(c_0_6175,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3973]) ).

fof(c_0_6176,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3974]) ).

fof(c_0_6177,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3975]) ).

fof(c_0_6178,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ofield(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3976]) ).

fof(c_0_6179,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Oinverse(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3977]) ).

fof(c_0_6180,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3978]) ).

fof(c_0_6181,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3979]) ).

fof(c_0_6182,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3980]) ).

fof(c_0_6183,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3981]) ).

fof(c_0_6184,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3982]) ).

fof(c_0_6185,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3983]) ).

fof(c_0_6186,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3984]) ).

fof(c_0_6187,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3985]) ).

fof(c_0_6188,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3986]) ).

fof(c_0_6189,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3987]) ).

fof(c_0_6190,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oidom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3988]) ).

fof(c_0_6191,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3989]) ).

fof(c_0_6192,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3990]) ).

fof(c_0_6193,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3991]) ).

fof(c_0_6194,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3992]) ).

fof(c_0_6195,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3993]) ).

fof(c_0_6196,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3994]) ).

fof(c_0_6197,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3995]) ).

fof(c_0_6198,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3996]) ).

fof(c_0_6199,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3997]) ).

fof(c_0_6200,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3998]) ).

fof(c_0_6201,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__ring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_3999]) ).

fof(c_0_6202,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4000]) ).

fof(c_0_6203,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4001]) ).

fof(c_0_6204,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4002]) ).

fof(c_0_6205,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4003]) ).

fof(c_0_6206,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oordered__idom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4004]) ).

fof(c_0_6207,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4005]) ).

fof(c_0_6208,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4006]) ).

fof(c_0_6209,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4007]) ).

fof(c_0_6210,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oordered__ring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4008]) ).

fof(c_0_6211,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oordered__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4009]) ).

fof(c_0_6212,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4010]) ).

fof(c_0_6213,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4011]) ).

fof(c_0_6214,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4012]) ).

fof(c_0_6215,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oaxclass__abs__if(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4013]) ).

fof(c_0_6216,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Olordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4014]) ).

fof(c_0_6217,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Opordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4015]) ).

fof(c_0_6218,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4016]) ).

fof(c_0_6219,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4017]) ).

fof(c_0_6220,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Olordered__ab__group__abs(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4018]) ).

fof(c_0_6221,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Olordered__ab__group__meet(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4019]) ).

fof(c_0_6222,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Olordered__ab__group__join(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4020]) ).

fof(c_0_6223,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4021]) ).

fof(c_0_6224,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4022]) ).

fof(c_0_6225,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4023]) ).

fof(c_0_6226,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4024]) ).

fof(c_0_6227,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4025]) ).

fof(c_0_6228,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4026]) ).

fof(c_0_6229,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4027]) ).

fof(c_0_6230,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4028]) ).

fof(c_0_6231,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4029]) ).

fof(c_0_6232,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4030]) ).

fof(c_0_6233,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4031]) ).

fof(c_0_6234,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4032]) ).

fof(c_0_6235,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Oordered__semidom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4033]) ).

fof(c_0_6236,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4034]) ).

fof(c_0_6237,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4035]) ).

fof(c_0_6238,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__field(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4036]) ).

fof(c_0_6239,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__ring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4037]) ).

fof(c_0_6240,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4038]) ).

fof(c_0_6241,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4039]) ).

fof(c_0_6242,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4040]) ).

fof(c_0_6243,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4041]) ).

fof(c_0_6244,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4042]) ).

fof(c_0_6245,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4043]) ).

fof(c_0_6246,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4044]) ).

fof(c_0_6247,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4045]) ).

fof(c_0_6248,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4046]) ).

fof(c_0_6249,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4047]) ).

fof(c_0_6250,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4048]) ).

fof(c_0_6251,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4049]) ).

fof(c_0_6252,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4050]) ).

fof(c_0_6253,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4051]) ).

fof(c_0_6254,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4052]) ).

fof(c_0_6255,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4053]) ).

fof(c_0_6256,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4054]) ).

fof(c_0_6257,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4055]) ).

fof(c_0_6258,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4056]) ).

fof(c_0_6259,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4057]) ).

fof(c_0_6260,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4058]) ).

fof(c_0_6261,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4059]) ).

fof(c_0_6262,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4060]) ).

fof(c_0_6263,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4061]) ).

fof(c_0_6264,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oordered__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4062]) ).

fof(c_0_6265,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4063]) ).

fof(c_0_6266,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4064]) ).

fof(c_0_6267,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4065]) ).

fof(c_0_6268,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4066]) ).

fof(c_0_6269,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4067]) ).

fof(c_0_6270,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4068]) ).

fof(c_0_6271,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4069]) ).

fof(c_0_6272,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4070]) ).

fof(c_0_6273,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4071]) ).

fof(c_0_6274,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4072]) ).

fof(c_0_6275,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4073]) ).

fof(c_0_6276,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4074]) ).

fof(c_0_6277,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4075]) ).

fof(c_0_6278,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4076]) ).

fof(c_0_6279,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4077]) ).

fof(c_0_6280,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oaxclass__abs__if(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4078]) ).

fof(c_0_6281,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oordered__ring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4079]) ).

fof(c_0_6282,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Olordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4080]) ).

fof(c_0_6283,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Opordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4081]) ).

fof(c_0_6284,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4082]) ).

fof(c_0_6285,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Olordered__ab__group__abs(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4083]) ).

fof(c_0_6286,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Olordered__ab__group__meet(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4084]) ).

fof(c_0_6287,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Olordered__ab__group__join(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4085]) ).

fof(c_0_6288,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4086]) ).

fof(c_0_6289,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4087]) ).

fof(c_0_6290,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oordered__semidom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4088]) ).

fof(c_0_6291,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4089]) ).

fof(c_0_6292,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Oidom(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4090]) ).

fof(c_0_6293,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4091]) ).

fof(c_0_6294,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4092]) ).

fof(c_0_6295,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4093]) ).

fof(c_0_6296,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__idom(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4094]) ).

fof(c_0_6297,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4095]) ).

fof(c_0_6298,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4096]) ).

fof(c_0_6299,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4097]) ).

fof(c_0_6300,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4098]) ).

fof(c_0_6301,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4099]) ).

fof(c_0_6302,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4100]) ).

fof(c_0_6303,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4101]) ).

fof(c_0_6304,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Oordered__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4102]) ).

fof(c_0_6305,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4103]) ).

fof(c_0_6306,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4104]) ).

fof(c_0_6307,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4105]) ).

fof(c_0_6308,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4106]) ).

fof(c_0_6309,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4107]) ).

fof(c_0_6310,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4108]) ).

fof(c_0_6311,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4109]) ).

fof(c_0_6312,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4110]) ).

fof(c_0_6313,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4111]) ).

fof(c_0_6314,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4112]) ).

fof(c_0_6315,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4113]) ).

fof(c_0_6316,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4114]) ).

fof(c_0_6317,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4115]) ).

fof(c_0_6318,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Oaxclass__abs__if(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4116]) ).

fof(c_0_6319,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Olordered__ab__group(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4117]) ).

fof(c_0_6320,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4118]) ).

fof(c_0_6321,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4119]) ).

fof(c_0_6322,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Olordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4120]) ).

fof(c_0_6323,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Opordered__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4121]) ).

fof(c_0_6324,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Olordered__ab__group__abs(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4122]) ).

fof(c_0_6325,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Olordered__ab__group__meet(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4123]) ).

fof(c_0_6326,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Olordered__ab__group__join(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4124]) ).

fof(c_0_6327,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4125]) ).

fof(c_0_6328,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4126]) ).

fof(c_0_6329,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4127]) ).

fof(c_0_6330,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4128]) ).

fof(c_0_6331,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4129]) ).

fof(c_0_6332,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4130]) ).

fof(c_0_6333,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4131]) ).

fof(c_0_6334,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4132]) ).

fof(c_0_6335,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4133]) ).

fof(c_0_6336,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4134]) ).

fof(c_0_6337,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4135]) ).

fof(c_0_6338,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4136]) ).

fof(c_0_6339,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4137]) ).

fof(c_0_6340,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4138]) ).

fof(c_0_6341,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4139]) ).

fof(c_0_6342,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4140]) ).

fof(c_0_6343,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4141]) ).

fof(c_0_6344,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4142]) ).

fof(c_0_6345,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4143]) ).

fof(c_0_6346,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Ocomm__monoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4144]) ).

fof(c_0_6347,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4145]) ).

fof(c_0_6348,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4146]) ).

fof(c_0_6349,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4147]) ).

fof(c_0_6350,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4148]) ).

fof(c_0_6351,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Oordered__comm__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4149]) ).

fof(c_0_6352,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Oordered__semiring__strict(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4150]) ).

fof(c_0_6353,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4151]) ).

fof(c_0_6354,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4152]) ).

fof(c_0_6355,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4153]) ).

fof(c_0_6356,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4154]) ).

fof(c_0_6357,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4155]) ).

fof(c_0_6358,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4156]) ).

fof(c_0_6359,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4157]) ).

fof(c_0_6360,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4158]) ).

fof(c_0_6361,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4159]) ).

fof(c_0_6362,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4160]) ).

fof(c_0_6363,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4161]) ).

fof(c_0_6364,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4162]) ).

fof(c_0_6365,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4163]) ).

fof(c_0_6366,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4164]) ).

fof(c_0_6367,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4165]) ).

fof(c_0_6368,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4166]) ).

fof(c_0_6369,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4167]) ).

fof(c_0_6370,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4168]) ).

fof(c_0_6371,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4169]) ).

fof(c_0_6372,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4170]) ).

fof(c_0_6373,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4171]) ).

fof(c_0_6374,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4172]) ).

fof(c_0_6375,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4173]) ).

fof(c_0_6376,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4174]) ).

fof(c_0_6377,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4175]) ).

fof(c_0_6378,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4176]) ).

fof(c_0_6379,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4177]) ).

fof(c_0_6380,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4178]) ).

fof(c_0_6381,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4179]) ).

fof(c_0_6382,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4180]) ).

fof(c_0_6383,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4181]) ).

fof(c_0_6384,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4182]) ).

fof(c_0_6385,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4183]) ).

fof(c_0_6386,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4184]) ).

fof(c_0_6387,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4185]) ).

fof(c_0_6388,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4186]) ).

fof(c_0_6389,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4187]) ).

fof(c_0_6390,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4188]) ).

fof(c_0_6391,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4189]) ).

fof(c_0_6392,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4190]) ).

fof(c_0_6393,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4191]) ).

fof(c_0_6394,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4192]) ).

fof(c_0_6395,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4193]) ).

fof(c_0_6396,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4194]) ).

fof(c_0_6397,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X88)
      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4195]) ).

fof(c_0_6398,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4196]) ).

fof(c_0_6399,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4197]) ).

fof(c_0_6400,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4198]) ).

fof(c_0_6401,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4199]) ).

fof(c_0_6402,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4200]) ).

fof(c_0_6403,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4201]) ).

fof(c_0_6404,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4202]) ).

fof(c_0_6405,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4203]) ).

fof(c_0_6406,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4204]) ).

fof(c_0_6407,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4205]) ).

fof(c_0_6408,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4206]) ).

fof(c_0_6409,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4207]) ).

fof(c_0_6410,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4208]) ).

fof(c_0_6411,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4209]) ).

fof(c_0_6412,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4210]) ).

fof(c_0_6413,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4211]) ).

fof(c_0_6414,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4212]) ).

fof(c_0_6415,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4213]) ).

fof(c_0_6416,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4214]) ).

fof(c_0_6417,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4215]) ).

fof(c_0_6418,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4216]) ).

fof(c_0_6419,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4217]) ).

fof(c_0_6420,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4218]) ).

fof(c_0_6421,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4219]) ).

fof(c_0_6422,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4220]) ).

fof(c_0_6423,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4221]) ).

fof(c_0_6424,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4222]) ).

fof(c_0_6425,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4223]) ).

fof(c_0_6426,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4224]) ).

fof(c_0_6427,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4225]) ).

fof(c_0_6428,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4226]) ).

fof(c_0_6429,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4227]) ).

fof(c_0_6430,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4228]) ).

fof(c_0_6431,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4229]) ).

fof(c_0_6432,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4230]) ).

fof(c_0_6433,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4231]) ).

fof(c_0_6434,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4232]) ).

fof(c_0_6435,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Ocomm__ring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4233]) ).

fof(c_0_6436,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4234]) ).

fof(c_0_6437,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4235]) ).

fof(c_0_6438,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4236]) ).

fof(c_0_6439,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4237]) ).

fof(c_0_6440,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4238]) ).

fof(c_0_6441,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4239]) ).

fof(c_0_6442,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4240]) ).

fof(c_0_6443,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4241]) ).

fof(c_0_6444,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4242]) ).

fof(c_0_6445,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4243]) ).

fof(c_0_6446,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4244]) ).

fof(c_0_6447,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4245]) ).

fof(c_0_6448,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Opordered__comm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4246]) ).

fof(c_0_6449,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4247]) ).

fof(c_0_6450,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4248]) ).

fof(c_0_6451,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4249]) ).

fof(c_0_6452,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4250]) ).

fof(c_0_6453,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4251]) ).

fof(c_0_6454,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4252]) ).

fof(c_0_6455,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4253]) ).

fof(c_0_6456,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4254]) ).

fof(c_0_6457,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4255]) ).

fof(c_0_6458,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4256]) ).

fof(c_0_6459,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__ring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4257]) ).

fof(c_0_6460,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Ring__and__Field_Ocomm__semiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4258]) ).

fof(c_0_6461,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Ring__and__Field_Ocomm__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4259]) ).

fof(c_0_6462,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4260]) ).

fof(c_0_6463,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4261]) ).

fof(c_0_6464,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4262]) ).

fof(c_0_6465,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4263]) ).

fof(c_0_6466,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4264]) ).

fof(c_0_6467,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4265]) ).

fof(c_0_6468,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4266]) ).

fof(c_0_6469,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4267]) ).

fof(c_0_6470,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4268]) ).

fof(c_0_6471,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4269]) ).

fof(c_0_6472,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4270]) ).

fof(c_0_6473,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4271]) ).

fof(c_0_6474,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4272]) ).

fof(c_0_6475,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4273]) ).

fof(c_0_6476,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4274]) ).

fof(c_0_6477,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4275]) ).

fof(c_0_6478,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4276]) ).

fof(c_0_6479,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4277]) ).

fof(c_0_6480,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4278]) ).

fof(c_0_6481,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4279]) ).

fof(c_0_6482,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4280]) ).

fof(c_0_6483,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Opordered__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4281]) ).

fof(c_0_6484,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4282]) ).

fof(c_0_6485,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4283]) ).

fof(c_0_6486,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4284]) ).

fof(c_0_6487,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4285]) ).

fof(c_0_6488,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4286]) ).

fof(c_0_6489,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4287]) ).

fof(c_0_6490,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4288]) ).

fof(c_0_6491,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Opordered__cancel__semiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4289]) ).

fof(c_0_6492,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4290]) ).

fof(c_0_6493,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4291]) ).

fof(c_0_6494,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4292]) ).

fof(c_0_6495,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4293]) ).

fof(c_0_6496,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4294]) ).

fof(c_0_6497,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4295]) ).

fof(c_0_6498,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__ring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4296]) ).

fof(c_0_6499,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4297]) ).

fof(c_0_6500,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4298]) ).

fof(c_0_6501,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4299]) ).

fof(c_0_6502,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4300]) ).

fof(c_0_6503,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4301]) ).

fof(c_0_6504,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4302]) ).

fof(c_0_6505,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4303]) ).

fof(c_0_6506,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4304]) ).

fof(c_0_6507,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4305]) ).

fof(c_0_6508,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4306]) ).

fof(c_0_6509,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4307]) ).

fof(c_0_6510,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X88)
      | class_OrderedGroup_Opordered__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4308]) ).

fof(c_0_6511,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4309]) ).

fof(c_0_6512,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4310]) ).

fof(c_0_6513,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4311]) ).

fof(c_0_6514,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4312]) ).

fof(c_0_6515,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4313]) ).

fof(c_0_6516,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4314]) ).

fof(c_0_6517,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4315]) ).

fof(c_0_6518,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4316]) ).

fof(c_0_6519,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4317]) ).

fof(c_0_6520,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4318]) ).

fof(c_0_6521,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4319]) ).

fof(c_0_6522,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4320]) ).

fof(c_0_6523,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4321]) ).

fof(c_0_6524,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4322]) ).

fof(c_0_6525,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Oring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4323]) ).

fof(c_0_6526,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Oab__group__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4324]) ).

fof(c_0_6527,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4325]) ).

fof(c_0_6528,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4326]) ).

fof(c_0_6529,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4327]) ).

fof(c_0_6530,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4328]) ).

fof(c_0_6531,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4329]) ).

fof(c_0_6532,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4330]) ).

fof(c_0_6533,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4331]) ).

fof(c_0_6534,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4332]) ).

fof(c_0_6535,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4333]) ).

fof(c_0_6536,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Osemiring__1__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4334]) ).

fof(c_0_6537,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_HOL_Ominus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4335]) ).

fof(c_0_6538,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4336]) ).

fof(c_0_6539,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4337]) ).

fof(c_0_6540,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4338]) ).

fof(c_0_6541,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4339]) ).

fof(c_0_6542,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4340]) ).

fof(c_0_6543,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4341]) ).

fof(c_0_6544,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Oring__1(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4342]) ).

fof(c_0_6545,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4343]) ).

fof(c_0_6546,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4344]) ).

fof(c_0_6547,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4345]) ).

fof(c_0_6548,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4346]) ).

fof(c_0_6549,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4347]) ).

fof(c_0_6550,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4348]) ).

fof(c_0_6551,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4349]) ).

fof(c_0_6552,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4350]) ).

fof(c_0_6553,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4351]) ).

fof(c_0_6554,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4352]) ).

fof(c_0_6555,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4353]) ).

fof(c_0_6556,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4354]) ).

fof(c_0_6557,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4355]) ).

fof(c_0_6558,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4356]) ).

fof(c_0_6559,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4357]) ).

fof(c_0_6560,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4358]) ).

fof(c_0_6561,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4359]) ).

fof(c_0_6562,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4360]) ).

fof(c_0_6563,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4361]) ).

fof(c_0_6564,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4362]) ).

fof(c_0_6565,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4363]) ).

fof(c_0_6566,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4364]) ).

fof(c_0_6567,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4365]) ).

fof(c_0_6568,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4366]) ).

fof(c_0_6569,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4367]) ).

fof(c_0_6570,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4368]) ).

fof(c_0_6571,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4369]) ).

fof(c_0_6572,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4370]) ).

fof(c_0_6573,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4371]) ).

fof(c_0_6574,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4372]) ).

fof(c_0_6575,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4373]) ).

fof(c_0_6576,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4374]) ).

fof(c_0_6577,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4375]) ).

fof(c_0_6578,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4376]) ).

fof(c_0_6579,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4377]) ).

fof(c_0_6580,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4378]) ).

fof(c_0_6581,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4379]) ).

fof(c_0_6582,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_Ring__and__Field_Oaxclass__0__neq__1(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4380]) ).

fof(c_0_6583,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_HOL_Oone(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4381]) ).

fof(c_0_6584,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Osemigroup__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4382]) ).

fof(c_0_6585,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_HOL_Otimes(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4383]) ).

fof(c_0_6586,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Ocancel__ab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4384]) ).

fof(c_0_6587,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Ocancel__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4385]) ).

fof(c_0_6588,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__0__cancel(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4386]) ).

fof(c_0_6589,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring__0(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4387]) ).

fof(c_0_6590,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_Ring__and__Field_Osemiring(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4388]) ).

fof(c_0_6591,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Ocomm__monoid__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4389]) ).

fof(c_0_6592,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_HOL_Ozero(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4390]) ).

fof(c_0_6593,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Oab__semigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4391]) ).

fof(c_0_6594,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Osemigroup__add(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4392]) ).

fof(c_0_6595,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_HOL_Oplus(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4393]) ).

fof(c_0_6596,plain,
    ! [X88] :
      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X88)
      | class_OrderedGroup_Omonoid__mult(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4394]) ).

fof(c_0_6597,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_Orderings_Oord(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4395]) ).

fof(c_0_6598,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_Orderings_Oorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4396]) ).

fof(c_0_6599,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_LOrder_Omeet__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4397]) ).

fof(c_0_6600,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_LOrder_Ojoin__semilorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4398]) ).

fof(c_0_6601,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_LOrder_Olorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4399]) ).

fof(c_0_6602,plain,
    ! [X88] :
      ( ~ class_Wellfounded__Recursion_Owellorder(X88)
      | class_Orderings_Olinorder(X88) ),
    inference(variable_rename,[status(thm)],[c_0_4400]) ).

fof(c_0_6603,plain,
    ! [X54] :
      ( c_IntDef_Oint(X54) != c_0
      | X54 = c_0 ),
    inference(variable_rename,[status(thm)],[c_0_4401]) ).

fof(c_0_6604,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X51)
      | c_0 != c_1 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_4402])])]) ).

fof(c_0_6605,plain,
    ! [X51] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X51)
      | c_1 != c_0 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_4403])])]) ).

cnf(c_0_6606,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_4404]) ).

cnf(c_0_6607,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_4405]) ).

cnf(c_0_6608,plain,
    ( X1 = c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5)
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_4406]) ).

cnf(c_0_6609,plain,
    ( X1 = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4407]) ).

cnf(c_0_6610,plain,
    ( X1 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X2,X3,X4,X1)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(v_sko__2Va(X2,X3,X4,X1),c_Message_Omsg_ONonce(X4))))),v_sko__2Vb(X2,X3,X4,X1))
    | c_Yahalom_OKeyWithNonce(X3,X4,X5)
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X2,X1),X5,tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4408]) ).

cnf(c_0_6611,plain,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4409]) ).

cnf(c_0_6612,plain,
    ( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4410]) ).

cnf(c_0_6613,plain,
    ( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4411]) ).

cnf(c_0_6614,plain,
    ( X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4412]) ).

cnf(c_0_6615,plain,
    ( X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4413]) ).

cnf(c_0_6616,plain,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4414]) ).

cnf(c_0_6617,plain,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4415]) ).

cnf(c_0_6618,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4416]) ).

cnf(c_0_6619,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4417]) ).

cnf(c_0_6620,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4418]) ).

cnf(c_0_6621,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4419]) ).

cnf(c_0_6622,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4420]) ).

cnf(c_0_6623,plain,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4421]) ).

cnf(c_0_6624,plain,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4422]) ).

cnf(c_0_6625,plain,
    ( X1 = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | X1 = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4423]) ).

cnf(c_0_6626,plain,
    ( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4424]) ).

cnf(c_0_6627,plain,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5)
    | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4425]) ).

cnf(c_0_6628,plain,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4426]) ).

cnf(c_0_6629,plain,
    ( X1 = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4427]) ).

cnf(c_0_6630,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4428]) ).

cnf(c_0_6631,plain,
    ( X1 = c_Public_OshrK(v_sko__2VY(X1))
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4429]) ).

cnf(c_0_6632,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4430]) ).

cnf(c_0_6633,plain,
    ( X1 = c_Public_OshrK(v_sko__2VY(X1))
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4431]) ).

cnf(c_0_6634,plain,
    ( c_plus(X1,X2,tc_nat) = c_plus(X3,X4,tc_nat)
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_4432]) ).

cnf(c_0_6635,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4433]) ).

cnf(c_0_6636,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4434]) ).

cnf(c_0_6637,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4435]) ).

cnf(c_0_6638,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4436]) ).

cnf(c_0_6639,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4437]) ).

cnf(c_0_6640,plain,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4438]) ).

cnf(c_0_6641,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4439]) ).

cnf(c_0_6642,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4440]) ).

cnf(c_0_6643,plain,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4441]) ).

cnf(c_0_6644,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4442]) ).

cnf(c_0_6645,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4443]) ).

cnf(c_0_6646,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4444]) ).

cnf(c_0_6647,plain,
    ( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4445]) ).

cnf(c_0_6648,plain,
    ( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_4446]) ).

cnf(c_0_6649,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4447]) ).

cnf(c_0_6650,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4448]) ).

cnf(c_0_6651,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4449]) ).

cnf(c_0_6652,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4450]) ).

cnf(c_0_6653,plain,
    ( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4451]) ).

cnf(c_0_6654,plain,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4452]) ).

cnf(c_0_6655,plain,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4453]) ).

cnf(c_0_6656,plain,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4454]) ).

cnf(c_0_6657,plain,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4455]) ).

cnf(c_0_6658,plain,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X4,tc_nat) != c_plus(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4456]) ).

cnf(c_0_6659,plain,
    ( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4457]) ).

cnf(c_0_6660,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4458]) ).

cnf(c_0_6661,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4459]) ).

cnf(c_0_6662,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X2),c_List_Olist_OCons(X6,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4460]) ).

cnf(c_0_6663,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4461]) ).

cnf(c_0_6664,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4462]) ).

cnf(c_0_6665,plain,
    ( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4463]) ).

cnf(c_0_6666,plain,
    ( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4)
    | c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4464]) ).

cnf(c_0_6667,plain,
    ( X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4)
    | c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4465]) ).

cnf(c_0_6668,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4466]) ).

cnf(c_0_6669,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4467]) ).

cnf(c_0_6670,plain,
    ( c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_4468]) ).

cnf(c_0_6671,plain,
    ( X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4)
    | X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4469]) ).

cnf(c_0_6672,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4470]) ).

cnf(c_0_6673,plain,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_4471]) ).

cnf(c_0_6674,plain,
    ( X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4)
    | X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3)
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4472]) ).

cnf(c_0_6675,plain,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4)
    | c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4473]) ).

cnf(c_0_6676,plain,
    ( X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4)
    | c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4474]) ).

cnf(c_0_6677,plain,
    ( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
    | c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
    | ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4475]) ).

cnf(c_0_6678,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4476]) ).

cnf(c_0_6679,plain,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4477]) ).

cnf(c_0_6680,plain,
    ( c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4478]) ).

cnf(c_0_6681,plain,
    ( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4479]) ).

cnf(c_0_6682,plain,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4480]) ).

cnf(c_0_6683,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4481]) ).

cnf(c_0_6684,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4482]) ).

cnf(c_0_6685,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4483]) ).

cnf(c_0_6686,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | X4 = X5
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4484]) ).

cnf(c_0_6687,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4485]) ).

cnf(c_0_6688,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4486]) ).

cnf(c_0_6689,plain,
    ( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
    | ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_4487]) ).

cnf(c_0_6690,plain,
    ( c_List_Ozip(c_append(X1,X2,X3),c_append(X4,X5,X6),X3,X6) = c_append(c_List_Ozip(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6))
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X6))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_4488]) ).

cnf(c_0_6691,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4489]) ).

cnf(c_0_6692,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4490]) ).

cnf(c_0_6693,plain,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4491]) ).

cnf(c_0_6694,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4492]) ).

cnf(c_0_6695,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4493]) ).

cnf(c_0_6696,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4494]) ).

cnf(c_0_6697,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4495]) ).

cnf(c_0_6698,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4496]) ).

cnf(c_0_6699,plain,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4497]) ).

cnf(c_0_6700,plain,
    ( X1 = c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3)
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4498]) ).

cnf(c_0_6701,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4499]) ).

cnf(c_0_6702,plain,
    ( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_4500]) ).

cnf(c_0_6703,plain,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4501]) ).

cnf(c_0_6704,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4502]) ).

cnf(c_0_6705,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) != c_Datatype_Ooption_ONone
    | ~ c_in(X5,c_List_Oset(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4503]) ).

cnf(c_0_6706,plain,
    ( c_List_Onth(c_List_Ozip(X1,X2,X3,X4),X5,tc_prod(X3,X4)) = c_Pair(c_List_Onth(X1,X5,X3),c_List_Onth(X2,X5,X4),X3,X4)
    | ~ c_less(X5,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | ~ c_less(X5,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4504]) ).

cnf(c_0_6707,plain,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4505]) ).

cnf(c_0_6708,plain,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4506]) ).

cnf(c_0_6709,plain,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4507]) ).

cnf(c_0_6710,plain,
    ( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4508]) ).

cnf(c_0_6711,plain,
    ( X1 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2)
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4509]) ).

cnf(c_0_6712,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4510]) ).

cnf(c_0_6713,plain,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4511]) ).

cnf(c_0_6714,plain,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4512]) ).

cnf(c_0_6715,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4513]) ).

cnf(c_0_6716,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4514]) ).

cnf(c_0_6717,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4515]) ).

cnf(c_0_6718,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4516]) ).

cnf(c_0_6719,plain,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4517]) ).

cnf(c_0_6720,plain,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4518]) ).

cnf(c_0_6721,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4519]) ).

cnf(c_0_6722,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4520]) ).

cnf(c_0_6723,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4521]) ).

cnf(c_0_6724,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4522]) ).

cnf(c_0_6725,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4523]) ).

cnf(c_0_6726,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4524]) ).

cnf(c_0_6727,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_4525]) ).

cnf(c_0_6728,plain,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4526]) ).

cnf(c_0_6729,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
    | ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4527]) ).

cnf(c_0_6730,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4528]) ).

cnf(c_0_6731,plain,
    ( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4529]) ).

cnf(c_0_6732,plain,
    ( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4530]) ).

cnf(c_0_6733,plain,
    ( c_Map_Omap__of(c_List_Ozip(X1,X2,X3,X4),X5,X3,X4) = c_Datatype_Ooption_ONone
    | c_in(X5,c_List_Oset(X1,X3),X3)
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4531]) ).

cnf(c_0_6734,plain,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4532]) ).

cnf(c_0_6735,plain,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4533]) ).

cnf(c_0_6736,plain,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4534]) ).

cnf(c_0_6737,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4535]) ).

cnf(c_0_6738,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4536]) ).

cnf(c_0_6739,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4537]) ).

cnf(c_0_6740,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4538]) ).

cnf(c_0_6741,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4539]) ).

cnf(c_0_6742,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4540]) ).

cnf(c_0_6743,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4541]) ).

cnf(c_0_6744,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4542]) ).

cnf(c_0_6745,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4543]) ).

cnf(c_0_6746,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4544]) ).

cnf(c_0_6747,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4545]) ).

cnf(c_0_6748,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4546]) ).

cnf(c_0_6749,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4547]) ).

cnf(c_0_6750,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4548]) ).

cnf(c_0_6751,plain,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4549]) ).

cnf(c_0_6752,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4550]) ).

cnf(c_0_6753,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4551]) ).

cnf(c_0_6754,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4552]) ).

cnf(c_0_6755,plain,
    ( c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
    inference(split_conjunct,[status(thm)],[c_0_4553]) ).

cnf(c_0_6756,plain,
    ( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
    | ~ c_in(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4554]) ).

cnf(c_0_6757,plain,
    ( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
    | ~ c_in(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4555]) ).

cnf(c_0_6758,plain,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4556]) ).

cnf(c_0_6759,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4557]) ).

cnf(c_0_6760,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4558]) ).

cnf(c_0_6761,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4559]) ).

cnf(c_0_6762,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4560]) ).

cnf(c_0_6763,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4561]) ).

cnf(c_0_6764,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4562]) ).

cnf(c_0_6765,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4563]) ).

cnf(c_0_6766,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4564]) ).

cnf(c_0_6767,plain,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4565]) ).

cnf(c_0_6768,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4566]) ).

cnf(c_0_6769,plain,
    ( c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4567]) ).

cnf(c_0_6770,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4568]) ).

cnf(c_0_6771,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4569]) ).

cnf(c_0_6772,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4570]) ).

cnf(c_0_6773,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4571]) ).

cnf(c_0_6774,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4572]) ).

cnf(c_0_6775,plain,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X2,X4) = X3
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4573]) ).

cnf(c_0_6776,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
    | ~ c_in(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4574]) ).

cnf(c_0_6777,plain,
    ( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4575]) ).

cnf(c_0_6778,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4576]) ).

cnf(c_0_6779,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4577]) ).

cnf(c_0_6780,plain,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4578]) ).

cnf(c_0_6781,plain,
    ( c_Message_Oagent_OServer = X1
    | c_Yahalom_OKeyWithNonce(X2,X3,X4)
    | ~ c_Yahalom_OKeyWithNonce(X2,X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X5,X6),X4,tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4579]) ).

cnf(c_0_6782,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4580]) ).

cnf(c_0_6783,plain,
    ( X1 = c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4581]) ).

cnf(c_0_6784,plain,
    ( c_List_Onth(c_List_Odrop(X1,X2,X3),X4,X3) = c_List_Onth(X2,c_plus(X1,X4,tc_nat),X3)
    | ~ c_lessequals(c_plus(X1,X4,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4582]) ).

cnf(c_0_6785,plain,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X5,X4) = c_List_Onth(X1,X5,X4)
    | X2 = X5 ),
    inference(split_conjunct,[status(thm)],[c_0_4583]) ).

cnf(c_0_6786,plain,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_plus(X2,c_div(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4584]) ).

cnf(c_0_6787,plain,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_plus(X3,c_div(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4585]) ).

cnf(c_0_6788,plain,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Otrans(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4586]) ).

cnf(c_0_6789,plain,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4587]) ).

cnf(c_0_6790,plain,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4588]) ).

cnf(c_0_6791,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4589]) ).

cnf(c_0_6792,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4590]) ).

cnf(c_0_6793,plain,
    ( c_times(c_minus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3) = c_minus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4591]) ).

cnf(c_0_6794,plain,
    ( c_times(c_plus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3) = c_plus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Osemiring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4592]) ).

cnf(c_0_6795,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_minus(X3,X4,X2),X2) = c_minus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4593]) ).

cnf(c_0_6796,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_plus(X3,X4,X2),X2) = c_plus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Osemiring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4594]) ).

cnf(c_0_6797,plain,
    ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4595]) ).

cnf(c_0_6798,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4596]) ).

cnf(c_0_6799,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4597]) ).

cnf(c_0_6800,plain,
    ( c_lessequals(X1,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4598]) ).

cnf(c_0_6801,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4599]) ).

cnf(c_0_6802,plain,
    ( c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4600]) ).

cnf(c_0_6803,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4601]) ).

cnf(c_0_6804,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4602]) ).

cnf(c_0_6805,plain,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4603]) ).

cnf(c_0_6806,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4604]) ).

cnf(c_0_6807,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4605]) ).

cnf(c_0_6808,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4606]) ).

cnf(c_0_6809,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4607]) ).

cnf(c_0_6810,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4608]) ).

cnf(c_0_6811,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4609]) ).

cnf(c_0_6812,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4610]) ).

cnf(c_0_6813,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4611]) ).

cnf(c_0_6814,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4612]) ).

cnf(c_0_6815,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4613]) ).

cnf(c_0_6816,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4614]) ).

cnf(c_0_6817,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4615]) ).

cnf(c_0_6818,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4616]) ).

cnf(c_0_6819,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4617]) ).

cnf(c_0_6820,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4618]) ).

cnf(c_0_6821,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4619]) ).

cnf(c_0_6822,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4620]) ).

cnf(c_0_6823,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4621]) ).

cnf(c_0_6824,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4622]) ).

cnf(c_0_6825,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4623]) ).

cnf(c_0_6826,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4624]) ).

cnf(c_0_6827,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4625]) ).

cnf(c_0_6828,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4626]) ).

cnf(c_0_6829,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4627]) ).

cnf(c_0_6830,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4628]) ).

cnf(c_0_6831,plain,
    ( c_minus(X1,c_Suc(c_minus(X2,X3,tc_nat)),tc_nat) = c_minus(c_plus(X1,X3,tc_nat),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4629]) ).

cnf(c_0_6832,plain,
    ( c_minus(c_Suc(c_minus(X1,X2,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X1),c_plus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4630]) ).

cnf(c_0_6833,plain,
    ( X1 = X2
    | c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4631]) ).

cnf(c_0_6834,plain,
    ( X1 = X2
    | c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4632]) ).

cnf(c_0_6835,plain,
    ( c_List_Olist__update(X1,X2,c_List_Onth(X1,X2,X3),X3) = X1
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4633]) ).

cnf(c_0_6836,plain,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4634]) ).

cnf(c_0_6837,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4635]) ).

cnf(c_0_6838,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4636]) ).

cnf(c_0_6839,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4637]) ).

cnf(c_0_6840,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4638]) ).

cnf(c_0_6841,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4639]) ).

cnf(c_0_6842,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4640]) ).

cnf(c_0_6843,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4641]) ).

cnf(c_0_6844,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4642]) ).

cnf(c_0_6845,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4643]) ).

cnf(c_0_6846,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4644]) ).

cnf(c_0_6847,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4645]) ).

cnf(c_0_6848,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4646]) ).

cnf(c_0_6849,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4647]) ).

cnf(c_0_6850,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4648]) ).

cnf(c_0_6851,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4649]) ).

cnf(c_0_6852,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4650]) ).

cnf(c_0_6853,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4651]) ).

cnf(c_0_6854,plain,
    ( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4652]) ).

cnf(c_0_6855,plain,
    ( c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4653]) ).

cnf(c_0_6856,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4654]) ).

cnf(c_0_6857,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4655]) ).

cnf(c_0_6858,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4656]) ).

cnf(c_0_6859,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4657]) ).

cnf(c_0_6860,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4658]) ).

cnf(c_0_6861,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4659]) ).

cnf(c_0_6862,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4660]) ).

cnf(c_0_6863,plain,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4661]) ).

cnf(c_0_6864,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4662]) ).

cnf(c_0_6865,plain,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4663]) ).

cnf(c_0_6866,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_4664]) ).

cnf(c_0_6867,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4665]) ).

cnf(c_0_6868,plain,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4666]) ).

cnf(c_0_6869,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4667]) ).

cnf(c_0_6870,plain,
    ( c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4668]) ).

cnf(c_0_6871,plain,
    ( c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_less(c_1,X1,X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4669]) ).

cnf(c_0_6872,plain,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4670]) ).

cnf(c_0_6873,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4671]) ).

cnf(c_0_6874,plain,
    ( c_List_Otake(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(X2,c_plus(X2,X1,tc_nat))
    | ~ c_lessequals(c_plus(X2,X1,tc_nat),X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4672]) ).

cnf(c_0_6875,plain,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4673]) ).

cnf(c_0_6876,plain,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4674]) ).

cnf(c_0_6877,plain,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4675]) ).

cnf(c_0_6878,plain,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4676]) ).

cnf(c_0_6879,plain,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4677]) ).

cnf(c_0_6880,plain,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4678]) ).

cnf(c_0_6881,plain,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4679]) ).

cnf(c_0_6882,plain,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4680]) ).

cnf(c_0_6883,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4681]) ).

cnf(c_0_6884,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4682]) ).

cnf(c_0_6885,plain,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4683]) ).

cnf(c_0_6886,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4684]) ).

cnf(c_0_6887,plain,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4685]) ).

cnf(c_0_6888,plain,
    ( c_lessequals(X1,c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4686]) ).

cnf(c_0_6889,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4687]) ).

cnf(c_0_6890,plain,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4688]) ).

cnf(c_0_6891,plain,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(X1,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4689]) ).

cnf(c_0_6892,plain,
    ( X1 = c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4690]) ).

cnf(c_0_6893,plain,
    ( c_minus(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X1,X4,X3),tc_set(X3)) = c_SetInterval_OatLeastLessThan(X4,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4691]) ).

cnf(c_0_6894,plain,
    ( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4692]) ).

cnf(c_0_6895,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4693]) ).

cnf(c_0_6896,plain,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4694]) ).

cnf(c_0_6897,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4695]) ).

cnf(c_0_6898,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4696]) ).

cnf(c_0_6899,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4697]) ).

cnf(c_0_6900,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4698]) ).

cnf(c_0_6901,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4699]) ).

cnf(c_0_6902,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4700]) ).

cnf(c_0_6903,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4701]) ).

cnf(c_0_6904,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4702]) ).

cnf(c_0_6905,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_minus(X3,c_Numeral_Onumber__of(X4,X2),X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X4)),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4703]) ).

cnf(c_0_6906,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4704]) ).

cnf(c_0_6907,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4705]) ).

cnf(c_0_6908,plain,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4706]) ).

cnf(c_0_6909,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4707]) ).

cnf(c_0_6910,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = c_List_Onth(X3,c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4708]) ).

cnf(c_0_6911,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,c_0,X2)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4709]) ).

cnf(c_0_6912,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4710]) ).

cnf(c_0_6913,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4711]) ).

cnf(c_0_6914,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4712]) ).

cnf(c_0_6915,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4713]) ).

cnf(c_0_6916,plain,
    ( c_plus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4714]) ).

cnf(c_0_6917,plain,
    ( c_plus(X1,c_minus(X2,X3,tc_nat),tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4715]) ).

cnf(c_0_6918,plain,
    ( c_minus(X1,c_minus(X2,X3,tc_nat),tc_nat) = c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4716]) ).

cnf(c_0_6919,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4717]) ).

cnf(c_0_6920,plain,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4718]) ).

cnf(c_0_6921,plain,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) = c_div(X1,X3,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4719]) ).

cnf(c_0_6922,plain,
    ( ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4720]) ).

cnf(c_0_6923,plain,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4721]) ).

cnf(c_0_6924,plain,
    ( X1 = c_0
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4722]) ).

cnf(c_0_6925,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4723]) ).

cnf(c_0_6926,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_4724]) ).

cnf(c_0_6927,plain,
    ( c_List_Olist__update(X1,X2,X3,X4) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X4)),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4725]) ).

cnf(c_0_6928,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4726]) ).

cnf(c_0_6929,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4727]) ).

cnf(c_0_6930,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4728]) ).

cnf(c_0_6931,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4729]) ).

cnf(c_0_6932,plain,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4730]) ).

cnf(c_0_6933,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4731]) ).

cnf(c_0_6934,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4732]) ).

cnf(c_0_6935,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4733]) ).

cnf(c_0_6936,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4734]) ).

cnf(c_0_6937,plain,
    ( c_List_Onth(c_List_Oupt(X1,X2),X3,tc_nat) = c_plus(X1,X3,tc_nat)
    | ~ c_less(c_plus(X1,X3,tc_nat),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4735]) ).

cnf(c_0_6938,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_plus(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4736]) ).

cnf(c_0_6939,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4737]) ).

cnf(c_0_6940,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4738]) ).

cnf(c_0_6941,plain,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4739]) ).

cnf(c_0_6942,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4740]) ).

cnf(c_0_6943,plain,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4741]) ).

cnf(c_0_6944,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4742]) ).

cnf(c_0_6945,plain,
    ( c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4743]) ).

cnf(c_0_6946,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4744]) ).

cnf(c_0_6947,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4745]) ).

cnf(c_0_6948,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4746]) ).

cnf(c_0_6949,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4747]) ).

cnf(c_0_6950,plain,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4748]) ).

cnf(c_0_6951,plain,
    ( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
    | ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4749]) ).

cnf(c_0_6952,plain,
    ( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
    | ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4750]) ).

cnf(c_0_6953,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4751]) ).

cnf(c_0_6954,plain,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,c_union(X2,X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4752]) ).

cnf(c_0_6955,plain,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(split_conjunct,[status(thm)],[c_0_4753]) ).

cnf(c_0_6956,plain,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4754]) ).

cnf(c_0_6957,plain,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4755]) ).

cnf(c_0_6958,plain,
    ( c_less(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4756]) ).

cnf(c_0_6959,plain,
    ( c_less(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4757]) ).

cnf(c_0_6960,plain,
    ( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4758]) ).

cnf(c_0_6961,plain,
    ( c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4))
    | ~ c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,X3,tc_set(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_4759]) ).

cnf(c_0_6962,plain,
    ( c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4760]) ).

cnf(c_0_6963,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4761]) ).

cnf(c_0_6964,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4762]) ).

cnf(c_0_6965,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4763]) ).

cnf(c_0_6966,plain,
    ( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4764]) ).

cnf(c_0_6967,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_lessequals(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4765]) ).

cnf(c_0_6968,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4766]) ).

cnf(c_0_6969,plain,
    ( c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4767]) ).

cnf(c_0_6970,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Power_Orecpower(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4768]) ).

cnf(c_0_6971,plain,
    ( c_less(c_0,X1,tc_nat)
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4769]) ).

cnf(c_0_6972,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4770]) ).

cnf(c_0_6973,plain,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4771]) ).

cnf(c_0_6974,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4772]) ).

cnf(c_0_6975,plain,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4773]) ).

cnf(c_0_6976,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4774]) ).

cnf(c_0_6977,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4775]) ).

cnf(c_0_6978,plain,
    ( c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4776]) ).

cnf(c_0_6979,plain,
    ( c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4777]) ).

cnf(c_0_6980,plain,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4778]) ).

cnf(c_0_6981,plain,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4779]) ).

cnf(c_0_6982,plain,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4780]) ).

cnf(c_0_6983,plain,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4781]) ).

cnf(c_0_6984,plain,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4782]) ).

cnf(c_0_6985,plain,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4783]) ).

cnf(c_0_6986,plain,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4784]) ).

cnf(c_0_6987,plain,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4785]) ).

cnf(c_0_6988,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4786]) ).

cnf(c_0_6989,plain,
    ( c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4787]) ).

cnf(c_0_6990,plain,
    ( c_less(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_less(X1,X2,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4788]) ).

cnf(c_0_6991,plain,
    ( c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4789]) ).

cnf(c_0_6992,plain,
    ( c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4790]) ).

cnf(c_0_6993,plain,
    ( c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4791]) ).

cnf(c_0_6994,plain,
    ( c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4792]) ).

cnf(c_0_6995,plain,
    ( c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ c_less(X2,X1,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4793]) ).

cnf(c_0_6996,plain,
    ( c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4)
    | ~ c_less(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4794]) ).

cnf(c_0_6997,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4795]) ).

cnf(c_0_6998,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4796]) ).

cnf(c_0_6999,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset
    | ~ c_in(X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4797]) ).

cnf(c_0_7000,plain,
    ( c_emptyset != c_inter(X1,c_insert(X2,X3,X4),X4)
    | ~ c_in(X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4798]) ).

cnf(c_0_7001,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4799]) ).

cnf(c_0_7002,plain,
    ( c_emptyset != c_inter(c_insert(X1,X2,X3),X4,X3)
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4800]) ).

cnf(c_0_7003,plain,
    ( c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4801]) ).

cnf(c_0_7004,plain,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4802]) ).

cnf(c_0_7005,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4803]) ).

cnf(c_0_7006,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4804]) ).

cnf(c_0_7007,plain,
    ( c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4805]) ).

cnf(c_0_7008,plain,
    ( c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3)
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4806]) ).

cnf(c_0_7009,plain,
    ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2),X2) = c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4807]) ).

cnf(c_0_7010,plain,
    ( c_divide(c_divide(X1,X2,X3),X4,X3) = c_divide(X1,c_times(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4808]) ).

cnf(c_0_7011,plain,
    ( c_divide(X1,c_divide(X2,X3,X4),X4) = c_divide(c_times(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4809]) ).

cnf(c_0_7012,plain,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4810]) ).

cnf(c_0_7013,plain,
    ( c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4811]) ).

cnf(c_0_7014,plain,
    ( c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4812]) ).

cnf(c_0_7015,plain,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4813]) ).

cnf(c_0_7016,plain,
    ( c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4814]) ).

cnf(c_0_7017,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4815]) ).

cnf(c_0_7018,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4816]) ).

cnf(c_0_7019,plain,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4817]) ).

cnf(c_0_7020,plain,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4818]) ).

cnf(c_0_7021,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4819]) ).

cnf(c_0_7022,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_4820]) ).

cnf(c_0_7023,plain,
    ( c_List_Odistinct(c_append(X1,X2,X3),X3)
    | c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | ~ c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4821]) ).

cnf(c_0_7024,plain,
    ( c_in(X1,c_inter(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4)
    | ~ c_in(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4822]) ).

cnf(c_0_7025,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4823]) ).

cnf(c_0_7026,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint))
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4824]) ).

cnf(c_0_7027,plain,
    ( c_List_Oset(c_List_Oremove1(X1,X2,X3),X3) = c_minus(c_List_Oset(X2,X3),c_insert(X1,c_emptyset,X3),tc_set(X3))
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4825]) ).

cnf(c_0_7028,plain,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4826]) ).

cnf(c_0_7029,plain,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4827]) ).

cnf(c_0_7030,plain,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4828]) ).

cnf(c_0_7031,plain,
    ( c_in(c_List_Onth(X1,X2,X3),c_List_Oset(X1,X3),X3)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4829]) ).

cnf(c_0_7032,plain,
    ( c_times(X1,c_divide(X2,X3,X4),X4) = c_divide(c_times(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4830]) ).

cnf(c_0_7033,plain,
    ( c_times(c_divide(X1,X2,X3),X4,X3) = c_divide(c_times(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4831]) ).

cnf(c_0_7034,plain,
    ( c_1 = c_Numeral_Onumber__of(X1,X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4832]) ).

cnf(c_0_7035,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4833]) ).

cnf(c_0_7036,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4834]) ).

cnf(c_0_7037,plain,
    ( c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4835]) ).

cnf(c_0_7038,plain,
    ( c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4836]) ).

cnf(c_0_7039,plain,
    ( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4837]) ).

cnf(c_0_7040,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4838]) ).

cnf(c_0_7041,plain,
    ( X1 = X2
    | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_4839]) ).

cnf(c_0_7042,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_4840]) ).

cnf(c_0_7043,plain,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_4841]) ).

cnf(c_0_7044,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X2,X4,X3),tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4842]) ).

cnf(c_0_7045,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4843]) ).

cnf(c_0_7046,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X4,X3),X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4844]) ).

cnf(c_0_7047,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4845]) ).

cnf(c_0_7048,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_insert(X4,X1,X3),X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4846]) ).

cnf(c_0_7049,plain,
    ( c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4847]) ).

cnf(c_0_7050,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4848]) ).

cnf(c_0_7051,plain,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4849]) ).

cnf(c_0_7052,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4850]) ).

cnf(c_0_7053,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4851]) ).

cnf(c_0_7054,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4852]) ).

cnf(c_0_7055,plain,
    ( c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4853]) ).

cnf(c_0_7056,plain,
    ( c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4854]) ).

cnf(c_0_7057,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4855]) ).

cnf(c_0_7058,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4856]) ).

cnf(c_0_7059,plain,
    ( c_less(c_0,c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4857]) ).

cnf(c_0_7060,plain,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4858]) ).

cnf(c_0_7061,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4859]) ).

cnf(c_0_7062,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4860]) ).

cnf(c_0_7063,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4861]) ).

cnf(c_0_7064,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4862]) ).

cnf(c_0_7065,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4863]) ).

cnf(c_0_7066,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4864]) ).

cnf(c_0_7067,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4865]) ).

cnf(c_0_7068,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4866]) ).

cnf(c_0_7069,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4867]) ).

cnf(c_0_7070,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4868]) ).

cnf(c_0_7071,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4869]) ).

cnf(c_0_7072,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4870]) ).

cnf(c_0_7073,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4871]) ).

cnf(c_0_7074,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4872]) ).

cnf(c_0_7075,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4873]) ).

cnf(c_0_7076,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4874]) ).

cnf(c_0_7077,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4875]) ).

cnf(c_0_7078,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4876]) ).

cnf(c_0_7079,plain,
    ( c_NatArith_Oof__nat(c_minus(X1,X2,tc_nat),X3) = c_minus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4877]) ).

cnf(c_0_7080,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4878]) ).

cnf(c_0_7081,plain,
    ( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4879]) ).

cnf(c_0_7082,plain,
    ( c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4880]) ).

cnf(c_0_7083,plain,
    ( c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4881]) ).

cnf(c_0_7084,plain,
    ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4882]) ).

cnf(c_0_7085,plain,
    ( c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4883]) ).

cnf(c_0_7086,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4884]) ).

cnf(c_0_7087,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4885]) ).

cnf(c_0_7088,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4886]) ).

cnf(c_0_7089,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4887]) ).

cnf(c_0_7090,plain,
    ( c_minus(c_insert(X1,X2,X3),X4,tc_set(X3)) = c_minus(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4888]) ).

cnf(c_0_7091,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4889]) ).

cnf(c_0_7092,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4890]) ).

cnf(c_0_7093,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4891]) ).

cnf(c_0_7094,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4892]) ).

cnf(c_0_7095,plain,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4893]) ).

cnf(c_0_7096,plain,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_plus(c_div(X1,X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X2 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4894]) ).

cnf(c_0_7097,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4895]) ).

cnf(c_0_7098,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4896]) ).

cnf(c_0_7099,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4897]) ).

cnf(c_0_7100,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4898]) ).

cnf(c_0_7101,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4899]) ).

cnf(c_0_7102,plain,
    ( X1 = X2
    | c_List_Oop_Amem(X2,X3,X4)
    | ~ c_List_Oop_Amem(X2,c_List_Olist_OCons(X1,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4900]) ).

cnf(c_0_7103,plain,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4901]) ).

cnf(c_0_7104,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4902]) ).

cnf(c_0_7105,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4903]) ).

cnf(c_0_7106,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4904]) ).

cnf(c_0_7107,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_4905]) ).

cnf(c_0_7108,plain,
    ( c_emptyset = c_inter(X1,X2,X3)
    | c_emptyset != c_inter(X1,c_insert(X4,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4906]) ).

cnf(c_0_7109,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_4907]) ).

cnf(c_0_7110,plain,
    ( c_emptyset = c_inter(X1,X2,X3)
    | c_emptyset != c_inter(c_insert(X4,X1,X3),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4908]) ).

cnf(c_0_7111,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4909]) ).

cnf(c_0_7112,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4910]) ).

cnf(c_0_7113,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4911]) ).

cnf(c_0_7114,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4912]) ).

cnf(c_0_7115,plain,
    ( c_Finite__Set_OMax(c_insert(X1,X2,X3),X3) = c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4913]) ).

cnf(c_0_7116,plain,
    ( c_Finite__Set_OMin(c_insert(X1,X2,X3),X3) = c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4914]) ).

cnf(c_0_7117,plain,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4915]) ).

cnf(c_0_7118,plain,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4916]) ).

cnf(c_0_7119,plain,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4917]) ).

cnf(c_0_7120,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,X3,X4) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_4918]) ).

cnf(c_0_7121,plain,
    ( c_emptyset = c_inter(X1,c_insert(X2,X3,X4),X4)
    | c_in(X2,X1,X4)
    | c_emptyset != c_inter(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4919]) ).

cnf(c_0_7122,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(X2,X4,X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_4920]) ).

cnf(c_0_7123,plain,
    ( c_emptyset = c_inter(c_insert(X1,X2,X3),X4,X3)
    | c_in(X1,X4,X3)
    | c_emptyset != c_inter(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4921]) ).

cnf(c_0_7124,plain,
    ( c_List_Onth(c_List_Otake(X1,X2,X3),X4,X3) = c_List_Onth(X2,X4,X3)
    | ~ c_less(X4,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4922]) ).

cnf(c_0_7125,plain,
    ( c_Finite__Set_Ocard(c_insert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4923]) ).

cnf(c_0_7126,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4924]) ).

cnf(c_0_7127,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4925]) ).

cnf(c_0_7128,plain,
    ( c_inter(c_List_Oset(X1,X2),c_List_Oset(X3,X2),X2) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4926]) ).

cnf(c_0_7129,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4927]) ).

cnf(c_0_7130,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4928]) ).

cnf(c_0_7131,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4929]) ).

cnf(c_0_7132,plain,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3)
    | c_in(X1,c_List_Oset(X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4930]) ).

cnf(c_0_7133,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4931]) ).

cnf(c_0_7134,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X2,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4932]) ).

cnf(c_0_7135,plain,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4933]) ).

cnf(c_0_7136,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4934]) ).

cnf(c_0_7137,plain,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4935]) ).

cnf(c_0_7138,plain,
    ( c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4936]) ).

cnf(c_0_7139,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_4937]) ).

cnf(c_0_7140,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_4938]) ).

cnf(c_0_7141,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4939]) ).

cnf(c_0_7142,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4940]) ).

cnf(c_0_7143,plain,
    ( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4941]) ).

cnf(c_0_7144,plain,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
    | ~ c_in(c_0,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4942]) ).

cnf(c_0_7145,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4943]) ).

cnf(c_0_7146,plain,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4944]) ).

cnf(c_0_7147,plain,
    ( c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4945]) ).

cnf(c_0_7148,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4946]) ).

cnf(c_0_7149,plain,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_4947]) ).

cnf(c_0_7150,plain,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4948]) ).

cnf(c_0_7151,plain,
    ( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X2)),X1,tc_Message_Omsg)
    | c_in(X2,c_Message_OkeysFor(X1),tc_nat)
    | ~ c_in(X2,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4949]) ).

cnf(c_0_7152,plain,
    ( c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)) = c_minus(X1,X3,tc_set(X4))
    | c_in(X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4950]) ).

cnf(c_0_7153,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4951]) ).

cnf(c_0_7154,plain,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4952]) ).

cnf(c_0_7155,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4953]) ).

cnf(c_0_7156,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_4954]) ).

cnf(c_0_7157,plain,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4955]) ).

cnf(c_0_7158,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4956]) ).

cnf(c_0_7159,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Inter(X4,X3),X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4957]) ).

cnf(c_0_7160,plain,
    ( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3)
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4958]) ).

cnf(c_0_7161,plain,
    ( c_divide(c_times(c_0,X1,X2),c_times(c_0,X3,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4959]) ).

cnf(c_0_7162,plain,
    ( c_divide(c_times(X1,c_0,X2),c_times(X3,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4960]) ).

cnf(c_0_7163,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4961]) ).

cnf(c_0_7164,plain,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4962]) ).

cnf(c_0_7165,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | X3 = c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4963]) ).

cnf(c_0_7166,plain,
    ( c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4964]) ).

cnf(c_0_7167,plain,
    ( c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4965]) ).

cnf(c_0_7168,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | X3 = c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4966]) ).

cnf(c_0_7169,plain,
    ( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
    | c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4967]) ).

cnf(c_0_7170,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4968]) ).

cnf(c_0_7171,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4969]) ).

cnf(c_0_7172,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4970]) ).

cnf(c_0_7173,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4971]) ).

cnf(c_0_7174,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4972]) ).

cnf(c_0_7175,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4973]) ).

cnf(c_0_7176,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4974]) ).

cnf(c_0_7177,plain,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4975]) ).

cnf(c_0_7178,plain,
    ( X1 = X2
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4976]) ).

cnf(c_0_7179,plain,
    ( c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4977]) ).

cnf(c_0_7180,plain,
    ( c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4978]) ).

cnf(c_0_7181,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_4979]) ).

cnf(c_0_7182,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4980]) ).

cnf(c_0_7183,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4981]) ).

cnf(c_0_7184,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4982]) ).

cnf(c_0_7185,plain,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4983]) ).

cnf(c_0_7186,plain,
    ( c_in(X1,c_Union(X2,X3),X3)
    | ~ c_in(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4984]) ).

cnf(c_0_7187,plain,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4985]) ).

cnf(c_0_7188,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_4986]) ).

cnf(c_0_7189,plain,
    ( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4987]) ).

cnf(c_0_7190,plain,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4988]) ).

cnf(c_0_7191,plain,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4989]) ).

cnf(c_0_7192,plain,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4990]) ).

cnf(c_0_7193,plain,
    ( c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4991]) ).

cnf(c_0_7194,plain,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4992]) ).

cnf(c_0_7195,plain,
    ( c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4993]) ).

cnf(c_0_7196,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4994]) ).

cnf(c_0_7197,plain,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_4995]) ).

cnf(c_0_7198,plain,
    ( c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4996]) ).

cnf(c_0_7199,plain,
    ( c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4997]) ).

cnf(c_0_7200,plain,
    ( c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4998]) ).

cnf(c_0_7201,plain,
    ( c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4999]) ).

cnf(c_0_7202,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5000]) ).

cnf(c_0_7203,plain,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5001]) ).

cnf(c_0_7204,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5002]) ).

cnf(c_0_7205,plain,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5003]) ).

cnf(c_0_7206,plain,
    ( c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5004]) ).

cnf(c_0_7207,plain,
    ( c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5005]) ).

cnf(c_0_7208,plain,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5006]) ).

cnf(c_0_7209,plain,
    ( c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5007]) ).

cnf(c_0_7210,plain,
    ( c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5008]) ).

cnf(c_0_7211,plain,
    ( c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5009]) ).

cnf(c_0_7212,plain,
    ( c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5010]) ).

cnf(c_0_7213,plain,
    ( c_minus(c_insert(X1,c_emptyset,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5011]) ).

cnf(c_0_7214,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5012]) ).

cnf(c_0_7215,plain,
    ( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5013]) ).

cnf(c_0_7216,plain,
    ( c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5014]) ).

cnf(c_0_7217,plain,
    ( c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Oop_Amem(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5015]) ).

cnf(c_0_7218,plain,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5016]) ).

cnf(c_0_7219,plain,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5017]) ).

cnf(c_0_7220,plain,
    ( c_in(X1,c_insert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5018]) ).

cnf(c_0_7221,plain,
    ( c_List_Onth(c_List_Oreplicate(X1,X2,X3),X4,X3) = X2
    | ~ c_less(X4,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5019]) ).

cnf(c_0_7222,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5020]) ).

cnf(c_0_7223,plain,
    ( c_minus(X1,c_minus(X1,X2,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5021]) ).

cnf(c_0_7224,plain,
    ( c_plus(c_minus(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5022]) ).

cnf(c_0_7225,plain,
    ( c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5023]) ).

cnf(c_0_7226,plain,
    ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5024]) ).

cnf(c_0_7227,plain,
    ( c_HOL_Oabs(c_divide(X1,X2,X3),X3) = c_divide(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5025]) ).

cnf(c_0_7228,plain,
    ( c_HOL_Oinverse(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oinverse(X1,X3),c_HOL_Oinverse(X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5026]) ).

cnf(c_0_7229,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5027]) ).

cnf(c_0_7230,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5028]) ).

cnf(c_0_7231,plain,
    ( c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5029]) ).

cnf(c_0_7232,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5030]) ).

cnf(c_0_7233,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5031]) ).

cnf(c_0_7234,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5032]) ).

cnf(c_0_7235,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5033]) ).

cnf(c_0_7236,plain,
    ( c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5034]) ).

cnf(c_0_7237,plain,
    ( c_div(c_times(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5035]) ).

cnf(c_0_7238,plain,
    ( c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5036]) ).

cnf(c_0_7239,plain,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5037]) ).

cnf(c_0_7240,plain,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5038]) ).

cnf(c_0_7241,plain,
    ( c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5039]) ).

cnf(c_0_7242,plain,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5040]) ).

cnf(c_0_7243,plain,
    ( c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5041]) ).

cnf(c_0_7244,plain,
    ( c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5042]) ).

cnf(c_0_7245,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5043]) ).

cnf(c_0_7246,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_5044]) ).

cnf(c_0_7247,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_5045]) ).

cnf(c_0_7248,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_5046]) ).

cnf(c_0_7249,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_5047]) ).

cnf(c_0_7250,plain,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5048]) ).

cnf(c_0_7251,plain,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(X2,c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5049]) ).

cnf(c_0_7252,plain,
    ( c_lessequals(c_0,c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5050]) ).

cnf(c_0_7253,plain,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5051]) ).

cnf(c_0_7254,plain,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5052]) ).

cnf(c_0_7255,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5053]) ).

cnf(c_0_7256,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5054]) ).

cnf(c_0_7257,plain,
    ( c_uminus(c_plus(X1,X2,X3),X3) = c_plus(c_uminus(X1,X3),c_uminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5055]) ).

cnf(c_0_7258,plain,
    ( c_uminus(c_LOrder_Ojoin(X1,X2,X3),X3) = c_LOrder_Omeet(c_uminus(X1,X3),c_uminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5056]) ).

cnf(c_0_7259,plain,
    ( c_uminus(c_LOrder_Omeet(X1,X2,X3),X3) = c_LOrder_Ojoin(c_uminus(X1,X3),c_uminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5057]) ).

cnf(c_0_7260,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5058]) ).

cnf(c_0_7261,plain,
    ( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
    | ~ c_lessequals(X3,X1,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5059]) ).

cnf(c_0_7262,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_5060]) ).

cnf(c_0_7263,plain,
    ( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5061]) ).

cnf(c_0_7264,plain,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5062]) ).

cnf(c_0_7265,plain,
    ( c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X3) = c_plus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5063]) ).

cnf(c_0_7266,plain,
    ( c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X3) = c_minus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5064]) ).

cnf(c_0_7267,plain,
    ( c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X3) = c_times(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5065]) ).

cnf(c_0_7268,plain,
    ( c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X3) = c_plus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5066]) ).

cnf(c_0_7269,plain,
    ( c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X3) = c_times(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5067]) ).

cnf(c_0_7270,plain,
    ( c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(c_0,X2,tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5068]) ).

cnf(c_0_7271,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5069]) ).

cnf(c_0_7272,plain,
    ( c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5070]) ).

cnf(c_0_7273,plain,
    ( c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5071]) ).

cnf(c_0_7274,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5072]) ).

cnf(c_0_7275,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5073]) ).

cnf(c_0_7276,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5074]) ).

cnf(c_0_7277,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2)
    | c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5075]) ).

cnf(c_0_7278,plain,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5076]) ).

cnf(c_0_7279,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5077]) ).

cnf(c_0_7280,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5078]) ).

cnf(c_0_7281,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5079]) ).

cnf(c_0_7282,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5080]) ).

cnf(c_0_7283,plain,
    ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5081]) ).

cnf(c_0_7284,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_1 != c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5082]) ).

cnf(c_0_7285,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5083]) ).

cnf(c_0_7286,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5084]) ).

cnf(c_0_7287,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5085]) ).

cnf(c_0_7288,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5086]) ).

cnf(c_0_7289,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5087]) ).

cnf(c_0_7290,plain,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),c_0,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5088]) ).

cnf(c_0_7291,plain,
    ( c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X3),X3) = c_Orderings_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5089]) ).

cnf(c_0_7292,plain,
    ( c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X3),X3) = c_Orderings_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5090]) ).

cnf(c_0_7293,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5091]) ).

cnf(c_0_7294,plain,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5092]) ).

cnf(c_0_7295,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5093]) ).

cnf(c_0_7296,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5094]) ).

cnf(c_0_7297,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_Numeral_Onumber__of(X3,X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5095]) ).

cnf(c_0_7298,plain,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5096]) ).

cnf(c_0_7299,plain,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5097]) ).

cnf(c_0_7300,plain,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5098]) ).

cnf(c_0_7301,plain,
    ( c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5099]) ).

cnf(c_0_7302,plain,
    ( c_less(X1,c_uminus(c_1,X2),X2)
    | ~ c_less(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5100]) ).

cnf(c_0_7303,plain,
    ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5101]) ).

cnf(c_0_7304,plain,
    ( c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5102]) ).

cnf(c_0_7305,plain,
    ( c_less(c_uminus(c_1,X1),X2,X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5103]) ).

cnf(c_0_7306,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5104]) ).

cnf(c_0_7307,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5105]) ).

cnf(c_0_7308,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5106]) ).

cnf(c_0_7309,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5107]) ).

cnf(c_0_7310,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5108]) ).

cnf(c_0_7311,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5109]) ).

cnf(c_0_7312,plain,
    ( c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5110]) ).

cnf(c_0_7313,plain,
    ( c_less(c_1,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5111]) ).

cnf(c_0_7314,plain,
    ( c_lessequals(c_uminus(X1,X2),c_1,X2)
    | ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5112]) ).

cnf(c_0_7315,plain,
    ( c_less(c_uminus(X1,X2),c_1,X2)
    | ~ c_less(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5113]) ).

cnf(c_0_7316,plain,
    ( c_divide(X1,c_uminus(X2,X3),X3) = c_uminus(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5114]) ).

cnf(c_0_7317,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_5115]) ).

cnf(c_0_7318,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5116]) ).

cnf(c_0_7319,plain,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_ONil
    | c_in(c_0,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5117]) ).

cnf(c_0_7320,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5118]) ).

cnf(c_0_7321,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5119]) ).

cnf(c_0_7322,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5120]) ).

cnf(c_0_7323,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5121]) ).

cnf(c_0_7324,plain,
    ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5122]) ).

cnf(c_0_7325,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5123]) ).

cnf(c_0_7326,plain,
    ( c_divide(c_uminus(X1,X2),X3,X2) = c_uminus(c_divide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5124]) ).

cnf(c_0_7327,plain,
    ( c_times(c_uminus(X1,X2),X3,X2) = c_uminus(c_times(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5125]) ).

cnf(c_0_7328,plain,
    ( c_times(X1,c_uminus(X2,X3),X3) = c_uminus(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5126]) ).

cnf(c_0_7329,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5127]) ).

cnf(c_0_7330,plain,
    ( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5128]) ).

cnf(c_0_7331,plain,
    ( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5129]) ).

cnf(c_0_7332,plain,
    ( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5130]) ).

cnf(c_0_7333,plain,
    ( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5131]) ).

cnf(c_0_7334,plain,
    ( c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = X1
    | c_Numeral_Onumber__of(X4,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5132]) ).

cnf(c_0_7335,plain,
    ( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5133]) ).

cnf(c_0_7336,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5134]) ).

cnf(c_0_7337,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5135]) ).

cnf(c_0_7338,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X3,X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5136]) ).

cnf(c_0_7339,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5137]) ).

cnf(c_0_7340,plain,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5138]) ).

cnf(c_0_7341,plain,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5139]) ).

cnf(c_0_7342,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5140]) ).

cnf(c_0_7343,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5141]) ).

cnf(c_0_7344,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5142]) ).

cnf(c_0_7345,plain,
    ( X1 = c_Message_OinvKey(v_sko__uhi(X2,X1))
    | c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5143]) ).

cnf(c_0_7346,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5144]) ).

cnf(c_0_7347,plain,
    ( c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)
    | X2 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5145]) ).

cnf(c_0_7348,plain,
    ( c_List_Otl(c_append(X1,X2,X3),X3) = c_append(c_List_Otl(X1,X3),X2,X3)
    | X1 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5146]) ).

cnf(c_0_7349,plain,
    ( c_lessequals(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5147]) ).

cnf(c_0_7350,plain,
    ( c_less(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5148]) ).

cnf(c_0_7351,plain,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_OrderedGroup_Onprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5149]) ).

cnf(c_0_7352,plain,
    ( c_lessequals(c_OrderedGroup_Opprt(X1,X2),c_OrderedGroup_Opprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5150]) ).

cnf(c_0_7353,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5151]) ).

cnf(c_0_7354,plain,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5152]) ).

cnf(c_0_7355,plain,
    ( c_List_Otake(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5153]) ).

cnf(c_0_7356,plain,
    ( c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5154]) ).

cnf(c_0_7357,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5155]) ).

cnf(c_0_7358,plain,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5156]) ).

cnf(c_0_7359,plain,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_less(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5157]) ).

cnf(c_0_7360,plain,
    ( c_lessequals(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5158]) ).

cnf(c_0_7361,plain,
    ( c_less(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_less(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5159]) ).

cnf(c_0_7362,plain,
    ( X1 = X2
    | ~ c_in(X2,X3,X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5160]) ).

cnf(c_0_7363,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5161]) ).

cnf(c_0_7364,plain,
    ( c_List_Orotate(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),c_1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5162]) ).

cnf(c_0_7365,plain,
    ( c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5163]) ).

cnf(c_0_7366,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5164]) ).

cnf(c_0_7367,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5165]) ).

cnf(c_0_7368,plain,
    ( c_0 = c_Numeral_Onumber__of(X1,X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5166]) ).

cnf(c_0_7369,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5167]) ).

cnf(c_0_7370,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5168]) ).

cnf(c_0_7371,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5169]) ).

cnf(c_0_7372,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5170]) ).

cnf(c_0_7373,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5171]) ).

cnf(c_0_7374,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5172]) ).

cnf(c_0_7375,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5173]) ).

cnf(c_0_7376,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5174]) ).

cnf(c_0_7377,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5175]) ).

cnf(c_0_7378,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5176]) ).

cnf(c_0_7379,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5177]) ).

cnf(c_0_7380,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5178]) ).

cnf(c_0_7381,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5179]) ).

cnf(c_0_7382,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5180]) ).

cnf(c_0_7383,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X2,X1,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5181]) ).

cnf(c_0_7384,plain,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5182]) ).

cnf(c_0_7385,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5183]) ).

cnf(c_0_7386,plain,
    ( c_HOL_Oinverse(c_divide(X1,X2,X3),X3) = c_divide(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5184]) ).

cnf(c_0_7387,plain,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5185]) ).

cnf(c_0_7388,plain,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5186]) ).

cnf(c_0_7389,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5187]) ).

cnf(c_0_7390,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5188]) ).

cnf(c_0_7391,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5189]) ).

cnf(c_0_7392,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5190]) ).

cnf(c_0_7393,plain,
    ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5191]) ).

cnf(c_0_7394,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5192]) ).

cnf(c_0_7395,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5193]) ).

cnf(c_0_7396,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5194]) ).

cnf(c_0_7397,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5195]) ).

cnf(c_0_7398,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5196]) ).

cnf(c_0_7399,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5197]) ).

cnf(c_0_7400,plain,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5198]) ).

cnf(c_0_7401,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5199]) ).

cnf(c_0_7402,plain,
    ( c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5200]) ).

cnf(c_0_7403,plain,
    ( c_less(X1,c_0,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5201]) ).

cnf(c_0_7404,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5202]) ).

cnf(c_0_7405,plain,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5203]) ).

cnf(c_0_7406,plain,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5204]) ).

cnf(c_0_7407,plain,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5205]) ).

cnf(c_0_7408,plain,
    ( c_uminus(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5206]) ).

cnf(c_0_7409,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5207]) ).

cnf(c_0_7410,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5208]) ).

cnf(c_0_7411,plain,
    ( X1 = X2
    | c_plus(X3,X1,X4) != c_plus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5209]) ).

cnf(c_0_7412,plain,
    ( X1 = X2
    | c_plus(X1,X3,X4) != c_plus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5210]) ).

cnf(c_0_7413,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Oconcat(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5211]) ).

cnf(c_0_7414,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5212]) ).

cnf(c_0_7415,plain,
    ( c_divide(c_times(X1,X2,X3),X1,X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5213]) ).

cnf(c_0_7416,plain,
    ( c_divide(c_times(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5214]) ).

cnf(c_0_7417,plain,
    ( c_times(c_divide(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5215]) ).

cnf(c_0_7418,plain,
    ( c_times(X1,c_divide(X2,X1,X3),X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5216]) ).

cnf(c_0_7419,plain,
    ( c_minus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5217]) ).

cnf(c_0_7420,plain,
    ( c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
    | c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5218]) ).

cnf(c_0_7421,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5219]) ).

cnf(c_0_7422,plain,
    ( c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5220]) ).

cnf(c_0_7423,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5221]) ).

cnf(c_0_7424,plain,
    ( c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5222]) ).

cnf(c_0_7425,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(split_conjunct,[status(thm)],[c_0_5223]) ).

cnf(c_0_7426,plain,
    ( c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3)
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5224]) ).

cnf(c_0_7427,plain,
    ( c_divide(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_divide(X1,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5225]) ).

cnf(c_0_7428,plain,
    ( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5226]) ).

cnf(c_0_7429,plain,
    ( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5227]) ).

cnf(c_0_7430,plain,
    ( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5228]) ).

cnf(c_0_7431,plain,
    ( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5229]) ).

cnf(c_0_7432,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5230]) ).

cnf(c_0_7433,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5231]) ).

cnf(c_0_7434,plain,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5232]) ).

cnf(c_0_7435,plain,
    ( c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5233]) ).

cnf(c_0_7436,plain,
    ( X1 = X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5234]) ).

cnf(c_0_7437,plain,
    ( X1 = X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5235]) ).

cnf(c_0_7438,plain,
    ( X1 = X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5236]) ).

cnf(c_0_7439,plain,
    ( X1 = X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5237]) ).

cnf(c_0_7440,plain,
    ( X1 = X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5238]) ).

cnf(c_0_7441,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5239]) ).

cnf(c_0_7442,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5240]) ).

cnf(c_0_7443,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5241]) ).

cnf(c_0_7444,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5242]) ).

cnf(c_0_7445,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5243]) ).

cnf(c_0_7446,plain,
    ( X1 = X2
    | c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5244]) ).

cnf(c_0_7447,plain,
    ( X1 = X2
    | c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5245]) ).

cnf(c_0_7448,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_5246]) ).

cnf(c_0_7449,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_5247]) ).

cnf(c_0_7450,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5248]) ).

cnf(c_0_7451,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5249]) ).

cnf(c_0_7452,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5250]) ).

cnf(c_0_7453,plain,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5251]) ).

cnf(c_0_7454,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5252]) ).

cnf(c_0_7455,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5253]) ).

cnf(c_0_7456,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5254]) ).

cnf(c_0_7457,plain,
    ( c_divide(c_0,c_times(c_0,X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5255]) ).

cnf(c_0_7458,plain,
    ( c_divide(c_times(c_0,X1,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5256]) ).

cnf(c_0_7459,plain,
    ( c_divide(c_0,c_times(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5257]) ).

cnf(c_0_7460,plain,
    ( c_divide(c_times(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5258]) ).

cnf(c_0_7461,plain,
    ( c_times(c_divide(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5259]) ).

cnf(c_0_7462,plain,
    ( c_times(c_0,c_divide(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5260]) ).

cnf(c_0_7463,plain,
    ( X1 = X2
    | c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5261]) ).

cnf(c_0_7464,plain,
    ( X1 = X2
    | c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5262]) ).

cnf(c_0_7465,plain,
    ( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5263]) ).

cnf(c_0_7466,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5264]) ).

cnf(c_0_7467,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5265]) ).

cnf(c_0_7468,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(split_conjunct,[status(thm)],[c_0_5266]) ).

cnf(c_0_7469,plain,
    ( c_in(c_uminus(X1,X2),c_IntDef_OInts,X2)
    | ~ c_in(X1,c_IntDef_OInts,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5267]) ).

cnf(c_0_7470,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5268]) ).

cnf(c_0_7471,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,tc_nat) != c_times(X3,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5269]) ).

cnf(c_0_7472,plain,
    ( c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5270]) ).

cnf(c_0_7473,plain,
    ( c_less(c_0,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5271]) ).

cnf(c_0_7474,plain,
    ( c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5272]) ).

cnf(c_0_7475,plain,
    ( c_less(c_uminus(X1,X2),c_0,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5273]) ).

cnf(c_0_7476,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5274]) ).

cnf(c_0_7477,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2)
    | ~ c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5275]) ).

cnf(c_0_7478,plain,
    ( X1 = X2
    | c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5276]) ).

cnf(c_0_7479,plain,
    ( X1 = X2
    | c_plus(X3,X1,tc_nat) != c_plus(X3,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5277]) ).

cnf(c_0_7480,plain,
    ( X1 = X2
    | c_plus(X1,X3,tc_nat) != c_plus(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5278]) ).

cnf(c_0_7481,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | c_Numeral_Onumber__of(X1,X3) != c_Numeral_Onumber__of(X2,X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5279]) ).

cnf(c_0_7482,plain,
    ( c_times(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_times(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5280]) ).

cnf(c_0_7483,plain,
    ( c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5281]) ).

cnf(c_0_7484,plain,
    ( c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5282]) ).

cnf(c_0_7485,plain,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5283]) ).

cnf(c_0_7486,plain,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5284]) ).

cnf(c_0_7487,plain,
    ( c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5285]) ).

cnf(c_0_7488,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5286]) ).

cnf(c_0_7489,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5287]) ).

cnf(c_0_7490,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5288]) ).

cnf(c_0_7491,plain,
    ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(split_conjunct,[status(thm)],[c_0_5289]) ).

cnf(c_0_7492,plain,
    ( c_plus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5290]) ).

cnf(c_0_7493,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5291]) ).

cnf(c_0_7494,plain,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5292]) ).

cnf(c_0_7495,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5293]) ).

cnf(c_0_7496,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5294]) ).

cnf(c_0_7497,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5295]) ).

cnf(c_0_7498,plain,
    ( X1 = c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat)
    | c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5296]) ).

cnf(c_0_7499,plain,
    ( X1 = c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5297]) ).

cnf(c_0_7500,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5298]) ).

cnf(c_0_7501,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5299]) ).

cnf(c_0_7502,plain,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5300]) ).

cnf(c_0_7503,plain,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5301]) ).

cnf(c_0_7504,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5302]) ).

cnf(c_0_7505,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) != c_List_Orev(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5303]) ).

cnf(c_0_7506,plain,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = X1
    | X2 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5304]) ).

cnf(c_0_7507,plain,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5305]) ).

cnf(c_0_7508,plain,
    ( X1 = X2
    | c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5306]) ).

cnf(c_0_7509,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5307]) ).

cnf(c_0_7510,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5308]) ).

cnf(c_0_7511,plain,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5309]) ).

cnf(c_0_7512,plain,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5310]) ).

cnf(c_0_7513,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5311]) ).

cnf(c_0_7514,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5312]) ).

cnf(c_0_7515,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5313]) ).

cnf(c_0_7516,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5314]) ).

cnf(c_0_7517,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5315]) ).

cnf(c_0_7518,plain,
    ( c_minus(X1,X2,tc_set(X3)) = c_emptyset
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5316]) ).

cnf(c_0_7519,plain,
    ( c_List_Orotate1(X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5317]) ).

cnf(c_0_7520,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5318]) ).

cnf(c_0_7521,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5319]) ).

cnf(c_0_7522,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5320]) ).

cnf(c_0_7523,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5321]) ).

cnf(c_0_7524,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5322]) ).

cnf(c_0_7525,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5323]) ).

cnf(c_0_7526,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5324]) ).

cnf(c_0_7527,plain,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5325]) ).

cnf(c_0_7528,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X2),c_IntDef_Onat(X1),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5326]) ).

cnf(c_0_7529,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5327]) ).

cnf(c_0_7530,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5328]) ).

cnf(c_0_7531,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5329]) ).

cnf(c_0_7532,plain,
    ( c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(X2,X1,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5330]) ).

cnf(c_0_7533,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5331]) ).

cnf(c_0_7534,plain,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5332]) ).

cnf(c_0_7535,plain,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5333]) ).

cnf(c_0_7536,plain,
    ( c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5334]) ).

cnf(c_0_7537,plain,
    ( c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5335]) ).

cnf(c_0_7538,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5336]) ).

cnf(c_0_7539,plain,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5337]) ).

cnf(c_0_7540,plain,
    ( c_Nat_Opower(c_0,X1,X2) = c_0
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5338]) ).

cnf(c_0_7541,plain,
    ( c_SetInterval_OatLeastAtMost(X1,X2,X3) = c_emptyset
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5339]) ).

cnf(c_0_7542,plain,
    ( c_SetInterval_OatLeastLessThan(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5340]) ).

cnf(c_0_7543,plain,
    ( c_SetInterval_OgreaterThanAtMost(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5341]) ).

cnf(c_0_7544,plain,
    ( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5342]) ).

cnf(c_0_7545,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5343]) ).

cnf(c_0_7546,plain,
    ( c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5344]) ).

cnf(c_0_7547,plain,
    ( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5345]) ).

cnf(c_0_7548,plain,
    ( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5346]) ).

cnf(c_0_7549,plain,
    ( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5347]) ).

cnf(c_0_7550,plain,
    ( c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5348]) ).

cnf(c_0_7551,plain,
    ( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5349]) ).

cnf(c_0_7552,plain,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5350]) ).

cnf(c_0_7553,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5351]) ).

cnf(c_0_7554,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5352]) ).

cnf(c_0_7555,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(split_conjunct,[status(thm)],[c_0_5353]) ).

cnf(c_0_7556,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5354]) ).

cnf(c_0_7557,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5355]) ).

cnf(c_0_7558,plain,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5356]) ).

cnf(c_0_7559,plain,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5357]) ).

cnf(c_0_7560,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5358]) ).

cnf(c_0_7561,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5359]) ).

cnf(c_0_7562,plain,
    ( X1 = c_Datatype_Ooption_OSome(X2,X3)
    | ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5360]) ).

cnf(c_0_7563,plain,
    ( c_minus(X1,c_uminus(X2,X3),X3) = c_plus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5361]) ).

cnf(c_0_7564,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_0 != c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5362]) ).

cnf(c_0_7565,plain,
    ( c_List_Olist_ONil = c_List_Oconcat(X1,X2)
    | c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5363]) ).

cnf(c_0_7566,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5364]) ).

cnf(c_0_7567,plain,
    ( c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5365]) ).

cnf(c_0_7568,plain,
    ( c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5366]) ).

cnf(c_0_7569,plain,
    ( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5367]) ).

cnf(c_0_7570,plain,
    ( X1 = c_0
    | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5368]) ).

cnf(c_0_7571,plain,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5369]) ).

cnf(c_0_7572,plain,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5370]) ).

cnf(c_0_7573,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5371]) ).

cnf(c_0_7574,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5372]) ).

cnf(c_0_7575,plain,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5373]) ).

cnf(c_0_7576,plain,
    ( c_div(X1,X2,tc_nat) = c_0
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5374]) ).

cnf(c_0_7577,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5375]) ).

cnf(c_0_7578,plain,
    ( c_minus(X1,X2,tc_nat) = c_0
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5376]) ).

cnf(c_0_7579,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5377]) ).

cnf(c_0_7580,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5378]) ).

cnf(c_0_7581,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5379]) ).

cnf(c_0_7582,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5380]) ).

cnf(c_0_7583,plain,
    ( c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
    | X1 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5381]) ).

cnf(c_0_7584,plain,
    ( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5382]) ).

cnf(c_0_7585,plain,
    ( c_List_Olast(c_append(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5383]) ).

cnf(c_0_7586,plain,
    ( X1 = c_0
    | c_LOrder_Ojoin(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5384]) ).

cnf(c_0_7587,plain,
    ( X1 = c_0
    | c_LOrder_Omeet(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5385]) ).

cnf(c_0_7588,plain,
    ( c_plus(c_1,c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5386]) ).

cnf(c_0_7589,plain,
    ( c_div(X1,X1,tc_nat) = c_1
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5387]) ).

cnf(c_0_7590,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5388]) ).

cnf(c_0_7591,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5389]) ).

cnf(c_0_7592,plain,
    ( c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X2),X2) = c_divide(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5390]) ).

cnf(c_0_7593,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5391]) ).

cnf(c_0_7594,plain,
    ( ~ c_less(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5392]) ).

cnf(c_0_7595,plain,
    ( ~ c_less(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5393]) ).

cnf(c_0_7596,plain,
    ( ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5394]) ).

cnf(c_0_7597,plain,
    ( c_Finite__Set_OMax(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5395]) ).

cnf(c_0_7598,plain,
    ( c_Finite__Set_OMin(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5396]) ).

cnf(c_0_7599,plain,
    ( c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5397]) ).

cnf(c_0_7600,plain,
    ( c_0 = c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5398]) ).

cnf(c_0_7601,plain,
    ( c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5399]) ).

cnf(c_0_7602,plain,
    ( c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5400]) ).

cnf(c_0_7603,plain,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5401]) ).

cnf(c_0_7604,plain,
    ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5402]) ).

cnf(c_0_7605,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5403]) ).

cnf(c_0_7606,plain,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5404]) ).

cnf(c_0_7607,plain,
    ( c_divide(c_0,X1,X2) = c_divide(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5405]) ).

cnf(c_0_7608,plain,
    ( c_divide(X1,c_0,X2) = c_divide(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5406]) ).

cnf(c_0_7609,plain,
    ( X1 = c_UNIV
    | c_Inter(X2,X3) != c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5407]) ).

cnf(c_0_7610,plain,
    ( X1 = c_UNIV
    | c_UNIV != c_Inter(X2,X3)
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5408]) ).

cnf(c_0_7611,plain,
    ( X1 = c_emptyset
    | c_Union(X2,X3) != c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5409]) ).

cnf(c_0_7612,plain,
    ( X1 = c_emptyset
    | c_emptyset != c_Union(X2,X3)
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5410]) ).

cnf(c_0_7613,plain,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5411]) ).

cnf(c_0_7614,plain,
    ( c_HOL_Oabs(X1,X2) = c_uminus(X1,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5412]) ).

cnf(c_0_7615,plain,
    ( X1 = c_0
    | ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5413]) ).

cnf(c_0_7616,plain,
    ( X1 = c_emptyset
    | c_Finite__Set_Ocard(X1,X2) != c_0
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5414]) ).

cnf(c_0_7617,plain,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5415]) ).

cnf(c_0_7618,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5416]) ).

cnf(c_0_7619,plain,
    ( c_SetInterval_OatLeastAtMost(X1,X1,X2) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5417]) ).

cnf(c_0_7620,plain,
    ( c_times(c_0,X1,X2) = c_times(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5418]) ).

cnf(c_0_7621,plain,
    ( c_times(X1,c_0,X2) = c_times(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5419]) ).

cnf(c_0_7622,plain,
    ( c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5420]) ).

cnf(c_0_7623,plain,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5421]) ).

cnf(c_0_7624,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5422]) ).

cnf(c_0_7625,plain,
    ( c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5423]) ).

cnf(c_0_7626,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5424]) ).

cnf(c_0_7627,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5425]) ).

cnf(c_0_7628,plain,
    ( c_NatArith_Oof__nat(c_Suc(X1),X2) = c_plus(c_NatArith_Oof__nat(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5426]) ).

cnf(c_0_7629,plain,
    ( c_HOL_Oabs(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5427]) ).

cnf(c_0_7630,plain,
    ( c_OrderedGroup_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5428]) ).

cnf(c_0_7631,plain,
    ( c_OrderedGroup_Opprt(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5429]) ).

cnf(c_0_7632,plain,
    ( c_OrderedGroup_Onprt(X1,X2) = c_0
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5430]) ).

cnf(c_0_7633,plain,
    ( c_OrderedGroup_Opprt(X1,X2) = c_0
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5431]) ).

cnf(c_0_7634,plain,
    ( c_Finite__Set_Ocard(c_emptyset,X1) = c_0
    | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5432]) ).

cnf(c_0_7635,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_1
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5433]) ).

cnf(c_0_7636,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_divide(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5434]) ).

cnf(c_0_7637,plain,
    ( X1 = X2
    | c_divide(X1,X2,X3) != c_1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5435]) ).

cnf(c_0_7638,plain,
    ( X1 = X2
    | c_divide(X2,X1,X3) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5436]) ).

cnf(c_0_7639,plain,
    ( X1 = X2
    | c_1 != c_divide(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5437]) ).

cnf(c_0_7640,plain,
    ( X1 = X2
    | c_1 != c_divide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5438]) ).

cnf(c_0_7641,plain,
    ( X1 = c_0
    | c_Nat_Opower(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5439]) ).

cnf(c_0_7642,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5440]) ).

cnf(c_0_7643,plain,
    ( c_UNIV = c_Inter(X1,X2)
    | c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5441]) ).

cnf(c_0_7644,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5442]) ).

cnf(c_0_7645,plain,
    ( c_emptyset = c_Union(X1,X2)
    | c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5443]) ).

cnf(c_0_7646,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(X2) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5444]) ).

cnf(c_0_7647,plain,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5445]) ).

cnf(c_0_7648,plain,
    ( X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3)
    | c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5446]) ).

cnf(c_0_7649,plain,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5447]) ).

cnf(c_0_7650,plain,
    ( X1 = c_0
    | c_divide(c_1,X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5448]) ).

cnf(c_0_7651,plain,
    ( X1 = c_0
    | c_0 != c_divide(c_1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5449]) ).

cnf(c_0_7652,plain,
    ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5450]) ).

cnf(c_0_7653,plain,
    ( c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5451]) ).

cnf(c_0_7654,plain,
    ( c_List_Oupt(X1,X2) = c_List_Olist_ONil
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5452]) ).

cnf(c_0_7655,plain,
    ( c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5453]) ).

cnf(c_0_7656,plain,
    ( c_1 != c_divide(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5454]) ).

cnf(c_0_7657,plain,
    ( X1 = c_1
    | X2 = c_0
    | X2 != c_times(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5455]) ).

cnf(c_0_7658,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5456]) ).

cnf(c_0_7659,plain,
    ( X1 = c_1
    | X2 = c_0
    | X2 != c_times(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5457]) ).

cnf(c_0_7660,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5458]) ).

cnf(c_0_7661,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5459]) ).

cnf(c_0_7662,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5460]) ).

cnf(c_0_7663,plain,
    ( X1 = X2
    | c_minus(X1,X2,X3) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5461]) ).

cnf(c_0_7664,plain,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5462]) ).

cnf(c_0_7665,plain,
    ( c_HOL_Oabs(c_HOL_Oinverse(X1,X2),X2) = c_HOL_Oinverse(c_HOL_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5463]) ).

cnf(c_0_7666,plain,
    ( c_HOL_Oinverse(c_uminus(X1,X2),X2) = c_uminus(c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5464]) ).

cnf(c_0_7667,plain,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5465]) ).

cnf(c_0_7668,plain,
    ( ~ c_less(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5466]) ).

cnf(c_0_7669,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5467]) ).

cnf(c_0_7670,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5468]) ).

cnf(c_0_7671,plain,
    ( X1 = c_Suc(c_0)
    | ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5469]) ).

cnf(c_0_7672,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_0 != c_Numeral_Onumber__of(X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5470]) ).

cnf(c_0_7673,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5471]) ).

cnf(c_0_7674,plain,
    ( X1 = c_List_Olist_ONil
    | c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5472]) ).

cnf(c_0_7675,plain,
    ( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
    | c_List_Oremdups(X1,X2) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_5473]) ).

cnf(c_0_7676,plain,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5474]) ).

cnf(c_0_7677,plain,
    ( c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5475]) ).

cnf(c_0_7678,plain,
    ( c_times(X1,c_HOL_Oinverse(X1,X2),X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5476]) ).

cnf(c_0_7679,plain,
    ( X1 = c_List_Olist_ONil
    | X2 = c_0
    | c_List_Otake(X2,X1,X3) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5477]) ).

cnf(c_0_7680,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_5478]) ).

cnf(c_0_7681,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_5479]) ).

cnf(c_0_7682,plain,
    ( X1 = c_List_Olist_ONil
    | X2 != c_append(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5480]) ).

cnf(c_0_7683,plain,
    ( X1 = c_List_Olist_ONil
    | X2 != c_append(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5481]) ).

cnf(c_0_7684,plain,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5482]) ).

cnf(c_0_7685,plain,
    ( X1 = c_1
    | c_times(X2,X1,tc_nat) != c_Suc(c_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5483]) ).

cnf(c_0_7686,plain,
    ( X1 = c_1
    | c_Suc(c_0) != c_times(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5484]) ).

cnf(c_0_7687,plain,
    ( X1 = c_1
    | c_Suc(c_0) != c_times(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5485]) ).

cnf(c_0_7688,plain,
    ( ~ c_lessequals(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5486]) ).

cnf(c_0_7689,plain,
    ( ~ c_less(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5487]) ).

cnf(c_0_7690,plain,
    ( c_plus(c_uminus(X1,X2),X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5488]) ).

cnf(c_0_7691,plain,
    ( c_plus(X1,c_uminus(X1,X2),X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5489]) ).

cnf(c_0_7692,plain,
    ( X1 = c_0
    | c_less(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5490]) ).

cnf(c_0_7693,plain,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5491]) ).

cnf(c_0_7694,plain,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5492]) ).

cnf(c_0_7695,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5493]) ).

cnf(c_0_7696,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5494]) ).

cnf(c_0_7697,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5495]) ).

cnf(c_0_7698,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5496]) ).

cnf(c_0_7699,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5497]) ).

cnf(c_0_7700,plain,
    ( X1 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    inference(split_conjunct,[status(thm)],[c_0_5498]) ).

cnf(c_0_7701,plain,
    ( X1 = c_UNIV
    | c_inter(X2,X1,X3) != c_UNIV ),
    inference(split_conjunct,[status(thm)],[c_0_5499]) ).

cnf(c_0_7702,plain,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5500]) ).

cnf(c_0_7703,plain,
    ( X1 = c_emptyset
    | c_union(X2,X1,X3) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5501]) ).

cnf(c_0_7704,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5502]) ).

cnf(c_0_7705,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5503]) ).

cnf(c_0_7706,plain,
    ( c_in(c_NatArith_Oof__nat(X1,X2),c_IntDef_ONats,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5504]) ).

cnf(c_0_7707,plain,
    ( c_lessequals(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5505]) ).

cnf(c_0_7708,plain,
    ( c_lessequals(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5506]) ).

cnf(c_0_7709,plain,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5507]) ).

cnf(c_0_7710,plain,
    ( c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5508]) ).

cnf(c_0_7711,plain,
    ( c_IntDef_Onat(X1) = c_0
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5509]) ).

cnf(c_0_7712,plain,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5510]) ).

cnf(c_0_7713,plain,
    ( X1 = c_0
    | c_plus(X2,X1,tc_nat) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5511]) ).

cnf(c_0_7714,plain,
    ( c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X2) = c_uminus(c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5512]) ).

cnf(c_0_7715,plain,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5513]) ).

cnf(c_0_7716,plain,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5514]) ).

cnf(c_0_7717,plain,
    ( c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5515]) ).

cnf(c_0_7718,plain,
    ( c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5516]) ).

cnf(c_0_7719,plain,
    ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5517]) ).

cnf(c_0_7720,plain,
    ( c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5518]) ).

cnf(c_0_7721,plain,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5519]) ).

cnf(c_0_7722,plain,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5520]) ).

cnf(c_0_7723,plain,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5521]) ).

cnf(c_0_7724,plain,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5522]) ).

cnf(c_0_7725,plain,
    ( X1 = c_emptyset
    | c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5523]) ).

cnf(c_0_7726,plain,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5524]) ).

cnf(c_0_7727,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5525]) ).

cnf(c_0_7728,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5526]) ).

cnf(c_0_7729,plain,
    ( X1 = c_0
    | c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X2,X1) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5527]) ).

cnf(c_0_7730,plain,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_OHPair(X2,X3) != c_Message_Omsg_OMPair(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5528]) ).

cnf(c_0_7731,plain,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_Omsg_OMPair(X1,X4) != c_Message_OHPair(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5529]) ).

cnf(c_0_7732,plain,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5530]) ).

cnf(c_0_7733,plain,
    ( c_minus(c_0,X1,X2) = c_uminus(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5531]) ).

cnf(c_0_7734,plain,
    ( c_Finite__Set_Ocard(X1,X2) = c_0
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5532]) ).

cnf(c_0_7735,plain,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil
    | c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5533]) ).

cnf(c_0_7736,plain,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5534]) ).

cnf(c_0_7737,plain,
    ( c_divide(X1,X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5535]) ).

cnf(c_0_7738,plain,
    ( c_1 = c_divide(X1,X1,X2)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5536]) ).

cnf(c_0_7739,plain,
    ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5537]) ).

cnf(c_0_7740,plain,
    ( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5538]) ).

cnf(c_0_7741,plain,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5539]) ).

cnf(c_0_7742,plain,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5540]) ).

cnf(c_0_7743,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5541]) ).

cnf(c_0_7744,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5542]) ).

cnf(c_0_7745,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5543]) ).

cnf(c_0_7746,plain,
    ( c_divide(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5544]) ).

cnf(c_0_7747,plain,
    ( c_divide(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5545]) ).

cnf(c_0_7748,plain,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5546]) ).

cnf(c_0_7749,plain,
    ( c_uminus(c_SetInterval_OatLeast(X1,X2),tc_set(X2)) = c_SetInterval_OlessThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5547]) ).

cnf(c_0_7750,plain,
    ( c_uminus(c_SetInterval_OatMost(X1,X2),tc_set(X2)) = c_SetInterval_OgreaterThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5548]) ).

cnf(c_0_7751,plain,
    ( c_uminus(c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) = c_SetInterval_OatMost(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5549]) ).

cnf(c_0_7752,plain,
    ( c_uminus(c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_SetInterval_OatLeast(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5550]) ).

cnf(c_0_7753,plain,
    ( c_Nat_Opower(c_0,c_Suc(X1),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5551]) ).

cnf(c_0_7754,plain,
    ( c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5552]) ).

cnf(c_0_7755,plain,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5553]) ).

cnf(c_0_7756,plain,
    ( c_0 = c_divide(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5554]) ).

cnf(c_0_7757,plain,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5555]) ).

cnf(c_0_7758,plain,
    ( X1 = X2
    | c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5556]) ).

cnf(c_0_7759,plain,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5557]) ).

cnf(c_0_7760,plain,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5558]) ).

cnf(c_0_7761,plain,
    ( c_LOrder_Ojoin(X1,X1,X2) = X1
    | ~ class_LOrder_Ojoin__semilorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5559]) ).

cnf(c_0_7762,plain,
    ( c_LOrder_Omeet(X1,X1,X2) = X1
    | ~ class_LOrder_Omeet__semilorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5560]) ).

cnf(c_0_7763,plain,
    ( c_Orderings_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5561]) ).

cnf(c_0_7764,plain,
    ( c_Orderings_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5562]) ).

cnf(c_0_7765,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0
    | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5563]) ).

cnf(c_0_7766,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5564]) ).

cnf(c_0_7767,plain,
    ( c_minus(X1,X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5565]) ).

cnf(c_0_7768,plain,
    ( c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5566]) ).

cnf(c_0_7769,plain,
    ( c_HOL_Oabs(c_uminus(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5567]) ).

cnf(c_0_7770,plain,
    ( c_plus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5568]) ).

cnf(c_0_7771,plain,
    ( c_plus(c_0,X1,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5569]) ).

cnf(c_0_7772,plain,
    ( c_minus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5570]) ).

cnf(c_0_7773,plain,
    ( c_times(c_1,X1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5571]) ).

cnf(c_0_7774,plain,
    ( c_times(X1,c_1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5572]) ).

cnf(c_0_7775,plain,
    ( c_Nat_Opower(X1,c_1,X2) = X1
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5573]) ).

cnf(c_0_7776,plain,
    ( c_divide(X1,c_1,X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5574]) ).

cnf(c_0_7777,plain,
    ( X1 = c_times(X1,c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5575]) ).

cnf(c_0_7778,plain,
    ( X1 = c_times(c_1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5576]) ).

cnf(c_0_7779,plain,
    ( X1 = X2
    | c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5577]) ).

cnf(c_0_7780,plain,
    ( c_Nat_Opower(c_1,X1,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5578]) ).

cnf(c_0_7781,plain,
    ( c_Nat_Opower(X1,c_0,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5579]) ).

cnf(c_0_7782,plain,
    ( c_0 = c_times(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5580]) ).

cnf(c_0_7783,plain,
    ( c_0 = c_times(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5581]) ).

cnf(c_0_7784,plain,
    ( c_times(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5582]) ).

cnf(c_0_7785,plain,
    ( c_times(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5583]) ).

cnf(c_0_7786,plain,
    ( c_in(c_0,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5584]) ).

cnf(c_0_7787,plain,
    ( c_in(c_1,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5585]) ).

cnf(c_0_7788,plain,
    ( c_in(c_0,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5586]) ).

cnf(c_0_7789,plain,
    ( c_in(c_1,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5587]) ).

cnf(c_0_7790,plain,
    ( c_less(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5588]) ).

cnf(c_0_7791,plain,
    ( c_lessequals(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5589]) ).

cnf(c_0_7792,plain,
    ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5590]) ).

cnf(c_0_7793,plain,
    ( c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5591]) ).

cnf(c_0_7794,plain,
    ( c_HOL_Oinverse(c_HOL_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5592]) ).

cnf(c_0_7795,plain,
    ( c_div(X1,X1,tc_IntDef_Oint) = c_1
    | X1 = c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5593]) ).

cnf(c_0_7796,plain,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_5594]) ).

cnf(c_0_7797,plain,
    ( X1 = X2
    | c_IntDef_Oof__int(X1,X3) != c_IntDef_Oof__int(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5595]) ).

cnf(c_0_7798,plain,
    ( X1 = X2
    | c_NatArith_Oof__nat(X1,X3) != c_NatArith_Oof__nat(X2,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5596]) ).

cnf(c_0_7799,plain,
    ( X1 = X2
    | c_uminus(X1,X3) != c_uminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5597]) ).

cnf(c_0_7800,plain,
    ( X1 = X2
    | c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5598]) ).

cnf(c_0_7801,plain,
    ( X1 = X2
    | c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5599]) ).

cnf(c_0_7802,plain,
    ( X1 = X2
    | c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5600]) ).

cnf(c_0_7803,plain,
    ( X1 = X2
    | c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5601]) ).

cnf(c_0_7804,plain,
    ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5602]) ).

cnf(c_0_7805,plain,
    ( X1 = c_0
    | c_less(c_0,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5603]) ).

cnf(c_0_7806,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5604]) ).

cnf(c_0_7807,plain,
    ( c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5605]) ).

cnf(c_0_7808,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5606]) ).

cnf(c_0_7809,plain,
    ( X1 = c_uminus(c_1,X2)
    | c_uminus(X1,X2) != c_1
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5607]) ).

cnf(c_0_7810,plain,
    ( ~ c_Parity_Oeven(c_Suc(X1),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5608]) ).

cnf(c_0_7811,plain,
    ( c_uminus(c_uminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5609]) ).

cnf(c_0_7812,plain,
    ( X1 = X2
    | c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5610]) ).

cnf(c_0_7813,plain,
    ( X1 = X2
    | c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5611]) ).

cnf(c_0_7814,plain,
    ( X1 = X2
    | c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5612]) ).

cnf(c_0_7815,plain,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5613]) ).

cnf(c_0_7816,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5614]) ).

cnf(c_0_7817,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5615]) ).

cnf(c_0_7818,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5616]) ).

cnf(c_0_7819,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5617]) ).

cnf(c_0_7820,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5618]) ).

cnf(c_0_7821,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5619]) ).

cnf(c_0_7822,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5620]) ).

cnf(c_0_7823,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5621]) ).

cnf(c_0_7824,plain,
    ( X1 = X2
    | c_Message_OHPair(X1,X3) != c_Message_OHPair(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5622]) ).

cnf(c_0_7825,plain,
    ( X1 = X2
    | c_Message_OHPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5623]) ).

cnf(c_0_7826,plain,
    ( X1 = X2
    | c_Message_OHPair(X3,X2) != c_Message_Omsg_OMPair(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5624]) ).

cnf(c_0_7827,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5625]) ).

cnf(c_0_7828,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5626]) ).

cnf(c_0_7829,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5627]) ).

cnf(c_0_7830,plain,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5628]) ).

cnf(c_0_7831,plain,
    ( class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5629]) ).

cnf(c_0_7832,plain,
    ( class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5630]) ).

cnf(c_0_7833,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5631]) ).

cnf(c_0_7834,plain,
    ( X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2)
    | X1 = c_Datatype_Ooption_ONone ),
    inference(split_conjunct,[status(thm)],[c_0_5632]) ).

cnf(c_0_7835,plain,
    ( X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2)
    | X1 = c_Datatype_Ooption_ONone ),
    inference(split_conjunct,[status(thm)],[c_0_5633]) ).

cnf(c_0_7836,plain,
    ( c_IntDef_Oof__int(c_IntDef_Oint(X1),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5634]) ).

cnf(c_0_7837,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5635]) ).

cnf(c_0_7838,plain,
    ( X1 = c_1
    | c_HOL_Oinverse(X1,X2) != c_1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5636]) ).

cnf(c_0_7839,plain,
    ( X1 = c_0
    | c_HOL_Oinverse(X1,X2) != c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5637]) ).

cnf(c_0_7840,plain,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5638]) ).

cnf(c_0_7841,plain,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5639]) ).

cnf(c_0_7842,plain,
    ( c_List_Olist_ONil = c_List_Oconcat(X1,X2)
    | c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5640]) ).

cnf(c_0_7843,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5641]) ).

cnf(c_0_7844,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV ),
    inference(split_conjunct,[status(thm)],[c_0_5642]) ).

cnf(c_0_7845,plain,
    ( c_UNIV = c_Inter(X1,X2)
    | c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV ),
    inference(split_conjunct,[status(thm)],[c_0_5643]) ).

cnf(c_0_7846,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5644]) ).

cnf(c_0_7847,plain,
    ( c_emptyset = c_Union(X1,X2)
    | c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5645]) ).

cnf(c_0_7848,plain,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5646]) ).

cnf(c_0_7849,plain,
    ( c_uminus(c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5647]) ).

cnf(c_0_7850,plain,
    ( c_Parity_Oeven(c_Suc(X1),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_5648]) ).

cnf(c_0_7851,plain,
    ( c_0 = X1
    | c_0 != c_IntDef_Oof__int(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5649]) ).

cnf(c_0_7852,plain,
    ( X1 = c_0
    | c_IntDef_Oof__int(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5650]) ).

cnf(c_0_7853,plain,
    ( c_0 = X1
    | c_0 != c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5651]) ).

cnf(c_0_7854,plain,
    ( X1 = c_0
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5652]) ).

cnf(c_0_7855,plain,
    ( X1 = c_0
    | c_0 != c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5653]) ).

cnf(c_0_7856,plain,
    ( X1 = c_0
    | c_HOL_Oabs(X1,X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5654]) ).

cnf(c_0_7857,plain,
    ( c_0 = X1
    | c_0 != c_uminus(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5655]) ).

cnf(c_0_7858,plain,
    ( X1 = c_0
    | c_uminus(X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5656]) ).

cnf(c_0_7859,plain,
    ( ~ c_IntDef_Oiszero(c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5657]) ).

cnf(c_0_7860,plain,
    ( ~ c_IntDef_Oneg(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5658]) ).

cnf(c_0_7861,plain,
    ( ~ c_IntDef_Oneg(c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5659]) ).

cnf(c_0_7862,plain,
    ( c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5660]) ).

cnf(c_0_7863,plain,
    ( c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5661]) ).

cnf(c_0_7864,plain,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Oo2s(X1,X2) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5662]) ).

cnf(c_0_7865,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5663]) ).

cnf(c_0_7866,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5664]) ).

cnf(c_0_7867,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Oremdups(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5665]) ).

cnf(c_0_7868,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5666]) ).

cnf(c_0_7869,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil ),
    inference(split_conjunct,[status(thm)],[c_0_5667]) ).

cnf(c_0_7870,plain,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5668]) ).

cnf(c_0_7871,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    inference(split_conjunct,[status(thm)],[c_0_5669]) ).

cnf(c_0_7872,plain,
    ( c_0 = c_IntDef_Oof__int(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5670]) ).

cnf(c_0_7873,plain,
    ( c_IntDef_Oof__int(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5671]) ).

cnf(c_0_7874,plain,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5672]) ).

cnf(c_0_7875,plain,
    ( c_0 = c_NatArith_Oof__nat(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5673]) ).

cnf(c_0_7876,plain,
    ( c_NatArith_Oof__nat(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5674]) ).

cnf(c_0_7877,plain,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5675]) ).

cnf(c_0_7878,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5676]) ).

cnf(c_0_7879,plain,
    ( c_0 = c_HOL_Oabs(c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5677]) ).

cnf(c_0_7880,plain,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5678]) ).

cnf(c_0_7881,plain,
    ( c_0 = c_uminus(c_0,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5679]) ).

cnf(c_0_7882,plain,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5680]) ).

cnf(c_0_7883,plain,
    ( c_OrderedGroup_Onprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5681]) ).

cnf(c_0_7884,plain,
    ( c_OrderedGroup_Opprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5682]) ).

cnf(c_0_7885,plain,
    ( c_HOL_Oabs(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5683]) ).

cnf(c_0_7886,plain,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5684]) ).

cnf(c_0_7887,plain,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5685]) ).

cnf(c_0_7888,plain,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5686]) ).

cnf(c_0_7889,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5687]) ).

cnf(c_0_7890,plain,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5688]) ).

cnf(c_0_7891,plain,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5689]) ).

cnf(c_0_7892,plain,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5690]) ).

cnf(c_0_7893,plain,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5691]) ).

cnf(c_0_7894,plain,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5692]) ).

cnf(c_0_7895,plain,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5693]) ).

cnf(c_0_7896,plain,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5694]) ).

cnf(c_0_7897,plain,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5695]) ).

cnf(c_0_7898,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5696]) ).

cnf(c_0_7899,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5697]) ).

cnf(c_0_7900,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5698]) ).

cnf(c_0_7901,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5699]) ).

cnf(c_0_7902,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5700]) ).

cnf(c_0_7903,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5701]) ).

cnf(c_0_7904,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5702]) ).

cnf(c_0_7905,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5703]) ).

cnf(c_0_7906,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5704]) ).

cnf(c_0_7907,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5705]) ).

cnf(c_0_7908,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5706]) ).

cnf(c_0_7909,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5707]) ).

cnf(c_0_7910,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5708]) ).

cnf(c_0_7911,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5709]) ).

cnf(c_0_7912,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5710]) ).

cnf(c_0_7913,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5711]) ).

cnf(c_0_7914,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5712]) ).

cnf(c_0_7915,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5713]) ).

cnf(c_0_7916,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5714]) ).

cnf(c_0_7917,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5715]) ).

cnf(c_0_7918,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5716]) ).

cnf(c_0_7919,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5717]) ).

cnf(c_0_7920,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5718]) ).

cnf(c_0_7921,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5719]) ).

cnf(c_0_7922,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5720]) ).

cnf(c_0_7923,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5721]) ).

cnf(c_0_7924,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5722]) ).

cnf(c_0_7925,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5723]) ).

cnf(c_0_7926,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5724]) ).

cnf(c_0_7927,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5725]) ).

cnf(c_0_7928,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5726]) ).

cnf(c_0_7929,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5727]) ).

cnf(c_0_7930,plain,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5728]) ).

cnf(c_0_7931,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5729]) ).

cnf(c_0_7932,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5730]) ).

cnf(c_0_7933,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5731]) ).

cnf(c_0_7934,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5732]) ).

cnf(c_0_7935,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5733]) ).

cnf(c_0_7936,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5734]) ).

cnf(c_0_7937,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5735]) ).

cnf(c_0_7938,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5736]) ).

cnf(c_0_7939,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5737]) ).

cnf(c_0_7940,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5738]) ).

cnf(c_0_7941,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5739]) ).

cnf(c_0_7942,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5740]) ).

cnf(c_0_7943,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5741]) ).

cnf(c_0_7944,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5742]) ).

cnf(c_0_7945,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5743]) ).

cnf(c_0_7946,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5744]) ).

cnf(c_0_7947,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5745]) ).

cnf(c_0_7948,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5746]) ).

cnf(c_0_7949,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5747]) ).

cnf(c_0_7950,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5748]) ).

cnf(c_0_7951,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5749]) ).

cnf(c_0_7952,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5750]) ).

cnf(c_0_7953,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5751]) ).

cnf(c_0_7954,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5752]) ).

cnf(c_0_7955,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5753]) ).

cnf(c_0_7956,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5754]) ).

cnf(c_0_7957,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5755]) ).

cnf(c_0_7958,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5756]) ).

cnf(c_0_7959,plain,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5757]) ).

cnf(c_0_7960,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5758]) ).

cnf(c_0_7961,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5759]) ).

cnf(c_0_7962,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5760]) ).

cnf(c_0_7963,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5761]) ).

cnf(c_0_7964,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5762]) ).

cnf(c_0_7965,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5763]) ).

cnf(c_0_7966,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5764]) ).

cnf(c_0_7967,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5765]) ).

cnf(c_0_7968,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5766]) ).

cnf(c_0_7969,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5767]) ).

cnf(c_0_7970,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5768]) ).

cnf(c_0_7971,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5769]) ).

cnf(c_0_7972,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5770]) ).

cnf(c_0_7973,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5771]) ).

cnf(c_0_7974,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5772]) ).

cnf(c_0_7975,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5773]) ).

cnf(c_0_7976,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5774]) ).

cnf(c_0_7977,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5775]) ).

cnf(c_0_7978,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5776]) ).

cnf(c_0_7979,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5777]) ).

cnf(c_0_7980,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5778]) ).

cnf(c_0_7981,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5779]) ).

cnf(c_0_7982,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5780]) ).

cnf(c_0_7983,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5781]) ).

cnf(c_0_7984,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5782]) ).

cnf(c_0_7985,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5783]) ).

cnf(c_0_7986,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5784]) ).

cnf(c_0_7987,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5785]) ).

cnf(c_0_7988,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5786]) ).

cnf(c_0_7989,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5787]) ).

cnf(c_0_7990,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5788]) ).

cnf(c_0_7991,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5789]) ).

cnf(c_0_7992,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5790]) ).

cnf(c_0_7993,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5791]) ).

cnf(c_0_7994,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5792]) ).

cnf(c_0_7995,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5793]) ).

cnf(c_0_7996,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5794]) ).

cnf(c_0_7997,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5795]) ).

cnf(c_0_7998,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5796]) ).

cnf(c_0_7999,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5797]) ).

cnf(c_0_8000,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5798]) ).

cnf(c_0_8001,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5799]) ).

cnf(c_0_8002,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5800]) ).

cnf(c_0_8003,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5801]) ).

cnf(c_0_8004,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5802]) ).

cnf(c_0_8005,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5803]) ).

cnf(c_0_8006,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5804]) ).

cnf(c_0_8007,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5805]) ).

cnf(c_0_8008,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5806]) ).

cnf(c_0_8009,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5807]) ).

cnf(c_0_8010,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5808]) ).

cnf(c_0_8011,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5809]) ).

cnf(c_0_8012,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5810]) ).

cnf(c_0_8013,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5811]) ).

cnf(c_0_8014,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5812]) ).

cnf(c_0_8015,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5813]) ).

cnf(c_0_8016,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5814]) ).

cnf(c_0_8017,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5815]) ).

cnf(c_0_8018,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5816]) ).

cnf(c_0_8019,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5817]) ).

cnf(c_0_8020,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5818]) ).

cnf(c_0_8021,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5819]) ).

cnf(c_0_8022,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5820]) ).

cnf(c_0_8023,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5821]) ).

cnf(c_0_8024,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5822]) ).

cnf(c_0_8025,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5823]) ).

cnf(c_0_8026,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5824]) ).

cnf(c_0_8027,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5825]) ).

cnf(c_0_8028,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5826]) ).

cnf(c_0_8029,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5827]) ).

cnf(c_0_8030,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5828]) ).

cnf(c_0_8031,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5829]) ).

cnf(c_0_8032,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5830]) ).

cnf(c_0_8033,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5831]) ).

cnf(c_0_8034,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5832]) ).

cnf(c_0_8035,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5833]) ).

cnf(c_0_8036,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5834]) ).

cnf(c_0_8037,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5835]) ).

cnf(c_0_8038,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5836]) ).

cnf(c_0_8039,plain,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5837]) ).

cnf(c_0_8040,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5838]) ).

cnf(c_0_8041,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5839]) ).

cnf(c_0_8042,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5840]) ).

cnf(c_0_8043,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5841]) ).

cnf(c_0_8044,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5842]) ).

cnf(c_0_8045,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5843]) ).

cnf(c_0_8046,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5844]) ).

cnf(c_0_8047,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5845]) ).

cnf(c_0_8048,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5846]) ).

cnf(c_0_8049,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5847]) ).

cnf(c_0_8050,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5848]) ).

cnf(c_0_8051,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5849]) ).

cnf(c_0_8052,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5850]) ).

cnf(c_0_8053,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5851]) ).

cnf(c_0_8054,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5852]) ).

cnf(c_0_8055,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5853]) ).

cnf(c_0_8056,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5854]) ).

cnf(c_0_8057,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5855]) ).

cnf(c_0_8058,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5856]) ).

cnf(c_0_8059,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5857]) ).

cnf(c_0_8060,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5858]) ).

cnf(c_0_8061,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5859]) ).

cnf(c_0_8062,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5860]) ).

cnf(c_0_8063,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5861]) ).

cnf(c_0_8064,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5862]) ).

cnf(c_0_8065,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5863]) ).

cnf(c_0_8066,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5864]) ).

cnf(c_0_8067,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5865]) ).

cnf(c_0_8068,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5866]) ).

cnf(c_0_8069,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5867]) ).

cnf(c_0_8070,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5868]) ).

cnf(c_0_8071,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5869]) ).

cnf(c_0_8072,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5870]) ).

cnf(c_0_8073,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5871]) ).

cnf(c_0_8074,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5872]) ).

cnf(c_0_8075,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5873]) ).

cnf(c_0_8076,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5874]) ).

cnf(c_0_8077,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5875]) ).

cnf(c_0_8078,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5876]) ).

cnf(c_0_8079,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5877]) ).

cnf(c_0_8080,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5878]) ).

cnf(c_0_8081,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5879]) ).

cnf(c_0_8082,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5880]) ).

cnf(c_0_8083,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5881]) ).

cnf(c_0_8084,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5882]) ).

cnf(c_0_8085,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5883]) ).

cnf(c_0_8086,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5884]) ).

cnf(c_0_8087,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5885]) ).

cnf(c_0_8088,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5886]) ).

cnf(c_0_8089,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5887]) ).

cnf(c_0_8090,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5888]) ).

cnf(c_0_8091,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5889]) ).

cnf(c_0_8092,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5890]) ).

cnf(c_0_8093,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5891]) ).

cnf(c_0_8094,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5892]) ).

cnf(c_0_8095,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5893]) ).

cnf(c_0_8096,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5894]) ).

cnf(c_0_8097,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5895]) ).

cnf(c_0_8098,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5896]) ).

cnf(c_0_8099,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5897]) ).

cnf(c_0_8100,plain,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5898]) ).

cnf(c_0_8101,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5899]) ).

cnf(c_0_8102,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5900]) ).

cnf(c_0_8103,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5901]) ).

cnf(c_0_8104,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5902]) ).

cnf(c_0_8105,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5903]) ).

cnf(c_0_8106,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5904]) ).

cnf(c_0_8107,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5905]) ).

cnf(c_0_8108,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5906]) ).

cnf(c_0_8109,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5907]) ).

cnf(c_0_8110,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5908]) ).

cnf(c_0_8111,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5909]) ).

cnf(c_0_8112,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5910]) ).

cnf(c_0_8113,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5911]) ).

cnf(c_0_8114,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5912]) ).

cnf(c_0_8115,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5913]) ).

cnf(c_0_8116,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5914]) ).

cnf(c_0_8117,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5915]) ).

cnf(c_0_8118,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5916]) ).

cnf(c_0_8119,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5917]) ).

cnf(c_0_8120,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5918]) ).

cnf(c_0_8121,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5919]) ).

cnf(c_0_8122,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5920]) ).

cnf(c_0_8123,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5921]) ).

cnf(c_0_8124,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5922]) ).

cnf(c_0_8125,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5923]) ).

cnf(c_0_8126,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5924]) ).

cnf(c_0_8127,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5925]) ).

cnf(c_0_8128,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5926]) ).

cnf(c_0_8129,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5927]) ).

cnf(c_0_8130,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5928]) ).

cnf(c_0_8131,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5929]) ).

cnf(c_0_8132,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5930]) ).

cnf(c_0_8133,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5931]) ).

cnf(c_0_8134,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5932]) ).

cnf(c_0_8135,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5933]) ).

cnf(c_0_8136,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5934]) ).

cnf(c_0_8137,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5935]) ).

cnf(c_0_8138,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5936]) ).

cnf(c_0_8139,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5937]) ).

cnf(c_0_8140,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5938]) ).

cnf(c_0_8141,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5939]) ).

cnf(c_0_8142,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5940]) ).

cnf(c_0_8143,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5941]) ).

cnf(c_0_8144,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5942]) ).

cnf(c_0_8145,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5943]) ).

cnf(c_0_8146,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5944]) ).

cnf(c_0_8147,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5945]) ).

cnf(c_0_8148,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5946]) ).

cnf(c_0_8149,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5947]) ).

cnf(c_0_8150,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5948]) ).

cnf(c_0_8151,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5949]) ).

cnf(c_0_8152,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5950]) ).

cnf(c_0_8153,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5951]) ).

cnf(c_0_8154,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5952]) ).

cnf(c_0_8155,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5953]) ).

cnf(c_0_8156,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5954]) ).

cnf(c_0_8157,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5955]) ).

cnf(c_0_8158,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5956]) ).

cnf(c_0_8159,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5957]) ).

cnf(c_0_8160,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5958]) ).

cnf(c_0_8161,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5959]) ).

cnf(c_0_8162,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5960]) ).

cnf(c_0_8163,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5961]) ).

cnf(c_0_8164,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5962]) ).

cnf(c_0_8165,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5963]) ).

cnf(c_0_8166,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5964]) ).

cnf(c_0_8167,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5965]) ).

cnf(c_0_8168,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5966]) ).

cnf(c_0_8169,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5967]) ).

cnf(c_0_8170,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5968]) ).

cnf(c_0_8171,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5969]) ).

cnf(c_0_8172,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5970]) ).

cnf(c_0_8173,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5971]) ).

cnf(c_0_8174,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5972]) ).

cnf(c_0_8175,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5973]) ).

cnf(c_0_8176,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5974]) ).

cnf(c_0_8177,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5975]) ).

cnf(c_0_8178,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5976]) ).

cnf(c_0_8179,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5977]) ).

cnf(c_0_8180,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5978]) ).

cnf(c_0_8181,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5979]) ).

cnf(c_0_8182,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5980]) ).

cnf(c_0_8183,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5981]) ).

cnf(c_0_8184,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5982]) ).

cnf(c_0_8185,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5983]) ).

cnf(c_0_8186,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5984]) ).

cnf(c_0_8187,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5985]) ).

cnf(c_0_8188,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5986]) ).

cnf(c_0_8189,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5987]) ).

cnf(c_0_8190,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5988]) ).

cnf(c_0_8191,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5989]) ).

cnf(c_0_8192,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5990]) ).

cnf(c_0_8193,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5991]) ).

cnf(c_0_8194,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5992]) ).

cnf(c_0_8195,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5993]) ).

cnf(c_0_8196,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5994]) ).

cnf(c_0_8197,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5995]) ).

cnf(c_0_8198,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5996]) ).

cnf(c_0_8199,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5997]) ).

cnf(c_0_8200,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5998]) ).

cnf(c_0_8201,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5999]) ).

cnf(c_0_8202,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6000]) ).

cnf(c_0_8203,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6001]) ).

cnf(c_0_8204,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6002]) ).

cnf(c_0_8205,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6003]) ).

cnf(c_0_8206,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6004]) ).

cnf(c_0_8207,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6005]) ).

cnf(c_0_8208,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6006]) ).

cnf(c_0_8209,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6007]) ).

cnf(c_0_8210,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6008]) ).

cnf(c_0_8211,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6009]) ).

cnf(c_0_8212,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6010]) ).

cnf(c_0_8213,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6011]) ).

cnf(c_0_8214,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6012]) ).

cnf(c_0_8215,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6013]) ).

cnf(c_0_8216,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6014]) ).

cnf(c_0_8217,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6015]) ).

cnf(c_0_8218,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6016]) ).

cnf(c_0_8219,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6017]) ).

cnf(c_0_8220,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6018]) ).

cnf(c_0_8221,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6019]) ).

cnf(c_0_8222,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6020]) ).

cnf(c_0_8223,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6021]) ).

cnf(c_0_8224,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6022]) ).

cnf(c_0_8225,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6023]) ).

cnf(c_0_8226,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6024]) ).

cnf(c_0_8227,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6025]) ).

cnf(c_0_8228,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6026]) ).

cnf(c_0_8229,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6027]) ).

cnf(c_0_8230,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6028]) ).

cnf(c_0_8231,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6029]) ).

cnf(c_0_8232,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6030]) ).

cnf(c_0_8233,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6031]) ).

cnf(c_0_8234,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6032]) ).

cnf(c_0_8235,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6033]) ).

cnf(c_0_8236,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6034]) ).

cnf(c_0_8237,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6035]) ).

cnf(c_0_8238,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6036]) ).

cnf(c_0_8239,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6037]) ).

cnf(c_0_8240,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6038]) ).

cnf(c_0_8241,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6039]) ).

cnf(c_0_8242,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6040]) ).

cnf(c_0_8243,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6041]) ).

cnf(c_0_8244,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6042]) ).

cnf(c_0_8245,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6043]) ).

cnf(c_0_8246,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6044]) ).

cnf(c_0_8247,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6045]) ).

cnf(c_0_8248,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6046]) ).

cnf(c_0_8249,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6047]) ).

cnf(c_0_8250,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6048]) ).

cnf(c_0_8251,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6049]) ).

cnf(c_0_8252,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6050]) ).

cnf(c_0_8253,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6051]) ).

cnf(c_0_8254,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6052]) ).

cnf(c_0_8255,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6053]) ).

cnf(c_0_8256,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6054]) ).

cnf(c_0_8257,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6055]) ).

cnf(c_0_8258,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6056]) ).

cnf(c_0_8259,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6057]) ).

cnf(c_0_8260,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6058]) ).

cnf(c_0_8261,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6059]) ).

cnf(c_0_8262,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6060]) ).

cnf(c_0_8263,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6061]) ).

cnf(c_0_8264,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6062]) ).

cnf(c_0_8265,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6063]) ).

cnf(c_0_8266,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6064]) ).

cnf(c_0_8267,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6065]) ).

cnf(c_0_8268,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6066]) ).

cnf(c_0_8269,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6067]) ).

cnf(c_0_8270,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6068]) ).

cnf(c_0_8271,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6069]) ).

cnf(c_0_8272,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6070]) ).

cnf(c_0_8273,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6071]) ).

cnf(c_0_8274,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6072]) ).

cnf(c_0_8275,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6073]) ).

cnf(c_0_8276,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6074]) ).

cnf(c_0_8277,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6075]) ).

cnf(c_0_8278,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6076]) ).

cnf(c_0_8279,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6077]) ).

cnf(c_0_8280,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6078]) ).

cnf(c_0_8281,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6079]) ).

cnf(c_0_8282,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6080]) ).

cnf(c_0_8283,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6081]) ).

cnf(c_0_8284,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6082]) ).

cnf(c_0_8285,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6083]) ).

cnf(c_0_8286,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6084]) ).

cnf(c_0_8287,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6085]) ).

cnf(c_0_8288,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6086]) ).

cnf(c_0_8289,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6087]) ).

cnf(c_0_8290,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6088]) ).

cnf(c_0_8291,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6089]) ).

cnf(c_0_8292,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6090]) ).

cnf(c_0_8293,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6091]) ).

cnf(c_0_8294,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6092]) ).

cnf(c_0_8295,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6093]) ).

cnf(c_0_8296,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6094]) ).

cnf(c_0_8297,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6095]) ).

cnf(c_0_8298,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6096]) ).

cnf(c_0_8299,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6097]) ).

cnf(c_0_8300,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6098]) ).

cnf(c_0_8301,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6099]) ).

cnf(c_0_8302,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6100]) ).

cnf(c_0_8303,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6101]) ).

cnf(c_0_8304,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6102]) ).

cnf(c_0_8305,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6103]) ).

cnf(c_0_8306,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6104]) ).

cnf(c_0_8307,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6105]) ).

cnf(c_0_8308,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6106]) ).

cnf(c_0_8309,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6107]) ).

cnf(c_0_8310,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6108]) ).

cnf(c_0_8311,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6109]) ).

cnf(c_0_8312,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6110]) ).

cnf(c_0_8313,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6111]) ).

cnf(c_0_8314,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6112]) ).

cnf(c_0_8315,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6113]) ).

cnf(c_0_8316,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6114]) ).

cnf(c_0_8317,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6115]) ).

cnf(c_0_8318,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6116]) ).

cnf(c_0_8319,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6117]) ).

cnf(c_0_8320,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6118]) ).

cnf(c_0_8321,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6119]) ).

cnf(c_0_8322,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6120]) ).

cnf(c_0_8323,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6121]) ).

cnf(c_0_8324,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6122]) ).

cnf(c_0_8325,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6123]) ).

cnf(c_0_8326,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6124]) ).

cnf(c_0_8327,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6125]) ).

cnf(c_0_8328,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6126]) ).

cnf(c_0_8329,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6127]) ).

cnf(c_0_8330,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6128]) ).

cnf(c_0_8331,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6129]) ).

cnf(c_0_8332,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6130]) ).

cnf(c_0_8333,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6131]) ).

cnf(c_0_8334,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6132]) ).

cnf(c_0_8335,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6133]) ).

cnf(c_0_8336,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6134]) ).

cnf(c_0_8337,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6135]) ).

cnf(c_0_8338,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6136]) ).

cnf(c_0_8339,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6137]) ).

cnf(c_0_8340,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6138]) ).

cnf(c_0_8341,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6139]) ).

cnf(c_0_8342,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6140]) ).

cnf(c_0_8343,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6141]) ).

cnf(c_0_8344,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6142]) ).

cnf(c_0_8345,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6143]) ).

cnf(c_0_8346,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6144]) ).

cnf(c_0_8347,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6145]) ).

cnf(c_0_8348,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6146]) ).

cnf(c_0_8349,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6147]) ).

cnf(c_0_8350,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6148]) ).

cnf(c_0_8351,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6149]) ).

cnf(c_0_8352,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6150]) ).

cnf(c_0_8353,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6151]) ).

cnf(c_0_8354,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6152]) ).

cnf(c_0_8355,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6153]) ).

cnf(c_0_8356,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6154]) ).

cnf(c_0_8357,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6155]) ).

cnf(c_0_8358,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6156]) ).

cnf(c_0_8359,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6157]) ).

cnf(c_0_8360,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6158]) ).

cnf(c_0_8361,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6159]) ).

cnf(c_0_8362,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6160]) ).

cnf(c_0_8363,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6161]) ).

cnf(c_0_8364,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6162]) ).

cnf(c_0_8365,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6163]) ).

cnf(c_0_8366,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6164]) ).

cnf(c_0_8367,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6165]) ).

cnf(c_0_8368,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6166]) ).

cnf(c_0_8369,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6167]) ).

cnf(c_0_8370,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6168]) ).

cnf(c_0_8371,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6169]) ).

cnf(c_0_8372,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6170]) ).

cnf(c_0_8373,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6171]) ).

cnf(c_0_8374,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6172]) ).

cnf(c_0_8375,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6173]) ).

cnf(c_0_8376,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6174]) ).

cnf(c_0_8377,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6175]) ).

cnf(c_0_8378,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6176]) ).

cnf(c_0_8379,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6177]) ).

cnf(c_0_8380,plain,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6178]) ).

cnf(c_0_8381,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6179]) ).

cnf(c_0_8382,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6180]) ).

cnf(c_0_8383,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6181]) ).

cnf(c_0_8384,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6182]) ).

cnf(c_0_8385,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6183]) ).

cnf(c_0_8386,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6184]) ).

cnf(c_0_8387,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6185]) ).

cnf(c_0_8388,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6186]) ).

cnf(c_0_8389,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6187]) ).

cnf(c_0_8390,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6188]) ).

cnf(c_0_8391,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6189]) ).

cnf(c_0_8392,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6190]) ).

cnf(c_0_8393,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6191]) ).

cnf(c_0_8394,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6192]) ).

cnf(c_0_8395,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6193]) ).

cnf(c_0_8396,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6194]) ).

cnf(c_0_8397,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6195]) ).

cnf(c_0_8398,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6196]) ).

cnf(c_0_8399,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6197]) ).

cnf(c_0_8400,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6198]) ).

cnf(c_0_8401,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6199]) ).

cnf(c_0_8402,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6200]) ).

cnf(c_0_8403,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6201]) ).

cnf(c_0_8404,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6202]) ).

cnf(c_0_8405,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6203]) ).

cnf(c_0_8406,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6204]) ).

cnf(c_0_8407,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6205]) ).

cnf(c_0_8408,plain,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6206]) ).

cnf(c_0_8409,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6207]) ).

cnf(c_0_8410,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6208]) ).

cnf(c_0_8411,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6209]) ).

cnf(c_0_8412,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6210]) ).

cnf(c_0_8413,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6211]) ).

cnf(c_0_8414,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6212]) ).

cnf(c_0_8415,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6213]) ).

cnf(c_0_8416,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6214]) ).

cnf(c_0_8417,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6215]) ).

cnf(c_0_8418,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6216]) ).

cnf(c_0_8419,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6217]) ).

cnf(c_0_8420,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6218]) ).

cnf(c_0_8421,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6219]) ).

cnf(c_0_8422,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6220]) ).

cnf(c_0_8423,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6221]) ).

cnf(c_0_8424,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6222]) ).

cnf(c_0_8425,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6223]) ).

cnf(c_0_8426,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6224]) ).

cnf(c_0_8427,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6225]) ).

cnf(c_0_8428,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6226]) ).

cnf(c_0_8429,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6227]) ).

cnf(c_0_8430,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6228]) ).

cnf(c_0_8431,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6229]) ).

cnf(c_0_8432,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6230]) ).

cnf(c_0_8433,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6231]) ).

cnf(c_0_8434,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6232]) ).

cnf(c_0_8435,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6233]) ).

cnf(c_0_8436,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6234]) ).

cnf(c_0_8437,plain,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6235]) ).

cnf(c_0_8438,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6236]) ).

cnf(c_0_8439,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6237]) ).

cnf(c_0_8440,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6238]) ).

cnf(c_0_8441,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6239]) ).

cnf(c_0_8442,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6240]) ).

cnf(c_0_8443,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6241]) ).

cnf(c_0_8444,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6242]) ).

cnf(c_0_8445,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6243]) ).

cnf(c_0_8446,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6244]) ).

cnf(c_0_8447,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6245]) ).

cnf(c_0_8448,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6246]) ).

cnf(c_0_8449,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6247]) ).

cnf(c_0_8450,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6248]) ).

cnf(c_0_8451,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6249]) ).

cnf(c_0_8452,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6250]) ).

cnf(c_0_8453,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6251]) ).

cnf(c_0_8454,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6252]) ).

cnf(c_0_8455,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6253]) ).

cnf(c_0_8456,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6254]) ).

cnf(c_0_8457,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6255]) ).

cnf(c_0_8458,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6256]) ).

cnf(c_0_8459,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6257]) ).

cnf(c_0_8460,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6258]) ).

cnf(c_0_8461,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6259]) ).

cnf(c_0_8462,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6260]) ).

cnf(c_0_8463,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6261]) ).

cnf(c_0_8464,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6262]) ).

cnf(c_0_8465,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6263]) ).

cnf(c_0_8466,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6264]) ).

cnf(c_0_8467,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6265]) ).

cnf(c_0_8468,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6266]) ).

cnf(c_0_8469,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6267]) ).

cnf(c_0_8470,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6268]) ).

cnf(c_0_8471,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6269]) ).

cnf(c_0_8472,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6270]) ).

cnf(c_0_8473,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6271]) ).

cnf(c_0_8474,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6272]) ).

cnf(c_0_8475,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6273]) ).

cnf(c_0_8476,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6274]) ).

cnf(c_0_8477,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6275]) ).

cnf(c_0_8478,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6276]) ).

cnf(c_0_8479,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6277]) ).

cnf(c_0_8480,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6278]) ).

cnf(c_0_8481,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6279]) ).

cnf(c_0_8482,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6280]) ).

cnf(c_0_8483,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6281]) ).

cnf(c_0_8484,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6282]) ).

cnf(c_0_8485,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6283]) ).

cnf(c_0_8486,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6284]) ).

cnf(c_0_8487,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6285]) ).

cnf(c_0_8488,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6286]) ).

cnf(c_0_8489,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6287]) ).

cnf(c_0_8490,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6288]) ).

cnf(c_0_8491,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6289]) ).

cnf(c_0_8492,plain,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6290]) ).

cnf(c_0_8493,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6291]) ).

cnf(c_0_8494,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6292]) ).

cnf(c_0_8495,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6293]) ).

cnf(c_0_8496,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6294]) ).

cnf(c_0_8497,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6295]) ).

cnf(c_0_8498,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6296]) ).

cnf(c_0_8499,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6297]) ).

cnf(c_0_8500,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6298]) ).

cnf(c_0_8501,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6299]) ).

cnf(c_0_8502,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6300]) ).

cnf(c_0_8503,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6301]) ).

cnf(c_0_8504,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6302]) ).

cnf(c_0_8505,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6303]) ).

cnf(c_0_8506,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6304]) ).

cnf(c_0_8507,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6305]) ).

cnf(c_0_8508,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6306]) ).

cnf(c_0_8509,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6307]) ).

cnf(c_0_8510,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6308]) ).

cnf(c_0_8511,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6309]) ).

cnf(c_0_8512,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6310]) ).

cnf(c_0_8513,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6311]) ).

cnf(c_0_8514,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6312]) ).

cnf(c_0_8515,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6313]) ).

cnf(c_0_8516,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6314]) ).

cnf(c_0_8517,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6315]) ).

cnf(c_0_8518,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6316]) ).

cnf(c_0_8519,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6317]) ).

cnf(c_0_8520,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6318]) ).

cnf(c_0_8521,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6319]) ).

cnf(c_0_8522,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6320]) ).

cnf(c_0_8523,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6321]) ).

cnf(c_0_8524,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6322]) ).

cnf(c_0_8525,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6323]) ).

cnf(c_0_8526,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6324]) ).

cnf(c_0_8527,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6325]) ).

cnf(c_0_8528,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6326]) ).

cnf(c_0_8529,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6327]) ).

cnf(c_0_8530,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6328]) ).

cnf(c_0_8531,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6329]) ).

cnf(c_0_8532,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6330]) ).

cnf(c_0_8533,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6331]) ).

cnf(c_0_8534,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6332]) ).

cnf(c_0_8535,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6333]) ).

cnf(c_0_8536,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6334]) ).

cnf(c_0_8537,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6335]) ).

cnf(c_0_8538,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6336]) ).

cnf(c_0_8539,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6337]) ).

cnf(c_0_8540,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6338]) ).

cnf(c_0_8541,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6339]) ).

cnf(c_0_8542,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6340]) ).

cnf(c_0_8543,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6341]) ).

cnf(c_0_8544,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6342]) ).

cnf(c_0_8545,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6343]) ).

cnf(c_0_8546,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6344]) ).

cnf(c_0_8547,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6345]) ).

cnf(c_0_8548,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6346]) ).

cnf(c_0_8549,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6347]) ).

cnf(c_0_8550,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6348]) ).

cnf(c_0_8551,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6349]) ).

cnf(c_0_8552,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6350]) ).

cnf(c_0_8553,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6351]) ).

cnf(c_0_8554,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6352]) ).

cnf(c_0_8555,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6353]) ).

cnf(c_0_8556,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6354]) ).

cnf(c_0_8557,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6355]) ).

cnf(c_0_8558,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6356]) ).

cnf(c_0_8559,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6357]) ).

cnf(c_0_8560,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6358]) ).

cnf(c_0_8561,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6359]) ).

cnf(c_0_8562,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6360]) ).

cnf(c_0_8563,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6361]) ).

cnf(c_0_8564,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6362]) ).

cnf(c_0_8565,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6363]) ).

cnf(c_0_8566,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6364]) ).

cnf(c_0_8567,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6365]) ).

cnf(c_0_8568,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6366]) ).

cnf(c_0_8569,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6367]) ).

cnf(c_0_8570,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6368]) ).

cnf(c_0_8571,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6369]) ).

cnf(c_0_8572,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6370]) ).

cnf(c_0_8573,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6371]) ).

cnf(c_0_8574,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6372]) ).

cnf(c_0_8575,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6373]) ).

cnf(c_0_8576,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6374]) ).

cnf(c_0_8577,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6375]) ).

cnf(c_0_8578,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6376]) ).

cnf(c_0_8579,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6377]) ).

cnf(c_0_8580,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6378]) ).

cnf(c_0_8581,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6379]) ).

cnf(c_0_8582,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6380]) ).

cnf(c_0_8583,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6381]) ).

cnf(c_0_8584,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6382]) ).

cnf(c_0_8585,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6383]) ).

cnf(c_0_8586,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6384]) ).

cnf(c_0_8587,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6385]) ).

cnf(c_0_8588,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6386]) ).

cnf(c_0_8589,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6387]) ).

cnf(c_0_8590,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6388]) ).

cnf(c_0_8591,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6389]) ).

cnf(c_0_8592,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6390]) ).

cnf(c_0_8593,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6391]) ).

cnf(c_0_8594,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6392]) ).

cnf(c_0_8595,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6393]) ).

cnf(c_0_8596,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6394]) ).

cnf(c_0_8597,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6395]) ).

cnf(c_0_8598,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6396]) ).

cnf(c_0_8599,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6397]) ).

cnf(c_0_8600,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6398]) ).

cnf(c_0_8601,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6399]) ).

cnf(c_0_8602,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6400]) ).

cnf(c_0_8603,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6401]) ).

cnf(c_0_8604,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6402]) ).

cnf(c_0_8605,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6403]) ).

cnf(c_0_8606,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6404]) ).

cnf(c_0_8607,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6405]) ).

cnf(c_0_8608,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6406]) ).

cnf(c_0_8609,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6407]) ).

cnf(c_0_8610,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6408]) ).

cnf(c_0_8611,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6409]) ).

cnf(c_0_8612,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6410]) ).

cnf(c_0_8613,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6411]) ).

cnf(c_0_8614,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6412]) ).

cnf(c_0_8615,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6413]) ).

cnf(c_0_8616,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6414]) ).

cnf(c_0_8617,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6415]) ).

cnf(c_0_8618,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6416]) ).

cnf(c_0_8619,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6417]) ).

cnf(c_0_8620,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6418]) ).

cnf(c_0_8621,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6419]) ).

cnf(c_0_8622,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6420]) ).

cnf(c_0_8623,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6421]) ).

cnf(c_0_8624,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6422]) ).

cnf(c_0_8625,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6423]) ).

cnf(c_0_8626,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6424]) ).

cnf(c_0_8627,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6425]) ).

cnf(c_0_8628,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6426]) ).

cnf(c_0_8629,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6427]) ).

cnf(c_0_8630,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6428]) ).

cnf(c_0_8631,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6429]) ).

cnf(c_0_8632,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6430]) ).

cnf(c_0_8633,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6431]) ).

cnf(c_0_8634,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6432]) ).

cnf(c_0_8635,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6433]) ).

cnf(c_0_8636,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6434]) ).

cnf(c_0_8637,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6435]) ).

cnf(c_0_8638,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6436]) ).

cnf(c_0_8639,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6437]) ).

cnf(c_0_8640,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6438]) ).

cnf(c_0_8641,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6439]) ).

cnf(c_0_8642,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6440]) ).

cnf(c_0_8643,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6441]) ).

cnf(c_0_8644,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6442]) ).

cnf(c_0_8645,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6443]) ).

cnf(c_0_8646,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6444]) ).

cnf(c_0_8647,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6445]) ).

cnf(c_0_8648,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6446]) ).

cnf(c_0_8649,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6447]) ).

cnf(c_0_8650,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6448]) ).

cnf(c_0_8651,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6449]) ).

cnf(c_0_8652,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6450]) ).

cnf(c_0_8653,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6451]) ).

cnf(c_0_8654,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6452]) ).

cnf(c_0_8655,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6453]) ).

cnf(c_0_8656,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6454]) ).

cnf(c_0_8657,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6455]) ).

cnf(c_0_8658,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6456]) ).

cnf(c_0_8659,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6457]) ).

cnf(c_0_8660,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6458]) ).

cnf(c_0_8661,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6459]) ).

cnf(c_0_8662,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6460]) ).

cnf(c_0_8663,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6461]) ).

cnf(c_0_8664,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6462]) ).

cnf(c_0_8665,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6463]) ).

cnf(c_0_8666,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6464]) ).

cnf(c_0_8667,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6465]) ).

cnf(c_0_8668,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6466]) ).

cnf(c_0_8669,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6467]) ).

cnf(c_0_8670,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6468]) ).

cnf(c_0_8671,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6469]) ).

cnf(c_0_8672,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6470]) ).

cnf(c_0_8673,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6471]) ).

cnf(c_0_8674,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6472]) ).

cnf(c_0_8675,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6473]) ).

cnf(c_0_8676,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6474]) ).

cnf(c_0_8677,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6475]) ).

cnf(c_0_8678,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6476]) ).

cnf(c_0_8679,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6477]) ).

cnf(c_0_8680,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6478]) ).

cnf(c_0_8681,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6479]) ).

cnf(c_0_8682,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6480]) ).

cnf(c_0_8683,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6481]) ).

cnf(c_0_8684,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6482]) ).

cnf(c_0_8685,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6483]) ).

cnf(c_0_8686,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6484]) ).

cnf(c_0_8687,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6485]) ).

cnf(c_0_8688,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6486]) ).

cnf(c_0_8689,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6487]) ).

cnf(c_0_8690,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6488]) ).

cnf(c_0_8691,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6489]) ).

cnf(c_0_8692,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6490]) ).

cnf(c_0_8693,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6491]) ).

cnf(c_0_8694,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6492]) ).

cnf(c_0_8695,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6493]) ).

cnf(c_0_8696,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6494]) ).

cnf(c_0_8697,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6495]) ).

cnf(c_0_8698,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6496]) ).

cnf(c_0_8699,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6497]) ).

cnf(c_0_8700,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6498]) ).

cnf(c_0_8701,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6499]) ).

cnf(c_0_8702,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6500]) ).

cnf(c_0_8703,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6501]) ).

cnf(c_0_8704,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6502]) ).

cnf(c_0_8705,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6503]) ).

cnf(c_0_8706,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6504]) ).

cnf(c_0_8707,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6505]) ).

cnf(c_0_8708,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6506]) ).

cnf(c_0_8709,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6507]) ).

cnf(c_0_8710,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6508]) ).

cnf(c_0_8711,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6509]) ).

cnf(c_0_8712,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6510]) ).

cnf(c_0_8713,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6511]) ).

cnf(c_0_8714,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6512]) ).

cnf(c_0_8715,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6513]) ).

cnf(c_0_8716,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6514]) ).

cnf(c_0_8717,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6515]) ).

cnf(c_0_8718,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6516]) ).

cnf(c_0_8719,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6517]) ).

cnf(c_0_8720,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6518]) ).

cnf(c_0_8721,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6519]) ).

cnf(c_0_8722,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6520]) ).

cnf(c_0_8723,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6521]) ).

cnf(c_0_8724,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6522]) ).

cnf(c_0_8725,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6523]) ).

cnf(c_0_8726,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6524]) ).

cnf(c_0_8727,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6525]) ).

cnf(c_0_8728,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6526]) ).

cnf(c_0_8729,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6527]) ).

cnf(c_0_8730,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6528]) ).

cnf(c_0_8731,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6529]) ).

cnf(c_0_8732,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6530]) ).

cnf(c_0_8733,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6531]) ).

cnf(c_0_8734,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6532]) ).

cnf(c_0_8735,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6533]) ).

cnf(c_0_8736,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6534]) ).

cnf(c_0_8737,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6535]) ).

cnf(c_0_8738,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6536]) ).

cnf(c_0_8739,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6537]) ).

cnf(c_0_8740,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6538]) ).

cnf(c_0_8741,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6539]) ).

cnf(c_0_8742,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6540]) ).

cnf(c_0_8743,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6541]) ).

cnf(c_0_8744,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6542]) ).

cnf(c_0_8745,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6543]) ).

cnf(c_0_8746,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6544]) ).

cnf(c_0_8747,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6545]) ).

cnf(c_0_8748,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6546]) ).

cnf(c_0_8749,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6547]) ).

cnf(c_0_8750,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6548]) ).

cnf(c_0_8751,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6549]) ).

cnf(c_0_8752,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6550]) ).

cnf(c_0_8753,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6551]) ).

cnf(c_0_8754,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6552]) ).

cnf(c_0_8755,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6553]) ).

cnf(c_0_8756,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6554]) ).

cnf(c_0_8757,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6555]) ).

cnf(c_0_8758,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6556]) ).

cnf(c_0_8759,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6557]) ).

cnf(c_0_8760,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6558]) ).

cnf(c_0_8761,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6559]) ).

cnf(c_0_8762,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6560]) ).

cnf(c_0_8763,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6561]) ).

cnf(c_0_8764,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6562]) ).

cnf(c_0_8765,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6563]) ).

cnf(c_0_8766,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6564]) ).

cnf(c_0_8767,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6565]) ).

cnf(c_0_8768,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6566]) ).

cnf(c_0_8769,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6567]) ).

cnf(c_0_8770,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6568]) ).

cnf(c_0_8771,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6569]) ).

cnf(c_0_8772,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6570]) ).

cnf(c_0_8773,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6571]) ).

cnf(c_0_8774,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6572]) ).

cnf(c_0_8775,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6573]) ).

cnf(c_0_8776,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6574]) ).

cnf(c_0_8777,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6575]) ).

cnf(c_0_8778,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6576]) ).

cnf(c_0_8779,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6577]) ).

cnf(c_0_8780,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6578]) ).

cnf(c_0_8781,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6579]) ).

cnf(c_0_8782,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6580]) ).

cnf(c_0_8783,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6581]) ).

cnf(c_0_8784,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6582]) ).

cnf(c_0_8785,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6583]) ).

cnf(c_0_8786,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6584]) ).

cnf(c_0_8787,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6585]) ).

cnf(c_0_8788,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6586]) ).

cnf(c_0_8789,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6587]) ).

cnf(c_0_8790,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6588]) ).

cnf(c_0_8791,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6589]) ).

cnf(c_0_8792,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6590]) ).

cnf(c_0_8793,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6591]) ).

cnf(c_0_8794,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6592]) ).

cnf(c_0_8795,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6593]) ).

cnf(c_0_8796,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6594]) ).

cnf(c_0_8797,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6595]) ).

cnf(c_0_8798,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6596]) ).

cnf(c_0_8799,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6597]) ).

cnf(c_0_8800,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6598]) ).

cnf(c_0_8801,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6599]) ).

cnf(c_0_8802,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6600]) ).

cnf(c_0_8803,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6601]) ).

cnf(c_0_8804,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6602]) ).

cnf(c_0_8805,plain,
    ( X1 = c_0
    | c_IntDef_Oint(X1) != c_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6603]) ).

cnf(c_0_8806,plain,
    ( c_0 != c_1
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6604]) ).

cnf(c_0_8807,plain,
    ( c_1 != c_0
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6605]) ).

cnf(c_0_8808,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    c_0_6606,
    [final] ).

cnf(c_0_8809,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    c_0_6607,
    [final] ).

cnf(c_0_8810,plain,
    ( c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    c_0_6608,
    [final] ).

cnf(c_0_8811,plain,
    ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    c_0_6609,
    [final] ).

cnf(c_0_8812,plain,
    ( c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X2,X3,X4,X1)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(v_sko__2Va(X2,X3,X4,X1),c_Message_Omsg_ONonce(X4))))),v_sko__2Vb(X2,X3,X4,X1)) = X1
    | c_Yahalom_OKeyWithNonce(X3,X4,X5)
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X2,X1),X5,tc_Event_Oevent)) ),
    c_0_6610,
    [final] ).

cnf(c_0_8813,plain,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    c_0_6611,
    [final] ).

cnf(c_0_8814,plain,
    ( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    c_0_6612,
    [final] ).

cnf(c_0_8815,plain,
    ( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    c_0_6613,
    [final] ).

cnf(c_0_8816,plain,
    ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    c_0_6614,
    [final] ).

cnf(c_0_8817,plain,
    ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    c_0_6615,
    [final] ).

cnf(c_0_8818,plain,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6616,
    [final] ).

cnf(c_0_8819,plain,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6617,
    [final] ).

cnf(c_0_8820,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6618,
    [final] ).

cnf(c_0_8821,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6619,
    [final] ).

cnf(c_0_8822,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6620,
    [final] ).

cnf(c_0_8823,plain,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6621,
    [final] ).

cnf(c_0_8824,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    c_0_6622,
    [final] ).

cnf(c_0_8825,plain,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6623,
    [final] ).

cnf(c_0_8826,plain,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6624,
    [final] ).

cnf(c_0_8827,plain,
    ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    c_0_6625,
    [final] ).

cnf(c_0_8828,plain,
    ( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    c_0_6626,
    [final] ).

cnf(c_0_8829,plain,
    ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1
    | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6627,
    [final] ).

cnf(c_0_8830,plain,
    ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    c_0_6628,
    [final] ).

cnf(c_0_8831,plain,
    ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    c_0_6629,
    [final] ).

cnf(c_0_8832,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6630,
    [final] ).

cnf(c_0_8833,plain,
    ( c_Public_OshrK(v_sko__2VY(X1)) = X1
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6631,
    [final] ).

cnf(c_0_8834,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
    c_0_6632,
    [final] ).

cnf(c_0_8835,plain,
    ( c_Public_OshrK(v_sko__2VY(X1)) = X1
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6633,
    [final] ).

cnf(c_0_8836,plain,
    ( c_plus(X1,X2,tc_nat) = c_plus(X3,X4,tc_nat)
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    c_0_6634,
    [final] ).

cnf(c_0_8837,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6635,
    [final] ).

cnf(c_0_8838,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6636,
    [final] ).

cnf(c_0_8839,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6637,
    [final] ).

cnf(c_0_8840,plain,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6638,
    [final] ).

cnf(c_0_8841,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6639,
    [final] ).

cnf(c_0_8842,plain,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6640,
    [final] ).

cnf(c_0_8843,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6641,
    [final] ).

cnf(c_0_8844,plain,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6642,
    [final] ).

cnf(c_0_8845,plain,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6643,
    [final] ).

cnf(c_0_8846,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    c_0_6644,
    [final] ).

cnf(c_0_8847,plain,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    c_0_6645,
    [final] ).

cnf(c_0_8848,plain,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6646,
    [final] ).

cnf(c_0_8849,plain,
    ( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    c_0_6647,
    [final] ).

cnf(c_0_8850,plain,
    ( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    c_0_6648,
    [final] ).

cnf(c_0_8851,plain,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    c_0_6649,
    [final] ).

cnf(c_0_8852,plain,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6650,
    [final] ).

cnf(c_0_8853,plain,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    c_0_6651,
    [final] ).

cnf(c_0_8854,plain,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6652,
    [final] ).

cnf(c_0_8855,plain,
    ( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    c_0_6653,
    [final] ).

cnf(c_0_8856,plain,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    c_0_6654,
    [final] ).

cnf(c_0_8857,plain,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    c_0_6655,
    [final] ).

cnf(c_0_8858,plain,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6656,
    [final] ).

cnf(c_0_8859,plain,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6657,
    [final] ).

cnf(c_0_8860,plain,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X4,tc_nat) != c_plus(X3,X2,tc_nat) ),
    c_0_6658,
    [final] ).

cnf(c_0_8861,plain,
    ( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
    c_0_6659,
    [final] ).

cnf(c_0_8862,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    c_0_6660,
    [final] ).

cnf(c_0_8863,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    c_0_6661,
    [final] ).

cnf(c_0_8864,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X2),c_List_Olist_OCons(X6,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    c_0_6662,
    [final] ).

cnf(c_0_8865,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6663,
    [final] ).

cnf(c_0_8866,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6664,
    [final] ).

cnf(c_0_8867,plain,
    ( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    c_0_6665,
    [final] ).

cnf(c_0_8868,plain,
    ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    c_0_6666,
    [final] ).

cnf(c_0_8869,plain,
    ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    c_0_6667,
    [final] ).

cnf(c_0_8870,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6668,
    [final] ).

cnf(c_0_8871,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    c_0_6669,
    [final] ).

cnf(c_0_8872,plain,
    ( c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    c_0_6670,
    [final] ).

cnf(c_0_8873,plain,
    ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    c_0_6671,
    [final] ).

cnf(c_0_8874,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    c_0_6672,
    [final] ).

cnf(c_0_8875,plain,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    c_0_6673,
    [final] ).

cnf(c_0_8876,plain,
    ( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    c_0_6674,
    [final] ).

cnf(c_0_8877,plain,
    ( c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
    c_0_6675,
    [final] ).

cnf(c_0_8878,plain,
    ( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    c_0_6676,
    [final] ).

cnf(c_0_8879,plain,
    ( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
    | c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
    | ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
    c_0_6677,
    [final] ).

cnf(c_0_8880,plain,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    c_0_6678,
    [final] ).

cnf(c_0_8881,plain,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    c_0_6679,
    [final] ).

cnf(c_0_8882,plain,
    ( c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    c_0_6680,
    [final] ).

cnf(c_0_8883,plain,
    ( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    c_0_6681,
    [final] ).

cnf(c_0_8884,plain,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    c_0_6682,
    [final] ).

cnf(c_0_8885,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
    c_0_6683,
    [final] ).

cnf(c_0_8886,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
    c_0_6684,
    [final] ).

cnf(c_0_8887,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
    c_0_6685,
    [final] ).

cnf(c_0_8888,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | X4 = X5
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    c_0_6686,
    [final] ).

cnf(c_0_8889,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    c_0_6687,
    [final] ).

cnf(c_0_8890,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
    c_0_6688,
    [final] ).

cnf(c_0_8891,plain,
    ( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
    | ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
    c_0_6689,
    [final] ).

cnf(c_0_8892,plain,
    ( c_append(c_List_Ozip(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)) = c_List_Ozip(c_append(X1,X2,X3),c_append(X4,X5,X6),X3,X6)
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X6))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X6)) ),
    c_0_6690,
    [final] ).

cnf(c_0_8893,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    c_0_6691,
    [final] ).

cnf(c_0_8894,plain,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    c_0_6692,
    [final] ).

cnf(c_0_8895,plain,
    ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6693,
    [final] ).

cnf(c_0_8896,plain,
    ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6694,
    [final] ).

cnf(c_0_8897,plain,
    ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6695,
    [final] ).

cnf(c_0_8898,plain,
    ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6696,
    [final] ).

cnf(c_0_8899,plain,
    ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6697,
    [final] ).

cnf(c_0_8900,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    c_0_6698,
    [final] ).

cnf(c_0_8901,plain,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    c_0_6699,
    [final] ).

cnf(c_0_8902,plain,
    ( c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    c_0_6700,
    [final] ).

cnf(c_0_8903,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    c_0_6701,
    [final] ).

cnf(c_0_8904,plain,
    ( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    c_0_6702,
    [final] ).

cnf(c_0_8905,plain,
    ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6703,
    [final] ).

cnf(c_0_8906,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6704,
    [final] ).

cnf(c_0_8907,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) != c_Datatype_Ooption_ONone
    | ~ c_in(X5,c_List_Oset(X1,X2),X2) ),
    c_0_6705,
    [final] ).

cnf(c_0_8908,plain,
    ( c_Pair(c_List_Onth(X1,X5,X3),c_List_Onth(X2,X5,X4),X3,X4) = c_List_Onth(c_List_Ozip(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_less(X5,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | ~ c_less(X5,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
    c_0_6706,
    [final] ).

cnf(c_0_8909,plain,
    ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6707,
    [final] ).

cnf(c_0_8910,plain,
    ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6708,
    [final] ).

cnf(c_0_8911,plain,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    c_0_6709,
    [final] ).

cnf(c_0_8912,plain,
    ( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    c_0_6710,
    [final] ).

cnf(c_0_8913,plain,
    ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2) = X1
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    c_0_6711,
    [final] ).

cnf(c_0_8914,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6712,
    [final] ).

cnf(c_0_8915,plain,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    c_0_6713,
    [final] ).

cnf(c_0_8916,plain,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    c_0_6714,
    [final] ).

cnf(c_0_8917,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6715,
    [final] ).

cnf(c_0_8918,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6716,
    [final] ).

cnf(c_0_8919,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6717,
    [final] ).

cnf(c_0_8920,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6718,
    [final] ).

cnf(c_0_8921,plain,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    c_0_6719,
    [final] ).

cnf(c_0_8922,plain,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    c_0_6720,
    [final] ).

cnf(c_0_8923,plain,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6721,
    [final] ).

cnf(c_0_8924,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6722,
    [final] ).

cnf(c_0_8925,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6723,
    [final] ).

cnf(c_0_8926,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6724,
    [final] ).

cnf(c_0_8927,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6725,
    [final] ).

cnf(c_0_8928,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6726,
    [final] ).

cnf(c_0_8929,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    c_0_6727,
    [final] ).

cnf(c_0_8930,plain,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
    c_0_6728,
    [final] ).

cnf(c_0_8931,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
    | ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    c_0_6729,
    [final] ).

cnf(c_0_8932,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    c_0_6730,
    [final] ).

cnf(c_0_8933,plain,
    ( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    c_0_6731,
    [final] ).

cnf(c_0_8934,plain,
    ( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    c_0_6732,
    [final] ).

cnf(c_0_8935,plain,
    ( c_Map_Omap__of(c_List_Ozip(X1,X2,X3,X4),X5,X3,X4) = c_Datatype_Ooption_ONone
    | c_in(X5,c_List_Oset(X1,X3),X3)
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    c_0_6733,
    [final] ).

cnf(c_0_8936,plain,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_6734,
    [final] ).

cnf(c_0_8937,plain,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
    c_0_6735,
    [final] ).

cnf(c_0_8938,plain,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
    c_0_6736,
    [final] ).

cnf(c_0_8939,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    c_0_6737,
    [final] ).

cnf(c_0_8940,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    c_0_6738,
    [final] ).

cnf(c_0_8941,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6739,
    [final] ).

cnf(c_0_8942,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6740,
    [final] ).

cnf(c_0_8943,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6741,
    [final] ).

cnf(c_0_8944,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6742,
    [final] ).

cnf(c_0_8945,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6743,
    [final] ).

cnf(c_0_8946,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6744,
    [final] ).

cnf(c_0_8947,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6745,
    [final] ).

cnf(c_0_8948,plain,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6746,
    [final] ).

cnf(c_0_8949,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6747,
    [final] ).

cnf(c_0_8950,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6748,
    [final] ).

cnf(c_0_8951,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6749,
    [final] ).

cnf(c_0_8952,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6750,
    [final] ).

cnf(c_0_8953,plain,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6751,
    [final] ).

cnf(c_0_8954,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6752,
    [final] ).

cnf(c_0_8955,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6753,
    [final] ).

cnf(c_0_8956,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6754,
    [final] ).

cnf(c_0_8957,plain,
    ( c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
    c_0_6755,
    [final] ).

cnf(c_0_8958,plain,
    ( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
    | ~ c_in(X1,X4,X2) ),
    c_0_6756,
    [final] ).

cnf(c_0_8959,plain,
    ( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
    | ~ c_in(X1,X5,X2) ),
    c_0_6757,
    [final] ).

cnf(c_0_8960,plain,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    c_0_6758,
    [final] ).

cnf(c_0_8961,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6759,
    [final] ).

cnf(c_0_8962,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6760,
    [final] ).

cnf(c_0_8963,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6761,
    [final] ).

cnf(c_0_8964,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6762,
    [final] ).

cnf(c_0_8965,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6763,
    [final] ).

cnf(c_0_8966,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6764,
    [final] ).

cnf(c_0_8967,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6765,
    [final] ).

cnf(c_0_8968,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6766,
    [final] ).

cnf(c_0_8969,plain,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6767,
    [final] ).

cnf(c_0_8970,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6768,
    [final] ).

cnf(c_0_8971,plain,
    ( c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6769,
    [final] ).

cnf(c_0_8972,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6770,
    [final] ).

cnf(c_0_8973,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6771,
    [final] ).

cnf(c_0_8974,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6772,
    [final] ).

cnf(c_0_8975,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6773,
    [final] ).

cnf(c_0_8976,plain,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6774,
    [final] ).

cnf(c_0_8977,plain,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X2,X4) = X3
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    c_0_6775,
    [final] ).

cnf(c_0_8978,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
    | ~ c_in(X1,X3,X2) ),
    c_0_6776,
    [final] ).

cnf(c_0_8979,plain,
    ( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    c_0_6777,
    [final] ).

cnf(c_0_8980,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4) = c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) ),
    c_0_6778,
    [final] ).

cnf(c_0_8981,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6779,
    [final] ).

cnf(c_0_8982,plain,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_6780,
    [final] ).

cnf(c_0_8983,plain,
    ( c_Message_Oagent_OServer = X1
    | c_Yahalom_OKeyWithNonce(X2,X3,X4)
    | ~ c_Yahalom_OKeyWithNonce(X2,X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X5,X6),X4,tc_Event_Oevent)) ),
    c_0_6781,
    [final] ).

cnf(c_0_8984,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    c_0_6782,
    [final] ).

cnf(c_0_8985,plain,
    ( c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    c_0_6783,
    [final] ).

cnf(c_0_8986,plain,
    ( c_List_Onth(c_List_Odrop(X1,X2,X3),X4,X3) = c_List_Onth(X2,c_plus(X1,X4,tc_nat),X3)
    | ~ c_lessequals(c_plus(X1,X4,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    c_0_6784,
    [final] ).

cnf(c_0_8987,plain,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X5,X4) = c_List_Onth(X1,X5,X4)
    | X2 = X5 ),
    c_0_6785,
    [final] ).

cnf(c_0_8988,plain,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_plus(X2,c_div(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    c_0_6786,
    [final] ).

cnf(c_0_8989,plain,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_plus(X3,c_div(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_6787,
    [final] ).

cnf(c_0_8990,plain,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Otrans(X2,X4) ),
    c_0_6788,
    [final] ).

cnf(c_0_8991,plain,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
    c_0_6789,
    [final] ).

cnf(c_0_8992,plain,
    ( c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_6790,
    [final] ).

cnf(c_0_8993,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    c_0_6791,
    [final] ).

cnf(c_0_8994,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    c_0_6792,
    [final] ).

cnf(c_0_8995,plain,
    ( c_minus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_minus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6793,
    [final] ).

cnf(c_0_8996,plain,
    ( c_plus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_plus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Osemiring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6794,
    [final] ).

cnf(c_0_8997,plain,
    ( c_minus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_minus(X3,X4,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6795,
    [final] ).

cnf(c_0_8998,plain,
    ( c_plus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_plus(X3,X4,X2),X2)
    | ~ class_Ring__and__Field_Osemiring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6796,
    [final] ).

cnf(c_0_8999,plain,
    ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6797,
    [final] ).

cnf(c_0_9000,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6798,
    [final] ).

cnf(c_0_9001,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6799,
    [final] ).

cnf(c_0_9002,plain,
    ( c_lessequals(X1,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6800,
    [final] ).

cnf(c_0_9003,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6801,
    [final] ).

cnf(c_0_9004,plain,
    ( c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6802,
    [final] ).

cnf(c_0_9005,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6803,
    [final] ).

cnf(c_0_9006,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6804,
    [final] ).

cnf(c_0_9007,plain,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6805,
    [final] ).

cnf(c_0_9008,plain,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6806,
    [final] ).

cnf(c_0_9009,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6807,
    [final] ).

cnf(c_0_9010,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6808,
    [final] ).

cnf(c_0_9011,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6809,
    [final] ).

cnf(c_0_9012,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6810,
    [final] ).

cnf(c_0_9013,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6811,
    [final] ).

cnf(c_0_9014,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6812,
    [final] ).

cnf(c_0_9015,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6813,
    [final] ).

cnf(c_0_9016,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6814,
    [final] ).

cnf(c_0_9017,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6815,
    [final] ).

cnf(c_0_9018,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6816,
    [final] ).

cnf(c_0_9019,plain,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6817,
    [final] ).

cnf(c_0_9020,plain,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6818,
    [final] ).

cnf(c_0_9021,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6819,
    [final] ).

cnf(c_0_9022,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6820,
    [final] ).

cnf(c_0_9023,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    c_0_6821,
    [final] ).

cnf(c_0_9024,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    c_0_6822,
    [final] ).

cnf(c_0_9025,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    c_0_6823,
    [final] ).

cnf(c_0_9026,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    c_0_6824,
    [final] ).

cnf(c_0_9027,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    c_0_6825,
    [final] ).

cnf(c_0_9028,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6826,
    [final] ).

cnf(c_0_9029,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6827,
    [final] ).

cnf(c_0_9030,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6828,
    [final] ).

cnf(c_0_9031,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6829,
    [final] ).

cnf(c_0_9032,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6830,
    [final] ).

cnf(c_0_9033,plain,
    ( c_minus(c_plus(X1,X3,tc_nat),c_Suc(X2),tc_nat) = c_minus(X1,c_Suc(c_minus(X2,X3,tc_nat)),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    c_0_6831,
    [final] ).

cnf(c_0_9034,plain,
    ( c_minus(c_Suc(c_minus(X1,X2,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X1),c_plus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_6832,
    [final] ).

cnf(c_0_9035,plain,
    ( X1 = X2
    | c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
    c_0_6833,
    [final] ).

cnf(c_0_9036,plain,
    ( X1 = X2
    | c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
    c_0_6834,
    [final] ).

cnf(c_0_9037,plain,
    ( c_List_Olist__update(X1,X2,c_List_Onth(X1,X2,X3),X3) = X1
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    c_0_6835,
    [final] ).

cnf(c_0_9038,plain,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6836,
    [final] ).

cnf(c_0_9039,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    c_0_6837,
    [final] ).

cnf(c_0_9040,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6838,
    [final] ).

cnf(c_0_9041,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6839,
    [final] ).

cnf(c_0_9042,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6840,
    [final] ).

cnf(c_0_9043,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6841,
    [final] ).

cnf(c_0_9044,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6842,
    [final] ).

cnf(c_0_9045,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6843,
    [final] ).

cnf(c_0_9046,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6844,
    [final] ).

cnf(c_0_9047,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6845,
    [final] ).

cnf(c_0_9048,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6846,
    [final] ).

cnf(c_0_9049,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6847,
    [final] ).

cnf(c_0_9050,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6848,
    [final] ).

cnf(c_0_9051,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6849,
    [final] ).

cnf(c_0_9052,plain,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6850,
    [final] ).

cnf(c_0_9053,plain,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_6851,
    [final] ).

cnf(c_0_9054,plain,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    c_0_6852,
    [final] ).

cnf(c_0_9055,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6853,
    [final] ).

cnf(c_0_9056,plain,
    ( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    c_0_6854,
    [final] ).

cnf(c_0_9057,plain,
    ( c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_6855,
    [final] ).

cnf(c_0_9058,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    c_0_6856,
    [final] ).

cnf(c_0_9059,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat) ),
    c_0_6857,
    [final] ).

cnf(c_0_9060,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    c_0_6858,
    [final] ).

cnf(c_0_9061,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    c_0_6859,
    [final] ).

cnf(c_0_9062,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    c_0_6860,
    [final] ).

cnf(c_0_9063,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    c_0_6861,
    [final] ).

cnf(c_0_9064,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6862,
    [final] ).

cnf(c_0_9065,plain,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6863,
    [final] ).

cnf(c_0_9066,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6864,
    [final] ).

cnf(c_0_9067,plain,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6865,
    [final] ).

cnf(c_0_9068,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X6) ),
    c_0_6866,
    [final] ).

cnf(c_0_9069,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6867,
    [final] ).

cnf(c_0_9070,plain,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6868,
    [final] ).

cnf(c_0_9071,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    c_0_6869,
    [final] ).

cnf(c_0_9072,plain,
    ( c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6870,
    [final] ).

cnf(c_0_9073,plain,
    ( c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_less(c_1,X1,X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6871,
    [final] ).

cnf(c_0_9074,plain,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3) ),
    c_0_6872,
    [final] ).

cnf(c_0_9075,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6873,
    [final] ).

cnf(c_0_9076,plain,
    ( c_List_Otake(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(X2,c_plus(X2,X1,tc_nat))
    | ~ c_lessequals(c_plus(X2,X1,tc_nat),X3,tc_nat) ),
    c_0_6874,
    [final] ).

cnf(c_0_9077,plain,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6875,
    [final] ).

cnf(c_0_9078,plain,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6876,
    [final] ).

cnf(c_0_9079,plain,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6877,
    [final] ).

cnf(c_0_9080,plain,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6878,
    [final] ).

cnf(c_0_9081,plain,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6879,
    [final] ).

cnf(c_0_9082,plain,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6880,
    [final] ).

cnf(c_0_9083,plain,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6881,
    [final] ).

cnf(c_0_9084,plain,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6882,
    [final] ).

cnf(c_0_9085,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6883,
    [final] ).

cnf(c_0_9086,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_6884,
    [final] ).

cnf(c_0_9087,plain,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_6885,
    [final] ).

cnf(c_0_9088,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6886,
    [final] ).

cnf(c_0_9089,plain,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6887,
    [final] ).

cnf(c_0_9090,plain,
    ( c_lessequals(X1,c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6888,
    [final] ).

cnf(c_0_9091,plain,
    ( c_lessequals(c_0,X1,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6889,
    [final] ).

cnf(c_0_9092,plain,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    c_0_6890,
    [final] ).

cnf(c_0_9093,plain,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(X1,X3,tc_nat) ),
    c_0_6891,
    [final] ).

cnf(c_0_9094,plain,
    ( c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    c_0_6892,
    [final] ).

cnf(c_0_9095,plain,
    ( c_minus(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X1,X4,X3),tc_set(X3)) = c_SetInterval_OatLeastLessThan(X4,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6893,
    [final] ).

cnf(c_0_9096,plain,
    ( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X4,X3) ),
    c_0_6894,
    [final] ).

cnf(c_0_9097,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6895,
    [final] ).

cnf(c_0_9098,plain,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6896,
    [final] ).

cnf(c_0_9099,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6897,
    [final] ).

cnf(c_0_9100,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6898,
    [final] ).

cnf(c_0_9101,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6899,
    [final] ).

cnf(c_0_9102,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6900,
    [final] ).

cnf(c_0_9103,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6901,
    [final] ).

cnf(c_0_9104,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6902,
    [final] ).

cnf(c_0_9105,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6903,
    [final] ).

cnf(c_0_9106,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6904,
    [final] ).

cnf(c_0_9107,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_minus(X3,c_Numeral_Onumber__of(X4,X2),X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X4)),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6905,
    [final] ).

cnf(c_0_9108,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    c_0_6906,
    [final] ).

cnf(c_0_9109,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6907,
    [final] ).

cnf(c_0_9110,plain,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6908,
    [final] ).

cnf(c_0_9111,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4) ),
    c_0_6909,
    [final] ).

cnf(c_0_9112,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = c_List_Onth(X3,c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X4) ),
    c_0_6910,
    [final] ).

cnf(c_0_9113,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,c_0,X2)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6911,
    [final] ).

cnf(c_0_9114,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_6912,
    [final] ).

cnf(c_0_9115,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_6913,
    [final] ).

cnf(c_0_9116,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_6914,
    [final] ).

cnf(c_0_9117,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_6915,
    [final] ).

cnf(c_0_9118,plain,
    ( c_plus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_6916,
    [final] ).

cnf(c_0_9119,plain,
    ( c_plus(X1,c_minus(X2,X3,tc_nat),tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    c_0_6917,
    [final] ).

cnf(c_0_9120,plain,
    ( c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat) = c_minus(X1,c_minus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    c_0_6918,
    [final] ).

cnf(c_0_9121,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6919,
    [final] ).

cnf(c_0_9122,plain,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_6920,
    [final] ).

cnf(c_0_9123,plain,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) = c_div(X1,X3,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_6921,
    [final] ).

cnf(c_0_9124,plain,
    ( ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6922,
    [final] ).

cnf(c_0_9125,plain,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    c_0_6923,
    [final] ).

cnf(c_0_9126,plain,
    ( X1 = c_0
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6924,
    [final] ).

cnf(c_0_9127,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_6925,
    [final] ).

cnf(c_0_9128,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_6926,
    [final] ).

cnf(c_0_9129,plain,
    ( c_List_Olist__update(X1,X2,X3,X4) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X4)),X2,tc_nat) ),
    c_0_6927,
    [final] ).

cnf(c_0_9130,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    c_0_6928,
    [final] ).

cnf(c_0_9131,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    c_0_6929,
    [final] ).

cnf(c_0_9132,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    c_0_6930,
    [final] ).

cnf(c_0_9133,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_6931,
    [final] ).

cnf(c_0_9134,plain,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    c_0_6932,
    [final] ).

cnf(c_0_9135,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_6933,
    [final] ).

cnf(c_0_9136,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent)) ),
    c_0_6934,
    [final] ).

cnf(c_0_9137,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent)) ),
    c_0_6935,
    [final] ).

cnf(c_0_9138,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
    c_0_6936,
    [final] ).

cnf(c_0_9139,plain,
    ( c_List_Onth(c_List_Oupt(X1,X2),X3,tc_nat) = c_plus(X1,X3,tc_nat)
    | ~ c_less(c_plus(X1,X3,tc_nat),X2,tc_nat) ),
    c_0_6937,
    [final] ).

cnf(c_0_9140,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_plus(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6938,
    [final] ).

cnf(c_0_9141,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6939,
    [final] ).

cnf(c_0_9142,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6940,
    [final] ).

cnf(c_0_9143,plain,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6941,
    [final] ).

cnf(c_0_9144,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6942,
    [final] ).

cnf(c_0_9145,plain,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6943,
    [final] ).

cnf(c_0_9146,plain,
    ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6944,
    [final] ).

cnf(c_0_9147,plain,
    ( c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6945,
    [final] ).

cnf(c_0_9148,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_6946,
    [final] ).

cnf(c_0_9149,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_6947,
    [final] ).

cnf(c_0_9150,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_6948,
    [final] ).

cnf(c_0_9151,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_6949,
    [final] ).

cnf(c_0_9152,plain,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6950,
    [final] ).

cnf(c_0_9153,plain,
    ( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
    | ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
    c_0_6951,
    [final] ).

cnf(c_0_9154,plain,
    ( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
    | ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
    c_0_6952,
    [final] ).

cnf(c_0_9155,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_6953,
    [final] ).

cnf(c_0_9156,plain,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,c_union(X2,X4,X3),X3) ),
    c_0_6954,
    [final] ).

cnf(c_0_9157,plain,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_6955,
    [final] ).

cnf(c_0_9158,plain,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6956,
    [final] ).

cnf(c_0_9159,plain,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6957,
    [final] ).

cnf(c_0_9160,plain,
    ( c_less(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6958,
    [final] ).

cnf(c_0_9161,plain,
    ( c_less(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_6959,
    [final] ).

cnf(c_0_9162,plain,
    ( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | ~ c_in(X1,X3,X4) ),
    c_0_6960,
    [final] ).

cnf(c_0_9163,plain,
    ( c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4))
    | ~ c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,X3,tc_set(X4)) ),
    c_0_6961,
    [final] ).

cnf(c_0_9164,plain,
    ( c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    c_0_6962,
    [final] ).

cnf(c_0_9165,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    c_0_6963,
    [final] ).

cnf(c_0_9166,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6964,
    [final] ).

cnf(c_0_9167,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_6965,
    [final] ).

cnf(c_0_9168,plain,
    ( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_6966,
    [final] ).

cnf(c_0_9169,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_lessequals(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_6967,
    [final] ).

cnf(c_0_9170,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_6968,
    [final] ).

cnf(c_0_9171,plain,
    ( c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    c_0_6969,
    [final] ).

cnf(c_0_9172,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Power_Orecpower(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_6970,
    [final] ).

cnf(c_0_9173,plain,
    ( c_less(c_0,X1,tc_nat)
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    c_0_6971,
    [final] ).

cnf(c_0_9174,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_6972,
    [final] ).

cnf(c_0_9175,plain,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_6973,
    [final] ).

cnf(c_0_9176,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6974,
    [final] ).

cnf(c_0_9177,plain,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6975,
    [final] ).

cnf(c_0_9178,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_6976,
    [final] ).

cnf(c_0_9179,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    c_0_6977,
    [final] ).

cnf(c_0_9180,plain,
    ( c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_6978,
    [final] ).

cnf(c_0_9181,plain,
    ( c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    c_0_6979,
    [final] ).

cnf(c_0_9182,plain,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6980,
    [final] ).

cnf(c_0_9183,plain,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6981,
    [final] ).

cnf(c_0_9184,plain,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6982,
    [final] ).

cnf(c_0_9185,plain,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6983,
    [final] ).

cnf(c_0_9186,plain,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6984,
    [final] ).

cnf(c_0_9187,plain,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6985,
    [final] ).

cnf(c_0_9188,plain,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6986,
    [final] ).

cnf(c_0_9189,plain,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_6987,
    [final] ).

cnf(c_0_9190,plain,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_6988,
    [final] ).

cnf(c_0_9191,plain,
    ( c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6989,
    [final] ).

cnf(c_0_9192,plain,
    ( c_less(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_less(X1,X2,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6990,
    [final] ).

cnf(c_0_9193,plain,
    ( c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_6991,
    [final] ).

cnf(c_0_9194,plain,
    ( c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_6992,
    [final] ).

cnf(c_0_9195,plain,
    ( c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    c_0_6993,
    [final] ).

cnf(c_0_9196,plain,
    ( c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    c_0_6994,
    [final] ).

cnf(c_0_9197,plain,
    ( c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ c_less(X2,X1,X4)
    | ~ class_Orderings_Oord(X4) ),
    c_0_6995,
    [final] ).

cnf(c_0_9198,plain,
    ( c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4)
    | ~ c_less(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    c_0_6996,
    [final] ).

cnf(c_0_9199,plain,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
    c_0_6997,
    [final] ).

cnf(c_0_9200,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_6998,
    [final] ).

cnf(c_0_9201,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset
    | ~ c_in(X2,X1,X4) ),
    c_0_6999,
    [final] ).

cnf(c_0_9202,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset
    | ~ c_in(X2,X1,X4) ),
    c_0_7000,
    [final] ).

cnf(c_0_9203,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    c_0_7001,
    [final] ).

cnf(c_0_9204,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    c_0_7002,
    [final] ).

cnf(c_0_9205,plain,
    ( c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7003,
    [final] ).

cnf(c_0_9206,plain,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7004,
    [final] ).

cnf(c_0_9207,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7005,
    [final] ).

cnf(c_0_9208,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7006,
    [final] ).

cnf(c_0_9209,plain,
    ( c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7007,
    [final] ).

cnf(c_0_9210,plain,
    ( c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3)
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7008,
    [final] ).

cnf(c_0_9211,plain,
    ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2),X2) = c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7009,
    [final] ).

cnf(c_0_9212,plain,
    ( c_divide(c_divide(X1,X2,X3),X4,X3) = c_divide(X1,c_times(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7010,
    [final] ).

cnf(c_0_9213,plain,
    ( c_divide(c_times(X1,X3,X4),X2,X4) = c_divide(X1,c_divide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    c_0_7011,
    [final] ).

cnf(c_0_9214,plain,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7012,
    [final] ).

cnf(c_0_9215,plain,
    ( c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7013,
    [final] ).

cnf(c_0_9216,plain,
    ( c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7014,
    [final] ).

cnf(c_0_9217,plain,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    c_0_7015,
    [final] ).

cnf(c_0_9218,plain,
    ( c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    c_0_7016,
    [final] ).

cnf(c_0_9219,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_7017,
    [final] ).

cnf(c_0_9220,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7018,
    [final] ).

cnf(c_0_9221,plain,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    c_0_7019,
    [final] ).

cnf(c_0_9222,plain,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3) ),
    c_0_7020,
    [final] ).

cnf(c_0_9223,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_7021,
    [final] ).

cnf(c_0_9224,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    c_0_7022,
    [final] ).

cnf(c_0_9225,plain,
    ( c_List_Odistinct(c_append(X1,X2,X3),X3)
    | c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | ~ c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7023,
    [final] ).

cnf(c_0_9226,plain,
    ( c_in(X1,c_inter(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4)
    | ~ c_in(X1,X3,X4) ),
    c_0_7024,
    [final] ).

cnf(c_0_9227,plain,
    ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7025,
    [final] ).

cnf(c_0_9228,plain,
    ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7026,
    [final] ).

cnf(c_0_9229,plain,
    ( c_minus(c_List_Oset(X2,X3),c_insert(X1,c_emptyset,X3),tc_set(X3)) = c_List_Oset(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7027,
    [final] ).

cnf(c_0_9230,plain,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
    c_0_7028,
    [final] ).

cnf(c_0_9231,plain,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
    c_0_7029,
    [final] ).

cnf(c_0_9232,plain,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    c_0_7030,
    [final] ).

cnf(c_0_9233,plain,
    ( c_in(c_List_Onth(X1,X2,X3),c_List_Oset(X1,X3),X3)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    c_0_7031,
    [final] ).

cnf(c_0_9234,plain,
    ( c_times(X1,c_divide(X2,X3,X4),X4) = c_divide(c_times(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_7032,
    [final] ).

cnf(c_0_9235,plain,
    ( c_times(c_divide(X1,X2,X3),X4,X3) = c_divide(c_times(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_7033,
    [final] ).

cnf(c_0_9236,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7034,
    [final] ).

cnf(c_0_9237,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7035,
    [final] ).

cnf(c_0_9238,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7036,
    [final] ).

cnf(c_0_9239,plain,
    ( c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7037,
    [final] ).

cnf(c_0_9240,plain,
    ( c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7038,
    [final] ).

cnf(c_0_9241,plain,
    ( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
    c_0_7039,
    [final] ).

cnf(c_0_9242,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
    c_0_7040,
    [final] ).

cnf(c_0_9243,plain,
    ( X1 = X2
    | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    c_0_7041,
    [final] ).

cnf(c_0_9244,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7042,
    [final] ).

cnf(c_0_9245,plain,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    c_0_7043,
    [final] ).

cnf(c_0_9246,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X2,X4,X3),tc_set(X3)) ),
    c_0_7044,
    [final] ).

cnf(c_0_9247,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
    c_0_7045,
    [final] ).

cnf(c_0_9248,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X4,X3),X2,tc_set(X3)) ),
    c_0_7046,
    [final] ).

cnf(c_0_9249,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
    c_0_7047,
    [final] ).

cnf(c_0_9250,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_insert(X4,X1,X3),X2,tc_set(X3)) ),
    c_0_7048,
    [final] ).

cnf(c_0_9251,plain,
    ( c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    c_0_7049,
    [final] ).

cnf(c_0_9252,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_7050,
    [final] ).

cnf(c_0_9253,plain,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_7051,
    [final] ).

cnf(c_0_9254,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7052,
    [final] ).

cnf(c_0_9255,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7053,
    [final] ).

cnf(c_0_9256,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7054,
    [final] ).

cnf(c_0_9257,plain,
    ( c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7055,
    [final] ).

cnf(c_0_9258,plain,
    ( c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7056,
    [final] ).

cnf(c_0_9259,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7057,
    [final] ).

cnf(c_0_9260,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    c_0_7058,
    [final] ).

cnf(c_0_9261,plain,
    ( c_less(c_0,c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_7059,
    [final] ).

cnf(c_0_9262,plain,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
    c_0_7060,
    [final] ).

cnf(c_0_9263,plain,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
    c_0_7061,
    [final] ).

cnf(c_0_9264,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7062,
    [final] ).

cnf(c_0_9265,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7063,
    [final] ).

cnf(c_0_9266,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7064,
    [final] ).

cnf(c_0_9267,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7065,
    [final] ).

cnf(c_0_9268,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7066,
    [final] ).

cnf(c_0_9269,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7067,
    [final] ).

cnf(c_0_9270,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7068,
    [final] ).

cnf(c_0_9271,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7069,
    [final] ).

cnf(c_0_9272,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7070,
    [final] ).

cnf(c_0_9273,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7071,
    [final] ).

cnf(c_0_9274,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7072,
    [final] ).

cnf(c_0_9275,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7073,
    [final] ).

cnf(c_0_9276,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7074,
    [final] ).

cnf(c_0_9277,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7075,
    [final] ).

cnf(c_0_9278,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7076,
    [final] ).

cnf(c_0_9279,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7077,
    [final] ).

cnf(c_0_9280,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_7078,
    [final] ).

cnf(c_0_9281,plain,
    ( c_minus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_minus(X1,X2,tc_nat),X3)
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7079,
    [final] ).

cnf(c_0_9282,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    c_0_7080,
    [final] ).

cnf(c_0_9283,plain,
    ( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    c_0_7081,
    [final] ).

cnf(c_0_9284,plain,
    ( c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7082,
    [final] ).

cnf(c_0_9285,plain,
    ( c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7083,
    [final] ).

cnf(c_0_9286,plain,
    ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7084,
    [final] ).

cnf(c_0_9287,plain,
    ( c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7085,
    [final] ).

cnf(c_0_9288,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7086,
    [final] ).

cnf(c_0_9289,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7087,
    [final] ).

cnf(c_0_9290,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7088,
    [final] ).

cnf(c_0_9291,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7089,
    [final] ).

cnf(c_0_9292,plain,
    ( c_minus(c_insert(X1,X2,X3),X4,tc_set(X3)) = c_minus(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    c_0_7090,
    [final] ).

cnf(c_0_9293,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7091,
    [final] ).

cnf(c_0_9294,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7092,
    [final] ).

cnf(c_0_9295,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7093,
    [final] ).

cnf(c_0_9296,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7094,
    [final] ).

cnf(c_0_9297,plain,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X1 = c_0 ),
    c_0_7095,
    [final] ).

cnf(c_0_9298,plain,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_plus(c_div(X1,X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X2 = c_0 ),
    c_0_7096,
    [final] ).

cnf(c_0_9299,plain,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7097,
    [final] ).

cnf(c_0_9300,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    c_0_7098,
    [final] ).

cnf(c_0_9301,plain,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_less(c_0,X2,tc_nat) ),
    c_0_7099,
    [final] ).

cnf(c_0_9302,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7100,
    [final] ).

cnf(c_0_9303,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7101,
    [final] ).

cnf(c_0_9304,plain,
    ( X1 = X2
    | c_List_Oop_Amem(X2,X3,X4)
    | ~ c_List_Oop_Amem(X2,c_List_Olist_OCons(X1,X3,X4),X4) ),
    c_0_7102,
    [final] ).

cnf(c_0_9305,plain,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    c_0_7103,
    [final] ).

cnf(c_0_9306,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7104,
    [final] ).

cnf(c_0_9307,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
    c_0_7105,
    [final] ).

cnf(c_0_9308,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
    c_0_7106,
    [final] ).

cnf(c_0_9309,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset ),
    c_0_7107,
    [final] ).

cnf(c_0_9310,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset ),
    c_0_7108,
    [final] ).

cnf(c_0_9311,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset ),
    c_0_7109,
    [final] ).

cnf(c_0_9312,plain,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset ),
    c_0_7110,
    [final] ).

cnf(c_0_9313,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7111,
    [final] ).

cnf(c_0_9314,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7112,
    [final] ).

cnf(c_0_9315,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7113,
    [final] ).

cnf(c_0_9316,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    c_0_7114,
    [final] ).

cnf(c_0_9317,plain,
    ( c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3) = c_Finite__Set_OMax(c_insert(X1,X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7115,
    [final] ).

cnf(c_0_9318,plain,
    ( c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3) = c_Finite__Set_OMin(c_insert(X1,X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7116,
    [final] ).

cnf(c_0_9319,plain,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    c_0_7117,
    [final] ).

cnf(c_0_9320,plain,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat) ),
    c_0_7118,
    [final] ).

cnf(c_0_9321,plain,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7119,
    [final] ).

cnf(c_0_9322,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,X3,X4) != c_emptyset ),
    c_0_7120,
    [final] ).

cnf(c_0_9323,plain,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,X3,X4) != c_emptyset ),
    c_0_7121,
    [final] ).

cnf(c_0_9324,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(X2,X4,X3) != c_emptyset ),
    c_0_7122,
    [final] ).

cnf(c_0_9325,plain,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(X2,X4,X3) != c_emptyset ),
    c_0_7123,
    [final] ).

cnf(c_0_9326,plain,
    ( c_List_Onth(c_List_Otake(X1,X2,X3),X4,X3) = c_List_Onth(X2,X4,X3)
    | ~ c_less(X4,X1,tc_nat) ),
    c_0_7124,
    [final] ).

cnf(c_0_9327,plain,
    ( c_Finite__Set_Ocard(c_insert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_7125,
    [final] ).

cnf(c_0_9328,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    c_0_7126,
    [final] ).

cnf(c_0_9329,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat) ),
    c_0_7127,
    [final] ).

cnf(c_0_9330,plain,
    ( c_inter(c_List_Oset(X1,X2),c_List_Oset(X3,X2),X2) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    c_0_7128,
    [final] ).

cnf(c_0_9331,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_7129,
    [final] ).

cnf(c_0_9332,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    c_0_7130,
    [final] ).

cnf(c_0_9333,plain,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    c_0_7131,
    [final] ).

cnf(c_0_9334,plain,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3)
    | c_in(X1,c_List_Oset(X4,X3),X3) ),
    c_0_7132,
    [final] ).

cnf(c_0_9335,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    c_0_7133,
    [final] ).

cnf(c_0_9336,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X2,X1,tc_nat),tc_nat) ),
    c_0_7134,
    [final] ).

cnf(c_0_9337,plain,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7135,
    [final] ).

cnf(c_0_9338,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7136,
    [final] ).

cnf(c_0_9339,plain,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    c_0_7137,
    [final] ).

cnf(c_0_9340,plain,
    ( c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    c_0_7138,
    [final] ).

cnf(c_0_9341,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7139,
    [final] ).

cnf(c_0_9342,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7140,
    [final] ).

cnf(c_0_9343,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7141,
    [final] ).

cnf(c_0_9344,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7142,
    [final] ).

cnf(c_0_9345,plain,
    ( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    c_0_7143,
    [final] ).

cnf(c_0_9346,plain,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
    | ~ c_in(c_0,X3,tc_nat) ),
    c_0_7144,
    [final] ).

cnf(c_0_9347,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7145,
    [final] ).

cnf(c_0_9348,plain,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    c_0_7146,
    [final] ).

cnf(c_0_9349,plain,
    ( c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    c_0_7147,
    [final] ).

cnf(c_0_9350,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7148,
    [final] ).

cnf(c_0_9351,plain,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    c_0_7149,
    [final] ).

cnf(c_0_9352,plain,
    ( c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X1,c_Suc(X2))
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_7150,
    [final] ).

cnf(c_0_9353,plain,
    ( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X2)),X1,tc_Message_Omsg)
    | c_in(X2,c_Message_OkeysFor(X1),tc_nat)
    | ~ c_in(X2,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
    c_0_7151,
    [final] ).

cnf(c_0_9354,plain,
    ( c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)) = c_minus(X1,X3,tc_set(X4))
    | c_in(X2,X1,X4) ),
    c_0_7152,
    [final] ).

cnf(c_0_9355,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7153,
    [final] ).

cnf(c_0_9356,plain,
    ( c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    c_0_7154,
    [final] ).

cnf(c_0_9357,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7155,
    [final] ).

cnf(c_0_9358,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7156,
    [final] ).

cnf(c_0_9359,plain,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    c_0_7157,
    [final] ).

cnf(c_0_9360,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7158,
    [final] ).

cnf(c_0_9361,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Inter(X4,X3),X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    c_0_7159,
    [final] ).

cnf(c_0_9362,plain,
    ( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3)
    | X1 = c_0 ),
    c_0_7160,
    [final] ).

cnf(c_0_9363,plain,
    ( c_divide(c_times(c_0,X1,X2),c_times(c_0,X3,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7161,
    [final] ).

cnf(c_0_9364,plain,
    ( c_divide(c_times(X1,c_0,X2),c_times(X3,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7162,
    [final] ).

cnf(c_0_9365,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
    c_0_7163,
    [final] ).

cnf(c_0_9366,plain,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7164,
    [final] ).

cnf(c_0_9367,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7165,
    [final] ).

cnf(c_0_9368,plain,
    ( c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7166,
    [final] ).

cnf(c_0_9369,plain,
    ( c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7167,
    [final] ).

cnf(c_0_9370,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7168,
    [final] ).

cnf(c_0_9371,plain,
    ( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
    | c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
    c_0_7169,
    [final] ).

cnf(c_0_9372,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7170,
    [final] ).

cnf(c_0_9373,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_7171,
    [final] ).

cnf(c_0_9374,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_7172,
    [final] ).

cnf(c_0_9375,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_7173,
    [final] ).

cnf(c_0_9376,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_7174,
    [final] ).

cnf(c_0_9377,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_7175,
    [final] ).

cnf(c_0_9378,plain,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_7176,
    [final] ).

cnf(c_0_9379,plain,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_7177,
    [final] ).

cnf(c_0_9380,plain,
    ( X1 = X2
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    c_0_7178,
    [final] ).

cnf(c_0_9381,plain,
    ( c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7179,
    [final] ).

cnf(c_0_9382,plain,
    ( c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7180,
    [final] ).

cnf(c_0_9383,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    c_0_7181,
    [final] ).

cnf(c_0_9384,plain,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7182,
    [final] ).

cnf(c_0_9385,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7183,
    [final] ).

cnf(c_0_9386,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7184,
    [final] ).

cnf(c_0_9387,plain,
    ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7185,
    [final] ).

cnf(c_0_9388,plain,
    ( c_in(X1,c_Union(X2,X3),X3)
    | ~ c_in(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    c_0_7186,
    [final] ).

cnf(c_0_9389,plain,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    c_0_7187,
    [final] ).

cnf(c_0_9390,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7188,
    [final] ).

cnf(c_0_9391,plain,
    ( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_7189,
    [final] ).

cnf(c_0_9392,plain,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_7190,
    [final] ).

cnf(c_0_9393,plain,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    c_0_7191,
    [final] ).

cnf(c_0_9394,plain,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    c_0_7192,
    [final] ).

cnf(c_0_9395,plain,
    ( c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7193,
    [final] ).

cnf(c_0_9396,plain,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7194,
    [final] ).

cnf(c_0_9397,plain,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7195,
    [final] ).

cnf(c_0_9398,plain,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7196,
    [final] ).

cnf(c_0_9399,plain,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat) ),
    c_0_7197,
    [final] ).

cnf(c_0_9400,plain,
    ( c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7198,
    [final] ).

cnf(c_0_9401,plain,
    ( c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7199,
    [final] ).

cnf(c_0_9402,plain,
    ( c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7200,
    [final] ).

cnf(c_0_9403,plain,
    ( c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7201,
    [final] ).

cnf(c_0_9404,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7202,
    [final] ).

cnf(c_0_9405,plain,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    c_0_7203,
    [final] ).

cnf(c_0_9406,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    c_0_7204,
    [final] ).

cnf(c_0_9407,plain,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0 ),
    c_0_7205,
    [final] ).

cnf(c_0_9408,plain,
    ( c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7206,
    [final] ).

cnf(c_0_9409,plain,
    ( c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7207,
    [final] ).

cnf(c_0_9410,plain,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    c_0_7208,
    [final] ).

cnf(c_0_9411,plain,
    ( c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7209,
    [final] ).

cnf(c_0_9412,plain,
    ( c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7210,
    [final] ).

cnf(c_0_9413,plain,
    ( c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7211,
    [final] ).

cnf(c_0_9414,plain,
    ( c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7212,
    [final] ).

cnf(c_0_9415,plain,
    ( c_minus(c_insert(X1,c_emptyset,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7213,
    [final] ).

cnf(c_0_9416,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7214,
    [final] ).

cnf(c_0_9417,plain,
    ( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    c_0_7215,
    [final] ).

cnf(c_0_9418,plain,
    ( c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    c_0_7216,
    [final] ).

cnf(c_0_9419,plain,
    ( c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Oop_Amem(X1,X3,X4) ),
    c_0_7217,
    [final] ).

cnf(c_0_9420,plain,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4) ),
    c_0_7218,
    [final] ).

cnf(c_0_9421,plain,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    c_0_7219,
    [final] ).

cnf(c_0_9422,plain,
    ( c_in(X1,c_insert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    c_0_7220,
    [final] ).

cnf(c_0_9423,plain,
    ( c_List_Onth(c_List_Oreplicate(X1,X2,X3),X4,X3) = X2
    | ~ c_less(X4,X1,tc_nat) ),
    c_0_7221,
    [final] ).

cnf(c_0_9424,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7222,
    [final] ).

cnf(c_0_9425,plain,
    ( c_minus(X1,c_minus(X1,X2,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_7223,
    [final] ).

cnf(c_0_9426,plain,
    ( c_plus(c_minus(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_7224,
    [final] ).

cnf(c_0_9427,plain,
    ( c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_7225,
    [final] ).

cnf(c_0_9428,plain,
    ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    c_0_7226,
    [final] ).

cnf(c_0_9429,plain,
    ( c_divide(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) = c_HOL_Oabs(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7227,
    [final] ).

cnf(c_0_9430,plain,
    ( c_times(c_HOL_Oinverse(X1,X3),c_HOL_Oinverse(X2,X3),X3) = c_HOL_Oinverse(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7228,
    [final] ).

cnf(c_0_9431,plain,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat) ),
    c_0_7229,
    [final] ).

cnf(c_0_9432,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7230,
    [final] ).

cnf(c_0_9433,plain,
    ( c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(X2,X1,tc_nat) ),
    c_0_7231,
    [final] ).

cnf(c_0_9434,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    c_0_7232,
    [final] ).

cnf(c_0_9435,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    c_0_7233,
    [final] ).

cnf(c_0_9436,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7234,
    [final] ).

cnf(c_0_9437,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7235,
    [final] ).

cnf(c_0_9438,plain,
    ( c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7236,
    [final] ).

cnf(c_0_9439,plain,
    ( c_div(c_times(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_7237,
    [final] ).

cnf(c_0_9440,plain,
    ( c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    c_0_7238,
    [final] ).

cnf(c_0_9441,plain,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_7239,
    [final] ).

cnf(c_0_9442,plain,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_7240,
    [final] ).

cnf(c_0_9443,plain,
    ( c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    c_0_7241,
    [final] ).

cnf(c_0_9444,plain,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    c_0_7242,
    [final] ).

cnf(c_0_9445,plain,
    ( c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
    c_0_7243,
    [final] ).

cnf(c_0_9446,plain,
    ( c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    c_0_7244,
    [final] ).

cnf(c_0_9447,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7245,
    [final] ).

cnf(c_0_9448,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    c_0_7246,
    [final] ).

cnf(c_0_9449,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    c_0_7247,
    [final] ).

cnf(c_0_9450,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    c_0_7248,
    [final] ).

cnf(c_0_9451,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    c_0_7249,
    [final] ).

cnf(c_0_9452,plain,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    c_0_7250,
    [final] ).

cnf(c_0_9453,plain,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(X2,c_0,tc_IntDef_Oint) ),
    c_0_7251,
    [final] ).

cnf(c_0_9454,plain,
    ( c_lessequals(c_0,c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    c_0_7252,
    [final] ).

cnf(c_0_9455,plain,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7253,
    [final] ).

cnf(c_0_9456,plain,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    c_0_7254,
    [final] ).

cnf(c_0_9457,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_nat),tc_nat) ),
    c_0_7255,
    [final] ).

cnf(c_0_9458,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7256,
    [final] ).

cnf(c_0_9459,plain,
    ( c_plus(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_plus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_7257,
    [final] ).

cnf(c_0_9460,plain,
    ( c_LOrder_Omeet(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Ojoin(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    c_0_7258,
    [final] ).

cnf(c_0_9461,plain,
    ( c_LOrder_Ojoin(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Omeet(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    c_0_7259,
    [final] ).

cnf(c_0_9462,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    c_0_7260,
    [final] ).

cnf(c_0_9463,plain,
    ( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
    | ~ c_lessequals(X3,X1,tc_set(X2)) ),
    c_0_7261,
    [final] ).

cnf(c_0_9464,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7262,
    [final] ).

cnf(c_0_9465,plain,
    ( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_7263,
    [final] ).

cnf(c_0_9466,plain,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7264,
    [final] ).

cnf(c_0_9467,plain,
    ( c_plus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7265,
    [final] ).

cnf(c_0_9468,plain,
    ( c_minus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7266,
    [final] ).

cnf(c_0_9469,plain,
    ( c_times(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_7267,
    [final] ).

cnf(c_0_9470,plain,
    ( c_plus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    c_0_7268,
    [final] ).

cnf(c_0_9471,plain,
    ( c_times(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    c_0_7269,
    [final] ).

cnf(c_0_9472,plain,
    ( c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(c_0,X2,tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    c_0_7270,
    [final] ).

cnf(c_0_9473,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7271,
    [final] ).

cnf(c_0_9474,plain,
    ( c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7272,
    [final] ).

cnf(c_0_9475,plain,
    ( c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7273,
    [final] ).

cnf(c_0_9476,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7274,
    [final] ).

cnf(c_0_9477,plain,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_7275,
    [final] ).

cnf(c_0_9478,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7276,
    [final] ).

cnf(c_0_9479,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2)
    | c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7277,
    [final] ).

cnf(c_0_9480,plain,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7278,
    [final] ).

cnf(c_0_9481,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7279,
    [final] ).

cnf(c_0_9482,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_7280,
    [final] ).

cnf(c_0_9483,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_7281,
    [final] ).

cnf(c_0_9484,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7282,
    [final] ).

cnf(c_0_9485,plain,
    ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7283,
    [final] ).

cnf(c_0_9486,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7284,
    [final] ).

cnf(c_0_9487,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_7285,
    [final] ).

cnf(c_0_9488,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_7286,
    [final] ).

cnf(c_0_9489,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7287,
    [final] ).

cnf(c_0_9490,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_7288,
    [final] ).

cnf(c_0_9491,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    c_0_7289,
    [final] ).

cnf(c_0_9492,plain,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),c_0,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7290,
    [final] ).

cnf(c_0_9493,plain,
    ( c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X3),X3) = c_Orderings_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7291,
    [final] ).

cnf(c_0_9494,plain,
    ( c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X3),X3) = c_Orderings_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7292,
    [final] ).

cnf(c_0_9495,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    c_0_7293,
    [final] ).

cnf(c_0_9496,plain,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_7294,
    [final] ).

cnf(c_0_9497,plain,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    c_0_7295,
    [final] ).

cnf(c_0_9498,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7296,
    [final] ).

cnf(c_0_9499,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_Numeral_Onumber__of(X3,X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7297,
    [final] ).

cnf(c_0_9500,plain,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    c_0_7298,
    [final] ).

cnf(c_0_9501,plain,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    c_0_7299,
    [final] ).

cnf(c_0_9502,plain,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7300,
    [final] ).

cnf(c_0_9503,plain,
    ( c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7301,
    [final] ).

cnf(c_0_9504,plain,
    ( c_less(X1,c_uminus(c_1,X2),X2)
    | ~ c_less(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7302,
    [final] ).

cnf(c_0_9505,plain,
    ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7303,
    [final] ).

cnf(c_0_9506,plain,
    ( c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    c_0_7304,
    [final] ).

cnf(c_0_9507,plain,
    ( c_less(c_uminus(c_1,X1),X2,X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    c_0_7305,
    [final] ).

cnf(c_0_9508,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7306,
    [final] ).

cnf(c_0_9509,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7307,
    [final] ).

cnf(c_0_9510,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    c_0_7308,
    [final] ).

cnf(c_0_9511,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    c_0_7309,
    [final] ).

cnf(c_0_9512,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7310,
    [final] ).

cnf(c_0_9513,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7311,
    [final] ).

cnf(c_0_9514,plain,
    ( c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7312,
    [final] ).

cnf(c_0_9515,plain,
    ( c_less(c_1,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7313,
    [final] ).

cnf(c_0_9516,plain,
    ( c_lessequals(c_uminus(X1,X2),c_1,X2)
    | ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7314,
    [final] ).

cnf(c_0_9517,plain,
    ( c_less(c_uminus(X1,X2),c_1,X2)
    | ~ c_less(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7315,
    [final] ).

cnf(c_0_9518,plain,
    ( c_divide(X1,c_uminus(X2,X3),X3) = c_uminus(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7316,
    [final] ).

cnf(c_0_9519,plain,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    c_0_7317,
    [final] ).

cnf(c_0_9520,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7318,
    [final] ).

cnf(c_0_9521,plain,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_ONil
    | c_in(c_0,X3,tc_nat) ),
    c_0_7319,
    [final] ).

cnf(c_0_9522,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    c_0_7320,
    [final] ).

cnf(c_0_9523,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7321,
    [final] ).

cnf(c_0_9524,plain,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7322,
    [final] ).

cnf(c_0_9525,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7323,
    [final] ).

cnf(c_0_9526,plain,
    ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    c_0_7324,
    [final] ).

cnf(c_0_9527,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    c_0_7325,
    [final] ).

cnf(c_0_9528,plain,
    ( c_divide(c_uminus(X1,X2),X3,X2) = c_uminus(c_divide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7326,
    [final] ).

cnf(c_0_9529,plain,
    ( c_times(c_uminus(X1,X2),X3,X2) = c_uminus(c_times(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_7327,
    [final] ).

cnf(c_0_9530,plain,
    ( c_times(X1,c_uminus(X2,X3),X3) = c_uminus(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_7328,
    [final] ).

cnf(c_0_9531,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7329,
    [final] ).

cnf(c_0_9532,plain,
    ( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7330,
    [final] ).

cnf(c_0_9533,plain,
    ( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7331,
    [final] ).

cnf(c_0_9534,plain,
    ( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7332,
    [final] ).

cnf(c_0_9535,plain,
    ( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7333,
    [final] ).

cnf(c_0_9536,plain,
    ( c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = X1
    | c_Numeral_Onumber__of(X4,tc_nat) != c_0 ),
    c_0_7334,
    [final] ).

cnf(c_0_9537,plain,
    ( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_7335,
    [final] ).

cnf(c_0_9538,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
    c_0_7336,
    [final] ).

cnf(c_0_9539,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    c_0_7337,
    [final] ).

cnf(c_0_9540,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X3,X1,X2),X2) ),
    c_0_7338,
    [final] ).

cnf(c_0_9541,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
    c_0_7339,
    [final] ).

cnf(c_0_9542,plain,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    c_0_7340,
    [final] ).

cnf(c_0_9543,plain,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    c_0_7341,
    [final] ).

cnf(c_0_9544,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7342,
    [final] ).

cnf(c_0_9545,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7343,
    [final] ).

cnf(c_0_9546,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7344,
    [final] ).

cnf(c_0_9547,plain,
    ( c_Message_OinvKey(v_sko__uhi(X2,X1)) = X1
    | c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    c_0_7345,
    [final] ).

cnf(c_0_9548,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7346,
    [final] ).

cnf(c_0_9549,plain,
    ( c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3)
    | X2 = c_List_Olist_ONil ),
    c_0_7347,
    [final] ).

cnf(c_0_9550,plain,
    ( c_append(c_List_Otl(X1,X3),X2,X3) = c_List_Otl(c_append(X1,X2,X3),X3)
    | X1 = c_List_Olist_ONil ),
    c_0_7348,
    [final] ).

cnf(c_0_9551,plain,
    ( c_lessequals(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7349,
    [final] ).

cnf(c_0_9552,plain,
    ( c_less(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7350,
    [final] ).

cnf(c_0_9553,plain,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_OrderedGroup_Onprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7351,
    [final] ).

cnf(c_0_9554,plain,
    ( c_lessequals(c_OrderedGroup_Opprt(X1,X2),c_OrderedGroup_Opprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7352,
    [final] ).

cnf(c_0_9555,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7353,
    [final] ).

cnf(c_0_9556,plain,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0 ),
    c_0_7354,
    [final] ).

cnf(c_0_9557,plain,
    ( c_List_Otake(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    c_0_7355,
    [final] ).

cnf(c_0_9558,plain,
    ( c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    c_0_7356,
    [final] ).

cnf(c_0_9559,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7357,
    [final] ).

cnf(c_0_9560,plain,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7358,
    [final] ).

cnf(c_0_9561,plain,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_less(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7359,
    [final] ).

cnf(c_0_9562,plain,
    ( c_lessequals(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7360,
    [final] ).

cnf(c_0_9563,plain,
    ( c_less(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_less(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7361,
    [final] ).

cnf(c_0_9564,plain,
    ( X1 = X2
    | ~ c_in(X2,X3,X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
    c_0_7362,
    [final] ).

cnf(c_0_9565,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    c_0_7363,
    [final] ).

cnf(c_0_9566,plain,
    ( c_List_Orotate(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),c_1,tc_nat) ),
    c_0_7364,
    [final] ).

cnf(c_0_9567,plain,
    ( c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7365,
    [final] ).

cnf(c_0_9568,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    c_0_7366,
    [final] ).

cnf(c_0_9569,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7367,
    [final] ).

cnf(c_0_9570,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7368,
    [final] ).

cnf(c_0_9571,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7369,
    [final] ).

cnf(c_0_9572,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7370,
    [final] ).

cnf(c_0_9573,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    c_0_7371,
    [final] ).

cnf(c_0_9574,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_7372,
    [final] ).

cnf(c_0_9575,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_7373,
    [final] ).

cnf(c_0_9576,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_7374,
    [final] ).

cnf(c_0_9577,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_7375,
    [final] ).

cnf(c_0_9578,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    c_0_7376,
    [final] ).

cnf(c_0_9579,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
    c_0_7377,
    [final] ).

cnf(c_0_9580,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_7378,
    [final] ).

cnf(c_0_9581,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7379,
    [final] ).

cnf(c_0_9582,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7380,
    [final] ).

cnf(c_0_9583,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7381,
    [final] ).

cnf(c_0_9584,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7382,
    [final] ).

cnf(c_0_9585,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X2,X1,tc_set(X3)) ),
    c_0_7383,
    [final] ).

cnf(c_0_9586,plain,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7384,
    [final] ).

cnf(c_0_9587,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7385,
    [final] ).

cnf(c_0_9588,plain,
    ( c_HOL_Oinverse(c_divide(X1,X2,X3),X3) = c_divide(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7386,
    [final] ).

cnf(c_0_9589,plain,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    c_0_7387,
    [final] ).

cnf(c_0_9590,plain,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    c_0_7388,
    [final] ).

cnf(c_0_9591,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7389,
    [final] ).

cnf(c_0_9592,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7390,
    [final] ).

cnf(c_0_9593,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7391,
    [final] ).

cnf(c_0_9594,plain,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7392,
    [final] ).

cnf(c_0_9595,plain,
    ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7393,
    [final] ).

cnf(c_0_9596,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7394,
    [final] ).

cnf(c_0_9597,plain,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7395,
    [final] ).

cnf(c_0_9598,plain,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7396,
    [final] ).

cnf(c_0_9599,plain,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7397,
    [final] ).

cnf(c_0_9600,plain,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7398,
    [final] ).

cnf(c_0_9601,plain,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7399,
    [final] ).

cnf(c_0_9602,plain,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7400,
    [final] ).

cnf(c_0_9603,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7401,
    [final] ).

cnf(c_0_9604,plain,
    ( c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7402,
    [final] ).

cnf(c_0_9605,plain,
    ( c_less(X1,c_0,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7403,
    [final] ).

cnf(c_0_9606,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7404,
    [final] ).

cnf(c_0_9607,plain,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7405,
    [final] ).

cnf(c_0_9608,plain,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7406,
    [final] ).

cnf(c_0_9609,plain,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    c_0_7407,
    [final] ).

cnf(c_0_9610,plain,
    ( c_uminus(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_7408,
    [final] ).

cnf(c_0_9611,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_7409,
    [final] ).

cnf(c_0_9612,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_7410,
    [final] ).

cnf(c_0_9613,plain,
    ( X1 = X2
    | c_plus(X3,X1,X4) != c_plus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_7411,
    [final] ).

cnf(c_0_9614,plain,
    ( X1 = X2
    | c_plus(X1,X3,X4) != c_plus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_7412,
    [final] ).

cnf(c_0_9615,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    c_0_7413,
    [final] ).

cnf(c_0_9616,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    c_0_7414,
    [final] ).

cnf(c_0_9617,plain,
    ( c_divide(c_times(X1,X2,X3),X1,X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7415,
    [final] ).

cnf(c_0_9618,plain,
    ( c_divide(c_times(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7416,
    [final] ).

cnf(c_0_9619,plain,
    ( c_times(c_divide(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7417,
    [final] ).

cnf(c_0_9620,plain,
    ( c_times(X1,c_divide(X2,X1,X3),X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7418,
    [final] ).

cnf(c_0_9621,plain,
    ( c_minus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7419,
    [final] ).

cnf(c_0_9622,plain,
    ( c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
    | c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil ),
    c_0_7420,
    [final] ).

cnf(c_0_9623,plain,
    ( c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7421,
    [final] ).

cnf(c_0_9624,plain,
    ( c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7422,
    [final] ).

cnf(c_0_9625,plain,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7423,
    [final] ).

cnf(c_0_9626,plain,
    ( c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7424,
    [final] ).

cnf(c_0_9627,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    c_0_7425,
    [final] ).

cnf(c_0_9628,plain,
    ( c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3)
    | X1 = c_0 ),
    c_0_7426,
    [final] ).

cnf(c_0_9629,plain,
    ( c_divide(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_divide(X1,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7427,
    [final] ).

cnf(c_0_9630,plain,
    ( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7428,
    [final] ).

cnf(c_0_9631,plain,
    ( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7429,
    [final] ).

cnf(c_0_9632,plain,
    ( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7430,
    [final] ).

cnf(c_0_9633,plain,
    ( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    c_0_7431,
    [final] ).

cnf(c_0_9634,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7432,
    [final] ).

cnf(c_0_9635,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7433,
    [final] ).

cnf(c_0_9636,plain,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7434,
    [final] ).

cnf(c_0_9637,plain,
    ( c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7435,
    [final] ).

cnf(c_0_9638,plain,
    ( X1 = X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
    c_0_7436,
    [final] ).

cnf(c_0_9639,plain,
    ( X1 = X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
    c_0_7437,
    [final] ).

cnf(c_0_9640,plain,
    ( X1 = X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
    c_0_7438,
    [final] ).

cnf(c_0_9641,plain,
    ( X1 = X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
    c_0_7439,
    [final] ).

cnf(c_0_9642,plain,
    ( X1 = X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
    c_0_7440,
    [final] ).

cnf(c_0_9643,plain,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
    c_0_7441,
    [final] ).

cnf(c_0_9644,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_7442,
    [final] ).

cnf(c_0_9645,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    c_0_7443,
    [final] ).

cnf(c_0_9646,plain,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
    c_0_7444,
    [final] ).

cnf(c_0_9647,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7445,
    [final] ).

cnf(c_0_9648,plain,
    ( X1 = X2
    | c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
    c_0_7446,
    [final] ).

cnf(c_0_9649,plain,
    ( X1 = X2
    | c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
    c_0_7447,
    [final] ).

cnf(c_0_9650,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    c_0_7448,
    [final] ).

cnf(c_0_9651,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    c_0_7449,
    [final] ).

cnf(c_0_9652,plain,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    c_0_7450,
    [final] ).

cnf(c_0_9653,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7451,
    [final] ).

cnf(c_0_9654,plain,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    c_0_7452,
    [final] ).

cnf(c_0_9655,plain,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7453,
    [final] ).

cnf(c_0_9656,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    c_0_7454,
    [final] ).

cnf(c_0_9657,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    c_0_7455,
    [final] ).

cnf(c_0_9658,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    c_0_7456,
    [final] ).

cnf(c_0_9659,plain,
    ( c_divide(c_0,c_times(c_0,X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7457,
    [final] ).

cnf(c_0_9660,plain,
    ( c_divide(c_times(c_0,X1,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7458,
    [final] ).

cnf(c_0_9661,plain,
    ( c_divide(c_0,c_times(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7459,
    [final] ).

cnf(c_0_9662,plain,
    ( c_divide(c_times(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7460,
    [final] ).

cnf(c_0_9663,plain,
    ( c_times(c_divide(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7461,
    [final] ).

cnf(c_0_9664,plain,
    ( c_times(c_0,c_divide(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7462,
    [final] ).

cnf(c_0_9665,plain,
    ( X1 = X2
    | c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
    c_0_7463,
    [final] ).

cnf(c_0_9666,plain,
    ( X1 = X2
    | c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
    c_0_7464,
    [final] ).

cnf(c_0_9667,plain,
    ( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    c_0_7465,
    [final] ).

cnf(c_0_9668,plain,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7466,
    [final] ).

cnf(c_0_9669,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7467,
    [final] ).

cnf(c_0_9670,plain,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    c_0_7468,
    [final] ).

cnf(c_0_9671,plain,
    ( c_in(c_uminus(X1,X2),c_IntDef_OInts,X2)
    | ~ c_in(X1,c_IntDef_OInts,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    c_0_7469,
    [final] ).

cnf(c_0_9672,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    c_0_7470,
    [final] ).

cnf(c_0_9673,plain,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,tc_nat) != c_times(X3,X1,tc_nat) ),
    c_0_7471,
    [final] ).

cnf(c_0_9674,plain,
    ( c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7472,
    [final] ).

cnf(c_0_9675,plain,
    ( c_less(c_0,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7473,
    [final] ).

cnf(c_0_9676,plain,
    ( c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7474,
    [final] ).

cnf(c_0_9677,plain,
    ( c_less(c_uminus(X1,X2),c_0,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_7475,
    [final] ).

cnf(c_0_9678,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    c_0_7476,
    [final] ).

cnf(c_0_9679,plain,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2)
    | ~ c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7477,
    [final] ).

cnf(c_0_9680,plain,
    ( X1 = X2
    | c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
    c_0_7478,
    [final] ).

cnf(c_0_9681,plain,
    ( X1 = X2
    | c_plus(X3,X1,tc_nat) != c_plus(X3,X2,tc_nat) ),
    c_0_7479,
    [final] ).

cnf(c_0_9682,plain,
    ( X1 = X2
    | c_plus(X1,X3,tc_nat) != c_plus(X2,X3,tc_nat) ),
    c_0_7480,
    [final] ).

cnf(c_0_9683,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | c_Numeral_Onumber__of(X1,X3) != c_Numeral_Onumber__of(X2,X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    c_0_7481,
    [final] ).

cnf(c_0_9684,plain,
    ( c_times(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_times(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_7482,
    [final] ).

cnf(c_0_9685,plain,
    ( c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7483,
    [final] ).

cnf(c_0_9686,plain,
    ( c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7484,
    [final] ).

cnf(c_0_9687,plain,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7485,
    [final] ).

cnf(c_0_9688,plain,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7486,
    [final] ).

cnf(c_0_9689,plain,
    ( c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7487,
    [final] ).

cnf(c_0_9690,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7488,
    [final] ).

cnf(c_0_9691,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7489,
    [final] ).

cnf(c_0_9692,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7490,
    [final] ).

cnf(c_0_9693,plain,
    ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    c_0_7491,
    [final] ).

cnf(c_0_9694,plain,
    ( c_plus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7492,
    [final] ).

cnf(c_0_9695,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7493,
    [final] ).

cnf(c_0_9696,plain,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7494,
    [final] ).

cnf(c_0_9697,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    c_0_7495,
    [final] ).

cnf(c_0_9698,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat) ),
    c_0_7496,
    [final] ).

cnf(c_0_9699,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7497,
    [final] ).

cnf(c_0_9700,plain,
    ( c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1
    | c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
    c_0_7498,
    [final] ).

cnf(c_0_9701,plain,
    ( c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    c_0_7499,
    [final] ).

cnf(c_0_9702,plain,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_7500,
    [final] ).

cnf(c_0_9703,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_7501,
    [final] ).

cnf(c_0_9704,plain,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    c_0_7502,
    [final] ).

cnf(c_0_9705,plain,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    c_0_7503,
    [final] ).

cnf(c_0_9706,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    c_0_7504,
    [final] ).

cnf(c_0_9707,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) != c_List_Orev(X1,X3) ),
    c_0_7505,
    [final] ).

cnf(c_0_9708,plain,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = X1
    | X2 = c_0 ),
    c_0_7506,
    [final] ).

cnf(c_0_9709,plain,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2
    | X1 = c_0 ),
    c_0_7507,
    [final] ).

cnf(c_0_9710,plain,
    ( X1 = X2
    | c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    c_0_7508,
    [final] ).

cnf(c_0_9711,plain,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    c_0_7509,
    [final] ).

cnf(c_0_9712,plain,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    c_0_7510,
    [final] ).

cnf(c_0_9713,plain,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_7511,
    [final] ).

cnf(c_0_9714,plain,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7512,
    [final] ).

cnf(c_0_9715,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    c_0_7513,
    [final] ).

cnf(c_0_9716,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7514,
    [final] ).

cnf(c_0_9717,plain,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    c_0_7515,
    [final] ).

cnf(c_0_9718,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    c_0_7516,
    [final] ).

cnf(c_0_9719,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) != c_emptyset ),
    c_0_7517,
    [final] ).

cnf(c_0_9720,plain,
    ( c_minus(X1,X2,tc_set(X3)) = c_emptyset
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    c_0_7518,
    [final] ).

cnf(c_0_9721,plain,
    ( c_List_Orotate1(X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    c_0_7519,
    [final] ).

cnf(c_0_9722,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    c_0_7520,
    [final] ).

cnf(c_0_9723,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    c_0_7521,
    [final] ).

cnf(c_0_9724,plain,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    c_0_7522,
    [final] ).

cnf(c_0_9725,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    c_0_7523,
    [final] ).

cnf(c_0_9726,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    c_0_7524,
    [final] ).

cnf(c_0_9727,plain,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7525,
    [final] ).

cnf(c_0_9728,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7526,
    [final] ).

cnf(c_0_9729,plain,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7527,
    [final] ).

cnf(c_0_9730,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X2),c_IntDef_Onat(X1),tc_nat) ),
    c_0_7528,
    [final] ).

cnf(c_0_9731,plain,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7529,
    [final] ).

cnf(c_0_9732,plain,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7530,
    [final] ).

cnf(c_0_9733,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_7531,
    [final] ).

cnf(c_0_9734,plain,
    ( c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(X2,X1,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7532,
    [final] ).

cnf(c_0_9735,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7533,
    [final] ).

cnf(c_0_9736,plain,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    c_0_7534,
    [final] ).

cnf(c_0_9737,plain,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7535,
    [final] ).

cnf(c_0_9738,plain,
    ( c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_7536,
    [final] ).

cnf(c_0_9739,plain,
    ( c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7537,
    [final] ).

cnf(c_0_9740,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_7538,
    [final] ).

cnf(c_0_9741,plain,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7539,
    [final] ).

cnf(c_0_9742,plain,
    ( c_Nat_Opower(c_0,X1,X2) = c_0
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    c_0_7540,
    [final] ).

cnf(c_0_9743,plain,
    ( c_SetInterval_OatLeastAtMost(X1,X2,X3) = c_emptyset
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_7541,
    [final] ).

cnf(c_0_9744,plain,
    ( c_SetInterval_OatLeastLessThan(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_7542,
    [final] ).

cnf(c_0_9745,plain,
    ( c_SetInterval_OgreaterThanAtMost(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_7543,
    [final] ).

cnf(c_0_9746,plain,
    ( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | c_in(X1,X2,X3) ),
    c_0_7544,
    [final] ).

cnf(c_0_9747,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7545,
    [final] ).

cnf(c_0_9748,plain,
    ( c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    c_0_7546,
    [final] ).

cnf(c_0_9749,plain,
    ( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7547,
    [final] ).

cnf(c_0_9750,plain,
    ( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7548,
    [final] ).

cnf(c_0_9751,plain,
    ( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7549,
    [final] ).

cnf(c_0_9752,plain,
    ( c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X1,X3) ),
    c_0_7550,
    [final] ).

cnf(c_0_9753,plain,
    ( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    c_0_7551,
    [final] ).

cnf(c_0_9754,plain,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    c_0_7552,
    [final] ).

cnf(c_0_9755,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_7553,
    [final] ).

cnf(c_0_9756,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_7554,
    [final] ).

cnf(c_0_9757,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_7555,
    [final] ).

cnf(c_0_9758,plain,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    c_0_7556,
    [final] ).

cnf(c_0_9759,plain,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    c_0_7557,
    [final] ).

cnf(c_0_9760,plain,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    c_0_7558,
    [final] ).

cnf(c_0_9761,plain,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7559,
    [final] ).

cnf(c_0_9762,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat) ),
    c_0_7560,
    [final] ).

cnf(c_0_9763,plain,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7561,
    [final] ).

cnf(c_0_9764,plain,
    ( X1 = c_Datatype_Ooption_OSome(X2,X3)
    | ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
    c_0_7562,
    [final] ).

cnf(c_0_9765,plain,
    ( c_minus(X1,c_uminus(X2,X3),X3) = c_plus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_7563,
    [final] ).

cnf(c_0_9766,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7564,
    [final] ).

cnf(c_0_9767,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    c_0_7565,
    [final] ).

cnf(c_0_9768,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    c_0_7566,
    [final] ).

cnf(c_0_9769,plain,
    ( c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7567,
    [final] ).

cnf(c_0_9770,plain,
    ( c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    c_0_7568,
    [final] ).

cnf(c_0_9771,plain,
    ( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_7569,
    [final] ).

cnf(c_0_9772,plain,
    ( X1 = c_0
    | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7570,
    [final] ).

cnf(c_0_9773,plain,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7571,
    [final] ).

cnf(c_0_9774,plain,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7572,
    [final] ).

cnf(c_0_9775,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7573,
    [final] ).

cnf(c_0_9776,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7574,
    [final] ).

cnf(c_0_9777,plain,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    c_0_7575,
    [final] ).

cnf(c_0_9778,plain,
    ( c_div(X1,X2,tc_nat) = c_0
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7576,
    [final] ).

cnf(c_0_9779,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) != c_0 ),
    c_0_7577,
    [final] ).

cnf(c_0_9780,plain,
    ( c_minus(X1,X2,tc_nat) = c_0
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_7578,
    [final] ).

cnf(c_0_9781,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    c_0_7579,
    [final] ).

cnf(c_0_9782,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    c_0_7580,
    [final] ).

cnf(c_0_9783,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    c_0_7581,
    [final] ).

cnf(c_0_9784,plain,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    c_0_7582,
    [final] ).

cnf(c_0_9785,plain,
    ( c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
    | X1 = c_List_Olist_ONil ),
    c_0_7583,
    [final] ).

cnf(c_0_9786,plain,
    ( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    c_0_7584,
    [final] ).

cnf(c_0_9787,plain,
    ( c_List_Olast(c_append(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    c_0_7585,
    [final] ).

cnf(c_0_9788,plain,
    ( X1 = c_0
    | c_LOrder_Ojoin(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7586,
    [final] ).

cnf(c_0_9789,plain,
    ( X1 = c_0
    | c_LOrder_Omeet(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7587,
    [final] ).

cnf(c_0_9790,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1) = c_plus(c_1,c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7588,
    [final] ).

cnf(c_0_9791,plain,
    ( c_div(X1,X1,tc_nat) = c_1
    | ~ c_less(c_0,X1,tc_nat) ),
    c_0_7589,
    [final] ).

cnf(c_0_9792,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7590,
    [final] ).

cnf(c_0_9793,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7591,
    [final] ).

cnf(c_0_9794,plain,
    ( c_divide(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7592,
    [final] ).

cnf(c_0_9795,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7593,
    [final] ).

cnf(c_0_9796,plain,
    ( ~ c_less(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7594,
    [final] ).

cnf(c_0_9797,plain,
    ( ~ c_less(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7595,
    [final] ).

cnf(c_0_9798,plain,
    ( ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7596,
    [final] ).

cnf(c_0_9799,plain,
    ( c_Finite__Set_OMax(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7597,
    [final] ).

cnf(c_0_9800,plain,
    ( c_Finite__Set_OMin(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7598,
    [final] ).

cnf(c_0_9801,plain,
    ( c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7599,
    [final] ).

cnf(c_0_9802,plain,
    ( c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7600,
    [final] ).

cnf(c_0_9803,plain,
    ( c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    c_0_7601,
    [final] ).

cnf(c_0_9804,plain,
    ( c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    c_0_7602,
    [final] ).

cnf(c_0_9805,plain,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    c_0_7603,
    [final] ).

cnf(c_0_9806,plain,
    ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    c_0_7604,
    [final] ).

cnf(c_0_9807,plain,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7605,
    [final] ).

cnf(c_0_9808,plain,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7606,
    [final] ).

cnf(c_0_9809,plain,
    ( c_divide(c_0,X1,X2) = c_divide(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7607,
    [final] ).

cnf(c_0_9810,plain,
    ( c_divide(X1,c_0,X2) = c_divide(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7608,
    [final] ).

cnf(c_0_9811,plain,
    ( X1 = c_UNIV
    | c_Inter(X2,X3) != c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    c_0_7609,
    [final] ).

cnf(c_0_9812,plain,
    ( X1 = c_UNIV
    | c_Inter(X2,X3) != c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    c_0_7610,
    [final] ).

cnf(c_0_9813,plain,
    ( X1 = c_emptyset
    | c_Union(X2,X3) != c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    c_0_7611,
    [final] ).

cnf(c_0_9814,plain,
    ( X1 = c_emptyset
    | c_Union(X2,X3) != c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    c_0_7612,
    [final] ).

cnf(c_0_9815,plain,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    c_0_7613,
    [final] ).

cnf(c_0_9816,plain,
    ( c_HOL_Oabs(X1,X2) = c_uminus(X1,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7614,
    [final] ).

cnf(c_0_9817,plain,
    ( X1 = c_0
    | ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    c_0_7615,
    [final] ).

cnf(c_0_9818,plain,
    ( X1 = c_emptyset
    | c_Finite__Set_Ocard(X1,X2) != c_0
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7616,
    [final] ).

cnf(c_0_9819,plain,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_7617,
    [final] ).

cnf(c_0_9820,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7618,
    [final] ).

cnf(c_0_9821,plain,
    ( c_SetInterval_OatLeastAtMost(X1,X1,X2) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7619,
    [final] ).

cnf(c_0_9822,plain,
    ( c_times(c_0,X1,X2) = c_times(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7620,
    [final] ).

cnf(c_0_9823,plain,
    ( c_times(X1,c_0,X2) = c_times(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7621,
    [final] ).

cnf(c_0_9824,plain,
    ( c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7622,
    [final] ).

cnf(c_0_9825,plain,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_7623,
    [final] ).

cnf(c_0_9826,plain,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7624,
    [final] ).

cnf(c_0_9827,plain,
    ( c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    c_0_7625,
    [final] ).

cnf(c_0_9828,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2) ),
    c_0_7626,
    [final] ).

cnf(c_0_9829,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2) ),
    c_0_7627,
    [final] ).

cnf(c_0_9830,plain,
    ( c_plus(c_NatArith_Oof__nat(X1,X2),c_1,X2) = c_NatArith_Oof__nat(c_Suc(X1),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    c_0_7628,
    [final] ).

cnf(c_0_9831,plain,
    ( c_HOL_Oabs(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7629,
    [final] ).

cnf(c_0_9832,plain,
    ( c_OrderedGroup_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7630,
    [final] ).

cnf(c_0_9833,plain,
    ( c_OrderedGroup_Opprt(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7631,
    [final] ).

cnf(c_0_9834,plain,
    ( c_OrderedGroup_Onprt(X1,X2) = c_0
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7632,
    [final] ).

cnf(c_0_9835,plain,
    ( c_OrderedGroup_Opprt(X1,X2) = c_0
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7633,
    [final] ).

cnf(c_0_9836,plain,
    ( c_Finite__Set_Ocard(c_emptyset,X1) = c_0
    | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
    c_0_7634,
    [final] ).

cnf(c_0_9837,plain,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_1
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ class_Power_Orecpower(X2) ),
    c_0_7635,
    [final] ).

cnf(c_0_9838,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_divide(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7636,
    [final] ).

cnf(c_0_9839,plain,
    ( X1 = X2
    | c_divide(X1,X2,X3) != c_1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7637,
    [final] ).

cnf(c_0_9840,plain,
    ( X1 = X2
    | c_divide(X2,X1,X3) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7638,
    [final] ).

cnf(c_0_9841,plain,
    ( X1 = X2
    | c_divide(X2,X1,X3) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7639,
    [final] ).

cnf(c_0_9842,plain,
    ( X1 = X2
    | c_divide(X1,X2,X3) != c_1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7640,
    [final] ).

cnf(c_0_9843,plain,
    ( X1 = c_0
    | c_Nat_Opower(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    c_0_7641,
    [final] ).

cnf(c_0_9844,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2)) ),
    c_0_7642,
    [final] ).

cnf(c_0_9845,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2)) ),
    c_0_7643,
    [final] ).

cnf(c_0_9846,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2)) ),
    c_0_7644,
    [final] ).

cnf(c_0_9847,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2)) ),
    c_0_7645,
    [final] ).

cnf(c_0_9848,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(X2) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    c_0_7646,
    [final] ).

cnf(c_0_9849,plain,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7647,
    [final] ).

cnf(c_0_9850,plain,
    ( X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3)
    | c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    c_0_7648,
    [final] ).

cnf(c_0_9851,plain,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    c_0_7649,
    [final] ).

cnf(c_0_9852,plain,
    ( X1 = c_0
    | c_divide(c_1,X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7650,
    [final] ).

cnf(c_0_9853,plain,
    ( X1 = c_0
    | c_divide(c_1,X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7651,
    [final] ).

cnf(c_0_9854,plain,
    ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7652,
    [final] ).

cnf(c_0_9855,plain,
    ( c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7653,
    [final] ).

cnf(c_0_9856,plain,
    ( c_List_Oupt(X1,X2) = c_List_Olist_ONil
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_7654,
    [final] ).

cnf(c_0_9857,plain,
    ( c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7655,
    [final] ).

cnf(c_0_9858,plain,
    ( c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7656,
    [final] ).

cnf(c_0_9859,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7657,
    [final] ).

cnf(c_0_9860,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7658,
    [final] ).

cnf(c_0_9861,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7659,
    [final] ).

cnf(c_0_9862,plain,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7660,
    [final] ).

cnf(c_0_9863,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_7661,
    [final] ).

cnf(c_0_9864,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    c_0_7662,
    [final] ).

cnf(c_0_9865,plain,
    ( X1 = X2
    | c_minus(X1,X2,X3) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_7663,
    [final] ).

cnf(c_0_9866,plain,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    c_0_7664,
    [final] ).

cnf(c_0_9867,plain,
    ( c_HOL_Oabs(c_HOL_Oinverse(X1,X2),X2) = c_HOL_Oinverse(c_HOL_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7665,
    [final] ).

cnf(c_0_9868,plain,
    ( c_HOL_Oinverse(c_uminus(X1,X2),X2) = c_uminus(c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7666,
    [final] ).

cnf(c_0_9869,plain,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7667,
    [final] ).

cnf(c_0_9870,plain,
    ( ~ c_less(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7668,
    [final] ).

cnf(c_0_9871,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    c_0_7669,
    [final] ).

cnf(c_0_9872,plain,
    ( X1 = c_0
    | ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint) ),
    c_0_7670,
    [final] ).

cnf(c_0_9873,plain,
    ( X1 = c_Suc(c_0)
    | ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat) ),
    c_0_7671,
    [final] ).

cnf(c_0_9874,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    c_0_7672,
    [final] ).

cnf(c_0_9875,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    c_0_7673,
    [final] ).

cnf(c_0_9876,plain,
    ( X1 = c_List_Olist_ONil
    | c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    c_0_7674,
    [final] ).

cnf(c_0_9877,plain,
    ( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
    | c_List_Oremdups(X1,X2) != X1 ),
    c_0_7675,
    [final] ).

cnf(c_0_9878,plain,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    c_0_7676,
    [final] ).

cnf(c_0_9879,plain,
    ( c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7677,
    [final] ).

cnf(c_0_9880,plain,
    ( c_times(X1,c_HOL_Oinverse(X1,X2),X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7678,
    [final] ).

cnf(c_0_9881,plain,
    ( X1 = c_List_Olist_ONil
    | X2 = c_0
    | c_List_Otake(X2,X1,X3) != c_List_Olist_ONil ),
    c_0_7679,
    [final] ).

cnf(c_0_9882,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    c_0_7680,
    [final] ).

cnf(c_0_9883,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != X2 ),
    c_0_7681,
    [final] ).

cnf(c_0_9884,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    c_0_7682,
    [final] ).

cnf(c_0_9885,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != X2 ),
    c_0_7683,
    [final] ).

cnf(c_0_9886,plain,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    c_0_7684,
    [final] ).

cnf(c_0_9887,plain,
    ( X1 = c_1
    | c_times(X2,X1,tc_nat) != c_Suc(c_0) ),
    c_0_7685,
    [final] ).

cnf(c_0_9888,plain,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    c_0_7686,
    [final] ).

cnf(c_0_9889,plain,
    ( X1 = c_1
    | c_times(X2,X1,tc_nat) != c_Suc(c_0) ),
    c_0_7687,
    [final] ).

cnf(c_0_9890,plain,
    ( ~ c_lessequals(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7688,
    [final] ).

cnf(c_0_9891,plain,
    ( ~ c_less(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7689,
    [final] ).

cnf(c_0_9892,plain,
    ( c_plus(c_uminus(X1,X2),X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7690,
    [final] ).

cnf(c_0_9893,plain,
    ( c_plus(X1,c_uminus(X1,X2),X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7691,
    [final] ).

cnf(c_0_9894,plain,
    ( X1 = c_0
    | c_less(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7692,
    [final] ).

cnf(c_0_9895,plain,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    c_0_7693,
    [final] ).

cnf(c_0_9896,plain,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    c_0_7694,
    [final] ).

cnf(c_0_9897,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    c_0_7695,
    [final] ).

cnf(c_0_9898,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != c_List_Olist_ONil ),
    c_0_7696,
    [final] ).

cnf(c_0_9899,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    c_0_7697,
    [final] ).

cnf(c_0_9900,plain,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != c_List_Olist_ONil ),
    c_0_7698,
    [final] ).

cnf(c_0_9901,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil ),
    c_0_7699,
    [final] ).

cnf(c_0_9902,plain,
    ( X1 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    c_0_7700,
    [final] ).

cnf(c_0_9903,plain,
    ( X1 = c_UNIV
    | c_inter(X2,X1,X3) != c_UNIV ),
    c_0_7701,
    [final] ).

cnf(c_0_9904,plain,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    c_0_7702,
    [final] ).

cnf(c_0_9905,plain,
    ( X1 = c_emptyset
    | c_union(X2,X1,X3) != c_emptyset ),
    c_0_7703,
    [final] ).

cnf(c_0_9906,plain,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    c_0_7704,
    [final] ).

cnf(c_0_9907,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_7705,
    [final] ).

cnf(c_0_9908,plain,
    ( c_in(c_NatArith_Oof__nat(X1,X2),c_IntDef_ONats,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    c_0_7706,
    [final] ).

cnf(c_0_9909,plain,
    ( c_lessequals(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7707,
    [final] ).

cnf(c_0_9910,plain,
    ( c_lessequals(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7708,
    [final] ).

cnf(c_0_9911,plain,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7709,
    [final] ).

cnf(c_0_9912,plain,
    ( c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    c_0_7710,
    [final] ).

cnf(c_0_9913,plain,
    ( c_IntDef_Onat(X1) = c_0
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    c_0_7711,
    [final] ).

cnf(c_0_9914,plain,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    c_0_7712,
    [final] ).

cnf(c_0_9915,plain,
    ( X1 = c_0
    | c_plus(X2,X1,tc_nat) != c_0 ),
    c_0_7713,
    [final] ).

cnf(c_0_9916,plain,
    ( c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X2) = c_uminus(c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    c_0_7714,
    [final] ).

cnf(c_0_9917,plain,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7715,
    [final] ).

cnf(c_0_9918,plain,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7716,
    [final] ).

cnf(c_0_9919,plain,
    ( c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7717,
    [final] ).

cnf(c_0_9920,plain,
    ( c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7718,
    [final] ).

cnf(c_0_9921,plain,
    ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7719,
    [final] ).

cnf(c_0_9922,plain,
    ( c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7720,
    [final] ).

cnf(c_0_9923,plain,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    c_0_7721,
    [final] ).

cnf(c_0_9924,plain,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    c_0_7722,
    [final] ).

cnf(c_0_9925,plain,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    c_0_7723,
    [final] ).

cnf(c_0_9926,plain,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    c_0_7724,
    [final] ).

cnf(c_0_9927,plain,
    ( X1 = c_emptyset
    | c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2) ),
    c_0_7725,
    [final] ).

cnf(c_0_9928,plain,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7726,
    [final] ).

cnf(c_0_9929,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    c_0_7727,
    [final] ).

cnf(c_0_9930,plain,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    c_0_7728,
    [final] ).

cnf(c_0_9931,plain,
    ( X1 = c_0
    | c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X2,X1) != c_List_Olist_ONil ),
    c_0_7729,
    [final] ).

cnf(c_0_9932,plain,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_OHPair(X2,X3) != c_Message_Omsg_OMPair(X1,X4) ),
    c_0_7730,
    [final] ).

cnf(c_0_9933,plain,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_Omsg_OMPair(X1,X4) != c_Message_OHPair(X2,X3) ),
    c_0_7731,
    [final] ).

cnf(c_0_9934,plain,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7732,
    [final] ).

cnf(c_0_9935,plain,
    ( c_minus(c_0,X1,X2) = c_uminus(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7733,
    [final] ).

cnf(c_0_9936,plain,
    ( c_Finite__Set_Ocard(X1,X2) = c_0
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    c_0_7734,
    [final] ).

cnf(c_0_9937,plain,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil
    | c_lessequals(X1,X2,tc_nat) ),
    c_0_7735,
    [final] ).

cnf(c_0_9938,plain,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7736,
    [final] ).

cnf(c_0_9939,plain,
    ( c_divide(X1,X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7737,
    [final] ).

cnf(c_0_9940,plain,
    ( c_divide(X1,X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7738,
    [final] ).

cnf(c_0_9941,plain,
    ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    c_0_7739,
    [final] ).

cnf(c_0_9942,plain,
    ( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    c_0_7740,
    [final] ).

cnf(c_0_9943,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7741,
    [final] ).

cnf(c_0_9944,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7742,
    [final] ).

cnf(c_0_9945,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7743,
    [final] ).

cnf(c_0_9946,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7744,
    [final] ).

cnf(c_0_9947,plain,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    c_0_7745,
    [final] ).

cnf(c_0_9948,plain,
    ( c_divide(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7746,
    [final] ).

cnf(c_0_9949,plain,
    ( c_divide(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7747,
    [final] ).

cnf(c_0_9950,plain,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    c_0_7748,
    [final] ).

cnf(c_0_9951,plain,
    ( c_uminus(c_SetInterval_OatLeast(X1,X2),tc_set(X2)) = c_SetInterval_OlessThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7749,
    [final] ).

cnf(c_0_9952,plain,
    ( c_uminus(c_SetInterval_OatMost(X1,X2),tc_set(X2)) = c_SetInterval_OgreaterThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7750,
    [final] ).

cnf(c_0_9953,plain,
    ( c_uminus(c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) = c_SetInterval_OatMost(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7751,
    [final] ).

cnf(c_0_9954,plain,
    ( c_uminus(c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_SetInterval_OatLeast(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7752,
    [final] ).

cnf(c_0_9955,plain,
    ( c_Nat_Opower(c_0,c_Suc(X1),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    c_0_7753,
    [final] ).

cnf(c_0_9956,plain,
    ( c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_7754,
    [final] ).

cnf(c_0_9957,plain,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_7755,
    [final] ).

cnf(c_0_9958,plain,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_7756,
    [final] ).

cnf(c_0_9959,plain,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7757,
    [final] ).

cnf(c_0_9960,plain,
    ( X1 = X2
    | c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
    c_0_7758,
    [final] ).

cnf(c_0_9961,plain,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    c_0_7759,
    [final] ).

cnf(c_0_9962,plain,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    c_0_7760,
    [final] ).

cnf(c_0_9963,plain,
    ( c_LOrder_Ojoin(X1,X1,X2) = X1
    | ~ class_LOrder_Ojoin__semilorder(X2) ),
    c_0_7761,
    [final] ).

cnf(c_0_9964,plain,
    ( c_LOrder_Omeet(X1,X1,X2) = X1
    | ~ class_LOrder_Omeet__semilorder(X2) ),
    c_0_7762,
    [final] ).

cnf(c_0_9965,plain,
    ( c_Orderings_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7763,
    [final] ).

cnf(c_0_9966,plain,
    ( c_Orderings_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_7764,
    [final] ).

cnf(c_0_9967,plain,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0
    | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    c_0_7765,
    [final] ).

cnf(c_0_9968,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_7766,
    [final] ).

cnf(c_0_9969,plain,
    ( c_minus(X1,X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7767,
    [final] ).

cnf(c_0_9970,plain,
    ( c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7768,
    [final] ).

cnf(c_0_9971,plain,
    ( c_HOL_Oabs(c_uminus(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7769,
    [final] ).

cnf(c_0_9972,plain,
    ( c_plus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    c_0_7770,
    [final] ).

cnf(c_0_9973,plain,
    ( c_plus(c_0,X1,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    c_0_7771,
    [final] ).

cnf(c_0_9974,plain,
    ( c_minus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7772,
    [final] ).

cnf(c_0_9975,plain,
    ( c_times(c_1,X1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    c_0_7773,
    [final] ).

cnf(c_0_9976,plain,
    ( c_times(X1,c_1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    c_0_7774,
    [final] ).

cnf(c_0_9977,plain,
    ( c_Nat_Opower(X1,c_1,X2) = X1
    | ~ class_Power_Orecpower(X2) ),
    c_0_7775,
    [final] ).

cnf(c_0_9978,plain,
    ( c_divide(X1,c_1,X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_7776,
    [final] ).

cnf(c_0_9979,plain,
    ( c_times(X1,c_1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7777,
    [final] ).

cnf(c_0_9980,plain,
    ( c_times(c_1,X1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7778,
    [final] ).

cnf(c_0_9981,plain,
    ( X1 = X2
    | c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_7779,
    [final] ).

cnf(c_0_9982,plain,
    ( c_Nat_Opower(c_1,X1,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    c_0_7780,
    [final] ).

cnf(c_0_9983,plain,
    ( c_Nat_Opower(X1,c_0,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    c_0_7781,
    [final] ).

cnf(c_0_9984,plain,
    ( c_times(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7782,
    [final] ).

cnf(c_0_9985,plain,
    ( c_times(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7783,
    [final] ).

cnf(c_0_9986,plain,
    ( c_times(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    c_0_7784,
    [final] ).

cnf(c_0_9987,plain,
    ( c_times(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    c_0_7785,
    [final] ).

cnf(c_0_9988,plain,
    ( c_in(c_0,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_7786,
    [final] ).

cnf(c_0_9989,plain,
    ( c_in(c_1,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_7787,
    [final] ).

cnf(c_0_9990,plain,
    ( c_in(c_0,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_7788,
    [final] ).

cnf(c_0_9991,plain,
    ( c_in(c_1,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_7789,
    [final] ).

cnf(c_0_9992,plain,
    ( c_less(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7790,
    [final] ).

cnf(c_0_9993,plain,
    ( c_lessequals(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7791,
    [final] ).

cnf(c_0_9994,plain,
    ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    c_0_7792,
    [final] ).

cnf(c_0_9995,plain,
    ( c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    c_0_7793,
    [final] ).

cnf(c_0_9996,plain,
    ( c_HOL_Oinverse(c_HOL_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7794,
    [final] ).

cnf(c_0_9997,plain,
    ( c_div(X1,X1,tc_IntDef_Oint) = c_1
    | X1 = c_0 ),
    c_0_7795,
    [final] ).

cnf(c_0_9998,plain,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    c_0_7796,
    [final] ).

cnf(c_0_9999,plain,
    ( X1 = X2
    | c_IntDef_Oof__int(X1,X3) != c_IntDef_Oof__int(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_7797,
    [final] ).

cnf(c_0_10000,plain,
    ( X1 = X2
    | c_NatArith_Oof__nat(X1,X3) != c_NatArith_Oof__nat(X2,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_7798,
    [final] ).

cnf(c_0_10001,plain,
    ( X1 = X2
    | c_uminus(X1,X3) != c_uminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_7799,
    [final] ).

cnf(c_0_10002,plain,
    ( X1 = X2
    | c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7800,
    [final] ).

cnf(c_0_10003,plain,
    ( X1 = X2
    | c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7801,
    [final] ).

cnf(c_0_10004,plain,
    ( X1 = X2
    | c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7802,
    [final] ).

cnf(c_0_10005,plain,
    ( X1 = X2
    | c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_7803,
    [final] ).

cnf(c_0_10006,plain,
    ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7804,
    [final] ).

cnf(c_0_10007,plain,
    ( X1 = c_0
    | c_less(c_0,X1,tc_nat) ),
    c_0_7805,
    [final] ).

cnf(c_0_10008,plain,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7806,
    [final] ).

cnf(c_0_10009,plain,
    ( c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    c_0_7807,
    [final] ).

cnf(c_0_10010,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7808,
    [final] ).

cnf(c_0_10011,plain,
    ( X1 = c_uminus(c_1,X2)
    | c_uminus(X1,X2) != c_1
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    c_0_7809,
    [final] ).

cnf(c_0_10012,plain,
    ( ~ c_Parity_Oeven(c_Suc(X1),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    c_0_7810,
    [final] ).

cnf(c_0_10013,plain,
    ( c_uminus(c_uminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7811,
    [final] ).

cnf(c_0_10014,plain,
    ( X1 = X2
    | c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
    c_0_7812,
    [final] ).

cnf(c_0_10015,plain,
    ( X1 = X2
    | c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
    c_0_7813,
    [final] ).

cnf(c_0_10016,plain,
    ( X1 = X2
    | c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
    c_0_7814,
    [final] ).

cnf(c_0_10017,plain,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    c_0_7815,
    [final] ).

cnf(c_0_10018,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    c_0_7816,
    [final] ).

cnf(c_0_10019,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    c_0_7817,
    [final] ).

cnf(c_0_10020,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    c_0_7818,
    [final] ).

cnf(c_0_10021,plain,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    c_0_7819,
    [final] ).

cnf(c_0_10022,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    c_0_7820,
    [final] ).

cnf(c_0_10023,plain,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    c_0_7821,
    [final] ).

cnf(c_0_10024,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    c_0_7822,
    [final] ).

cnf(c_0_10025,plain,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    c_0_7823,
    [final] ).

cnf(c_0_10026,plain,
    ( X1 = X2
    | c_Message_OHPair(X1,X3) != c_Message_OHPair(X2,X4) ),
    c_0_7824,
    [final] ).

cnf(c_0_10027,plain,
    ( X1 = X2
    | c_Message_OHPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    c_0_7825,
    [final] ).

cnf(c_0_10028,plain,
    ( X1 = X2
    | c_Message_OHPair(X3,X2) != c_Message_Omsg_OMPair(X4,X1) ),
    c_0_7826,
    [final] ).

cnf(c_0_10029,plain,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    c_0_7827,
    [final] ).

cnf(c_0_10030,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    c_0_7828,
    [final] ).

cnf(c_0_10031,plain,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    c_0_7829,
    [final] ).

cnf(c_0_10032,plain,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    c_0_7830,
    [final] ).

cnf(c_0_10033,plain,
    ( class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    c_0_7831,
    [final] ).

cnf(c_0_10034,plain,
    ( class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    c_0_7832,
    [final] ).

cnf(c_0_10035,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7833,
    [final] ).

cnf(c_0_10036,plain,
    ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2) = X1
    | X1 = c_Datatype_Ooption_ONone ),
    c_0_7834,
    [final] ).

cnf(c_0_10037,plain,
    ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2) = X1
    | X1 = c_Datatype_Ooption_ONone ),
    c_0_7835,
    [final] ).

cnf(c_0_10038,plain,
    ( c_IntDef_Oof__int(c_IntDef_Oint(X1),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    c_0_7836,
    [final] ).

cnf(c_0_10039,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7837,
    [final] ).

cnf(c_0_10040,plain,
    ( X1 = c_1
    | c_HOL_Oinverse(X1,X2) != c_1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7838,
    [final] ).

cnf(c_0_10041,plain,
    ( X1 = c_0
    | c_HOL_Oinverse(X1,X2) != c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_7839,
    [final] ).

cnf(c_0_10042,plain,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    c_0_7840,
    [final] ).

cnf(c_0_10043,plain,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
    c_0_7841,
    [final] ).

cnf(c_0_10044,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil ),
    c_0_7842,
    [final] ).

cnf(c_0_10045,plain,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil ),
    c_0_7843,
    [final] ).

cnf(c_0_10046,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV ),
    c_0_7844,
    [final] ).

cnf(c_0_10047,plain,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV ),
    c_0_7845,
    [final] ).

cnf(c_0_10048,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset ),
    c_0_7846,
    [final] ).

cnf(c_0_10049,plain,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset ),
    c_0_7847,
    [final] ).

cnf(c_0_10050,plain,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    c_0_7848,
    [final] ).

cnf(c_0_10051,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OMin,X1) = c_uminus(c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7849,
    [final] ).

cnf(c_0_10052,plain,
    ( c_Parity_Oeven(c_Suc(X1),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    c_0_7850,
    [final] ).

cnf(c_0_10053,plain,
    ( c_0 = X1
    | c_IntDef_Oof__int(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7851,
    [final] ).

cnf(c_0_10054,plain,
    ( X1 = c_0
    | c_IntDef_Oof__int(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_7852,
    [final] ).

cnf(c_0_10055,plain,
    ( c_0 = X1
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7853,
    [final] ).

cnf(c_0_10056,plain,
    ( X1 = c_0
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_7854,
    [final] ).

cnf(c_0_10057,plain,
    ( X1 = c_0
    | c_HOL_Oabs(X1,X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7855,
    [final] ).

cnf(c_0_10058,plain,
    ( X1 = c_0
    | c_HOL_Oabs(X1,X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    c_0_7856,
    [final] ).

cnf(c_0_10059,plain,
    ( c_0 = X1
    | c_uminus(X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7857,
    [final] ).

cnf(c_0_10060,plain,
    ( X1 = c_0
    | c_uminus(X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_7858,
    [final] ).

cnf(c_0_10061,plain,
    ( ~ c_IntDef_Oiszero(c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_7859,
    [final] ).

cnf(c_0_10062,plain,
    ( ~ c_IntDef_Oneg(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_7860,
    [final] ).

cnf(c_0_10063,plain,
    ( ~ c_IntDef_Oneg(c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_7861,
    [final] ).

cnf(c_0_10064,plain,
    ( c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_7862,
    [final] ).

cnf(c_0_10065,plain,
    ( c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_7863,
    [final] ).

cnf(c_0_10066,plain,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Oo2s(X1,X2) != c_emptyset ),
    c_0_7864,
    [final] ).

cnf(c_0_10067,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    c_0_7865,
    [final] ).

cnf(c_0_10068,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    c_0_7866,
    [final] ).

cnf(c_0_10069,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    c_0_7867,
    [final] ).

cnf(c_0_10070,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    c_0_7868,
    [final] ).

cnf(c_0_10071,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil ),
    c_0_7869,
    [final] ).

cnf(c_0_10072,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    c_0_7870,
    [final] ).

cnf(c_0_10073,plain,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    c_0_7871,
    [final] ).

cnf(c_0_10074,plain,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_7872,
    [final] ).

cnf(c_0_10075,plain,
    ( c_IntDef_Oof__int(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_7873,
    [final] ).

cnf(c_0_10076,plain,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_7874,
    [final] ).

cnf(c_0_10077,plain,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7875,
    [final] ).

cnf(c_0_10078,plain,
    ( c_NatArith_Oof__nat(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_7876,
    [final] ).

cnf(c_0_10079,plain,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_7877,
    [final] ).

cnf(c_0_10080,plain,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7878,
    [final] ).

cnf(c_0_10081,plain,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7879,
    [final] ).

cnf(c_0_10082,plain,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7880,
    [final] ).

cnf(c_0_10083,plain,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7881,
    [final] ).

cnf(c_0_10084,plain,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7882,
    [final] ).

cnf(c_0_10085,plain,
    ( c_OrderedGroup_Onprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7883,
    [final] ).

cnf(c_0_10086,plain,
    ( c_OrderedGroup_Opprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7884,
    [final] ).

cnf(c_0_10087,plain,
    ( c_HOL_Oabs(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_7885,
    [final] ).

cnf(c_0_10088,plain,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    c_0_7886,
    [final] ).

cnf(c_0_10089,plain,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    c_0_7887,
    [final] ).

cnf(c_0_10090,plain,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    c_0_7888,
    [final] ).

cnf(c_0_10091,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_7889,
    [final] ).

cnf(c_0_10092,plain,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    c_0_7890,
    [final] ).

cnf(c_0_10093,plain,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    c_0_7891,
    [final] ).

cnf(c_0_10094,plain,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    c_0_7892,
    [final] ).

cnf(c_0_10095,plain,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    c_0_7893,
    [final] ).

cnf(c_0_10096,plain,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    c_0_7894,
    [final] ).

cnf(c_0_10097,plain,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    c_0_7895,
    [final] ).

cnf(c_0_10098,plain,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    c_0_7896,
    [final] ).

cnf(c_0_10099,plain,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    c_0_7897,
    [final] ).

cnf(c_0_10100,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    c_0_7898,
    [final] ).

cnf(c_0_10101,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    c_0_7899,
    [final] ).

cnf(c_0_10102,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    c_0_7900,
    [final] ).

cnf(c_0_10103,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    c_0_7901,
    [final] ).

cnf(c_0_10104,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    c_0_7902,
    [final] ).

cnf(c_0_10105,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    c_0_7903,
    [final] ).

cnf(c_0_10106,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    c_0_7904,
    [final] ).

cnf(c_0_10107,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    c_0_7905,
    [final] ).

cnf(c_0_10108,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7906,
    [final] ).

cnf(c_0_10109,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7907,
    [final] ).

cnf(c_0_10110,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7908,
    [final] ).

cnf(c_0_10111,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7909,
    [final] ).

cnf(c_0_10112,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7910,
    [final] ).

cnf(c_0_10113,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7911,
    [final] ).

cnf(c_0_10114,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7912,
    [final] ).

cnf(c_0_10115,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7913,
    [final] ).

cnf(c_0_10116,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7914,
    [final] ).

cnf(c_0_10117,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7915,
    [final] ).

cnf(c_0_10118,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7916,
    [final] ).

cnf(c_0_10119,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7917,
    [final] ).

cnf(c_0_10120,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7918,
    [final] ).

cnf(c_0_10121,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7919,
    [final] ).

cnf(c_0_10122,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7920,
    [final] ).

cnf(c_0_10123,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7921,
    [final] ).

cnf(c_0_10124,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7922,
    [final] ).

cnf(c_0_10125,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7923,
    [final] ).

cnf(c_0_10126,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7924,
    [final] ).

cnf(c_0_10127,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7925,
    [final] ).

cnf(c_0_10128,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7926,
    [final] ).

cnf(c_0_10129,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7927,
    [final] ).

cnf(c_0_10130,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7928,
    [final] ).

cnf(c_0_10131,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7929,
    [final] ).

cnf(c_0_10132,plain,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7930,
    [final] ).

cnf(c_0_10133,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7931,
    [final] ).

cnf(c_0_10134,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7932,
    [final] ).

cnf(c_0_10135,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7933,
    [final] ).

cnf(c_0_10136,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7934,
    [final] ).

cnf(c_0_10137,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7935,
    [final] ).

cnf(c_0_10138,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    c_0_7936,
    [final] ).

cnf(c_0_10139,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7937,
    [final] ).

cnf(c_0_10140,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7938,
    [final] ).

cnf(c_0_10141,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7939,
    [final] ).

cnf(c_0_10142,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7940,
    [final] ).

cnf(c_0_10143,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7941,
    [final] ).

cnf(c_0_10144,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7942,
    [final] ).

cnf(c_0_10145,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7943,
    [final] ).

cnf(c_0_10146,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_7944,
    [final] ).

cnf(c_0_10147,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    c_0_7945,
    [final] ).

cnf(c_0_10148,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    c_0_7946,
    [final] ).

cnf(c_0_10149,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    c_0_7947,
    [final] ).

cnf(c_0_10150,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    c_0_7948,
    [final] ).

cnf(c_0_10151,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    c_0_7949,
    [final] ).

cnf(c_0_10152,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    c_0_7950,
    [final] ).

cnf(c_0_10153,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    c_0_7951,
    [final] ).

cnf(c_0_10154,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    c_0_7952,
    [final] ).

cnf(c_0_10155,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    c_0_7953,
    [final] ).

cnf(c_0_10156,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    c_0_7954,
    [final] ).

cnf(c_0_10157,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_7955,
    [final] ).

cnf(c_0_10158,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_7956,
    [final] ).

cnf(c_0_10159,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_7957,
    [final] ).

cnf(c_0_10160,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_7958,
    [final] ).

cnf(c_0_10161,plain,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_7959,
    [final] ).

cnf(c_0_10162,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_7960,
    [final] ).

cnf(c_0_10163,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_7961,
    [final] ).

cnf(c_0_10164,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_7962,
    [final] ).

cnf(c_0_10165,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_7963,
    [final] ).

cnf(c_0_10166,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7964,
    [final] ).

cnf(c_0_10167,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7965,
    [final] ).

cnf(c_0_10168,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7966,
    [final] ).

cnf(c_0_10169,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7967,
    [final] ).

cnf(c_0_10170,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7968,
    [final] ).

cnf(c_0_10171,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7969,
    [final] ).

cnf(c_0_10172,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7970,
    [final] ).

cnf(c_0_10173,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7971,
    [final] ).

cnf(c_0_10174,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7972,
    [final] ).

cnf(c_0_10175,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7973,
    [final] ).

cnf(c_0_10176,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7974,
    [final] ).

cnf(c_0_10177,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7975,
    [final] ).

cnf(c_0_10178,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7976,
    [final] ).

cnf(c_0_10179,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7977,
    [final] ).

cnf(c_0_10180,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7978,
    [final] ).

cnf(c_0_10181,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7979,
    [final] ).

cnf(c_0_10182,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7980,
    [final] ).

cnf(c_0_10183,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    c_0_7981,
    [final] ).

cnf(c_0_10184,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7982,
    [final] ).

cnf(c_0_10185,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7983,
    [final] ).

cnf(c_0_10186,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7984,
    [final] ).

cnf(c_0_10187,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7985,
    [final] ).

cnf(c_0_10188,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7986,
    [final] ).

cnf(c_0_10189,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7987,
    [final] ).

cnf(c_0_10190,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7988,
    [final] ).

cnf(c_0_10191,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7989,
    [final] ).

cnf(c_0_10192,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7990,
    [final] ).

cnf(c_0_10193,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7991,
    [final] ).

cnf(c_0_10194,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7992,
    [final] ).

cnf(c_0_10195,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7993,
    [final] ).

cnf(c_0_10196,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7994,
    [final] ).

cnf(c_0_10197,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7995,
    [final] ).

cnf(c_0_10198,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7996,
    [final] ).

cnf(c_0_10199,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7997,
    [final] ).

cnf(c_0_10200,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7998,
    [final] ).

cnf(c_0_10201,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_7999,
    [final] ).

cnf(c_0_10202,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    c_0_8000,
    [final] ).

cnf(c_0_10203,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8001,
    [final] ).

cnf(c_0_10204,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8002,
    [final] ).

cnf(c_0_10205,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8003,
    [final] ).

cnf(c_0_10206,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8004,
    [final] ).

cnf(c_0_10207,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8005,
    [final] ).

cnf(c_0_10208,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8006,
    [final] ).

cnf(c_0_10209,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8007,
    [final] ).

cnf(c_0_10210,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8008,
    [final] ).

cnf(c_0_10211,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8009,
    [final] ).

cnf(c_0_10212,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8010,
    [final] ).

cnf(c_0_10213,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8011,
    [final] ).

cnf(c_0_10214,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8012,
    [final] ).

cnf(c_0_10215,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8013,
    [final] ).

cnf(c_0_10216,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8014,
    [final] ).

cnf(c_0_10217,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8015,
    [final] ).

cnf(c_0_10218,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8016,
    [final] ).

cnf(c_0_10219,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8017,
    [final] ).

cnf(c_0_10220,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8018,
    [final] ).

cnf(c_0_10221,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    c_0_8019,
    [final] ).

cnf(c_0_10222,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8020,
    [final] ).

cnf(c_0_10223,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8021,
    [final] ).

cnf(c_0_10224,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8022,
    [final] ).

cnf(c_0_10225,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8023,
    [final] ).

cnf(c_0_10226,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8024,
    [final] ).

cnf(c_0_10227,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8025,
    [final] ).

cnf(c_0_10228,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8026,
    [final] ).

cnf(c_0_10229,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8027,
    [final] ).

cnf(c_0_10230,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8028,
    [final] ).

cnf(c_0_10231,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8029,
    [final] ).

cnf(c_0_10232,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8030,
    [final] ).

cnf(c_0_10233,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8031,
    [final] ).

cnf(c_0_10234,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8032,
    [final] ).

cnf(c_0_10235,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8033,
    [final] ).

cnf(c_0_10236,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8034,
    [final] ).

cnf(c_0_10237,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8035,
    [final] ).

cnf(c_0_10238,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8036,
    [final] ).

cnf(c_0_10239,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8037,
    [final] ).

cnf(c_0_10240,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    c_0_8038,
    [final] ).

cnf(c_0_10241,plain,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_8039,
    [final] ).

cnf(c_0_10242,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_8040,
    [final] ).

cnf(c_0_10243,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_8041,
    [final] ).

cnf(c_0_10244,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8042,
    [final] ).

cnf(c_0_10245,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8043,
    [final] ).

cnf(c_0_10246,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8044,
    [final] ).

cnf(c_0_10247,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8045,
    [final] ).

cnf(c_0_10248,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8046,
    [final] ).

cnf(c_0_10249,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8047,
    [final] ).

cnf(c_0_10250,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8048,
    [final] ).

cnf(c_0_10251,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8049,
    [final] ).

cnf(c_0_10252,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8050,
    [final] ).

cnf(c_0_10253,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8051,
    [final] ).

cnf(c_0_10254,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8052,
    [final] ).

cnf(c_0_10255,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8053,
    [final] ).

cnf(c_0_10256,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8054,
    [final] ).

cnf(c_0_10257,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    c_0_8055,
    [final] ).

cnf(c_0_10258,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8056,
    [final] ).

cnf(c_0_10259,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8057,
    [final] ).

cnf(c_0_10260,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8058,
    [final] ).

cnf(c_0_10261,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8059,
    [final] ).

cnf(c_0_10262,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8060,
    [final] ).

cnf(c_0_10263,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8061,
    [final] ).

cnf(c_0_10264,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8062,
    [final] ).

cnf(c_0_10265,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8063,
    [final] ).

cnf(c_0_10266,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8064,
    [final] ).

cnf(c_0_10267,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8065,
    [final] ).

cnf(c_0_10268,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8066,
    [final] ).

cnf(c_0_10269,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8067,
    [final] ).

cnf(c_0_10270,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8068,
    [final] ).

cnf(c_0_10271,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_8069,
    [final] ).

cnf(c_0_10272,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    c_0_8070,
    [final] ).

cnf(c_0_10273,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    c_0_8071,
    [final] ).

cnf(c_0_10274,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    c_0_8072,
    [final] ).

cnf(c_0_10275,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    c_0_8073,
    [final] ).

cnf(c_0_10276,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    c_0_8074,
    [final] ).

cnf(c_0_10277,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8075,
    [final] ).

cnf(c_0_10278,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8076,
    [final] ).

cnf(c_0_10279,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8077,
    [final] ).

cnf(c_0_10280,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8078,
    [final] ).

cnf(c_0_10281,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8079,
    [final] ).

cnf(c_0_10282,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8080,
    [final] ).

cnf(c_0_10283,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8081,
    [final] ).

cnf(c_0_10284,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8082,
    [final] ).

cnf(c_0_10285,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_8083,
    [final] ).

cnf(c_0_10286,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8084,
    [final] ).

cnf(c_0_10287,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8085,
    [final] ).

cnf(c_0_10288,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8086,
    [final] ).

cnf(c_0_10289,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8087,
    [final] ).

cnf(c_0_10290,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8088,
    [final] ).

cnf(c_0_10291,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8089,
    [final] ).

cnf(c_0_10292,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8090,
    [final] ).

cnf(c_0_10293,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    c_0_8091,
    [final] ).

cnf(c_0_10294,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    c_0_8092,
    [final] ).

cnf(c_0_10295,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    c_0_8093,
    [final] ).

cnf(c_0_10296,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_8094,
    [final] ).

cnf(c_0_10297,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_8095,
    [final] ).

cnf(c_0_10298,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_8096,
    [final] ).

cnf(c_0_10299,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_8097,
    [final] ).

cnf(c_0_10300,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_8098,
    [final] ).

cnf(c_0_10301,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_8099,
    [final] ).

cnf(c_0_10302,plain,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8100,
    [final] ).

cnf(c_0_10303,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8101,
    [final] ).

cnf(c_0_10304,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8102,
    [final] ).

cnf(c_0_10305,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8103,
    [final] ).

cnf(c_0_10306,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8104,
    [final] ).

cnf(c_0_10307,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8105,
    [final] ).

cnf(c_0_10308,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8106,
    [final] ).

cnf(c_0_10309,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8107,
    [final] ).

cnf(c_0_10310,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8108,
    [final] ).

cnf(c_0_10311,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8109,
    [final] ).

cnf(c_0_10312,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8110,
    [final] ).

cnf(c_0_10313,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8111,
    [final] ).

cnf(c_0_10314,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8112,
    [final] ).

cnf(c_0_10315,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8113,
    [final] ).

cnf(c_0_10316,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8114,
    [final] ).

cnf(c_0_10317,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8115,
    [final] ).

cnf(c_0_10318,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8116,
    [final] ).

cnf(c_0_10319,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8117,
    [final] ).

cnf(c_0_10320,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8118,
    [final] ).

cnf(c_0_10321,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8119,
    [final] ).

cnf(c_0_10322,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8120,
    [final] ).

cnf(c_0_10323,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8121,
    [final] ).

cnf(c_0_10324,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8122,
    [final] ).

cnf(c_0_10325,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8123,
    [final] ).

cnf(c_0_10326,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    c_0_8124,
    [final] ).

cnf(c_0_10327,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    c_0_8125,
    [final] ).

cnf(c_0_10328,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    c_0_8126,
    [final] ).

cnf(c_0_10329,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    c_0_8127,
    [final] ).

cnf(c_0_10330,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    c_0_8128,
    [final] ).

cnf(c_0_10331,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    c_0_8129,
    [final] ).

cnf(c_0_10332,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    c_0_8130,
    [final] ).

cnf(c_0_10333,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    c_0_8131,
    [final] ).

cnf(c_0_10334,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8132,
    [final] ).

cnf(c_0_10335,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8133,
    [final] ).

cnf(c_0_10336,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8134,
    [final] ).

cnf(c_0_10337,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8135,
    [final] ).

cnf(c_0_10338,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8136,
    [final] ).

cnf(c_0_10339,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8137,
    [final] ).

cnf(c_0_10340,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8138,
    [final] ).

cnf(c_0_10341,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8139,
    [final] ).

cnf(c_0_10342,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8140,
    [final] ).

cnf(c_0_10343,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8141,
    [final] ).

cnf(c_0_10344,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8142,
    [final] ).

cnf(c_0_10345,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8143,
    [final] ).

cnf(c_0_10346,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8144,
    [final] ).

cnf(c_0_10347,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8145,
    [final] ).

cnf(c_0_10348,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8146,
    [final] ).

cnf(c_0_10349,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8147,
    [final] ).

cnf(c_0_10350,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8148,
    [final] ).

cnf(c_0_10351,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8149,
    [final] ).

cnf(c_0_10352,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_8150,
    [final] ).

cnf(c_0_10353,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8151,
    [final] ).

cnf(c_0_10354,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8152,
    [final] ).

cnf(c_0_10355,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8153,
    [final] ).

cnf(c_0_10356,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8154,
    [final] ).

cnf(c_0_10357,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8155,
    [final] ).

cnf(c_0_10358,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8156,
    [final] ).

cnf(c_0_10359,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8157,
    [final] ).

cnf(c_0_10360,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8158,
    [final] ).

cnf(c_0_10361,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8159,
    [final] ).

cnf(c_0_10362,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8160,
    [final] ).

cnf(c_0_10363,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8161,
    [final] ).

cnf(c_0_10364,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8162,
    [final] ).

cnf(c_0_10365,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8163,
    [final] ).

cnf(c_0_10366,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8164,
    [final] ).

cnf(c_0_10367,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8165,
    [final] ).

cnf(c_0_10368,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8166,
    [final] ).

cnf(c_0_10369,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8167,
    [final] ).

cnf(c_0_10370,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8168,
    [final] ).

cnf(c_0_10371,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8169,
    [final] ).

cnf(c_0_10372,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8170,
    [final] ).

cnf(c_0_10373,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8171,
    [final] ).

cnf(c_0_10374,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8172,
    [final] ).

cnf(c_0_10375,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8173,
    [final] ).

cnf(c_0_10376,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8174,
    [final] ).

cnf(c_0_10377,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8175,
    [final] ).

cnf(c_0_10378,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8176,
    [final] ).

cnf(c_0_10379,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8177,
    [final] ).

cnf(c_0_10380,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8178,
    [final] ).

cnf(c_0_10381,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_8179,
    [final] ).

cnf(c_0_10382,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8180,
    [final] ).

cnf(c_0_10383,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8181,
    [final] ).

cnf(c_0_10384,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8182,
    [final] ).

cnf(c_0_10385,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8183,
    [final] ).

cnf(c_0_10386,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8184,
    [final] ).

cnf(c_0_10387,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8185,
    [final] ).

cnf(c_0_10388,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_8186,
    [final] ).

cnf(c_0_10389,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8187,
    [final] ).

cnf(c_0_10390,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8188,
    [final] ).

cnf(c_0_10391,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8189,
    [final] ).

cnf(c_0_10392,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8190,
    [final] ).

cnf(c_0_10393,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8191,
    [final] ).

cnf(c_0_10394,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8192,
    [final] ).

cnf(c_0_10395,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8193,
    [final] ).

cnf(c_0_10396,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8194,
    [final] ).

cnf(c_0_10397,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8195,
    [final] ).

cnf(c_0_10398,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8196,
    [final] ).

cnf(c_0_10399,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_8197,
    [final] ).

cnf(c_0_10400,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8198,
    [final] ).

cnf(c_0_10401,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8199,
    [final] ).

cnf(c_0_10402,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8200,
    [final] ).

cnf(c_0_10403,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8201,
    [final] ).

cnf(c_0_10404,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8202,
    [final] ).

cnf(c_0_10405,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8203,
    [final] ).

cnf(c_0_10406,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8204,
    [final] ).

cnf(c_0_10407,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8205,
    [final] ).

cnf(c_0_10408,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8206,
    [final] ).

cnf(c_0_10409,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8207,
    [final] ).

cnf(c_0_10410,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8208,
    [final] ).

cnf(c_0_10411,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8209,
    [final] ).

cnf(c_0_10412,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8210,
    [final] ).

cnf(c_0_10413,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8211,
    [final] ).

cnf(c_0_10414,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    c_0_8212,
    [final] ).

cnf(c_0_10415,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8213,
    [final] ).

cnf(c_0_10416,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8214,
    [final] ).

cnf(c_0_10417,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8215,
    [final] ).

cnf(c_0_10418,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8216,
    [final] ).

cnf(c_0_10419,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8217,
    [final] ).

cnf(c_0_10420,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8218,
    [final] ).

cnf(c_0_10421,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8219,
    [final] ).

cnf(c_0_10422,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8220,
    [final] ).

cnf(c_0_10423,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8221,
    [final] ).

cnf(c_0_10424,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8222,
    [final] ).

cnf(c_0_10425,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8223,
    [final] ).

cnf(c_0_10426,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8224,
    [final] ).

cnf(c_0_10427,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8225,
    [final] ).

cnf(c_0_10428,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8226,
    [final] ).

cnf(c_0_10429,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8227,
    [final] ).

cnf(c_0_10430,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8228,
    [final] ).

cnf(c_0_10431,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_8229,
    [final] ).

cnf(c_0_10432,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8230,
    [final] ).

cnf(c_0_10433,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8231,
    [final] ).

cnf(c_0_10434,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8232,
    [final] ).

cnf(c_0_10435,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8233,
    [final] ).

cnf(c_0_10436,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8234,
    [final] ).

cnf(c_0_10437,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8235,
    [final] ).

cnf(c_0_10438,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8236,
    [final] ).

cnf(c_0_10439,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8237,
    [final] ).

cnf(c_0_10440,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8238,
    [final] ).

cnf(c_0_10441,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8239,
    [final] ).

cnf(c_0_10442,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8240,
    [final] ).

cnf(c_0_10443,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8241,
    [final] ).

cnf(c_0_10444,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8242,
    [final] ).

cnf(c_0_10445,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8243,
    [final] ).

cnf(c_0_10446,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8244,
    [final] ).

cnf(c_0_10447,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8245,
    [final] ).

cnf(c_0_10448,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8246,
    [final] ).

cnf(c_0_10449,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8247,
    [final] ).

cnf(c_0_10450,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8248,
    [final] ).

cnf(c_0_10451,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8249,
    [final] ).

cnf(c_0_10452,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8250,
    [final] ).

cnf(c_0_10453,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8251,
    [final] ).

cnf(c_0_10454,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    c_0_8252,
    [final] ).

cnf(c_0_10455,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_8253,
    [final] ).

cnf(c_0_10456,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_8254,
    [final] ).

cnf(c_0_10457,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8255,
    [final] ).

cnf(c_0_10458,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8256,
    [final] ).

cnf(c_0_10459,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8257,
    [final] ).

cnf(c_0_10460,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8258,
    [final] ).

cnf(c_0_10461,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8259,
    [final] ).

cnf(c_0_10462,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8260,
    [final] ).

cnf(c_0_10463,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8261,
    [final] ).

cnf(c_0_10464,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8262,
    [final] ).

cnf(c_0_10465,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8263,
    [final] ).

cnf(c_0_10466,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8264,
    [final] ).

cnf(c_0_10467,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8265,
    [final] ).

cnf(c_0_10468,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8266,
    [final] ).

cnf(c_0_10469,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8267,
    [final] ).

cnf(c_0_10470,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8268,
    [final] ).

cnf(c_0_10471,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8269,
    [final] ).

cnf(c_0_10472,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8270,
    [final] ).

cnf(c_0_10473,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8271,
    [final] ).

cnf(c_0_10474,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8272,
    [final] ).

cnf(c_0_10475,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8273,
    [final] ).

cnf(c_0_10476,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8274,
    [final] ).

cnf(c_0_10477,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8275,
    [final] ).

cnf(c_0_10478,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8276,
    [final] ).

cnf(c_0_10479,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8277,
    [final] ).

cnf(c_0_10480,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8278,
    [final] ).

cnf(c_0_10481,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8279,
    [final] ).

cnf(c_0_10482,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8280,
    [final] ).

cnf(c_0_10483,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8281,
    [final] ).

cnf(c_0_10484,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8282,
    [final] ).

cnf(c_0_10485,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8283,
    [final] ).

cnf(c_0_10486,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8284,
    [final] ).

cnf(c_0_10487,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8285,
    [final] ).

cnf(c_0_10488,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8286,
    [final] ).

cnf(c_0_10489,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_8287,
    [final] ).

cnf(c_0_10490,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8288,
    [final] ).

cnf(c_0_10491,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8289,
    [final] ).

cnf(c_0_10492,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8290,
    [final] ).

cnf(c_0_10493,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8291,
    [final] ).

cnf(c_0_10494,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8292,
    [final] ).

cnf(c_0_10495,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8293,
    [final] ).

cnf(c_0_10496,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8294,
    [final] ).

cnf(c_0_10497,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8295,
    [final] ).

cnf(c_0_10498,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8296,
    [final] ).

cnf(c_0_10499,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8297,
    [final] ).

cnf(c_0_10500,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8298,
    [final] ).

cnf(c_0_10501,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8299,
    [final] ).

cnf(c_0_10502,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8300,
    [final] ).

cnf(c_0_10503,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8301,
    [final] ).

cnf(c_0_10504,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8302,
    [final] ).

cnf(c_0_10505,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8303,
    [final] ).

cnf(c_0_10506,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8304,
    [final] ).

cnf(c_0_10507,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8305,
    [final] ).

cnf(c_0_10508,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8306,
    [final] ).

cnf(c_0_10509,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8307,
    [final] ).

cnf(c_0_10510,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8308,
    [final] ).

cnf(c_0_10511,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8309,
    [final] ).

cnf(c_0_10512,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8310,
    [final] ).

cnf(c_0_10513,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8311,
    [final] ).

cnf(c_0_10514,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8312,
    [final] ).

cnf(c_0_10515,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8313,
    [final] ).

cnf(c_0_10516,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8314,
    [final] ).

cnf(c_0_10517,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8315,
    [final] ).

cnf(c_0_10518,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8316,
    [final] ).

cnf(c_0_10519,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8317,
    [final] ).

cnf(c_0_10520,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_8318,
    [final] ).

cnf(c_0_10521,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8319,
    [final] ).

cnf(c_0_10522,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8320,
    [final] ).

cnf(c_0_10523,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8321,
    [final] ).

cnf(c_0_10524,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8322,
    [final] ).

cnf(c_0_10525,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8323,
    [final] ).

cnf(c_0_10526,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8324,
    [final] ).

cnf(c_0_10527,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8325,
    [final] ).

cnf(c_0_10528,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8326,
    [final] ).

cnf(c_0_10529,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8327,
    [final] ).

cnf(c_0_10530,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8328,
    [final] ).

cnf(c_0_10531,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8329,
    [final] ).

cnf(c_0_10532,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8330,
    [final] ).

cnf(c_0_10533,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8331,
    [final] ).

cnf(c_0_10534,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8332,
    [final] ).

cnf(c_0_10535,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8333,
    [final] ).

cnf(c_0_10536,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8334,
    [final] ).

cnf(c_0_10537,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8335,
    [final] ).

cnf(c_0_10538,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8336,
    [final] ).

cnf(c_0_10539,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8337,
    [final] ).

cnf(c_0_10540,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8338,
    [final] ).

cnf(c_0_10541,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8339,
    [final] ).

cnf(c_0_10542,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8340,
    [final] ).

cnf(c_0_10543,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8341,
    [final] ).

cnf(c_0_10544,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8342,
    [final] ).

cnf(c_0_10545,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8343,
    [final] ).

cnf(c_0_10546,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8344,
    [final] ).

cnf(c_0_10547,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8345,
    [final] ).

cnf(c_0_10548,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8346,
    [final] ).

cnf(c_0_10549,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8347,
    [final] ).

cnf(c_0_10550,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8348,
    [final] ).

cnf(c_0_10551,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_8349,
    [final] ).

cnf(c_0_10552,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8350,
    [final] ).

cnf(c_0_10553,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8351,
    [final] ).

cnf(c_0_10554,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8352,
    [final] ).

cnf(c_0_10555,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8353,
    [final] ).

cnf(c_0_10556,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8354,
    [final] ).

cnf(c_0_10557,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8355,
    [final] ).

cnf(c_0_10558,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8356,
    [final] ).

cnf(c_0_10559,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8357,
    [final] ).

cnf(c_0_10560,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8358,
    [final] ).

cnf(c_0_10561,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8359,
    [final] ).

cnf(c_0_10562,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8360,
    [final] ).

cnf(c_0_10563,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8361,
    [final] ).

cnf(c_0_10564,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8362,
    [final] ).

cnf(c_0_10565,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8363,
    [final] ).

cnf(c_0_10566,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8364,
    [final] ).

cnf(c_0_10567,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8365,
    [final] ).

cnf(c_0_10568,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8366,
    [final] ).

cnf(c_0_10569,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8367,
    [final] ).

cnf(c_0_10570,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8368,
    [final] ).

cnf(c_0_10571,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8369,
    [final] ).

cnf(c_0_10572,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8370,
    [final] ).

cnf(c_0_10573,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8371,
    [final] ).

cnf(c_0_10574,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8372,
    [final] ).

cnf(c_0_10575,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8373,
    [final] ).

cnf(c_0_10576,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8374,
    [final] ).

cnf(c_0_10577,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8375,
    [final] ).

cnf(c_0_10578,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8376,
    [final] ).

cnf(c_0_10579,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8377,
    [final] ).

cnf(c_0_10580,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8378,
    [final] ).

cnf(c_0_10581,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    c_0_8379,
    [final] ).

cnf(c_0_10582,plain,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8380,
    [final] ).

cnf(c_0_10583,plain,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8381,
    [final] ).

cnf(c_0_10584,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8382,
    [final] ).

cnf(c_0_10585,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8383,
    [final] ).

cnf(c_0_10586,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8384,
    [final] ).

cnf(c_0_10587,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8385,
    [final] ).

cnf(c_0_10588,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8386,
    [final] ).

cnf(c_0_10589,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8387,
    [final] ).

cnf(c_0_10590,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8388,
    [final] ).

cnf(c_0_10591,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8389,
    [final] ).

cnf(c_0_10592,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8390,
    [final] ).

cnf(c_0_10593,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8391,
    [final] ).

cnf(c_0_10594,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8392,
    [final] ).

cnf(c_0_10595,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8393,
    [final] ).

cnf(c_0_10596,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8394,
    [final] ).

cnf(c_0_10597,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8395,
    [final] ).

cnf(c_0_10598,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8396,
    [final] ).

cnf(c_0_10599,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8397,
    [final] ).

cnf(c_0_10600,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8398,
    [final] ).

cnf(c_0_10601,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8399,
    [final] ).

cnf(c_0_10602,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8400,
    [final] ).

cnf(c_0_10603,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8401,
    [final] ).

cnf(c_0_10604,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8402,
    [final] ).

cnf(c_0_10605,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8403,
    [final] ).

cnf(c_0_10606,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8404,
    [final] ).

cnf(c_0_10607,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8405,
    [final] ).

cnf(c_0_10608,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8406,
    [final] ).

cnf(c_0_10609,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8407,
    [final] ).

cnf(c_0_10610,plain,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8408,
    [final] ).

cnf(c_0_10611,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8409,
    [final] ).

cnf(c_0_10612,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8410,
    [final] ).

cnf(c_0_10613,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8411,
    [final] ).

cnf(c_0_10614,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8412,
    [final] ).

cnf(c_0_10615,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8413,
    [final] ).

cnf(c_0_10616,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8414,
    [final] ).

cnf(c_0_10617,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8415,
    [final] ).

cnf(c_0_10618,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8416,
    [final] ).

cnf(c_0_10619,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8417,
    [final] ).

cnf(c_0_10620,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8418,
    [final] ).

cnf(c_0_10621,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8419,
    [final] ).

cnf(c_0_10622,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8420,
    [final] ).

cnf(c_0_10623,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8421,
    [final] ).

cnf(c_0_10624,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8422,
    [final] ).

cnf(c_0_10625,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8423,
    [final] ).

cnf(c_0_10626,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8424,
    [final] ).

cnf(c_0_10627,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8425,
    [final] ).

cnf(c_0_10628,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8426,
    [final] ).

cnf(c_0_10629,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8427,
    [final] ).

cnf(c_0_10630,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8428,
    [final] ).

cnf(c_0_10631,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8429,
    [final] ).

cnf(c_0_10632,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8430,
    [final] ).

cnf(c_0_10633,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8431,
    [final] ).

cnf(c_0_10634,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8432,
    [final] ).

cnf(c_0_10635,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8433,
    [final] ).

cnf(c_0_10636,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8434,
    [final] ).

cnf(c_0_10637,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8435,
    [final] ).

cnf(c_0_10638,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8436,
    [final] ).

cnf(c_0_10639,plain,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8437,
    [final] ).

cnf(c_0_10640,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8438,
    [final] ).

cnf(c_0_10641,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8439,
    [final] ).

cnf(c_0_10642,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_8440,
    [final] ).

cnf(c_0_10643,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8441,
    [final] ).

cnf(c_0_10644,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8442,
    [final] ).

cnf(c_0_10645,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8443,
    [final] ).

cnf(c_0_10646,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8444,
    [final] ).

cnf(c_0_10647,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8445,
    [final] ).

cnf(c_0_10648,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8446,
    [final] ).

cnf(c_0_10649,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8447,
    [final] ).

cnf(c_0_10650,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8448,
    [final] ).

cnf(c_0_10651,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8449,
    [final] ).

cnf(c_0_10652,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8450,
    [final] ).

cnf(c_0_10653,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8451,
    [final] ).

cnf(c_0_10654,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8452,
    [final] ).

cnf(c_0_10655,plain,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8453,
    [final] ).

cnf(c_0_10656,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8454,
    [final] ).

cnf(c_0_10657,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8455,
    [final] ).

cnf(c_0_10658,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8456,
    [final] ).

cnf(c_0_10659,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8457,
    [final] ).

cnf(c_0_10660,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8458,
    [final] ).

cnf(c_0_10661,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8459,
    [final] ).

cnf(c_0_10662,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8460,
    [final] ).

cnf(c_0_10663,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8461,
    [final] ).

cnf(c_0_10664,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8462,
    [final] ).

cnf(c_0_10665,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8463,
    [final] ).

cnf(c_0_10666,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8464,
    [final] ).

cnf(c_0_10667,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8465,
    [final] ).

cnf(c_0_10668,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8466,
    [final] ).

cnf(c_0_10669,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8467,
    [final] ).

cnf(c_0_10670,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8468,
    [final] ).

cnf(c_0_10671,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8469,
    [final] ).

cnf(c_0_10672,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8470,
    [final] ).

cnf(c_0_10673,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8471,
    [final] ).

cnf(c_0_10674,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8472,
    [final] ).

cnf(c_0_10675,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8473,
    [final] ).

cnf(c_0_10676,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8474,
    [final] ).

cnf(c_0_10677,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8475,
    [final] ).

cnf(c_0_10678,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8476,
    [final] ).

cnf(c_0_10679,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8477,
    [final] ).

cnf(c_0_10680,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8478,
    [final] ).

cnf(c_0_10681,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8479,
    [final] ).

cnf(c_0_10682,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8480,
    [final] ).

cnf(c_0_10683,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8481,
    [final] ).

cnf(c_0_10684,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8482,
    [final] ).

cnf(c_0_10685,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8483,
    [final] ).

cnf(c_0_10686,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8484,
    [final] ).

cnf(c_0_10687,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8485,
    [final] ).

cnf(c_0_10688,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8486,
    [final] ).

cnf(c_0_10689,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8487,
    [final] ).

cnf(c_0_10690,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8488,
    [final] ).

cnf(c_0_10691,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8489,
    [final] ).

cnf(c_0_10692,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8490,
    [final] ).

cnf(c_0_10693,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8491,
    [final] ).

cnf(c_0_10694,plain,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8492,
    [final] ).

cnf(c_0_10695,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8493,
    [final] ).

cnf(c_0_10696,plain,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8494,
    [final] ).

cnf(c_0_10697,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8495,
    [final] ).

cnf(c_0_10698,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8496,
    [final] ).

cnf(c_0_10699,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8497,
    [final] ).

cnf(c_0_10700,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_8498,
    [final] ).

cnf(c_0_10701,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8499,
    [final] ).

cnf(c_0_10702,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8500,
    [final] ).

cnf(c_0_10703,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8501,
    [final] ).

cnf(c_0_10704,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8502,
    [final] ).

cnf(c_0_10705,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8503,
    [final] ).

cnf(c_0_10706,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8504,
    [final] ).

cnf(c_0_10707,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8505,
    [final] ).

cnf(c_0_10708,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8506,
    [final] ).

cnf(c_0_10709,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8507,
    [final] ).

cnf(c_0_10710,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8508,
    [final] ).

cnf(c_0_10711,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8509,
    [final] ).

cnf(c_0_10712,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8510,
    [final] ).

cnf(c_0_10713,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8511,
    [final] ).

cnf(c_0_10714,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8512,
    [final] ).

cnf(c_0_10715,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8513,
    [final] ).

cnf(c_0_10716,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8514,
    [final] ).

cnf(c_0_10717,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8515,
    [final] ).

cnf(c_0_10718,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8516,
    [final] ).

cnf(c_0_10719,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8517,
    [final] ).

cnf(c_0_10720,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8518,
    [final] ).

cnf(c_0_10721,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8519,
    [final] ).

cnf(c_0_10722,plain,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8520,
    [final] ).

cnf(c_0_10723,plain,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8521,
    [final] ).

cnf(c_0_10724,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8522,
    [final] ).

cnf(c_0_10725,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8523,
    [final] ).

cnf(c_0_10726,plain,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8524,
    [final] ).

cnf(c_0_10727,plain,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8525,
    [final] ).

cnf(c_0_10728,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8526,
    [final] ).

cnf(c_0_10729,plain,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8527,
    [final] ).

cnf(c_0_10730,plain,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8528,
    [final] ).

cnf(c_0_10731,plain,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8529,
    [final] ).

cnf(c_0_10732,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8530,
    [final] ).

cnf(c_0_10733,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8531,
    [final] ).

cnf(c_0_10734,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8532,
    [final] ).

cnf(c_0_10735,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8533,
    [final] ).

cnf(c_0_10736,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8534,
    [final] ).

cnf(c_0_10737,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_8535,
    [final] ).

cnf(c_0_10738,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8536,
    [final] ).

cnf(c_0_10739,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8537,
    [final] ).

cnf(c_0_10740,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8538,
    [final] ).

cnf(c_0_10741,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8539,
    [final] ).

cnf(c_0_10742,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8540,
    [final] ).

cnf(c_0_10743,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8541,
    [final] ).

cnf(c_0_10744,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8542,
    [final] ).

cnf(c_0_10745,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8543,
    [final] ).

cnf(c_0_10746,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8544,
    [final] ).

cnf(c_0_10747,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8545,
    [final] ).

cnf(c_0_10748,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8546,
    [final] ).

cnf(c_0_10749,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8547,
    [final] ).

cnf(c_0_10750,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8548,
    [final] ).

cnf(c_0_10751,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8549,
    [final] ).

cnf(c_0_10752,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8550,
    [final] ).

cnf(c_0_10753,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8551,
    [final] ).

cnf(c_0_10754,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8552,
    [final] ).

cnf(c_0_10755,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8553,
    [final] ).

cnf(c_0_10756,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8554,
    [final] ).

cnf(c_0_10757,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8555,
    [final] ).

cnf(c_0_10758,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8556,
    [final] ).

cnf(c_0_10759,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8557,
    [final] ).

cnf(c_0_10760,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8558,
    [final] ).

cnf(c_0_10761,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8559,
    [final] ).

cnf(c_0_10762,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8560,
    [final] ).

cnf(c_0_10763,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8561,
    [final] ).

cnf(c_0_10764,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8562,
    [final] ).

cnf(c_0_10765,plain,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8563,
    [final] ).

cnf(c_0_10766,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8564,
    [final] ).

cnf(c_0_10767,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8565,
    [final] ).

cnf(c_0_10768,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8566,
    [final] ).

cnf(c_0_10769,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8567,
    [final] ).

cnf(c_0_10770,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8568,
    [final] ).

cnf(c_0_10771,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8569,
    [final] ).

cnf(c_0_10772,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8570,
    [final] ).

cnf(c_0_10773,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8571,
    [final] ).

cnf(c_0_10774,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8572,
    [final] ).

cnf(c_0_10775,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8573,
    [final] ).

cnf(c_0_10776,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8574,
    [final] ).

cnf(c_0_10777,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_8575,
    [final] ).

cnf(c_0_10778,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8576,
    [final] ).

cnf(c_0_10779,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8577,
    [final] ).

cnf(c_0_10780,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8578,
    [final] ).

cnf(c_0_10781,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8579,
    [final] ).

cnf(c_0_10782,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8580,
    [final] ).

cnf(c_0_10783,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8581,
    [final] ).

cnf(c_0_10784,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8582,
    [final] ).

cnf(c_0_10785,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8583,
    [final] ).

cnf(c_0_10786,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8584,
    [final] ).

cnf(c_0_10787,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8585,
    [final] ).

cnf(c_0_10788,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8586,
    [final] ).

cnf(c_0_10789,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8587,
    [final] ).

cnf(c_0_10790,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8588,
    [final] ).

cnf(c_0_10791,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8589,
    [final] ).

cnf(c_0_10792,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8590,
    [final] ).

cnf(c_0_10793,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8591,
    [final] ).

cnf(c_0_10794,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8592,
    [final] ).

cnf(c_0_10795,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8593,
    [final] ).

cnf(c_0_10796,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8594,
    [final] ).

cnf(c_0_10797,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8595,
    [final] ).

cnf(c_0_10798,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8596,
    [final] ).

cnf(c_0_10799,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8597,
    [final] ).

cnf(c_0_10800,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8598,
    [final] ).

cnf(c_0_10801,plain,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_8599,
    [final] ).

cnf(c_0_10802,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8600,
    [final] ).

cnf(c_0_10803,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8601,
    [final] ).

cnf(c_0_10804,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8602,
    [final] ).

cnf(c_0_10805,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8603,
    [final] ).

cnf(c_0_10806,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8604,
    [final] ).

cnf(c_0_10807,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8605,
    [final] ).

cnf(c_0_10808,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8606,
    [final] ).

cnf(c_0_10809,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8607,
    [final] ).

cnf(c_0_10810,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8608,
    [final] ).

cnf(c_0_10811,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8609,
    [final] ).

cnf(c_0_10812,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8610,
    [final] ).

cnf(c_0_10813,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8611,
    [final] ).

cnf(c_0_10814,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8612,
    [final] ).

cnf(c_0_10815,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8613,
    [final] ).

cnf(c_0_10816,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8614,
    [final] ).

cnf(c_0_10817,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8615,
    [final] ).

cnf(c_0_10818,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8616,
    [final] ).

cnf(c_0_10819,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8617,
    [final] ).

cnf(c_0_10820,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8618,
    [final] ).

cnf(c_0_10821,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8619,
    [final] ).

cnf(c_0_10822,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    c_0_8620,
    [final] ).

cnf(c_0_10823,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8621,
    [final] ).

cnf(c_0_10824,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8622,
    [final] ).

cnf(c_0_10825,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8623,
    [final] ).

cnf(c_0_10826,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8624,
    [final] ).

cnf(c_0_10827,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8625,
    [final] ).

cnf(c_0_10828,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8626,
    [final] ).

cnf(c_0_10829,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8627,
    [final] ).

cnf(c_0_10830,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8628,
    [final] ).

cnf(c_0_10831,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8629,
    [final] ).

cnf(c_0_10832,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8630,
    [final] ).

cnf(c_0_10833,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8631,
    [final] ).

cnf(c_0_10834,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8632,
    [final] ).

cnf(c_0_10835,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8633,
    [final] ).

cnf(c_0_10836,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8634,
    [final] ).

cnf(c_0_10837,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8635,
    [final] ).

cnf(c_0_10838,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_8636,
    [final] ).

cnf(c_0_10839,plain,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8637,
    [final] ).

cnf(c_0_10840,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8638,
    [final] ).

cnf(c_0_10841,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8639,
    [final] ).

cnf(c_0_10842,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8640,
    [final] ).

cnf(c_0_10843,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8641,
    [final] ).

cnf(c_0_10844,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8642,
    [final] ).

cnf(c_0_10845,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8643,
    [final] ).

cnf(c_0_10846,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8644,
    [final] ).

cnf(c_0_10847,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8645,
    [final] ).

cnf(c_0_10848,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8646,
    [final] ).

cnf(c_0_10849,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8647,
    [final] ).

cnf(c_0_10850,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8648,
    [final] ).

cnf(c_0_10851,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8649,
    [final] ).

cnf(c_0_10852,plain,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8650,
    [final] ).

cnf(c_0_10853,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8651,
    [final] ).

cnf(c_0_10854,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8652,
    [final] ).

cnf(c_0_10855,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8653,
    [final] ).

cnf(c_0_10856,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8654,
    [final] ).

cnf(c_0_10857,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8655,
    [final] ).

cnf(c_0_10858,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8656,
    [final] ).

cnf(c_0_10859,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8657,
    [final] ).

cnf(c_0_10860,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8658,
    [final] ).

cnf(c_0_10861,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8659,
    [final] ).

cnf(c_0_10862,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8660,
    [final] ).

cnf(c_0_10863,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    c_0_8661,
    [final] ).

cnf(c_0_10864,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8662,
    [final] ).

cnf(c_0_10865,plain,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8663,
    [final] ).

cnf(c_0_10866,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8664,
    [final] ).

cnf(c_0_10867,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8665,
    [final] ).

cnf(c_0_10868,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8666,
    [final] ).

cnf(c_0_10869,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8667,
    [final] ).

cnf(c_0_10870,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8668,
    [final] ).

cnf(c_0_10871,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8669,
    [final] ).

cnf(c_0_10872,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8670,
    [final] ).

cnf(c_0_10873,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8671,
    [final] ).

cnf(c_0_10874,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8672,
    [final] ).

cnf(c_0_10875,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8673,
    [final] ).

cnf(c_0_10876,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8674,
    [final] ).

cnf(c_0_10877,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8675,
    [final] ).

cnf(c_0_10878,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8676,
    [final] ).

cnf(c_0_10879,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    c_0_8677,
    [final] ).

cnf(c_0_10880,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8678,
    [final] ).

cnf(c_0_10881,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8679,
    [final] ).

cnf(c_0_10882,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8680,
    [final] ).

cnf(c_0_10883,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8681,
    [final] ).

cnf(c_0_10884,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8682,
    [final] ).

cnf(c_0_10885,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8683,
    [final] ).

cnf(c_0_10886,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8684,
    [final] ).

cnf(c_0_10887,plain,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8685,
    [final] ).

cnf(c_0_10888,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8686,
    [final] ).

cnf(c_0_10889,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8687,
    [final] ).

cnf(c_0_10890,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8688,
    [final] ).

cnf(c_0_10891,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8689,
    [final] ).

cnf(c_0_10892,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8690,
    [final] ).

cnf(c_0_10893,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8691,
    [final] ).

cnf(c_0_10894,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8692,
    [final] ).

cnf(c_0_10895,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8693,
    [final] ).

cnf(c_0_10896,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8694,
    [final] ).

cnf(c_0_10897,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8695,
    [final] ).

cnf(c_0_10898,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8696,
    [final] ).

cnf(c_0_10899,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8697,
    [final] ).

cnf(c_0_10900,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8698,
    [final] ).

cnf(c_0_10901,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8699,
    [final] ).

cnf(c_0_10902,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_8700,
    [final] ).

cnf(c_0_10903,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8701,
    [final] ).

cnf(c_0_10904,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8702,
    [final] ).

cnf(c_0_10905,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8703,
    [final] ).

cnf(c_0_10906,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8704,
    [final] ).

cnf(c_0_10907,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8705,
    [final] ).

cnf(c_0_10908,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8706,
    [final] ).

cnf(c_0_10909,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8707,
    [final] ).

cnf(c_0_10910,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8708,
    [final] ).

cnf(c_0_10911,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8709,
    [final] ).

cnf(c_0_10912,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8710,
    [final] ).

cnf(c_0_10913,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8711,
    [final] ).

cnf(c_0_10914,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    c_0_8712,
    [final] ).

cnf(c_0_10915,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8713,
    [final] ).

cnf(c_0_10916,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8714,
    [final] ).

cnf(c_0_10917,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8715,
    [final] ).

cnf(c_0_10918,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8716,
    [final] ).

cnf(c_0_10919,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8717,
    [final] ).

cnf(c_0_10920,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8718,
    [final] ).

cnf(c_0_10921,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8719,
    [final] ).

cnf(c_0_10922,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8720,
    [final] ).

cnf(c_0_10923,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8721,
    [final] ).

cnf(c_0_10924,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8722,
    [final] ).

cnf(c_0_10925,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8723,
    [final] ).

cnf(c_0_10926,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8724,
    [final] ).

cnf(c_0_10927,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8725,
    [final] ).

cnf(c_0_10928,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_8726,
    [final] ).

cnf(c_0_10929,plain,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8727,
    [final] ).

cnf(c_0_10930,plain,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8728,
    [final] ).

cnf(c_0_10931,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8729,
    [final] ).

cnf(c_0_10932,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8730,
    [final] ).

cnf(c_0_10933,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8731,
    [final] ).

cnf(c_0_10934,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8732,
    [final] ).

cnf(c_0_10935,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8733,
    [final] ).

cnf(c_0_10936,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8734,
    [final] ).

cnf(c_0_10937,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8735,
    [final] ).

cnf(c_0_10938,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8736,
    [final] ).

cnf(c_0_10939,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8737,
    [final] ).

cnf(c_0_10940,plain,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8738,
    [final] ).

cnf(c_0_10941,plain,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8739,
    [final] ).

cnf(c_0_10942,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8740,
    [final] ).

cnf(c_0_10943,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8741,
    [final] ).

cnf(c_0_10944,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8742,
    [final] ).

cnf(c_0_10945,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8743,
    [final] ).

cnf(c_0_10946,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8744,
    [final] ).

cnf(c_0_10947,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8745,
    [final] ).

cnf(c_0_10948,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    c_0_8746,
    [final] ).

cnf(c_0_10949,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_8747,
    [final] ).

cnf(c_0_10950,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_8748,
    [final] ).

cnf(c_0_10951,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_8749,
    [final] ).

cnf(c_0_10952,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_8750,
    [final] ).

cnf(c_0_10953,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_8751,
    [final] ).

cnf(c_0_10954,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8752,
    [final] ).

cnf(c_0_10955,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8753,
    [final] ).

cnf(c_0_10956,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8754,
    [final] ).

cnf(c_0_10957,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8755,
    [final] ).

cnf(c_0_10958,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8756,
    [final] ).

cnf(c_0_10959,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8757,
    [final] ).

cnf(c_0_10960,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8758,
    [final] ).

cnf(c_0_10961,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_8759,
    [final] ).

cnf(c_0_10962,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8760,
    [final] ).

cnf(c_0_10963,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8761,
    [final] ).

cnf(c_0_10964,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8762,
    [final] ).

cnf(c_0_10965,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8763,
    [final] ).

cnf(c_0_10966,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8764,
    [final] ).

cnf(c_0_10967,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8765,
    [final] ).

cnf(c_0_10968,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8766,
    [final] ).

cnf(c_0_10969,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8767,
    [final] ).

cnf(c_0_10970,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8768,
    [final] ).

cnf(c_0_10971,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8769,
    [final] ).

cnf(c_0_10972,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    c_0_8770,
    [final] ).

cnf(c_0_10973,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8771,
    [final] ).

cnf(c_0_10974,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8772,
    [final] ).

cnf(c_0_10975,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8773,
    [final] ).

cnf(c_0_10976,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8774,
    [final] ).

cnf(c_0_10977,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8775,
    [final] ).

cnf(c_0_10978,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8776,
    [final] ).

cnf(c_0_10979,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8777,
    [final] ).

cnf(c_0_10980,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8778,
    [final] ).

cnf(c_0_10981,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8779,
    [final] ).

cnf(c_0_10982,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8780,
    [final] ).

cnf(c_0_10983,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8781,
    [final] ).

cnf(c_0_10984,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_8782,
    [final] ).

cnf(c_0_10985,plain,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8783,
    [final] ).

cnf(c_0_10986,plain,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8784,
    [final] ).

cnf(c_0_10987,plain,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8785,
    [final] ).

cnf(c_0_10988,plain,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8786,
    [final] ).

cnf(c_0_10989,plain,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8787,
    [final] ).

cnf(c_0_10990,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8788,
    [final] ).

cnf(c_0_10991,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8789,
    [final] ).

cnf(c_0_10992,plain,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8790,
    [final] ).

cnf(c_0_10993,plain,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8791,
    [final] ).

cnf(c_0_10994,plain,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8792,
    [final] ).

cnf(c_0_10995,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8793,
    [final] ).

cnf(c_0_10996,plain,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8794,
    [final] ).

cnf(c_0_10997,plain,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8795,
    [final] ).

cnf(c_0_10998,plain,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8796,
    [final] ).

cnf(c_0_10999,plain,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8797,
    [final] ).

cnf(c_0_11000,plain,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    c_0_8798,
    [final] ).

cnf(c_0_11001,plain,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8799,
    [final] ).

cnf(c_0_11002,plain,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8800,
    [final] ).

cnf(c_0_11003,plain,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8801,
    [final] ).

cnf(c_0_11004,plain,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8802,
    [final] ).

cnf(c_0_11005,plain,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8803,
    [final] ).

cnf(c_0_11006,plain,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    c_0_8804,
    [final] ).

cnf(c_0_11007,plain,
    ( X1 = c_0
    | c_IntDef_Oint(X1) != c_0 ),
    c_0_8805,
    [final] ).

cnf(c_0_11008,plain,
    ( c_1 != c_0
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    c_0_8806,
    [final] ).

cnf(c_0_11009,plain,
    ( c_1 != c_0
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    c_0_8807,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_8808_0,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8808]) ).

cnf(c_0_8808_1,axiom,
    ( ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5))
    | c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8808]) ).

cnf(c_0_8809_0,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8809]) ).

cnf(c_0_8809_1,axiom,
    ( ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5))
    | c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8809]) ).

cnf(c_0_8810_0,axiom,
    ( c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8810]) ).

cnf(c_0_8810_1,axiom,
    ( ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5))
    | c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8810]) ).

cnf(c_0_8811_0,axiom,
    ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8811]) ).

cnf(c_0_8811_1,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8811]) ).

cnf(c_0_8812_0,axiom,
    ( c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X2,X3,X4,X1)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(v_sko__2Va(X2,X3,X4,X1),c_Message_Omsg_ONonce(X4))))),v_sko__2Vb(X2,X3,X4,X1)) = X1
    | c_Yahalom_OKeyWithNonce(X3,X4,X5)
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X2,X1),X5,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8812]) ).

cnf(c_0_8812_1,axiom,
    ( c_Yahalom_OKeyWithNonce(X3,X4,X5)
    | c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X2,X3,X4,X1)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(v_sko__2Va(X2,X3,X4,X1),c_Message_Omsg_ONonce(X4))))),v_sko__2Vb(X2,X3,X4,X1)) = X1
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X2,X1),X5,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8812]) ).

cnf(c_0_8812_2,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X3,X4,c_List_Olist_OCons(c_Event_Oevent_OSays(X6,X2,X1),X5,tc_Event_Oevent))
    | c_Yahalom_OKeyWithNonce(X3,X4,X5)
    | c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X2,X3,X4,X1)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(v_sko__2Va(X2,X3,X4,X1),c_Message_Omsg_ONonce(X4))))),v_sko__2Vb(X2,X3,X4,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8812]) ).

cnf(c_0_8813_0,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8813]) ).

cnf(c_0_8813_1,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8813]) ).

cnf(c_0_8814_0,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8814]) ).

cnf(c_0_8814_1,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8814]) ).

cnf(c_0_8815_0,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8815]) ).

cnf(c_0_8815_1,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8815]) ).

cnf(c_0_8815_2,axiom,
    ( ~ c_in(X2,c_Datatype__Universe_Odsum(X5,X1,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X2,X3,X4),c_Main_OdsumE__2(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__3(X1,X2,X3,X4),c_Main_OdsumE__4(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8815]) ).

cnf(c_0_8816_0,axiom,
    ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8816]) ).

cnf(c_0_8816_1,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8816]) ).

cnf(c_0_8816_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odsum(X2,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__3(X5,X1,X3,X4),c_Main_OdsumE__4(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8816]) ).

cnf(c_0_8817_0,axiom,
    ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8817]) ).

cnf(c_0_8817_1,axiom,
    ( c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8817]) ).

cnf(c_0_8817_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Main_OdsumE__1(X5,X1,X3,X4),c_Main_OdsumE__2(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8817]) ).

cnf(c_0_8818_0,axiom,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8818]) ).

cnf(c_0_8818_1,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X2,X3,X4,X1,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8818]) ).

cnf(c_0_8819_0,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8819]) ).

cnf(c_0_8819_1,axiom,
    ( ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X1,X2,X3,X4,X5),X4,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8819]) ).

cnf(c_0_8820_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8820]) ).

cnf(c_0_8820_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8820]) ).

cnf(c_0_8820_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8820]) ).

cnf(c_0_8820_3,axiom,
    ( ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8820]) ).

cnf(c_0_8821_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8821]) ).

cnf(c_0_8821_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8821]) ).

cnf(c_0_8821_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8821]) ).

cnf(c_0_8821_3,axiom,
    ( ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8821]) ).

cnf(c_0_8822_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8822]) ).

cnf(c_0_8822_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8822]) ).

cnf(c_0_8822_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8822]) ).

cnf(c_0_8822_3,axiom,
    ( ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X2,X11)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X1,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8822]) ).

cnf(c_0_8823_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8823]) ).

cnf(c_0_8823_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8823]) ).

cnf(c_0_8823_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2
    | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8823]) ).

cnf(c_0_8823_3,axiom,
    ( ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X11,X2)))),X12)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X1)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8823]) ).

cnf(c_0_8824_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8824]) ).

cnf(c_0_8824_1,axiom,
    ( ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8824]) ).

cnf(c_0_8824_2,axiom,
    ( ~ c_in(c_Pair(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_in(c_Pair(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_OScons(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X7,X8,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8824]) ).

cnf(c_0_8825_0,axiom,
    ( c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8825]) ).

cnf(c_0_8825_1,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X1,X4,X5),X3,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X2,X3,X1,X4,X5),X5,X5),X2,tc_prod(X5,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8825]) ).

cnf(c_0_8826_0,axiom,
    ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5))
    | ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8826]) ).

cnf(c_0_8826_1,axiom,
    ( ~ c_in(c_Pair(X2,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X1,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X1,X2,X3,X4,X5),X3,X5,X5),X1,tc_prod(X5,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8826]) ).

cnf(c_0_8827_0,axiom,
    ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8827]) ).

cnf(c_0_8827_1,axiom,
    ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8827]) ).

cnf(c_0_8827_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Odsum(X5,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1
    | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X1,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8827]) ).

cnf(c_0_8828_0,axiom,
    ( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8828]) ).

cnf(c_0_8828_1,axiom,
    ( ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5)
    | c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8828]) ).

cnf(c_0_8829_0,axiom,
    ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1
    | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8829]) ).

cnf(c_0_8829_1,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8829]) ).

cnf(c_0_8830_0,axiom,
    ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8830]) ).

cnf(c_0_8830_1,axiom,
    ( ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5)))
    | c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8830]) ).

cnf(c_0_8831_0,axiom,
    ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8831]) ).

cnf(c_0_8831_1,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8831]) ).

cnf(c_0_8832_0,axiom,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8832_1,axiom,
    ( c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8832_2,axiom,
    ( c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8832_3,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8832_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8832_5,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OKey(X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_8832]) ).

cnf(c_0_8833_0,axiom,
    ( c_Public_OshrK(v_sko__2VY(X1)) = X1
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8833_1,axiom,
    ( X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8833_2,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8833_3,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8833_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8833_5,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8833]) ).

cnf(c_0_8834_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8834]) ).

cnf(c_0_8834_1,axiom,
    ( ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
    | c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8834]) ).

cnf(c_0_8834_2,axiom,
    ( ~ c_in(c_Pair(X8,X2,X7,X4),X5,tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X6,tc_prod(X3,X7))
    | c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X7,X4,X3),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8834]) ).

cnf(c_0_8835_0,axiom,
    ( c_Public_OshrK(v_sko__2VY(X1)) = X1
    | X2 = X3
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8835_1,axiom,
    ( X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8835_2,axiom,
    ( c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8835_3,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8835_4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8835_5,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X3))))),X8)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)),tc_Message_Omsg)
    | X2 = X3
    | c_Public_OshrK(v_sko__2VY(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8835]) ).

cnf(c_0_8836_0,axiom,
    ( c_plus(X1,X2,tc_nat) = c_plus(X3,X4,tc_nat)
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_8836]) ).

cnf(c_0_8836_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X2,tc_nat) = c_plus(X3,X4,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8836]) ).

cnf(c_0_8837_0,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8837]) ).

cnf(c_0_8837_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8837]) ).

cnf(c_0_8837_2,axiom,
    ( ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_8837]) ).

cnf(c_0_8838_0,axiom,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8838]) ).

cnf(c_0_8838_1,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8838]) ).

cnf(c_0_8838_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8838]) ).

cnf(c_0_8838_3,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8838]) ).

cnf(c_0_8838_4,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8838]) ).

cnf(c_0_8839_0,axiom,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8839]) ).

cnf(c_0_8839_1,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8839]) ).

cnf(c_0_8839_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8839]) ).

cnf(c_0_8839_3,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8839]) ).

cnf(c_0_8839_4,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8839]) ).

cnf(c_0_8840_0,axiom,
    ( X1 = X2
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8840]) ).

cnf(c_0_8840_1,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8840]) ).

cnf(c_0_8840_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8840]) ).

cnf(c_0_8840_3,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8840]) ).

cnf(c_0_8840_4,axiom,
    ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8840]) ).

cnf(c_0_8841_0,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8841]) ).

cnf(c_0_8841_1,axiom,
    ( ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_8841]) ).

cnf(c_0_8842_0,axiom,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8842]) ).

cnf(c_0_8842_1,axiom,
    ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8842]) ).

cnf(c_0_8842_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8842]) ).

cnf(c_0_8843_0,axiom,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8843]) ).

cnf(c_0_8843_1,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8843]) ).

cnf(c_0_8843_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8843]) ).

cnf(c_0_8843_3,axiom,
    ( ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_8843]) ).

cnf(c_0_8844_0,axiom,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8844]) ).

cnf(c_0_8844_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8844]) ).

cnf(c_0_8844_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8844]) ).

cnf(c_0_8845_0,axiom,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8845]) ).

cnf(c_0_8845_1,axiom,
    ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8845]) ).

cnf(c_0_8845_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8845]) ).

cnf(c_0_8846_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8846]) ).

cnf(c_0_8846_1,axiom,
    ( ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8846]) ).

cnf(c_0_8847_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8847]) ).

cnf(c_0_8847_1,axiom,
    ( ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
    | c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X6,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_8847]) ).

cnf(c_0_8848_0,axiom,
    ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8848]) ).

cnf(c_0_8848_1,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8848]) ).

cnf(c_0_8848_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8848]) ).

cnf(c_0_8849_0,axiom,
    ( c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8849]) ).

cnf(c_0_8849_1,axiom,
    ( ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OuprodE__2(X1,X2,X3,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8849]) ).

cnf(c_0_8850_0,axiom,
    ( c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8850]) ).

cnf(c_0_8850_1,axiom,
    ( ~ c_in(X3,c_Datatype__Universe_Ouprod(X1,X2,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OuprodE__1(X1,X2,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_8850]) ).

cnf(c_0_8851_0,axiom,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8851]) ).

cnf(c_0_8851_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8851]) ).

cnf(c_0_8851_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8851]) ).

cnf(c_0_8852_0,axiom,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8852]) ).

cnf(c_0_8852_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8852]) ).

cnf(c_0_8852_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8852]) ).

cnf(c_0_8853_0,axiom,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8853]) ).

cnf(c_0_8853_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8853]) ).

cnf(c_0_8853_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8853]) ).

cnf(c_0_8854_0,axiom,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8854]) ).

cnf(c_0_8854_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8854]) ).

cnf(c_0_8854_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8854]) ).

cnf(c_0_8855_0,axiom,
    ( c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8855]) ).

cnf(c_0_8855_1,axiom,
    ( ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5)
    | c_in(c_Main_OImageE__1(X1,X2,X3,X4,X5),X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8855]) ).

cnf(c_0_8856_0,axiom,
    ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8856]) ).

cnf(c_0_8856_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8856]) ).

cnf(c_0_8857_0,axiom,
    ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8857]) ).

cnf(c_0_8857_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8857]) ).

cnf(c_0_8858_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8858]) ).

cnf(c_0_8858_1,axiom,
    ( c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8858]) ).

cnf(c_0_8858_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8858]) ).

cnf(c_0_8859_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8859]) ).

cnf(c_0_8859_1,axiom,
    ( c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8859]) ).

cnf(c_0_8859_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X6,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X5,X6,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8859]) ).

cnf(c_0_8860_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X4,tc_nat) != c_plus(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8860]) ).

cnf(c_0_8860_1,axiom,
    ( c_plus(X1,X4,tc_nat) != c_plus(X3,X2,tc_nat)
    | c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_8860]) ).

cnf(c_0_8861_0,axiom,
    ( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8861]) ).

cnf(c_0_8861_1,axiom,
    ( ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3))
    | c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8861]) ).

cnf(c_0_8862_0,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8862]) ).

cnf(c_0_8862_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8862]) ).

cnf(c_0_8863_0,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8863]) ).

cnf(c_0_8863_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8863]) ).

cnf(c_0_8864_0,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X2),c_List_Olist_OCons(X6,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8864]) ).

cnf(c_0_8864_1,axiom,
    ( c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X2),c_List_Olist_OCons(X6,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8864]) ).

cnf(c_0_8864_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X5,X1,X2),c_List_Olist_OCons(X6,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8864]) ).

cnf(c_0_8865_0,axiom,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8865]) ).

cnf(c_0_8865_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8865]) ).

cnf(c_0_8865_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8865]) ).

cnf(c_0_8866_0,axiom,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8866]) ).

cnf(c_0_8866_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8866]) ).

cnf(c_0_8866_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8866]) ).

cnf(c_0_8867_0,axiom,
    ( c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8867]) ).

cnf(c_0_8867_1,axiom,
    ( c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8867]) ).

cnf(c_0_8867_2,axiom,
    ( ~ c_in(X2,c_Datatype__Universe_Ousum(X5,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__1(X5,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__2(X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8867]) ).

cnf(c_0_8868_0,axiom,
    ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8868]) ).

cnf(c_0_8868_1,axiom,
    ( c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8868]) ).

cnf(c_0_8868_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__2(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8868]) ).

cnf(c_0_8869_0,axiom,
    ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8869]) ).

cnf(c_0_8869_1,axiom,
    ( c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8869]) ).

cnf(c_0_8869_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Main_OusumE__1(X5,X1,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8869]) ).

cnf(c_0_8870_0,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8870]) ).

cnf(c_0_8870_1,axiom,
    ( ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8870]) ).

cnf(c_0_8871_0,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8871]) ).

cnf(c_0_8871_1,axiom,
    ( ~ c_in(c_Pair(X2,X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8871]) ).

cnf(c_0_8872_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_8872]) ).

cnf(c_0_8872_1,axiom,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_8872]) ).

cnf(c_0_8873_0,axiom,
    ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8873]) ).

cnf(c_0_8873_1,axiom,
    ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
    | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8873]) ).

cnf(c_0_8873_2,axiom,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X5,X1,X3,X4),X3,X4) = X1
    | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8873]) ).

cnf(c_0_8874_0,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8874]) ).

cnf(c_0_8874_1,axiom,
    ( c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X3))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8874]) ).

cnf(c_0_8874_2,axiom,
    ( ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X3))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8874]) ).

cnf(c_0_8875_0,axiom,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_8875]) ).

cnf(c_0_8875_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_8875]) ).

cnf(c_0_8876_0,axiom,
    ( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8876]) ).

cnf(c_0_8876_1,axiom,
    ( c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
    | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8876]) ).

cnf(c_0_8876_2,axiom,
    ( ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | c_Sum__Type_OInl(c_Main_OPlusE__1(X5,X1,X4,X3),X4,X3) = X1
    | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8876]) ).

cnf(c_0_8877_0,axiom,
    ( c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8877]) ).

cnf(c_0_8877_1,axiom,
    ( c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
    | c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8877]) ).

cnf(c_0_8877_2,axiom,
    ( ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))
    | c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4)
    | c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8877]) ).

cnf(c_0_8878_0,axiom,
    ( c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8878]) ).

cnf(c_0_8878_1,axiom,
    ( c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
    | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8878]) ).

cnf(c_0_8878_2,axiom,
    ( ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4)
    | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8878]) ).

cnf(c_0_8879_0,axiom,
    ( c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
    | c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
    | ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8879]) ).

cnf(c_0_8879_1,axiom,
    ( c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
    | c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3)
    | ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8879]) ).

cnf(c_0_8879_2,axiom,
    ( ~ c_in(X2,c_Sum__Type_OPlus(X5,X1,X4,X3),tc_sum(X4,X3))
    | c_in(c_Main_OPlusE__1(X5,X2,X4,X3),X5,X4)
    | c_in(c_Main_OPlusE__2(X1,X2,X3,X4),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8879]) ).

cnf(c_0_8880_0,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8880]) ).

cnf(c_0_8880_1,axiom,
    ( ~ c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8880]) ).

cnf(c_0_8881_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8881]) ).

cnf(c_0_8881_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8881]) ).

cnf(c_0_8882_0,axiom,
    ( c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8882]) ).

cnf(c_0_8882_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8882]) ).

cnf(c_0_8883_0,axiom,
    ( c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8883]) ).

cnf(c_0_8883_1,axiom,
    ( ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8883]) ).

cnf(c_0_8884_0,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8884]) ).

cnf(c_0_8884_1,axiom,
    ( ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3)
    | c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8884]) ).

cnf(c_0_8885_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8885]) ).

cnf(c_0_8885_1,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Oacyclic(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8885]) ).

cnf(c_0_8885_2,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(X4,X3)
    | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8885]) ).

cnf(c_0_8886_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8886]) ).

cnf(c_0_8886_1,axiom,
    ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Owf(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8886]) ).

cnf(c_0_8886_2,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X4,X3)
    | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8886]) ).

cnf(c_0_8887_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8887]) ).

cnf(c_0_8887_1,axiom,
    ( ~ c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
    | c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8887]) ).

cnf(c_0_8888_0,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | X4 = X5
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8888]) ).

cnf(c_0_8888_1,axiom,
    ( X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8888]) ).

cnf(c_0_8888_2,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X3,tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8888]) ).

cnf(c_0_8889_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8889]) ).

cnf(c_0_8889_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | c_Divides_Oop_Advd(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8889]) ).

cnf(c_0_8890_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8890]) ).

cnf(c_0_8890_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
    | c_Divides_Oop_Advd(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8890]) ).

cnf(c_0_8891_0,axiom,
    ( c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5)
    | ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_8891]) ).

cnf(c_0_8891_1,axiom,
    ( ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
    | c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8891]) ).

cnf(c_0_8892_0,axiom,
    ( c_append(c_List_Ozip(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)) = c_List_Ozip(c_append(X1,X2,X3),c_append(X4,X5,X6),X3,X6)
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X6))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_8892]) ).

cnf(c_0_8892_1,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X6))
    | c_append(c_List_Ozip(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)) = c_List_Ozip(c_append(X1,X2,X3),c_append(X4,X5,X6),X3,X6)
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_8892]) ).

cnf(c_0_8892_2,axiom,
    ( c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X5,tc_List_Olist(X6))
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X6))
    | c_append(c_List_Ozip(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)) = c_List_Ozip(c_append(X1,X2,X3),c_append(X4,X5,X6),X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_8892]) ).

cnf(c_0_8893_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8893]) ).

cnf(c_0_8893_1,axiom,
    ( ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
    | c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8893]) ).

cnf(c_0_8894_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8894]) ).

cnf(c_0_8894_1,axiom,
    ( ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
    | c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8894]) ).

cnf(c_0_8895_0,axiom,
    ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8895]) ).

cnf(c_0_8895_1,axiom,
    ( ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8895]) ).

cnf(c_0_8895_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8895]) ).

cnf(c_0_8896_0,axiom,
    ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8896]) ).

cnf(c_0_8896_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8896]) ).

cnf(c_0_8896_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8896]) ).

cnf(c_0_8897_0,axiom,
    ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8897]) ).

cnf(c_0_8897_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8897]) ).

cnf(c_0_8897_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8897]) ).

cnf(c_0_8898_0,axiom,
    ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8898]) ).

cnf(c_0_8898_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8898]) ).

cnf(c_0_8898_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8898]) ).

cnf(c_0_8899_0,axiom,
    ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8899]) ).

cnf(c_0_8899_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8899]) ).

cnf(c_0_8899_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8899]) ).

cnf(c_0_8900_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8900]) ).

cnf(c_0_8900_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8900]) ).

cnf(c_0_8901_0,axiom,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8901]) ).

cnf(c_0_8901_1,axiom,
    ( ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(X6,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8901]) ).

cnf(c_0_8901_2,axiom,
    ( ~ c_in(X6,X3,X4)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8901]) ).

cnf(c_0_8902_0,axiom,
    ( c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8902]) ).

cnf(c_0_8902_1,axiom,
    ( ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3))
    | c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8902]) ).

cnf(c_0_8903_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8903]) ).

cnf(c_0_8903_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8903]) ).

cnf(c_0_8904_0,axiom,
    ( c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8904]) ).

cnf(c_0_8904_1,axiom,
    ( ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8904]) ).

cnf(c_0_8904_2,axiom,
    ( ~ c_in(X2,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(X5,X6,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_8904]) ).

cnf(c_0_8905_0,axiom,
    ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8905]) ).

cnf(c_0_8905_1,axiom,
    ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8905]) ).

cnf(c_0_8905_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_8905]) ).

cnf(c_0_8906_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8906]) ).

cnf(c_0_8906_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8906]) ).

cnf(c_0_8906_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8906]) ).

cnf(c_0_8906_3,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_ONonce(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_8906]) ).

cnf(c_0_8907_0,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) != c_Datatype_Ooption_ONone
    | ~ c_in(X5,c_List_Oset(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8907]) ).

cnf(c_0_8907_1,axiom,
    ( c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) != c_Datatype_Ooption_ONone
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | ~ c_in(X5,c_List_Oset(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8907]) ).

cnf(c_0_8907_2,axiom,
    ( ~ c_in(X5,c_List_Oset(X1,X2),X2)
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) != c_Datatype_Ooption_ONone
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8907]) ).

cnf(c_0_8908_0,axiom,
    ( c_Pair(c_List_Onth(X1,X5,X3),c_List_Onth(X2,X5,X4),X3,X4) = c_List_Onth(c_List_Ozip(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_less(X5,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | ~ c_less(X5,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8908]) ).

cnf(c_0_8908_1,axiom,
    ( ~ c_less(X5,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | c_Pair(c_List_Onth(X1,X5,X3),c_List_Onth(X2,X5,X4),X3,X4) = c_List_Onth(c_List_Ozip(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_less(X5,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8908]) ).

cnf(c_0_8908_2,axiom,
    ( ~ c_less(X5,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat)
    | ~ c_less(X5,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | c_Pair(c_List_Onth(X1,X5,X3),c_List_Onth(X2,X5,X4),X3,X4) = c_List_Onth(c_List_Ozip(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8908]) ).

cnf(c_0_8909_0,axiom,
    ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8909]) ).

cnf(c_0_8909_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8909]) ).

cnf(c_0_8910_0,axiom,
    ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8910]) ).

cnf(c_0_8910_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8910]) ).

cnf(c_0_8911_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8911]) ).

cnf(c_0_8911_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8911]) ).

cnf(c_0_8911_2,axiom,
    ( ~ c_Divides_Oop_Advd(X1,X3,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8911]) ).

cnf(c_0_8912_0,axiom,
    ( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8912]) ).

cnf(c_0_8912_1,axiom,
    ( ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat)
    | c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8912]) ).

cnf(c_0_8913_0,axiom,
    ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2) = X1
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8913]) ).

cnf(c_0_8913_1,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8913]) ).

cnf(c_0_8914_0,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8914]) ).

cnf(c_0_8914_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8914]) ).

cnf(c_0_8914_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8914]) ).

cnf(c_0_8915_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8915]) ).

cnf(c_0_8915_1,axiom,
    ( ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8915]) ).

cnf(c_0_8916_0,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8916]) ).

cnf(c_0_8916_1,axiom,
    ( ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8916]) ).

cnf(c_0_8917_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_1,axiom,
    ( ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_2,axiom,
    ( ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8917_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8917]) ).

cnf(c_0_8918_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_1,axiom,
    ( ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_3,axiom,
    ( ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8918_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8918]) ).

cnf(c_0_8919_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_1,axiom,
    ( ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_2,axiom,
    ( ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8919_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8919]) ).

cnf(c_0_8920_0,axiom,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_1,axiom,
    ( ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_3,axiom,
    ( ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8920_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8920]) ).

cnf(c_0_8921_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8921]) ).

cnf(c_0_8921_1,axiom,
    ( ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_8921]) ).

cnf(c_0_8922_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_8922]) ).

cnf(c_0_8922_1,axiom,
    ( ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_8922]) ).

cnf(c_0_8923_0,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8923]) ).

cnf(c_0_8923_1,axiom,
    ( ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8923]) ).

cnf(c_0_8923_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_8923]) ).

cnf(c_0_8924_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_1,axiom,
    ( ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_2,axiom,
    ( ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_3,axiom,
    ( ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8924_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8924]) ).

cnf(c_0_8925_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_1,axiom,
    ( ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_2,axiom,
    ( ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_3,axiom,
    ( ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8925_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8925]) ).

cnf(c_0_8926_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_1,axiom,
    ( ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_2,axiom,
    ( ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_3,axiom,
    ( ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8926_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8926]) ).

cnf(c_0_8927_0,axiom,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_1,axiom,
    ( ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_2,axiom,
    ( ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_3,axiom,
    ( ~ c_less(X1,c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X1,c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X1,c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8927_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(X1,c_0,X4)
    | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8927]) ).

cnf(c_0_8928_0,axiom,
    ( c_Nat_Opower(c_uminus(X1,X2),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8928]) ).

cnf(c_0_8928_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_Nat_Opower(c_uminus(X1,X2),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8928]) ).

cnf(c_0_8928_2,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_Nat_Opower(c_uminus(X1,X2),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8928]) ).

cnf(c_0_8929_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_8929]) ).

cnf(c_0_8929_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8929]) ).

cnf(c_0_8930_0,axiom,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8930]) ).

cnf(c_0_8930_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X3,X2)
    | ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8930]) ).

cnf(c_0_8931_0,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
    | ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8931]) ).

cnf(c_0_8931_1,axiom,
    ( ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_8931]) ).

cnf(c_0_8932_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8932]) ).

cnf(c_0_8932_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8932]) ).

cnf(c_0_8933_0,axiom,
    ( c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8933]) ).

cnf(c_0_8933_1,axiom,
    ( ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8933]) ).

cnf(c_0_8934_0,axiom,
    ( c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8934]) ).

cnf(c_0_8934_1,axiom,
    ( ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
    | c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_8934]) ).

cnf(c_0_8935_0,axiom,
    ( c_Map_Omap__of(c_List_Ozip(X1,X2,X3,X4),X5,X3,X4) = c_Datatype_Ooption_ONone
    | c_in(X5,c_List_Oset(X1,X3),X3)
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8935]) ).

cnf(c_0_8935_1,axiom,
    ( c_in(X5,c_List_Oset(X1,X3),X3)
    | c_Map_Omap__of(c_List_Ozip(X1,X2,X3,X4),X5,X3,X4) = c_Datatype_Ooption_ONone
    | c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8935]) ).

cnf(c_0_8935_2,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize(X2,tc_List_Olist(X4))
    | c_in(X5,c_List_Oset(X1,X3),X3)
    | c_Map_Omap__of(c_List_Ozip(X1,X2,X3,X4),X5,X3,X4) = c_Datatype_Ooption_ONone ),
    inference(literals_permutation,[status(thm)],[c_0_8935]) ).

cnf(c_0_8936_0,axiom,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8936]) ).

cnf(c_0_8936_1,axiom,
    ( ~ c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8936]) ).

cnf(c_0_8937_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8937]) ).

cnf(c_0_8937_1,axiom,
    ( c_Datatype__Universe_OScons(X1,X3,X4,X5) != c_Datatype__Universe_OScons(X2,X6,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8937]) ).

cnf(c_0_8938_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8938]) ).

cnf(c_0_8938_1,axiom,
    ( c_Datatype__Universe_OScons(X3,X1,X4,X5) != c_Datatype__Universe_OScons(X6,X2,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8938]) ).

cnf(c_0_8939_0,axiom,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8939]) ).

cnf(c_0_8939_1,axiom,
    ( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8939]) ).

cnf(c_0_8940_0,axiom,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_8940]) ).

cnf(c_0_8940_1,axiom,
    ( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_8940]) ).

cnf(c_0_8941_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8941]) ).

cnf(c_0_8941_1,axiom,
    ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8941]) ).

cnf(c_0_8941_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8941]) ).

cnf(c_0_8941_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8941]) ).

cnf(c_0_8941_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8941]) ).

cnf(c_0_8942_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8942]) ).

cnf(c_0_8942_1,axiom,
    ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8942]) ).

cnf(c_0_8942_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8942]) ).

cnf(c_0_8942_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8942]) ).

cnf(c_0_8942_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8942]) ).

cnf(c_0_8943_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8943]) ).

cnf(c_0_8943_1,axiom,
    ( ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8943]) ).

cnf(c_0_8943_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8943]) ).

cnf(c_0_8943_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8943]) ).

cnf(c_0_8943_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8943]) ).

cnf(c_0_8944_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8944]) ).

cnf(c_0_8944_1,axiom,
    ( ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8944]) ).

cnf(c_0_8944_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8944]) ).

cnf(c_0_8944_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8944]) ).

cnf(c_0_8944_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8944]) ).

cnf(c_0_8945_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8945]) ).

cnf(c_0_8945_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8945]) ).

cnf(c_0_8945_2,axiom,
    ( ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8945]) ).

cnf(c_0_8945_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8945]) ).

cnf(c_0_8945_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8945]) ).

cnf(c_0_8946_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8946]) ).

cnf(c_0_8946_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8946]) ).

cnf(c_0_8946_2,axiom,
    ( ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8946]) ).

cnf(c_0_8946_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8946]) ).

cnf(c_0_8946_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X4,X3),X2,X3),c_times(c_Numeral_Onumber__of(X4,X3),X1,X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8946]) ).

cnf(c_0_8947_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8947]) ).

cnf(c_0_8947_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8947]) ).

cnf(c_0_8947_2,axiom,
    ( ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8947]) ).

cnf(c_0_8947_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8947]) ).

cnf(c_0_8947_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8947]) ).

cnf(c_0_8948_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8948]) ).

cnf(c_0_8948_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8948]) ).

cnf(c_0_8948_2,axiom,
    ( ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8948]) ).

cnf(c_0_8948_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8948]) ).

cnf(c_0_8948_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X4,X3),c_0,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8948]) ).

cnf(c_0_8949_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_2,axiom,
    ( ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8949_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8949]) ).

cnf(c_0_8950_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_2,axiom,
    ( ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8950_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8950]) ).

cnf(c_0_8951_0,axiom,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_2,axiom,
    ( ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8951_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8951]) ).

cnf(c_0_8952_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_2,axiom,
    ( ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8952_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8952]) ).

cnf(c_0_8953_0,axiom,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_2,axiom,
    ( ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8953_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8953]) ).

cnf(c_0_8954_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_2,axiom,
    ( ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_3,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8954_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8954]) ).

cnf(c_0_8955_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_1,axiom,
    ( c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_3,axiom,
    ( ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8955_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8955]) ).

cnf(c_0_8956_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_1,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_3,axiom,
    ( ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8956_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8956]) ).

cnf(c_0_8957_0,axiom,
    ( c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_8957]) ).

cnf(c_0_8957_1,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
    | c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8957]) ).

cnf(c_0_8958_0,axiom,
    ( c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3))
    | ~ c_in(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8958]) ).

cnf(c_0_8958_1,axiom,
    ( ~ c_in(X1,X4,X2)
    | c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X2,X3),tc_sum(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8958]) ).

cnf(c_0_8959_0,axiom,
    ( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
    | ~ c_in(X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8959]) ).

cnf(c_0_8959_1,axiom,
    ( ~ c_in(X1,X5,X2)
    | c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8959]) ).

cnf(c_0_8960_0,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_8960]) ).

cnf(c_0_8960_1,axiom,
    ( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_8960]) ).

cnf(c_0_8960_2,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_8960]) ).

cnf(c_0_8961_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_2,axiom,
    ( ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_3,axiom,
    ( ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8961_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8961]) ).

cnf(c_0_8962_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_2,axiom,
    ( ~ c_lessequals(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_3,axiom,
    ( ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8962_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8962]) ).

cnf(c_0_8963_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_2,axiom,
    ( ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_3,axiom,
    ( ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8963_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8963]) ).

cnf(c_0_8964_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_2,axiom,
    ( ~ c_less(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_3,axiom,
    ( ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8964_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8964]) ).

cnf(c_0_8965_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_2,axiom,
    ( ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_3,axiom,
    ( ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8965_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8965]) ).

cnf(c_0_8966_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_2,axiom,
    ( ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_3,axiom,
    ( ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8966_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8966]) ).

cnf(c_0_8967_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_1,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_2,axiom,
    ( ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_3,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8967_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X4,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8967]) ).

cnf(c_0_8968_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_1,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_2,axiom,
    ( ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_3,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8968_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X4,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8968]) ).

cnf(c_0_8969_0,axiom,
    ( c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8969_1,axiom,
    ( ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8969_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8969_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8969_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8969_5,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8969]) ).

cnf(c_0_8970_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8970_1,axiom,
    ( ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8970_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8970_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8970_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8970_5,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8970]) ).

cnf(c_0_8971_0,axiom,
    ( c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8971_1,axiom,
    ( ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8971_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8971_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8971_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8971_5,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8971]) ).

cnf(c_0_8972_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8972_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8972_2,axiom,
    ( ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8972_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8972_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8972_5,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8972]) ).

cnf(c_0_8973_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8973_1,axiom,
    ( ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8973_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8973_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8973_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8973_5,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8973]) ).

cnf(c_0_8974_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8974_1,axiom,
    ( ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8974_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8974_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8974_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8974_5,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8974]) ).

cnf(c_0_8975_0,axiom,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8975_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8975_2,axiom,
    ( ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8975_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8975_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8975_5,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_divide(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8975]) ).

cnf(c_0_8976_0,axiom,
    ( c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8976_1,axiom,
    ( ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8976_2,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8976_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8976_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8976_5,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X4),X4),X2,X4)
    | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8976]) ).

cnf(c_0_8977_0,axiom,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X2,X4) = X3
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8977]) ).

cnf(c_0_8977_1,axiom,
    ( ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X4)),tc_nat)
    | c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X2,X4) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_8977]) ).

cnf(c_0_8978_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2))
    | ~ c_in(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8978]) ).

cnf(c_0_8978_1,axiom,
    ( ~ c_in(X1,X3,X2)
    | c_in(c_Pair(X1,X1,X2,X2),c_Relation_Odiag(X3,X2),tc_prod(X2,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8978]) ).

cnf(c_0_8979_0,axiom,
    ( c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8979]) ).

cnf(c_0_8979_1,axiom,
    ( ~ c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8979]) ).

cnf(c_0_8980_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4) = c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8980]) ).

cnf(c_0_8980_1,axiom,
    ( c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4) = c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_8980]) ).

cnf(c_0_8981_0,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8981]) ).

cnf(c_0_8981_1,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8981]) ).

cnf(c_0_8981_2,axiom,
    ( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_8981]) ).

cnf(c_0_8982_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8982]) ).

cnf(c_0_8982_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_8982]) ).

cnf(c_0_8983_0,axiom,
    ( c_Message_Oagent_OServer = X1
    | c_Yahalom_OKeyWithNonce(X2,X3,X4)
    | ~ c_Yahalom_OKeyWithNonce(X2,X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X5,X6),X4,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8983]) ).

cnf(c_0_8983_1,axiom,
    ( c_Yahalom_OKeyWithNonce(X2,X3,X4)
    | c_Message_Oagent_OServer = X1
    | ~ c_Yahalom_OKeyWithNonce(X2,X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X5,X6),X4,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_8983]) ).

cnf(c_0_8983_2,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X2,X3,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X5,X6),X4,tc_Event_Oevent))
    | c_Yahalom_OKeyWithNonce(X2,X3,X4)
    | c_Message_Oagent_OServer = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8983]) ).

cnf(c_0_8984_0,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_8984]) ).

cnf(c_0_8984_1,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_8984]) ).

cnf(c_0_8985_0,axiom,
    ( c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8985]) ).

cnf(c_0_8985_1,axiom,
    ( ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3))
    | c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_8985]) ).

cnf(c_0_8986_0,axiom,
    ( c_List_Onth(c_List_Odrop(X1,X2,X3),X4,X3) = c_List_Onth(X2,c_plus(X1,X4,tc_nat),X3)
    | ~ c_lessequals(c_plus(X1,X4,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8986]) ).

cnf(c_0_8986_1,axiom,
    ( ~ c_lessequals(c_plus(X1,X4,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
    | c_List_Onth(c_List_Odrop(X1,X2,X3),X4,X3) = c_List_Onth(X2,c_plus(X1,X4,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8986]) ).

cnf(c_0_8987_0,axiom,
    ( c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X5,X4) = c_List_Onth(X1,X5,X4)
    | X2 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_8987]) ).

cnf(c_0_8987_1,axiom,
    ( X2 = X5
    | c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X5,X4) = c_List_Onth(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8987]) ).

cnf(c_0_8988_0,axiom,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_plus(X2,c_div(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8988]) ).

cnf(c_0_8988_1,axiom,
    ( ~ c_less(c_0,X3,tc_nat)
    | c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_plus(X2,c_div(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8988]) ).

cnf(c_0_8989_0,axiom,
    ( c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_plus(X3,c_div(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8989]) ).

cnf(c_0_8989_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_div(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_plus(X3,c_div(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8989]) ).

cnf(c_0_8990_0,axiom,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Otrans(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8990]) ).

cnf(c_0_8990_1,axiom,
    ( ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Relation_Otrans(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8990]) ).

cnf(c_0_8990_2,axiom,
    ( ~ c_Relation_Otrans(X2,X4)
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8990]) ).

cnf(c_0_8991_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8991]) ).

cnf(c_0_8991_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4))
    | ~ c_Wellfounded__Recursion_Owf(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8991]) ).

cnf(c_0_8991_2,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X2,X4)
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X1,X2,X3,X4),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_8991]) ).

cnf(c_0_8992_0,axiom,
    ( c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_8992]) ).

cnf(c_0_8992_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_8992]) ).

cnf(c_0_8993_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8993]) ).

cnf(c_0_8993_1,axiom,
    ( ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8993]) ).

cnf(c_0_8993_2,axiom,
    ( ~ c_less(c_1,X3,X4)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_lessequals(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8993]) ).

cnf(c_0_8993_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_lessequals(X1,X2,tc_nat)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8993]) ).

cnf(c_0_8993_4,axiom,
    ( ~ class_Power_Orecpower(X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | ~ c_lessequals(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8993]) ).

cnf(c_0_8994_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8994]) ).

cnf(c_0_8994_1,axiom,
    ( ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_less(X1,X2,tc_nat)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8994]) ).

cnf(c_0_8994_2,axiom,
    ( ~ c_less(c_1,X3,X4)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_less(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8994]) ).

cnf(c_0_8994_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_less(X1,X2,tc_nat)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_8994]) ).

cnf(c_0_8994_4,axiom,
    ( ~ class_Power_Orecpower(X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | ~ c_less(c_Nat_Opower(X3,X1,X4),c_Nat_Opower(X3,X2,X4),X4)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_8994]) ).

cnf(c_0_8995_0,axiom,
    ( c_minus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_minus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8995]) ).

cnf(c_0_8995_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_minus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_minus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8995]) ).

cnf(c_0_8995_2,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oring(X3)
    | c_minus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_minus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8995]) ).

cnf(c_0_8996_0,axiom,
    ( c_plus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_plus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Ring__and__Field_Osemiring(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8996]) ).

cnf(c_0_8996_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X3)
    | c_plus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_plus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8996]) ).

cnf(c_0_8996_2,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Osemiring(X3)
    | c_plus(c_times(X1,c_Numeral_Onumber__of(X4,X3),X3),c_times(X2,c_Numeral_Onumber__of(X4,X3),X3),X3) = c_times(c_plus(X1,X2,X3),c_Numeral_Onumber__of(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_8996]) ).

cnf(c_0_8997_0,axiom,
    ( c_minus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_minus(X3,X4,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8997]) ).

cnf(c_0_8997_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_minus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_minus(X3,X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8997]) ).

cnf(c_0_8997_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oring(X2)
    | c_minus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_minus(X3,X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8997]) ).

cnf(c_0_8998_0,axiom,
    ( c_plus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_plus(X3,X4,X2),X2)
    | ~ class_Ring__and__Field_Osemiring(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8998]) ).

cnf(c_0_8998_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X2)
    | c_plus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_plus(X3,X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8998]) ).

cnf(c_0_8998_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Osemiring(X2)
    | c_plus(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_plus(X3,X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8998]) ).

cnf(c_0_8999_0,axiom,
    ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8999]) ).

cnf(c_0_8999_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8999]) ).

cnf(c_0_8999_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8999]) ).

cnf(c_0_8999_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_8999]) ).

cnf(c_0_9000_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_3,axiom,
    ( ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9000_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9000]) ).

cnf(c_0_9001_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_2,axiom,
    ( c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_3,axiom,
    ( ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9001_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9001]) ).

cnf(c_0_9002_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_3,axiom,
    ( ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9002_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_divide(X4,c_Numeral_Onumber__of(X3,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
    | c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9002]) ).

cnf(c_0_9003_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_2,axiom,
    ( c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_3,axiom,
    ( ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9003_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9003]) ).

cnf(c_0_9004_0,axiom,
    ( c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9004]) ).

cnf(c_0_9004_1,axiom,
    ( ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9004]) ).

cnf(c_0_9004_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9004]) ).

cnf(c_0_9004_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9004]) ).

cnf(c_0_9004_4,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9004]) ).

cnf(c_0_9005_0,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9005]) ).

cnf(c_0_9005_1,axiom,
    ( ~ c_lessequals(X3,X4,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9005]) ).

cnf(c_0_9005_2,axiom,
    ( ~ c_lessequals(X4,X3,X2)
    | ~ c_lessequals(X3,X4,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9005]) ).

cnf(c_0_9005_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ c_lessequals(X3,X4,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9005]) ).

cnf(c_0_9005_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ c_lessequals(X3,X4,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9005]) ).

cnf(c_0_9006_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9006]) ).

cnf(c_0_9006_1,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9006]) ).

cnf(c_0_9006_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9006]) ).

cnf(c_0_9006_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9006]) ).

cnf(c_0_9006_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9006]) ).

cnf(c_0_9007_0,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9007]) ).

cnf(c_0_9007_1,axiom,
    ( ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9007]) ).

cnf(c_0_9007_2,axiom,
    ( ~ c_less(X4,X3,X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9007]) ).

cnf(c_0_9007_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9007]) ).

cnf(c_0_9007_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9007]) ).

cnf(c_0_9008_0,axiom,
    ( c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9008]) ).

cnf(c_0_9008_1,axiom,
    ( ~ c_less(X1,X4,X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9008]) ).

cnf(c_0_9008_2,axiom,
    ( ~ c_less(X4,X1,X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9008]) ).

cnf(c_0_9008_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(X4,X1,X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9008]) ).

cnf(c_0_9008_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_less(X4,X1,X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9008]) ).

cnf(c_0_9009_0,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9009]) ).

cnf(c_0_9009_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9009]) ).

cnf(c_0_9009_2,axiom,
    ( ~ c_lessequals(X4,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9009]) ).

cnf(c_0_9009_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X4,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9009]) ).

cnf(c_0_9009_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X4,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9009]) ).

cnf(c_0_9010_0,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9010]) ).

cnf(c_0_9010_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9010]) ).

cnf(c_0_9010_2,axiom,
    ( ~ c_lessequals(X3,X4,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9010]) ).

cnf(c_0_9010_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,X4,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9010]) ).

cnf(c_0_9010_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,X4,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9010]) ).

cnf(c_0_9011_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9011]) ).

cnf(c_0_9011_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9011]) ).

cnf(c_0_9011_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9011]) ).

cnf(c_0_9011_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X4,X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9011]) ).

cnf(c_0_9011_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X4,X1,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9011]) ).

cnf(c_0_9012_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9012]) ).

cnf(c_0_9012_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9012]) ).

cnf(c_0_9012_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9012]) ).

cnf(c_0_9012_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9012]) ).

cnf(c_0_9012_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9012]) ).

cnf(c_0_9013_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9013]) ).

cnf(c_0_9013_1,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9013]) ).

cnf(c_0_9013_2,axiom,
    ( ~ c_less(X4,X3,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9013]) ).

cnf(c_0_9013_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9013]) ).

cnf(c_0_9013_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9013]) ).

cnf(c_0_9014_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9014]) ).

cnf(c_0_9014_1,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9014]) ).

cnf(c_0_9014_2,axiom,
    ( ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9014]) ).

cnf(c_0_9014_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9014]) ).

cnf(c_0_9014_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9014]) ).

cnf(c_0_9015_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9015]) ).

cnf(c_0_9015_1,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9015]) ).

cnf(c_0_9015_2,axiom,
    ( ~ c_less(X4,X3,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9015]) ).

cnf(c_0_9015_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9015]) ).

cnf(c_0_9015_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X4,X3,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9015]) ).

cnf(c_0_9016_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9016]) ).

cnf(c_0_9016_1,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9016]) ).

cnf(c_0_9016_2,axiom,
    ( ~ c_less(X3,X4,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9016]) ).

cnf(c_0_9016_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9016]) ).

cnf(c_0_9016_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_less(X3,X4,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9016]) ).

cnf(c_0_9017_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9017]) ).

cnf(c_0_9017_1,axiom,
    ( c_lessequals(X4,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9017]) ).

cnf(c_0_9017_2,axiom,
    ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | c_lessequals(X4,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9017]) ).

cnf(c_0_9017_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | c_lessequals(X4,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9017]) ).

cnf(c_0_9018_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9018]) ).

cnf(c_0_9018_1,axiom,
    ( c_lessequals(X1,X4,X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9018]) ).

cnf(c_0_9018_2,axiom,
    ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | c_lessequals(X1,X4,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9018]) ).

cnf(c_0_9018_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X3),c_SetInterval_OatLeastLessThan(X5,X4,X3),tc_set(X3))
    | c_lessequals(X1,X4,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9018]) ).

cnf(c_0_9019_0,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9019]) ).

cnf(c_0_9019_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9019]) ).

cnf(c_0_9019_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9019]) ).

cnf(c_0_9019_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9019]) ).

cnf(c_0_9019_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9019]) ).

cnf(c_0_9020_0,axiom,
    ( c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9020]) ).

cnf(c_0_9020_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9020]) ).

cnf(c_0_9020_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9020]) ).

cnf(c_0_9020_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9020]) ).

cnf(c_0_9020_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_times(X4,c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9020]) ).

cnf(c_0_9021_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9021]) ).

cnf(c_0_9021_1,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9021]) ).

cnf(c_0_9021_2,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9021]) ).

cnf(c_0_9021_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9021]) ).

cnf(c_0_9021_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_times(c_Numeral_Onumber__of(X1,X2),X3,X2),c_times(c_Numeral_Onumber__of(X1,X2),X4,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9021]) ).

cnf(c_0_9022_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9022]) ).

cnf(c_0_9022_1,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9022]) ).

cnf(c_0_9022_2,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9022]) ).

cnf(c_0_9022_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9022]) ).

cnf(c_0_9022_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_times(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9022]) ).

cnf(c_0_9023_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9023]) ).

cnf(c_0_9023_1,axiom,
    ( ~ c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9023]) ).

cnf(c_0_9023_2,axiom,
    ( ~ c_less(c_0,X3,tc_nat)
    | ~ c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9023]) ).

cnf(c_0_9024_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9024]) ).

cnf(c_0_9024_1,axiom,
    ( ~ c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9024]) ).

cnf(c_0_9024_2,axiom,
    ( ~ c_less(c_0,X3,tc_nat)
    | ~ c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9024]) ).

cnf(c_0_9025_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9025]) ).

cnf(c_0_9025_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Oremove1(X4,X2,X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9025]) ).

cnf(c_0_9026_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9026]) ).

cnf(c_0_9026_1,axiom,
    ( ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9026]) ).

cnf(c_0_9027_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9027]) ).

cnf(c_0_9027_1,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9027]) ).

cnf(c_0_9027_2,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9027]) ).

cnf(c_0_9028_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9028]) ).

cnf(c_0_9028_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9028]) ).

cnf(c_0_9028_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9028]) ).

cnf(c_0_9028_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9028]) ).

cnf(c_0_9029_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9029_1,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9029_2,axiom,
    ( ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9029_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9029_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9029_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9029]) ).

cnf(c_0_9030_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9030_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9030_2,axiom,
    ( ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9030_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9030_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9030_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9030]) ).

cnf(c_0_9031_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9031_1,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9031_2,axiom,
    ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9031_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9031_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9031_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9031]) ).

cnf(c_0_9032_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9032_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9032_2,axiom,
    ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9032_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9032_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9032_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9032]) ).

cnf(c_0_9033_0,axiom,
    ( c_minus(c_plus(X1,X3,tc_nat),c_Suc(X2),tc_nat) = c_minus(X1,c_Suc(c_minus(X2,X3,tc_nat)),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9033]) ).

cnf(c_0_9033_1,axiom,
    ( ~ c_lessequals(X3,X2,tc_nat)
    | c_minus(c_plus(X1,X3,tc_nat),c_Suc(X2),tc_nat) = c_minus(X1,c_Suc(c_minus(X2,X3,tc_nat)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9033]) ).

cnf(c_0_9034_0,axiom,
    ( c_minus(c_Suc(c_minus(X1,X2,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X1),c_plus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9034]) ).

cnf(c_0_9034_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_minus(c_Suc(c_minus(X1,X2,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X1),c_plus(X2,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9034]) ).

cnf(c_0_9035_0,axiom,
    ( X1 = X2
    | c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9035]) ).

cnf(c_0_9035_1,axiom,
    ( c_append(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil,X4),X4) != c_append(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9035]) ).

cnf(c_0_9036_0,axiom,
    ( X1 = X2
    | c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9036]) ).

cnf(c_0_9036_1,axiom,
    ( c_append(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X4),X4) != c_append(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9036]) ).

cnf(c_0_9037_0,axiom,
    ( c_List_Olist__update(X1,X2,c_List_Onth(X1,X2,X3),X3) = X1
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9037]) ).

cnf(c_0_9037_1,axiom,
    ( ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | c_List_Olist__update(X1,X2,c_List_Onth(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9037]) ).

cnf(c_0_9038_0,axiom,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9038]) ).

cnf(c_0_9038_1,axiom,
    ( X2 = c_Numeral_Obit_OB0
    | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9038]) ).

cnf(c_0_9038_2,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9038]) ).

cnf(c_0_9039_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9039]) ).

cnf(c_0_9039_1,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9039]) ).

cnf(c_0_9039_2,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9039]) ).

cnf(c_0_9039_3,axiom,
    ( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9039]) ).

cnf(c_0_9040_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9040_1,axiom,
    ( c_lessequals(c_0,X3,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9040_2,axiom,
    ( ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9040_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9040_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9040_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9040]) ).

cnf(c_0_9041_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9041_1,axiom,
    ( c_lessequals(X3,c_0,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9041_2,axiom,
    ( ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9041_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9041_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9041_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9041]) ).

cnf(c_0_9042_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9042_1,axiom,
    ( c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9042_2,axiom,
    ( ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9042_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9042_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9042_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9042]) ).

cnf(c_0_9043_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9043_1,axiom,
    ( c_less(X3,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9043_2,axiom,
    ( ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9043_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9043_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9043_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | c_less(X3,c_0,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9043]) ).

cnf(c_0_9044_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9044_1,axiom,
    ( c_lessequals(X3,c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9044_2,axiom,
    ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9044_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9044_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9044_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(X3,c_0,X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9044]) ).

cnf(c_0_9045_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9045_1,axiom,
    ( c_lessequals(c_0,X3,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9045_2,axiom,
    ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9045_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9045_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9045_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_lessequals(c_0,X3,X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9045]) ).

cnf(c_0_9046_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9046_1,axiom,
    ( c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9046_2,axiom,
    ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9046_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9046_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9046_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(X3,c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9046]) ).

cnf(c_0_9047_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9047_1,axiom,
    ( c_less(c_0,X3,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9047_2,axiom,
    ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,X3,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9047_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,X3,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9047_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,X3,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9047_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | c_less(c_0,X3,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9047]) ).

cnf(c_0_9048_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9048]) ).

cnf(c_0_9048_1,axiom,
    ( ~ c_lessequals(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9048]) ).

cnf(c_0_9048_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9048]) ).

cnf(c_0_9049_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9049]) ).

cnf(c_0_9049_1,axiom,
    ( ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9049]) ).

cnf(c_0_9049_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9049]) ).

cnf(c_0_9050_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9050]) ).

cnf(c_0_9050_1,axiom,
    ( ~ c_less(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9050]) ).

cnf(c_0_9050_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_less(c_plus(X4,X1,X3),c_plus(X4,X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9050]) ).

cnf(c_0_9051_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9051]) ).

cnf(c_0_9051_1,axiom,
    ( ~ c_less(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9051]) ).

cnf(c_0_9051_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_less(c_plus(X1,X4,X3),c_plus(X2,X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9051]) ).

cnf(c_0_9052_0,axiom,
    ( c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_lessequals(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_3,axiom,
    ( ~ c_lessequals(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9052_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_lessequals(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9052]) ).

cnf(c_0_9053_0,axiom,
    ( c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ c_less(c_0,X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_3,axiom,
    ( ~ c_less(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9053_6,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X4,X3)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
    | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
    | c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9053]) ).

cnf(c_0_9054_0,axiom,
    ( c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ c_lessequals(X1,c_0,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_3,axiom,
    ( ~ c_lessequals(X1,c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4)
    | ~ class_Numeral_Onumber(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9054_6,axiom,
    ( ~ class_Numeral_Onumber(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ c_lessequals(X1,c_0,X4)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X4),X4)
    | c_less(c_Numeral_Onumber__of(X3,X4),c_0,X4)
    | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9054]) ).

cnf(c_0_9055_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_2,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_3,axiom,
    ( ~ c_less(X3,c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_5,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9055_6,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9055]) ).

cnf(c_0_9056_0,axiom,
    ( c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9056]) ).

cnf(c_0_9056_1,axiom,
    ( ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9056]) ).

cnf(c_0_9056_2,axiom,
    ( ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9056]) ).

cnf(c_0_9057_0,axiom,
    ( c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9057]) ).

cnf(c_0_9057_1,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9057]) ).

cnf(c_0_9057_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9057]) ).

cnf(c_0_9057_3,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9057]) ).

cnf(c_0_9058_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9058]) ).

cnf(c_0_9058_1,axiom,
    ( ~ c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9058]) ).

cnf(c_0_9059_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9059]) ).

cnf(c_0_9059_1,axiom,
    ( ~ c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9059]) ).

cnf(c_0_9060_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9060]) ).

cnf(c_0_9060_1,axiom,
    ( ~ c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9060]) ).

cnf(c_0_9061_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9061]) ).

cnf(c_0_9061_1,axiom,
    ( ~ c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9061]) ).

cnf(c_0_9062_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9062]) ).

cnf(c_0_9062_1,axiom,
    ( ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9062]) ).

cnf(c_0_9063_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9063]) ).

cnf(c_0_9063_1,axiom,
    ( ~ c_less(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9063]) ).

cnf(c_0_9064_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9064_1,axiom,
    ( c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9064_2,axiom,
    ( ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9064_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9064_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9064_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9064]) ).

cnf(c_0_9065_0,axiom,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9065_1,axiom,
    ( c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9065_2,axiom,
    ( ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9065_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9065_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9065_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9065]) ).

cnf(c_0_9066_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9066_1,axiom,
    ( c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9066_2,axiom,
    ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9066_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9066_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9066_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9066]) ).

cnf(c_0_9067_0,axiom,
    ( c_less(c_0,X1,X2)
    | c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9067_1,axiom,
    ( c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9067_2,axiom,
    ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9067_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9067_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9067_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
    | c_less(X1,c_0,X2)
    | c_less(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9067]) ).

cnf(c_0_9068_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_9068]) ).

cnf(c_0_9068_1,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X1,X2,X6)
    | c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9068]) ).

cnf(c_0_9069_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9069]) ).

cnf(c_0_9069_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9069]) ).

cnf(c_0_9069_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9069]) ).

cnf(c_0_9070_0,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9070]) ).

cnf(c_0_9070_1,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X2,X5,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9070]) ).

cnf(c_0_9070_2,axiom,
    ( ~ c_lessequals(X2,X5,X3)
    | ~ c_lessequals(X4,X1,X3)
    | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9070]) ).

cnf(c_0_9070_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ c_lessequals(X4,X1,X3)
    | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9070]) ).

cnf(c_0_9071_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9071]) ).

cnf(c_0_9071_1,axiom,
    ( ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_9071]) ).

cnf(c_0_9072_0,axiom,
    ( c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9072]) ).

cnf(c_0_9072_1,axiom,
    ( ~ c_lessequals(X2,X4,tc_nat)
    | c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_less(c_1,X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9072]) ).

cnf(c_0_9072_2,axiom,
    ( ~ c_less(c_1,X1,X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9072]) ).

cnf(c_0_9072_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_less(c_1,X1,X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9072]) ).

cnf(c_0_9072_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_less(c_1,X1,X3)
    | ~ c_lessequals(X2,X4,tc_nat)
    | c_lessequals(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9072]) ).

cnf(c_0_9073_0,axiom,
    ( c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_less(c_1,X1,X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9073]) ).

cnf(c_0_9073_1,axiom,
    ( ~ c_less(c_1,X1,X3)
    | c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9073]) ).

cnf(c_0_9073_2,axiom,
    ( ~ c_less(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9073]) ).

cnf(c_0_9073_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9073]) ).

cnf(c_0_9073_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_less(X2,X4,tc_nat)
    | ~ c_less(c_1,X1,X3)
    | c_less(c_Nat_Opower(X1,X2,X3),c_Nat_Opower(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9073]) ).

cnf(c_0_9074_0,axiom,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9074]) ).

cnf(c_0_9074_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9074]) ).

cnf(c_0_9075_0,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9075]) ).

cnf(c_0_9075_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9075]) ).

cnf(c_0_9075_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9075]) ).

cnf(c_0_9075_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9075]) ).

cnf(c_0_9076_0,axiom,
    ( c_List_Otake(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(X2,c_plus(X2,X1,tc_nat))
    | ~ c_lessequals(c_plus(X2,X1,tc_nat),X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9076]) ).

cnf(c_0_9076_1,axiom,
    ( ~ c_lessequals(c_plus(X2,X1,tc_nat),X3,tc_nat)
    | c_List_Otake(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(X2,c_plus(X2,X1,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_9076]) ).

cnf(c_0_9077_0,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9077_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9077_2,axiom,
    ( ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9077_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9077_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9077_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9077]) ).

cnf(c_0_9078_0,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9078_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9078_2,axiom,
    ( ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9078_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9078_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9078_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9078]) ).

cnf(c_0_9079_0,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9079_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9079_2,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9079_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9079_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9079_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9079]) ).

cnf(c_0_9080_0,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9080_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9080_2,axiom,
    ( ~ c_less(c_0,X3,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9080_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9080_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9080_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9080]) ).

cnf(c_0_9081_0,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9081_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9081_2,axiom,
    ( ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9081_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9081_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9081_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9081]) ).

cnf(c_0_9082_0,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9082_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9082_2,axiom,
    ( ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9082_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9082_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9082_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X3,c_0,X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9082]) ).

cnf(c_0_9083_0,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9083_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9083_2,axiom,
    ( ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9083_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9083_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9083_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9083]) ).

cnf(c_0_9084_0,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9084_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9084_2,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9084_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9084_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9084_5,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X2),X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9084]) ).

cnf(c_0_9085_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9085_1,axiom,
    ( c_less(c_0,X2,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9085_2,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_less(c_0,X2,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9085_3,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_less(c_0,X2,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9085_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_less(c_0,X2,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9085_5,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_less(c_0,X2,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9085]) ).

cnf(c_0_9086_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9086]) ).

cnf(c_0_9086_1,axiom,
    ( c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9086]) ).

cnf(c_0_9086_2,axiom,
    ( ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9086]) ).

cnf(c_0_9086_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9086]) ).

cnf(c_0_9086_4,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X3,X2),X3,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9086]) ).

cnf(c_0_9087_0,axiom,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9087]) ).

cnf(c_0_9087_1,axiom,
    ( c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9087]) ).

cnf(c_0_9087_2,axiom,
    ( ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9087]) ).

cnf(c_0_9087_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9087]) ).

cnf(c_0_9087_4,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_less(c_Main_OMax__less__iff__1(X1,X3,X2),X3,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9087]) ).

cnf(c_0_9088_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9088]) ).

cnf(c_0_9088_1,axiom,
    ( c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9088]) ).

cnf(c_0_9088_2,axiom,
    ( ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9088]) ).

cnf(c_0_9088_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9088]) ).

cnf(c_0_9088_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X3),X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9088]) ).

cnf(c_0_9089_0,axiom,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9089]) ).

cnf(c_0_9089_1,axiom,
    ( c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9089]) ).

cnf(c_0_9089_2,axiom,
    ( ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9089]) ).

cnf(c_0_9089_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9089]) ).

cnf(c_0_9089_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X3),X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9089]) ).

cnf(c_0_9090_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9090]) ).

cnf(c_0_9090_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9090]) ).

cnf(c_0_9090_2,axiom,
    ( ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9090]) ).

cnf(c_0_9090_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9090]) ).

cnf(c_0_9090_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9090]) ).

cnf(c_0_9091_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9091]) ).

cnf(c_0_9091_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9091]) ).

cnf(c_0_9091_2,axiom,
    ( ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9091]) ).

cnf(c_0_9091_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9091]) ).

cnf(c_0_9091_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),X2)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9091]) ).

cnf(c_0_9092_0,axiom,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9092]) ).

cnf(c_0_9092_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9092]) ).

cnf(c_0_9092_2,axiom,
    ( ~ c_less(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9092]) ).

cnf(c_0_9093_0,axiom,
    ( c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9093]) ).

cnf(c_0_9093_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9093]) ).

cnf(c_0_9093_2,axiom,
    ( ~ c_less(X1,X3,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9093]) ).

cnf(c_0_9094_0,axiom,
    ( c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9094]) ).

cnf(c_0_9094_1,axiom,
    ( ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2))
    | c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9094]) ).

cnf(c_0_9095_0,axiom,
    ( c_minus(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X1,X4,X3),tc_set(X3)) = c_SetInterval_OatLeastLessThan(X4,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9095]) ).

cnf(c_0_9095_1,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | c_minus(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X1,X4,X3),tc_set(X3)) = c_SetInterval_OatLeastLessThan(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9095]) ).

cnf(c_0_9095_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_minus(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X1,X4,X3),tc_set(X3)) = c_SetInterval_OatLeastLessThan(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9095]) ).

cnf(c_0_9096_0,axiom,
    ( c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9096]) ).

cnf(c_0_9096_1,axiom,
    ( ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9096]) ).

cnf(c_0_9096_2,axiom,
    ( ~ c_in(X1,X4,X3)
    | ~ c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9096]) ).

cnf(c_0_9097_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9097]) ).

cnf(c_0_9097_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9097]) ).

cnf(c_0_9097_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9097]) ).

cnf(c_0_9097_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9097]) ).

cnf(c_0_9098_0,axiom,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9098]) ).

cnf(c_0_9098_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X3,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9098]) ).

cnf(c_0_9099_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9099]) ).

cnf(c_0_9099_1,axiom,
    ( ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9099]) ).

cnf(c_0_9099_2,axiom,
    ( ~ c_less(X1,c_0,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9099]) ).

cnf(c_0_9099_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9099]) ).

cnf(c_0_9099_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_lessequals(c_divide(X2,X1,X3),c_1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9099]) ).

cnf(c_0_9100_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9100]) ).

cnf(c_0_9100_1,axiom,
    ( ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9100]) ).

cnf(c_0_9100_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9100]) ).

cnf(c_0_9100_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9100]) ).

cnf(c_0_9100_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9100]) ).

cnf(c_0_9101_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9101]) ).

cnf(c_0_9101_1,axiom,
    ( ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9101]) ).

cnf(c_0_9101_2,axiom,
    ( ~ c_less(X1,c_0,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9101]) ).

cnf(c_0_9101_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9101]) ).

cnf(c_0_9101_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_less(c_divide(X2,X1,X3),c_1,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9101]) ).

cnf(c_0_9102_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9102]) ).

cnf(c_0_9102_1,axiom,
    ( ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9102]) ).

cnf(c_0_9102_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9102]) ).

cnf(c_0_9102_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9102]) ).

cnf(c_0_9102_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_divide(X1,X2,X3),c_1,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9102]) ).

cnf(c_0_9103_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9103]) ).

cnf(c_0_9103_1,axiom,
    ( ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9103]) ).

cnf(c_0_9103_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9103]) ).

cnf(c_0_9103_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9103]) ).

cnf(c_0_9103_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9103]) ).

cnf(c_0_9104_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9104]) ).

cnf(c_0_9104_1,axiom,
    ( ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9104]) ).

cnf(c_0_9104_2,axiom,
    ( ~ c_less(c_0,X1,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9104]) ).

cnf(c_0_9104_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9104]) ).

cnf(c_0_9104_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_lessequals(c_1,c_divide(X2,X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9104]) ).

cnf(c_0_9105_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9105]) ).

cnf(c_0_9105_1,axiom,
    ( ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9105]) ).

cnf(c_0_9105_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9105]) ).

cnf(c_0_9105_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9105]) ).

cnf(c_0_9105_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(c_1,c_divide(X1,X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9105]) ).

cnf(c_0_9106_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9106]) ).

cnf(c_0_9106_1,axiom,
    ( ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9106]) ).

cnf(c_0_9106_2,axiom,
    ( ~ c_less(c_0,X1,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9106]) ).

cnf(c_0_9106_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9106]) ).

cnf(c_0_9106_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_less(c_1,c_divide(X2,X1,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9106]) ).

cnf(c_0_9107_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_minus(X3,c_Numeral_Onumber__of(X4,X2),X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X4)),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9107]) ).

cnf(c_0_9107_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_plus(c_Numeral_Onumber__of(X1,X2),c_minus(X3,c_Numeral_Onumber__of(X4,X2),X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X4)),X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9107]) ).

cnf(c_0_9108_0,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9108]) ).

cnf(c_0_9108_1,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9108]) ).

cnf(c_0_9109_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9109]) ).

cnf(c_0_9109_1,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9109]) ).

cnf(c_0_9109_2,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9109]) ).

cnf(c_0_9109_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9109]) ).

cnf(c_0_9109_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9109]) ).

cnf(c_0_9110_0,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9110]) ).

cnf(c_0_9110_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9110]) ).

cnf(c_0_9110_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9110]) ).

cnf(c_0_9110_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9110]) ).

cnf(c_0_9111_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9111]) ).

cnf(c_0_9111_1,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9111]) ).

cnf(c_0_9112_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = c_List_Onth(X3,c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9112]) ).

cnf(c_0_9112_1,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = c_List_Onth(X3,c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9112]) ).

cnf(c_0_9113_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,c_0,X2)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9113]) ).

cnf(c_0_9113_1,axiom,
    ( c_less(c_0,c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9113]) ).

cnf(c_0_9113_2,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_less(c_0,c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9113]) ).

cnf(c_0_9113_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_less(c_0,c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9113]) ).

cnf(c_0_9113_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
    | c_less(c_0,c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9113]) ).

cnf(c_0_9114_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9114]) ).

cnf(c_0_9114_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9114]) ).

cnf(c_0_9114_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9114]) ).

cnf(c_0_9114_3,axiom,
    ( ~ c_less(c_0,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9114]) ).

cnf(c_0_9114_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9114]) ).

cnf(c_0_9115_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9115]) ).

cnf(c_0_9115_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9115]) ).

cnf(c_0_9115_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9115]) ).

cnf(c_0_9115_3,axiom,
    ( ~ c_less(X1,c_0,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9115]) ).

cnf(c_0_9115_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9115]) ).

cnf(c_0_9116_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9116]) ).

cnf(c_0_9116_1,axiom,
    ( ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9116]) ).

cnf(c_0_9116_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9116]) ).

cnf(c_0_9116_3,axiom,
    ( ~ c_less(c_0,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9116]) ).

cnf(c_0_9116_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9116]) ).

cnf(c_0_9117_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9117]) ).

cnf(c_0_9117_1,axiom,
    ( ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9117]) ).

cnf(c_0_9117_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9117]) ).

cnf(c_0_9117_3,axiom,
    ( ~ c_less(X1,c_0,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9117]) ).

cnf(c_0_9117_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,c_0,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(c_HOL_Oinverse(X2,X3),c_HOL_Oinverse(X1,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9117]) ).

cnf(c_0_9118_0,axiom,
    ( c_plus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9118]) ).

cnf(c_0_9118_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_plus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9118]) ).

cnf(c_0_9119_0,axiom,
    ( c_plus(X1,c_minus(X2,X3,tc_nat),tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9119]) ).

cnf(c_0_9119_1,axiom,
    ( ~ c_lessequals(X3,X2,tc_nat)
    | c_plus(X1,c_minus(X2,X3,tc_nat),tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9119]) ).

cnf(c_0_9120_0,axiom,
    ( c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat) = c_minus(X1,c_minus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9120]) ).

cnf(c_0_9120_1,axiom,
    ( ~ c_lessequals(X3,X2,tc_nat)
    | c_minus(c_plus(X1,X3,tc_nat),X2,tc_nat) = c_minus(X1,c_minus(X2,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9120]) ).

cnf(c_0_9121_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9121]) ).

cnf(c_0_9121_1,axiom,
    ( ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | X1 = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9121]) ).

cnf(c_0_9121_2,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9121]) ).

cnf(c_0_9121_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | X1 = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9121]) ).

cnf(c_0_9121_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9121]) ).

cnf(c_0_9122_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9122]) ).

cnf(c_0_9122_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9122]) ).

cnf(c_0_9123_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) = c_div(X1,X3,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9123]) ).

cnf(c_0_9123_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_div(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) = c_div(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9123]) ).

cnf(c_0_9124_0,axiom,
    ( ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9124]) ).

cnf(c_0_9124_1,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9124]) ).

cnf(c_0_9124_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9124]) ).

cnf(c_0_9124_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9124]) ).

cnf(c_0_9125_0,axiom,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_9125]) ).

cnf(c_0_9125_1,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9125]) ).

cnf(c_0_9126_0,axiom,
    ( X1 = c_0
    | c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9126]) ).

cnf(c_0_9126_1,axiom,
    ( c_lessequals(X1,c_0,X2)
    | X1 = c_0
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9126]) ).

cnf(c_0_9126_2,axiom,
    ( ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9126]) ).

cnf(c_0_9126_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | X1 = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9126]) ).

cnf(c_0_9126_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9126]) ).

cnf(c_0_9127_0,axiom,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9127]) ).

cnf(c_0_9127_1,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9127]) ).

cnf(c_0_9127_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9127]) ).

cnf(c_0_9128_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_9128]) ).

cnf(c_0_9128_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9128]) ).

cnf(c_0_9129_0,axiom,
    ( c_List_Olist__update(X1,X2,X3,X4) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X4)),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9129]) ).

cnf(c_0_9129_1,axiom,
    ( ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X4)),X2,tc_nat)
    | c_List_Olist__update(X1,X2,X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9129]) ).

cnf(c_0_9130_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9130]) ).

cnf(c_0_9130_1,axiom,
    ( ~ c_in(c_List_Olist_OCons(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9130]) ).

cnf(c_0_9131_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9131]) ).

cnf(c_0_9131_1,axiom,
    ( ~ c_in(c_append(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9131]) ).

cnf(c_0_9132_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9132]) ).

cnf(c_0_9132_1,axiom,
    ( ~ c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9132]) ).

cnf(c_0_9133_0,axiom,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9133]) ).

cnf(c_0_9133_1,axiom,
    ( ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9133]) ).

cnf(c_0_9133_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9133]) ).

cnf(c_0_9133_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2),c_0,X2)
    | c_less(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9133]) ).

cnf(c_0_9134_0,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9134]) ).

cnf(c_0_9134_1,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9134]) ).

cnf(c_0_9135_0,axiom,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9135]) ).

cnf(c_0_9135_1,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9135]) ).

cnf(c_0_9135_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9135]) ).

cnf(c_0_9136_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9136]) ).

cnf(c_0_9136_1,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent))
    | c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9136]) ).

cnf(c_0_9137_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X3)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9137]) ).

cnf(c_0_9137_1,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent))
    | c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9137]) ).

cnf(c_0_9138_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9138]) ).

cnf(c_0_9138_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9138]) ).

cnf(c_0_9138_2,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
    | c_less(c_0,X2,tc_nat)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9138]) ).

cnf(c_0_9139_0,axiom,
    ( c_List_Onth(c_List_Oupt(X1,X2),X3,tc_nat) = c_plus(X1,X3,tc_nat)
    | ~ c_less(c_plus(X1,X3,tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9139]) ).

cnf(c_0_9139_1,axiom,
    ( ~ c_less(c_plus(X1,X3,tc_nat),X2,tc_nat)
    | c_List_Onth(c_List_Oupt(X1,X2),X3,tc_nat) = c_plus(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9139]) ).

cnf(c_0_9140_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_plus(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9140]) ).

cnf(c_0_9140_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_plus(c_Numeral_Onumber__of(X1,X2),c_plus(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9140]) ).

cnf(c_0_9141_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2),X4,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9141]) ).

cnf(c_0_9141_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_times(c_Numeral_Onumber__of(X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X4,X2),X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9141]) ).

cnf(c_0_9142_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9142_1,axiom,
    ( c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9142_2,axiom,
    ( ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9142_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9142_4,axiom,
    ( ~ c_in(X2,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9142_5,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_in(X2,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9142]) ).

cnf(c_0_9143_0,axiom,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9143_1,axiom,
    ( c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9143_2,axiom,
    ( ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9143_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X2,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9143_4,axiom,
    ( ~ c_in(X2,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9143_5,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_in(X2,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(c_Finite__Set_OMax(X1,X4),X3,X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9143]) ).

cnf(c_0_9144_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(X2,X3,X4)
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9144_1,axiom,
    ( c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9144_2,axiom,
    ( ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9144_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9144_4,axiom,
    ( ~ c_in(X3,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9144_5,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_in(X3,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_lessequals(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_lessequals(X2,X3,X4)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9144]) ).

cnf(c_0_9145_0,axiom,
    ( X1 = c_emptyset
    | c_less(X2,X3,X4)
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9145_1,axiom,
    ( c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9145_2,axiom,
    ( ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9145_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ c_in(X3,X1,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9145_4,axiom,
    ( ~ c_in(X3,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9145_5,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_in(X3,X1,X4)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_less(X2,c_Finite__Set_OMin(X1,X4),X4)
    | c_less(X2,X3,X4)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9145]) ).

cnf(c_0_9146_0,axiom,
    ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9146]) ).

cnf(c_0_9146_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9146]) ).

cnf(c_0_9146_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9146]) ).

cnf(c_0_9147_0,axiom,
    ( c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9147]) ).

cnf(c_0_9147_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9147]) ).

cnf(c_0_9147_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9147]) ).

cnf(c_0_9147_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9147]) ).

cnf(c_0_9148_0,axiom,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9148]) ).

cnf(c_0_9148_1,axiom,
    ( ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9148]) ).

cnf(c_0_9148_2,axiom,
    ( ~ c_less(c_0,X1,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9148]) ).

cnf(c_0_9148_3,axiom,
    ( ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9148]) ).

cnf(c_0_9148_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9148]) ).

cnf(c_0_9149_0,axiom,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9149]) ).

cnf(c_0_9149_1,axiom,
    ( ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9149]) ).

cnf(c_0_9149_2,axiom,
    ( ~ c_less(X1,c_0,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9149]) ).

cnf(c_0_9149_3,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9149]) ).

cnf(c_0_9149_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9149]) ).

cnf(c_0_9150_0,axiom,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9150]) ).

cnf(c_0_9150_1,axiom,
    ( ~ c_less(c_0,X1,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9150]) ).

cnf(c_0_9150_2,axiom,
    ( ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9150]) ).

cnf(c_0_9150_3,axiom,
    ( ~ c_less(X3,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9150]) ).

cnf(c_0_9150_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,X1,X2)
    | ~ c_less(c_0,X3,X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9150]) ).

cnf(c_0_9151_0,axiom,
    ( c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9151]) ).

cnf(c_0_9151_1,axiom,
    ( ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9151]) ).

cnf(c_0_9151_2,axiom,
    ( ~ c_less(X3,c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9151]) ).

cnf(c_0_9151_3,axiom,
    ( ~ c_less(X3,X1,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9151]) ).

cnf(c_0_9151_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X3,X1,X2)
    | ~ c_less(X3,c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9151]) ).

cnf(c_0_9152_0,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9152]) ).

cnf(c_0_9152_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9152]) ).

cnf(c_0_9152_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X3),c_SetInterval_OatLeastLessThan(X4,X5,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9152]) ).

cnf(c_0_9153_0,axiom,
    ( c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2)
    | ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9153]) ).

cnf(c_0_9153_1,axiom,
    ( ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2))
    | c_insert(X1,c_emptyset,X2) = c_insert(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9153]) ).

cnf(c_0_9154_0,axiom,
    ( c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3)
    | ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9154]) ).

cnf(c_0_9154_1,axiom,
    ( ~ c_lessequals(X2,c_insert(X1,c_emptyset,X3),tc_set(X3))
    | c_insert(X1,X2,X3) = c_insert(X1,c_emptyset,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9154]) ).

cnf(c_0_9155_0,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9155]) ).

cnf(c_0_9155_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9155]) ).

cnf(c_0_9155_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9155]) ).

cnf(c_0_9155_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9155]) ).

cnf(c_0_9156_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,c_union(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9156]) ).

cnf(c_0_9156_1,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,X2,X3)
    | ~ c_in(X1,c_union(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9156]) ).

cnf(c_0_9156_2,axiom,
    ( ~ c_in(X1,c_union(X2,X4,X3),X3)
    | c_in(X1,X4,X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9156]) ).

cnf(c_0_9157_0,axiom,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(literals_permutation,[status(thm)],[c_0_9157]) ).

cnf(c_0_9157_1,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9157]) ).

cnf(c_0_9158_0,axiom,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9158]) ).

cnf(c_0_9158_1,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | c_lessequals(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9158]) ).

cnf(c_0_9158_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X2,X4,X3)
    | c_lessequals(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9158]) ).

cnf(c_0_9159_0,axiom,
    ( c_lessequals(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9159]) ).

cnf(c_0_9159_1,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9159]) ).

cnf(c_0_9159_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9159]) ).

cnf(c_0_9160_0,axiom,
    ( c_less(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9160]) ).

cnf(c_0_9160_1,axiom,
    ( ~ c_less(X2,X4,X3)
    | c_less(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9160]) ).

cnf(c_0_9160_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_less(X2,X4,X3)
    | c_less(c_plus(X1,X2,X3),c_plus(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9160]) ).

cnf(c_0_9161_0,axiom,
    ( c_less(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ c_less(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9161]) ).

cnf(c_0_9161_1,axiom,
    ( ~ c_less(X1,X4,X3)
    | c_less(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9161]) ).

cnf(c_0_9161_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_plus(X1,X2,X3),c_plus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9161]) ).

cnf(c_0_9162_0,axiom,
    ( ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9162]) ).

cnf(c_0_9162_1,axiom,
    ( ~ c_in(X1,X3,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9162]) ).

cnf(c_0_9163_0,axiom,
    ( c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4))
    | ~ c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,X3,tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9163]) ).

cnf(c_0_9163_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X4))
    | c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4))
    | ~ c_lessequals(X1,X3,tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9163]) ).

cnf(c_0_9163_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_set(X4))
    | ~ c_lessequals(X1,X2,tc_set(X4))
    | c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9163]) ).

cnf(c_0_9164_0,axiom,
    ( c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9164]) ).

cnf(c_0_9164_1,axiom,
    ( ~ c_lessequals(X1,X4,tc_set(X3))
    | c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9164]) ).

cnf(c_0_9164_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3))
    | c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9164]) ).

cnf(c_0_9165_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9165]) ).

cnf(c_0_9165_1,axiom,
    ( ~ c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9165]) ).

cnf(c_0_9166_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9166]) ).

cnf(c_0_9166_1,axiom,
    ( ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9166]) ).

cnf(c_0_9166_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9166]) ).

cnf(c_0_9166_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9166]) ).

cnf(c_0_9167_0,axiom,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9167]) ).

cnf(c_0_9167_1,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9167]) ).

cnf(c_0_9167_2,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9167]) ).

cnf(c_0_9168_0,axiom,
    ( c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9168]) ).

cnf(c_0_9168_1,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9168]) ).

cnf(c_0_9168_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9168]) ).

cnf(c_0_9169_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_lessequals(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9169_1,axiom,
    ( c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_lessequals(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9169_2,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_lessequals(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9169_3,axiom,
    ( ~ c_lessequals(X2,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9169_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(X2,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9169_5,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(X2,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3),c_0,X3)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9169]) ).

cnf(c_0_9170_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9170]) ).

cnf(c_0_9170_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9170]) ).

cnf(c_0_9170_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9170]) ).

cnf(c_0_9171_0,axiom,
    ( c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | ~ c_lessequals(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9171]) ).

cnf(c_0_9171_1,axiom,
    ( ~ c_lessequals(X2,X4,tc_set(X3))
    | c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9171]) ).

cnf(c_0_9171_2,axiom,
    ( ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3))
    | c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9171]) ).

cnf(c_0_9172_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Power_Orecpower(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9172]) ).

cnf(c_0_9172_1,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9172]) ).

cnf(c_0_9172_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2) = c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9172]) ).

cnf(c_0_9173_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9173]) ).

cnf(c_0_9173_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9173]) ).

cnf(c_0_9173_2,axiom,
    ( ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9173]) ).

cnf(c_0_9174_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9174]) ).

cnf(c_0_9174_1,axiom,
    ( c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9174]) ).

cnf(c_0_9174_2,axiom,
    ( c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9174]) ).

cnf(c_0_9174_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9174]) ).

cnf(c_0_9174_4,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_OMax__le__iff__1(X1,X3,X2),X1,X2)
    | c_lessequals(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9174]) ).

cnf(c_0_9175_0,axiom,
    ( X1 = c_emptyset
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9175]) ).

cnf(c_0_9175_1,axiom,
    ( c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9175]) ).

cnf(c_0_9175_2,axiom,
    ( c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9175]) ).

cnf(c_0_9175_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9175]) ).

cnf(c_0_9175_4,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_OMax__less__iff__1(X1,X3,X2),X1,X2)
    | c_less(c_Finite__Set_OMax(X1,X2),X3,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9175]) ).

cnf(c_0_9176_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9176]) ).

cnf(c_0_9176_1,axiom,
    ( c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9176]) ).

cnf(c_0_9176_2,axiom,
    ( c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9176]) ).

cnf(c_0_9176_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9176]) ).

cnf(c_0_9176_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_Main_OMin__ge__iff__1(X1,X2,X3),X1,X3)
    | c_lessequals(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9176]) ).

cnf(c_0_9177_0,axiom,
    ( X1 = c_emptyset
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9177]) ).

cnf(c_0_9177_1,axiom,
    ( c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9177]) ).

cnf(c_0_9177_2,axiom,
    ( c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9177]) ).

cnf(c_0_9177_3,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9177]) ).

cnf(c_0_9177_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_Main_OMin__gr__iff__1(X1,X2,X3),X1,X3)
    | c_less(X2,c_Finite__Set_OMin(X1,X3),X3)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9177]) ).

cnf(c_0_9178_0,axiom,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9178]) ).

cnf(c_0_9178_1,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9178]) ).

cnf(c_0_9179_0,axiom,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9179]) ).

cnf(c_0_9179_1,axiom,
    ( ~ c_lessequals(X1,X3,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9179]) ).

cnf(c_0_9180_0,axiom,
    ( c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9180]) ).

cnf(c_0_9180_1,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9180]) ).

cnf(c_0_9181_0,axiom,
    ( c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_less(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9181]) ).

cnf(c_0_9181_1,axiom,
    ( ~ c_less(X2,X3,tc_nat)
    | c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9181]) ).

cnf(c_0_9182_0,axiom,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9182]) ).

cnf(c_0_9182_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9182]) ).

cnf(c_0_9182_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9182]) ).

cnf(c_0_9182_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9182]) ).

cnf(c_0_9182_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9182]) ).

cnf(c_0_9183_0,axiom,
    ( c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9183]) ).

cnf(c_0_9183_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9183]) ).

cnf(c_0_9183_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9183]) ).

cnf(c_0_9183_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9183]) ).

cnf(c_0_9183_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_divide(X1,X2,X3),c_1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9183]) ).

cnf(c_0_9184_0,axiom,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9184]) ).

cnf(c_0_9184_1,axiom,
    ( ~ c_less(X2,c_0,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9184]) ).

cnf(c_0_9184_2,axiom,
    ( ~ c_less(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9184]) ).

cnf(c_0_9184_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9184]) ).

cnf(c_0_9184_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,X1,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9184]) ).

cnf(c_0_9185_0,axiom,
    ( c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9185]) ).

cnf(c_0_9185_1,axiom,
    ( ~ c_less(c_0,X2,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9185]) ).

cnf(c_0_9185_2,axiom,
    ( ~ c_less(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9185]) ).

cnf(c_0_9185_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9185]) ).

cnf(c_0_9185_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,X2,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_divide(X1,X2,X3),c_1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9185]) ).

cnf(c_0_9186_0,axiom,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9186]) ).

cnf(c_0_9186_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9186]) ).

cnf(c_0_9186_2,axiom,
    ( ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9186]) ).

cnf(c_0_9186_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9186]) ).

cnf(c_0_9186_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9186]) ).

cnf(c_0_9187_0,axiom,
    ( c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9187]) ).

cnf(c_0_9187_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9187]) ).

cnf(c_0_9187_2,axiom,
    ( ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9187]) ).

cnf(c_0_9187_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9187]) ).

cnf(c_0_9187_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_lessequals(c_1,c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9187]) ).

cnf(c_0_9188_0,axiom,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9188]) ).

cnf(c_0_9188_1,axiom,
    ( ~ c_less(X2,c_0,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9188]) ).

cnf(c_0_9188_2,axiom,
    ( ~ c_less(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9188]) ).

cnf(c_0_9188_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9188]) ).

cnf(c_0_9188_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X1,X2,X3)
    | ~ c_less(X2,c_0,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9188]) ).

cnf(c_0_9189_0,axiom,
    ( c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(c_0,X2,X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9189]) ).

cnf(c_0_9189_1,axiom,
    ( ~ c_less(c_0,X2,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9189]) ).

cnf(c_0_9189_2,axiom,
    ( ~ c_less(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9189]) ).

cnf(c_0_9189_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9189]) ).

cnf(c_0_9189_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_less(X2,X1,X3)
    | ~ c_less(c_0,X2,X3)
    | c_less(c_1,c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9189]) ).

cnf(c_0_9190_0,axiom,
    ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9190]) ).

cnf(c_0_9190_1,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9190]) ).

cnf(c_0_9190_2,axiom,
    ( ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9190]) ).

cnf(c_0_9191_0,axiom,
    ( c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_less(X1,X4,X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9191]) ).

cnf(c_0_9191_1,axiom,
    ( ~ c_less(X1,X4,X3)
    | c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_less(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9191]) ).

cnf(c_0_9191_2,axiom,
    ( ~ c_less(X2,X4,X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9191]) ).

cnf(c_0_9191_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_less(X2,X4,X3)
    | ~ c_less(X1,X4,X3)
    | c_less(c_Orderings_Omax(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9191]) ).

cnf(c_0_9192_0,axiom,
    ( c_less(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_less(X1,X2,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9192]) ).

cnf(c_0_9192_1,axiom,
    ( ~ c_less(X1,X2,X4)
    | c_less(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9192]) ).

cnf(c_0_9192_2,axiom,
    ( ~ c_less(X1,X3,X4)
    | ~ c_less(X1,X2,X4)
    | c_less(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9192]) ).

cnf(c_0_9192_3,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_less(X1,X3,X4)
    | ~ c_less(X1,X2,X4)
    | c_less(X1,c_Orderings_Omin(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9192]) ).

cnf(c_0_9193_0,axiom,
    ( c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9193]) ).

cnf(c_0_9193_1,axiom,
    ( ~ c_lessequals(X1,X2,X4)
    | c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9193]) ).

cnf(c_0_9193_2,axiom,
    ( ~ c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,X2,X4)
    | c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9193]) ).

cnf(c_0_9193_3,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,X2,X4)
    | c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9193]) ).

cnf(c_0_9194_0,axiom,
    ( c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9194]) ).

cnf(c_0_9194_1,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9194]) ).

cnf(c_0_9194_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9194]) ).

cnf(c_0_9194_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X4,X3)
    | c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9194]) ).

cnf(c_0_9195_0,axiom,
    ( c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9195]) ).

cnf(c_0_9195_1,axiom,
    ( ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9195]) ).

cnf(c_0_9195_2,axiom,
    ( ~ c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9195]) ).

cnf(c_0_9195_3,axiom,
    ( ~ class_Orderings_Oord(X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9195]) ).

cnf(c_0_9196_0,axiom,
    ( c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4)
    | ~ c_lessequals(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9196]) ).

cnf(c_0_9196_1,axiom,
    ( ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9196]) ).

cnf(c_0_9196_2,axiom,
    ( ~ c_less(X1,X3,X4)
    | ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9196]) ).

cnf(c_0_9196_3,axiom,
    ( ~ class_Orderings_Oord(X4)
    | ~ c_less(X1,X3,X4)
    | ~ c_lessequals(X2,X1,X4)
    | c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9196]) ).

cnf(c_0_9197_0,axiom,
    ( c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4)
    | ~ c_lessequals(X1,X3,X4)
    | ~ c_less(X2,X1,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9197]) ).

cnf(c_0_9197_1,axiom,
    ( ~ c_lessequals(X1,X3,X4)
    | c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4)
    | ~ c_less(X2,X1,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9197]) ).

cnf(c_0_9197_2,axiom,
    ( ~ c_less(X2,X1,X4)
    | ~ c_lessequals(X1,X3,X4)
    | c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9197]) ).

cnf(c_0_9197_3,axiom,
    ( ~ class_Orderings_Oord(X4)
    | ~ c_less(X2,X1,X4)
    | ~ c_lessequals(X1,X3,X4)
    | c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9197]) ).

cnf(c_0_9198_0,axiom,
    ( c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4)
    | ~ c_less(X2,X1,X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9198]) ).

cnf(c_0_9198_1,axiom,
    ( ~ c_less(X2,X1,X4)
    | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4)
    | ~ c_less(X1,X3,X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9198]) ).

cnf(c_0_9198_2,axiom,
    ( ~ c_less(X1,X3,X4)
    | ~ c_less(X2,X1,X4)
    | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4)
    | ~ class_Orderings_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9198]) ).

cnf(c_0_9198_3,axiom,
    ( ~ class_Orderings_Oord(X4)
    | ~ c_less(X1,X3,X4)
    | ~ c_less(X2,X1,X4)
    | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9198]) ).

cnf(c_0_9199_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9199]) ).

cnf(c_0_9199_1,axiom,
    ( ~ c_in(c_Main_Oin__listsI__1(X2,X1,X3),X2,X3)
    | c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9199]) ).

cnf(c_0_9200_0,axiom,
    ( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9200]) ).

cnf(c_0_9200_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9200]) ).

cnf(c_0_9201_0,axiom,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset
    | ~ c_in(X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9201]) ).

cnf(c_0_9201_1,axiom,
    ( ~ c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9201]) ).

cnf(c_0_9202_0,axiom,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset
    | ~ c_in(X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9202]) ).

cnf(c_0_9202_1,axiom,
    ( ~ c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9202]) ).

cnf(c_0_9203_0,axiom,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9203]) ).

cnf(c_0_9203_1,axiom,
    ( ~ c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9203]) ).

cnf(c_0_9204_0,axiom,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9204]) ).

cnf(c_0_9204_1,axiom,
    ( ~ c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9204]) ).

cnf(c_0_9205_0,axiom,
    ( c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9205]) ).

cnf(c_0_9205_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ c_less(X1,c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9205]) ).

cnf(c_0_9205_2,axiom,
    ( ~ c_less(X1,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9205]) ).

cnf(c_0_9205_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(X1,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9205]) ).

cnf(c_0_9205_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(X1,c_0,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),c_0,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9205]) ).

cnf(c_0_9206_0,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9206]) ).

cnf(c_0_9206_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_lessequals(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9206]) ).

cnf(c_0_9206_2,axiom,
    ( ~ c_lessequals(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9206]) ).

cnf(c_0_9206_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9206]) ).

cnf(c_0_9206_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9206]) ).

cnf(c_0_9207_0,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9207]) ).

cnf(c_0_9207_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_less(c_0,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9207]) ).

cnf(c_0_9207_2,axiom,
    ( ~ c_less(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9207]) ).

cnf(c_0_9207_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9207]) ).

cnf(c_0_9207_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_0,X1,X3)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9207]) ).

cnf(c_0_9208_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9208]) ).

cnf(c_0_9208_1,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9208]) ).

cnf(c_0_9208_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | X1 = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9208]) ).

cnf(c_0_9208_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X2),X1,X2),X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9208]) ).

cnf(c_0_9209_0,axiom,
    ( c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9209]) ).

cnf(c_0_9209_1,axiom,
    ( X1 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9209]) ).

cnf(c_0_9209_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9209]) ).

cnf(c_0_9209_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X1,X4,X3),X3) = c_divide(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9209]) ).

cnf(c_0_9210_0,axiom,
    ( c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3)
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9210]) ).

cnf(c_0_9210_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9210]) ).

cnf(c_0_9210_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9210]) ).

cnf(c_0_9210_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_divide(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) = c_divide(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9210]) ).

cnf(c_0_9211_0,axiom,
    ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2),X2) = c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9211]) ).

cnf(c_0_9211_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2),X2) = c_plus(c_HOL_Oabs(X1,X2),c_HOL_Oabs(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9211]) ).

cnf(c_0_9212_0,axiom,
    ( c_divide(c_divide(X1,X2,X3),X4,X3) = c_divide(X1,c_times(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9212]) ).

cnf(c_0_9212_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(c_divide(X1,X2,X3),X4,X3) = c_divide(X1,c_times(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9212]) ).

cnf(c_0_9212_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(c_divide(X1,X2,X3),X4,X3) = c_divide(X1,c_times(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9212]) ).

cnf(c_0_9213_0,axiom,
    ( c_divide(c_times(X1,X3,X4),X2,X4) = c_divide(X1,c_divide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9213]) ).

cnf(c_0_9213_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(c_times(X1,X3,X4),X2,X4) = c_divide(X1,c_divide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9213]) ).

cnf(c_0_9213_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(c_times(X1,X3,X4),X2,X4) = c_divide(X1,c_divide(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9213]) ).

cnf(c_0_9214_0,axiom,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9214]) ).

cnf(c_0_9214_1,axiom,
    ( ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9214]) ).

cnf(c_0_9214_2,axiom,
    ( ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9214]) ).

cnf(c_0_9214_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_OInts,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9214]) ).

cnf(c_0_9215_0,axiom,
    ( c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9215]) ).

cnf(c_0_9215_1,axiom,
    ( ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9215]) ).

cnf(c_0_9215_2,axiom,
    ( ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9215]) ).

cnf(c_0_9215_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_minus(X1,X2,X3),c_IntDef_OInts,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9215]) ).

cnf(c_0_9216_0,axiom,
    ( c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9216]) ).

cnf(c_0_9216_1,axiom,
    ( ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9216]) ).

cnf(c_0_9216_2,axiom,
    ( ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9216]) ).

cnf(c_0_9216_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_in(X2,c_IntDef_OInts,X3)
    | ~ c_in(X1,c_IntDef_OInts,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_OInts,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9216]) ).

cnf(c_0_9217_0,axiom,
    ( c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9217]) ).

cnf(c_0_9217_1,axiom,
    ( ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9217]) ).

cnf(c_0_9217_2,axiom,
    ( ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9217]) ).

cnf(c_0_9217_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_plus(X1,X2,X3),c_IntDef_ONats,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9217]) ).

cnf(c_0_9218_0,axiom,
    ( c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9218]) ).

cnf(c_0_9218_1,axiom,
    ( ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9218]) ).

cnf(c_0_9218_2,axiom,
    ( ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9218]) ).

cnf(c_0_9218_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3)
    | ~ c_in(X2,c_IntDef_ONats,X3)
    | ~ c_in(X1,c_IntDef_ONats,X3)
    | c_in(c_times(X1,X2,X3),c_IntDef_ONats,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9218]) ).

cnf(c_0_9219_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9219]) ).

cnf(c_0_9219_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9219]) ).

cnf(c_0_9219_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9219]) ).

cnf(c_0_9220_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9220]) ).

cnf(c_0_9220_1,axiom,
    ( ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9220]) ).

cnf(c_0_9220_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9220]) ).

cnf(c_0_9220_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9220]) ).

cnf(c_0_9221_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9221]) ).

cnf(c_0_9221_1,axiom,
    ( ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3)
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9221]) ).

cnf(c_0_9222_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9222]) ).

cnf(c_0_9222_1,axiom,
    ( ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3)
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9222]) ).

cnf(c_0_9223_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9223]) ).

cnf(c_0_9223_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9223]) ).

cnf(c_0_9223_2,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9223]) ).

cnf(c_0_9224_0,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9224]) ).

cnf(c_0_9224_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9224]) ).

cnf(c_0_9224_2,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9224]) ).

cnf(c_0_9225_0,axiom,
    ( c_List_Odistinct(c_append(X1,X2,X3),X3)
    | c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | ~ c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9225]) ).

cnf(c_0_9225_1,axiom,
    ( c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | c_List_Odistinct(c_append(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9225]) ).

cnf(c_0_9225_2,axiom,
    ( ~ c_List_Odistinct(X1,X3)
    | c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | c_List_Odistinct(c_append(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9225]) ).

cnf(c_0_9225_3,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(X1,X3)
    | c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) != c_emptyset
    | c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9225]) ).

cnf(c_0_9226_0,axiom,
    ( c_in(X1,c_inter(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4)
    | ~ c_in(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9226]) ).

cnf(c_0_9226_1,axiom,
    ( ~ c_in(X1,X2,X4)
    | c_in(X1,c_inter(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9226]) ).

cnf(c_0_9226_2,axiom,
    ( ~ c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4)
    | c_in(X1,c_inter(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9226]) ).

cnf(c_0_9227_0,axiom,
    ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9227]) ).

cnf(c_0_9227_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9227]) ).

cnf(c_0_9228_0,axiom,
    ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9228]) ).

cnf(c_0_9228_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9228]) ).

cnf(c_0_9229_0,axiom,
    ( c_minus(c_List_Oset(X2,X3),c_insert(X1,c_emptyset,X3),tc_set(X3)) = c_List_Oset(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9229]) ).

cnf(c_0_9229_1,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_minus(c_List_Oset(X2,X3),c_insert(X1,c_emptyset,X3),tc_set(X3)) = c_List_Oset(c_List_Oremove1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9229]) ).

cnf(c_0_9230_0,axiom,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9230]) ).

cnf(c_0_9230_1,axiom,
    ( c_insert(X2,c_emptyset,X3) != c_insert(X4,X1,X3)
    | c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9230]) ).

cnf(c_0_9231_0,axiom,
    ( c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3))
    | c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9231]) ).

cnf(c_0_9231_1,axiom,
    ( c_insert(X4,X1,X3) != c_insert(X2,c_emptyset,X3)
    | c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9231]) ).

cnf(c_0_9232_0,axiom,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9232]) ).

cnf(c_0_9232_1,axiom,
    ( ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9232]) ).

cnf(c_0_9232_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9232]) ).

cnf(c_0_9233_0,axiom,
    ( c_in(c_List_Onth(X1,X2,X3),c_List_Oset(X1,X3),X3)
    | ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9233]) ).

cnf(c_0_9233_1,axiom,
    ( ~ c_less(X2,c_Nat_Osize(X1,tc_List_Olist(X3)),tc_nat)
    | c_in(c_List_Onth(X1,X2,X3),c_List_Oset(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9233]) ).

cnf(c_0_9234_0,axiom,
    ( c_times(X1,c_divide(X2,X3,X4),X4) = c_divide(c_times(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9234]) ).

cnf(c_0_9234_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_times(X1,c_divide(X2,X3,X4),X4) = c_divide(c_times(X1,X2,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9234]) ).

cnf(c_0_9235_0,axiom,
    ( c_times(c_divide(X1,X2,X3),X4,X3) = c_divide(c_times(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9235]) ).

cnf(c_0_9235_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_times(c_divide(X1,X2,X3),X4,X3) = c_divide(c_times(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9235]) ).

cnf(c_0_9236_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9236]) ).

cnf(c_0_9236_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9236]) ).

cnf(c_0_9236_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9236]) ).

cnf(c_0_9237_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9237]) ).

cnf(c_0_9237_1,axiom,
    ( ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9237]) ).

cnf(c_0_9237_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9237]) ).

cnf(c_0_9237_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9237]) ).

cnf(c_0_9238_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9238]) ).

cnf(c_0_9238_1,axiom,
    ( ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9238]) ).

cnf(c_0_9238_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9238]) ).

cnf(c_0_9238_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X3,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9238]) ).

cnf(c_0_9239_0,axiom,
    ( c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9239]) ).

cnf(c_0_9239_1,axiom,
    ( ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9239]) ).

cnf(c_0_9239_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9239]) ).

cnf(c_0_9239_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9239]) ).

cnf(c_0_9240_0,axiom,
    ( c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9240]) ).

cnf(c_0_9240_1,axiom,
    ( ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9240]) ).

cnf(c_0_9240_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9240]) ).

cnf(c_0_9240_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X3,X2),X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9240]) ).

cnf(c_0_9241_0,axiom,
    ( c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9241]) ).

cnf(c_0_9241_1,axiom,
    ( ~ c_in(X2,c_Relation_Odiag(X1,X3),tc_prod(X3,X3))
    | c_in(c_Main_OdiagE__1(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9241]) ).

cnf(c_0_9242_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9242]) ).

cnf(c_0_9242_1,axiom,
    ( ~ c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9242]) ).

cnf(c_0_9243_0,axiom,
    ( X1 = X2
    | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_9243]) ).

cnf(c_0_9243_1,axiom,
    ( c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | X1 = X2
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_9243]) ).

cnf(c_0_9243_2,axiom,
    ( ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | X1 = X2
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_9243]) ).

cnf(c_0_9243_3,axiom,
    ( ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9243]) ).

cnf(c_0_9244_0,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9244]) ).

cnf(c_0_9244_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9244]) ).

cnf(c_0_9245_0,axiom,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9245]) ).

cnf(c_0_9245_1,axiom,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9245]) ).

cnf(c_0_9246_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X2,X4,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9246]) ).

cnf(c_0_9246_1,axiom,
    ( ~ c_lessequals(X1,c_inter(X2,X4,X3),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9246]) ).

cnf(c_0_9247_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9247]) ).

cnf(c_0_9247_1,axiom,
    ( ~ c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9247]) ).

cnf(c_0_9248_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X4,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9248]) ).

cnf(c_0_9248_1,axiom,
    ( ~ c_lessequals(c_union(X1,X4,X3),X2,tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9248]) ).

cnf(c_0_9249_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9249]) ).

cnf(c_0_9249_1,axiom,
    ( ~ c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9249]) ).

cnf(c_0_9250_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_insert(X4,X1,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9250]) ).

cnf(c_0_9250_1,axiom,
    ( ~ c_lessequals(c_insert(X4,X1,X3),X2,tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9250]) ).

cnf(c_0_9251_0,axiom,
    ( c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9251]) ).

cnf(c_0_9251_1,axiom,
    ( ~ c_lessequals(c_1,X1,tc_nat)
    | c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9251]) ).

cnf(c_0_9251_2,axiom,
    ( ~ c_lessequals(c_1,X2,tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9251]) ).

cnf(c_0_9252_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9252]) ).

cnf(c_0_9252_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9252]) ).

cnf(c_0_9252_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9252]) ).

cnf(c_0_9253_0,axiom,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9253]) ).

cnf(c_0_9253_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9253]) ).

cnf(c_0_9254_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9254]) ).

cnf(c_0_9254_1,axiom,
    ( ~ c_in(c_union(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9254]) ).

cnf(c_0_9255_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9255]) ).

cnf(c_0_9255_1,axiom,
    ( ~ c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9255]) ).

cnf(c_0_9256_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9256]) ).

cnf(c_0_9256_1,axiom,
    ( ~ c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9256]) ).

cnf(c_0_9257_0,axiom,
    ( c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9257]) ).

cnf(c_0_9257_1,axiom,
    ( ~ c_less(c_1,X2,tc_nat)
    | c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9257]) ).

cnf(c_0_9257_2,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat)
    | c_less(c_div(X1,X2,tc_nat),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9257]) ).

cnf(c_0_9258_0,axiom,
    ( c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9258]) ).

cnf(c_0_9258_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9258]) ).

cnf(c_0_9258_2,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | c_less(c_minus(X1,X2,tc_nat),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9258]) ).

cnf(c_0_9259_0,axiom,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9259]) ).

cnf(c_0_9259_1,axiom,
    ( ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9259]) ).

cnf(c_0_9259_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9259]) ).

cnf(c_0_9259_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_less(c_plus(X1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9259]) ).

cnf(c_0_9260_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9260]) ).

cnf(c_0_9260_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | c_in(X1,X2,X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9260]) ).

cnf(c_0_9260_2,axiom,
    ( ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Oset(X4,X3),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9260]) ).

cnf(c_0_9261_0,axiom,
    ( c_less(c_0,c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9261]) ).

cnf(c_0_9261_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9261]) ).

cnf(c_0_9261_2,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9261]) ).

cnf(c_0_9262_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9262]) ).

cnf(c_0_9262_1,axiom,
    ( ~ c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9262]) ).

cnf(c_0_9263_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9263]) ).

cnf(c_0_9263_1,axiom,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9263]) ).

cnf(c_0_9264_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9264]) ).

cnf(c_0_9264_1,axiom,
    ( ~ c_less(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9264]) ).

cnf(c_0_9264_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_less(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9264]) ).

cnf(c_0_9265_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9265]) ).

cnf(c_0_9265_1,axiom,
    ( ~ c_less(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9265]) ).

cnf(c_0_9265_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_less(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9265]) ).

cnf(c_0_9266_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9266]) ).

cnf(c_0_9266_1,axiom,
    ( ~ c_less(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9266]) ).

cnf(c_0_9266_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_less(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9266]) ).

cnf(c_0_9267_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9267]) ).

cnf(c_0_9267_1,axiom,
    ( ~ c_less(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9267]) ).

cnf(c_0_9267_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_less(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9267]) ).

cnf(c_0_9268_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9268]) ).

cnf(c_0_9268_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9268]) ).

cnf(c_0_9268_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X2,X4,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9268]) ).

cnf(c_0_9269_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9269]) ).

cnf(c_0_9269_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9269]) ).

cnf(c_0_9269_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,c_Orderings_Omin(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9269]) ).

cnf(c_0_9270_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9270]) ).

cnf(c_0_9270_1,axiom,
    ( ~ c_lessequals(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9270]) ).

cnf(c_0_9270_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Omax(X1,X4,X3),X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9270]) ).

cnf(c_0_9271_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9271]) ).

cnf(c_0_9271_1,axiom,
    ( ~ c_lessequals(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9271]) ).

cnf(c_0_9271_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Omax(X4,X1,X3),X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9271]) ).

cnf(c_0_9272_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9272]) ).

cnf(c_0_9272_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X4,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9272]) ).

cnf(c_0_9272_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X4,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9272]) ).

cnf(c_0_9273_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9273]) ).

cnf(c_0_9273_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OatLeastAtMost(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9273]) ).

cnf(c_0_9273_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9273]) ).

cnf(c_0_9274_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9274]) ).

cnf(c_0_9274_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X4,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9274]) ).

cnf(c_0_9274_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X4,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9274]) ).

cnf(c_0_9275_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9275]) ).

cnf(c_0_9275_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OatLeastLessThan(X4,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9275]) ).

cnf(c_0_9275_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X4,X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9275]) ).

cnf(c_0_9276_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9276]) ).

cnf(c_0_9276_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9276]) ).

cnf(c_0_9276_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9276]) ).

cnf(c_0_9277_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9277]) ).

cnf(c_0_9277_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9277]) ).

cnf(c_0_9277_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X4,X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9277]) ).

cnf(c_0_9278_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X4,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9278]) ).

cnf(c_0_9278_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X4,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9278]) ).

cnf(c_0_9278_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X4,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9278]) ).

cnf(c_0_9279_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X4,X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9279]) ).

cnf(c_0_9279_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X4,X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9279]) ).

cnf(c_0_9279_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X4,X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9279]) ).

cnf(c_0_9280_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9280]) ).

cnf(c_0_9280_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9280]) ).

cnf(c_0_9280_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9280]) ).

cnf(c_0_9281_0,axiom,
    ( c_minus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_minus(X1,X2,tc_nat),X3)
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9281]) ).

cnf(c_0_9281_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_minus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_minus(X1,X2,tc_nat),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9281]) ).

cnf(c_0_9281_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_lessequals(X2,X1,tc_nat)
    | c_minus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_minus(X1,X2,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9281]) ).

cnf(c_0_9282_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9282]) ).

cnf(c_0_9282_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9282]) ).

cnf(c_0_9283_0,axiom,
    ( c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9283]) ).

cnf(c_0_9283_1,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,c_minus(X2,X3,tc_set(X4)),X4)
    | ~ c_in(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9283]) ).

cnf(c_0_9283_2,axiom,
    ( ~ c_in(X1,X2,X4)
    | c_in(X1,X3,X4)
    | c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9283]) ).

cnf(c_0_9284_0,axiom,
    ( c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9284]) ).

cnf(c_0_9284_1,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9284]) ).

cnf(c_0_9284_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9284]) ).

cnf(c_0_9284_3,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9284]) ).

cnf(c_0_9285_0,axiom,
    ( c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9285]) ).

cnf(c_0_9285_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9285]) ).

cnf(c_0_9285_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9285]) ).

cnf(c_0_9285_3,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_uminus(X1,X3),X3)
    | c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9285]) ).

cnf(c_0_9286_0,axiom,
    ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9286]) ).

cnf(c_0_9286_1,axiom,
    ( ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9286]) ).

cnf(c_0_9286_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9286]) ).

cnf(c_0_9286_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9286]) ).

cnf(c_0_9287_0,axiom,
    ( c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9287]) ).

cnf(c_0_9287_1,axiom,
    ( ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9287]) ).

cnf(c_0_9287_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9287]) ).

cnf(c_0_9287_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
    | c_less(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9287]) ).

cnf(c_0_9288_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9288]) ).

cnf(c_0_9288_1,axiom,
    ( ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9288]) ).

cnf(c_0_9288_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9288]) ).

cnf(c_0_9288_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9288]) ).

cnf(c_0_9289_0,axiom,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9289]) ).

cnf(c_0_9289_1,axiom,
    ( ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9289]) ).

cnf(c_0_9289_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9289]) ).

cnf(c_0_9289_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_divide(c_1,X1,X2),c_0,X2)
    | c_less(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9289]) ).

cnf(c_0_9290_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9290]) ).

cnf(c_0_9290_1,axiom,
    ( ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9290]) ).

cnf(c_0_9290_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9290]) ).

cnf(c_0_9290_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9290]) ).

cnf(c_0_9291_0,axiom,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9291]) ).

cnf(c_0_9291_1,axiom,
    ( ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9291]) ).

cnf(c_0_9291_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9291]) ).

cnf(c_0_9291_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_divide(c_1,X1,X2),X2)
    | c_less(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9291]) ).

cnf(c_0_9292_0,axiom,
    ( c_minus(c_insert(X1,X2,X3),X4,tc_set(X3)) = c_minus(X2,X4,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9292]) ).

cnf(c_0_9292_1,axiom,
    ( ~ c_in(X1,X4,X3)
    | c_minus(c_insert(X1,X2,X3),X4,tc_set(X3)) = c_minus(X2,X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9292]) ).

cnf(c_0_9293_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9293]) ).

cnf(c_0_9293_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9293]) ).

cnf(c_0_9293_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9293]) ).

cnf(c_0_9293_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9293]) ).

cnf(c_0_9294_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9294]) ).

cnf(c_0_9294_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9294]) ).

cnf(c_0_9294_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9294]) ).

cnf(c_0_9294_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9294]) ).

cnf(c_0_9295_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9295]) ).

cnf(c_0_9295_1,axiom,
    ( ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9295]) ).

cnf(c_0_9295_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9295]) ).

cnf(c_0_9296_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9296]) ).

cnf(c_0_9296_1,axiom,
    ( ~ c_less(c_minus(X1,X2,X3),c_0,X3)
    | c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9296]) ).

cnf(c_0_9296_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(c_minus(X1,X2,X3),c_0,X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9296]) ).

cnf(c_0_9297_0,axiom,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9297]) ).

cnf(c_0_9297_1,axiom,
    ( X1 = c_0
    | c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9297]) ).

cnf(c_0_9298_0,axiom,
    ( c_div(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_plus(c_div(X1,X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X2 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9298]) ).

cnf(c_0_9298_1,axiom,
    ( X2 = c_0
    | c_div(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_plus(c_div(X1,X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9298]) ).

cnf(c_0_9299_0,axiom,
    ( ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9299]) ).

cnf(c_0_9299_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9299]) ).

cnf(c_0_9299_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9299]) ).

cnf(c_0_9299_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9299]) ).

cnf(c_0_9300_0,axiom,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9300]) ).

cnf(c_0_9300_1,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9300]) ).

cnf(c_0_9301_0,axiom,
    ( c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9301]) ).

cnf(c_0_9301_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9301]) ).

cnf(c_0_9302_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9302]) ).

cnf(c_0_9302_1,axiom,
    ( ~ c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9302]) ).

cnf(c_0_9302_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9302]) ).

cnf(c_0_9303_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9303]) ).

cnf(c_0_9303_1,axiom,
    ( ~ c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9303]) ).

cnf(c_0_9303_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9303]) ).

cnf(c_0_9304_0,axiom,
    ( X1 = X2
    | c_List_Oop_Amem(X2,X3,X4)
    | ~ c_List_Oop_Amem(X2,c_List_Olist_OCons(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9304]) ).

cnf(c_0_9304_1,axiom,
    ( c_List_Oop_Amem(X2,X3,X4)
    | X1 = X2
    | ~ c_List_Oop_Amem(X2,c_List_Olist_OCons(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9304]) ).

cnf(c_0_9304_2,axiom,
    ( ~ c_List_Oop_Amem(X2,c_List_Olist_OCons(X1,X3,X4),X4)
    | c_List_Oop_Amem(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9304]) ).

cnf(c_0_9305_0,axiom,
    ( X1 = X2
    | c_in(X1,X3,X4)
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9305]) ).

cnf(c_0_9305_1,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9305]) ).

cnf(c_0_9305_2,axiom,
    ( ~ c_in(X1,c_insert(X2,X3,X4),X4)
    | c_in(X1,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9305]) ).

cnf(c_0_9306_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9306]) ).

cnf(c_0_9306_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9306]) ).

cnf(c_0_9306_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9306]) ).

cnf(c_0_9307_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9307]) ).

cnf(c_0_9307_1,axiom,
    ( ~ c_in(X1,c_inter(X2,X4,X3),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9307]) ).

cnf(c_0_9308_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9308]) ).

cnf(c_0_9308_1,axiom,
    ( ~ c_in(X1,c_inter(X4,X2,X3),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9308]) ).

cnf(c_0_9309_0,axiom,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9309]) ).

cnf(c_0_9309_1,axiom,
    ( c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset
    | c_inter(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9309]) ).

cnf(c_0_9310_0,axiom,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9310]) ).

cnf(c_0_9310_1,axiom,
    ( c_inter(X1,c_insert(X4,X2,X3),X3) != c_emptyset
    | c_inter(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9310]) ).

cnf(c_0_9311_0,axiom,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9311]) ).

cnf(c_0_9311_1,axiom,
    ( c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset
    | c_inter(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9311]) ).

cnf(c_0_9312_0,axiom,
    ( c_inter(X1,X2,X3) = c_emptyset
    | c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9312]) ).

cnf(c_0_9312_1,axiom,
    ( c_inter(c_insert(X4,X1,X3),X2,X3) != c_emptyset
    | c_inter(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9312]) ).

cnf(c_0_9313_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9313]) ).

cnf(c_0_9313_1,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9313]) ).

cnf(c_0_9314_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9314]) ).

cnf(c_0_9314_1,axiom,
    ( c_Numeral_Onumber__of(X1,X2) != c_1
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9314]) ).

cnf(c_0_9314_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9314]) ).

cnf(c_0_9315_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9315]) ).

cnf(c_0_9315_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9315]) ).

cnf(c_0_9315_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9315]) ).

cnf(c_0_9315_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9315]) ).

cnf(c_0_9316_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9316]) ).

cnf(c_0_9316_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9316]) ).

cnf(c_0_9316_2,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9316]) ).

cnf(c_0_9317_0,axiom,
    ( c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3) = c_Finite__Set_OMax(c_insert(X1,X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9317]) ).

cnf(c_0_9317_1,axiom,
    ( X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3) = c_Finite__Set_OMax(c_insert(X1,X2,X3),X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9317]) ).

cnf(c_0_9317_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3) = c_Finite__Set_OMax(c_insert(X1,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9317]) ).

cnf(c_0_9317_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMax(X2,X3),X3) = c_Finite__Set_OMax(c_insert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9317]) ).

cnf(c_0_9318_0,axiom,
    ( c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3) = c_Finite__Set_OMin(c_insert(X1,X2,X3),X3)
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9318]) ).

cnf(c_0_9318_1,axiom,
    ( X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3) = c_Finite__Set_OMin(c_insert(X1,X2,X3),X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9318]) ).

cnf(c_0_9318_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3) = c_Finite__Set_OMin(c_insert(X1,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9318]) ).

cnf(c_0_9318_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMin(X2,X3),X3) = c_Finite__Set_OMin(c_insert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9318]) ).

cnf(c_0_9319_0,axiom,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9319]) ).

cnf(c_0_9319_1,axiom,
    ( ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat)
    | c_lessequals(c_1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9319]) ).

cnf(c_0_9320_0,axiom,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9320]) ).

cnf(c_0_9320_1,axiom,
    ( ~ c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat)
    | c_lessequals(c_1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9320]) ).

cnf(c_0_9321_0,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9321]) ).

cnf(c_0_9321_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9321]) ).

cnf(c_0_9321_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9321]) ).

cnf(c_0_9321_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9321]) ).

cnf(c_0_9322_0,axiom,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,X3,X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9322]) ).

cnf(c_0_9322_1,axiom,
    ( c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_inter(X1,X3,X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9322]) ).

cnf(c_0_9322_2,axiom,
    ( c_inter(X1,X3,X4) != c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9322]) ).

cnf(c_0_9323_0,axiom,
    ( c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,X3,X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9323]) ).

cnf(c_0_9323_1,axiom,
    ( c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset
    | c_inter(X1,X3,X4) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9323]) ).

cnf(c_0_9323_2,axiom,
    ( c_inter(X1,X3,X4) != c_emptyset
    | c_in(X2,X1,X4)
    | c_inter(X1,c_insert(X2,X3,X4),X4) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9323]) ).

cnf(c_0_9324_0,axiom,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(X2,X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9324]) ).

cnf(c_0_9324_1,axiom,
    ( c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_inter(X2,X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9324]) ).

cnf(c_0_9324_2,axiom,
    ( c_inter(X2,X4,X3) != c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9324]) ).

cnf(c_0_9325_0,axiom,
    ( c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(X2,X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9325]) ).

cnf(c_0_9325_1,axiom,
    ( c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset
    | c_inter(X2,X4,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9325]) ).

cnf(c_0_9325_2,axiom,
    ( c_inter(X2,X4,X3) != c_emptyset
    | c_in(X1,X4,X3)
    | c_inter(c_insert(X1,X2,X3),X4,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9325]) ).

cnf(c_0_9326_0,axiom,
    ( c_List_Onth(c_List_Otake(X1,X2,X3),X4,X3) = c_List_Onth(X2,X4,X3)
    | ~ c_less(X4,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9326]) ).

cnf(c_0_9326_1,axiom,
    ( ~ c_less(X4,X1,tc_nat)
    | c_List_Onth(c_List_Otake(X1,X2,X3),X4,X3) = c_List_Onth(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9326]) ).

cnf(c_0_9327_0,axiom,
    ( c_Finite__Set_Ocard(c_insert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9327]) ).

cnf(c_0_9327_1,axiom,
    ( c_in(X1,X2,X3)
    | c_Finite__Set_Ocard(c_insert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9327]) ).

cnf(c_0_9327_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(X1,X2,X3)
    | c_Finite__Set_Ocard(c_insert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9327]) ).

cnf(c_0_9328_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9328]) ).

cnf(c_0_9328_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9328]) ).

cnf(c_0_9328_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9328]) ).

cnf(c_0_9328_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_Numeral_Onumber__of(X1,X3),c_Numeral_Onumber__of(X2,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9328]) ).

cnf(c_0_9329_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9329]) ).

cnf(c_0_9329_1,axiom,
    ( ~ c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9329]) ).

cnf(c_0_9330_0,axiom,
    ( c_inter(c_List_Oset(X1,X2),c_List_Oset(X3,X2),X2) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9330]) ).

cnf(c_0_9330_1,axiom,
    ( ~ c_List_Odistinct(c_append(X1,X3,X2),X2)
    | c_inter(c_List_Oset(X1,X2),c_List_Oset(X3,X2),X2) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9330]) ).

cnf(c_0_9331_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9331]) ).

cnf(c_0_9331_1,axiom,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9331]) ).

cnf(c_0_9331_2,axiom,
    ( ~ c_in(c_Message_OHPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9331]) ).

cnf(c_0_9332_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_9332]) ).

cnf(c_0_9332_1,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9332]) ).

cnf(c_0_9333_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_9333]) ).

cnf(c_0_9333_1,axiom,
    ( ~ c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent)) ),
    inference(literals_permutation,[status(thm)],[c_0_9333]) ).

cnf(c_0_9334_0,axiom,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3)
    | c_in(X1,c_List_Oset(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9334]) ).

cnf(c_0_9334_1,axiom,
    ( c_in(X1,c_List_Oset(X4,X3),X3)
    | c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9334]) ).

cnf(c_0_9335_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9335]) ).

cnf(c_0_9335_1,axiom,
    ( ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9335]) ).

cnf(c_0_9336_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X2,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9336]) ).

cnf(c_0_9336_1,axiom,
    ( ~ c_less(c_0,c_times(X2,X1,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9336]) ).

cnf(c_0_9337_0,axiom,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9337]) ).

cnf(c_0_9337_1,axiom,
    ( ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_lessequals(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9337]) ).

cnf(c_0_9338_0,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9338]) ).

cnf(c_0_9338_1,axiom,
    ( ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9338]) ).

cnf(c_0_9339_0,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9339]) ).

cnf(c_0_9339_1,axiom,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9339]) ).

cnf(c_0_9340_0,axiom,
    ( c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9340]) ).

cnf(c_0_9340_1,axiom,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9340]) ).

cnf(c_0_9341_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9341]) ).

cnf(c_0_9341_1,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9341]) ).

cnf(c_0_9341_2,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9341]) ).

cnf(c_0_9342_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9342]) ).

cnf(c_0_9342_1,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9342]) ).

cnf(c_0_9342_2,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9342]) ).

cnf(c_0_9343_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9343]) ).

cnf(c_0_9343_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9343]) ).

cnf(c_0_9343_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9343]) ).

cnf(c_0_9343_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9343]) ).

cnf(c_0_9344_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9344]) ).

cnf(c_0_9344_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9344]) ).

cnf(c_0_9344_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9344]) ).

cnf(c_0_9344_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9344]) ).

cnf(c_0_9345_0,axiom,
    ( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9345]) ).

cnf(c_0_9345_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
    | X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9345]) ).

cnf(c_0_9346_0,axiom,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
    | ~ c_in(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9346]) ).

cnf(c_0_9346_1,axiom,
    ( ~ c_in(c_0,X3,tc_nat)
    | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9346]) ).

cnf(c_0_9347_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9347]) ).

cnf(c_0_9347_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9347]) ).

cnf(c_0_9347_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9347]) ).

cnf(c_0_9347_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9347]) ).

cnf(c_0_9348_0,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9348]) ).

cnf(c_0_9348_1,axiom,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9348]) ).

cnf(c_0_9349_0,axiom,
    ( c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9349]) ).

cnf(c_0_9349_1,axiom,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9349]) ).

cnf(c_0_9350_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9350]) ).

cnf(c_0_9350_1,axiom,
    ( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9350]) ).

cnf(c_0_9350_2,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9350]) ).

cnf(c_0_9350_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9350]) ).

cnf(c_0_9350_4,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9350]) ).

cnf(c_0_9351_0,axiom,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9351]) ).

cnf(c_0_9351_1,axiom,
    ( c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9351]) ).

cnf(c_0_9351_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9351]) ).

cnf(c_0_9352_0,axiom,
    ( c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X1,c_Suc(X2))
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9352]) ).

cnf(c_0_9352_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X1,c_Suc(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9352]) ).

cnf(c_0_9353_0,axiom,
    ( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X2)),X1,tc_Message_Omsg)
    | c_in(X2,c_Message_OkeysFor(X1),tc_nat)
    | ~ c_in(X2,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9353]) ).

cnf(c_0_9353_1,axiom,
    ( c_in(X2,c_Message_OkeysFor(X1),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X2)),X1,tc_Message_Omsg)
    | ~ c_in(X2,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9353]) ).

cnf(c_0_9353_2,axiom,
    ( ~ c_in(X2,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)
    | c_in(X2,c_Message_OkeysFor(X1),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X2)),X1,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9353]) ).

cnf(c_0_9354_0,axiom,
    ( c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)) = c_minus(X1,X3,tc_set(X4))
    | c_in(X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9354]) ).

cnf(c_0_9354_1,axiom,
    ( c_in(X2,X1,X4)
    | c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)) = c_minus(X1,X3,tc_set(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9354]) ).

cnf(c_0_9355_0,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9355]) ).

cnf(c_0_9355_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9355]) ).

cnf(c_0_9356_0,axiom,
    ( c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9356]) ).

cnf(c_0_9356_1,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9356]) ).

cnf(c_0_9357_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9357]) ).

cnf(c_0_9357_1,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9357]) ).

cnf(c_0_9358_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9358]) ).

cnf(c_0_9358_1,axiom,
    ( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9358]) ).

cnf(c_0_9359_0,axiom,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9359]) ).

cnf(c_0_9359_1,axiom,
    ( ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
    | c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9359]) ).

cnf(c_0_9360_0,axiom,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9360]) ).

cnf(c_0_9360_1,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | X1 = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9360]) ).

cnf(c_0_9360_2,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9360]) ).

cnf(c_0_9360_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | X1 = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9360]) ).

cnf(c_0_9360_4,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9360]) ).

cnf(c_0_9361_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Inter(X4,X3),X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9361]) ).

cnf(c_0_9361_1,axiom,
    ( ~ c_in(X1,c_Inter(X4,X3),X3)
    | c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9361]) ).

cnf(c_0_9361_2,axiom,
    ( ~ c_in(X2,X4,tc_set(X3))
    | ~ c_in(X1,c_Inter(X4,X3),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9361]) ).

cnf(c_0_9362_0,axiom,
    ( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9362]) ).

cnf(c_0_9362_1,axiom,
    ( X1 = c_0
    | c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9362]) ).

cnf(c_0_9363_0,axiom,
    ( c_divide(c_times(c_0,X1,X2),c_times(c_0,X3,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9363]) ).

cnf(c_0_9363_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,X1,X2),c_times(c_0,X3,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9363]) ).

cnf(c_0_9363_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,X1,X2),c_times(c_0,X3,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9363]) ).

cnf(c_0_9364_0,axiom,
    ( c_divide(c_times(X1,c_0,X2),c_times(X3,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9364]) ).

cnf(c_0_9364_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X1,c_0,X2),c_times(X3,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9364]) ).

cnf(c_0_9364_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X1,c_0,X2),c_times(X3,c_0,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9364]) ).

cnf(c_0_9365_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9365]) ).

cnf(c_0_9365_1,axiom,
    ( ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9365]) ).

cnf(c_0_9366_0,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9366]) ).

cnf(c_0_9366_1,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9366]) ).

cnf(c_0_9366_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9366]) ).

cnf(c_0_9366_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9366]) ).

cnf(c_0_9367_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9367]) ).

cnf(c_0_9367_1,axiom,
    ( c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9367]) ).

cnf(c_0_9367_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9367]) ).

cnf(c_0_9367_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9367]) ).

cnf(c_0_9367_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9367]) ).

cnf(c_0_9368_0,axiom,
    ( c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9368]) ).

cnf(c_0_9368_1,axiom,
    ( c_Numeral_Onumber__of(X2,X3) = c_0
    | c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9368]) ).

cnf(c_0_9368_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9368]) ).

cnf(c_0_9368_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9368]) ).

cnf(c_0_9368_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_divide(c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9368]) ).

cnf(c_0_9369_0,axiom,
    ( c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9369]) ).

cnf(c_0_9369_1,axiom,
    ( c_Numeral_Onumber__of(X2,X3) = c_0
    | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9369]) ).

cnf(c_0_9369_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9369]) ).

cnf(c_0_9369_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9369]) ).

cnf(c_0_9369_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) = c_0
    | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),c_Numeral_Onumber__of(X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9369]) ).

cnf(c_0_9370_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9370]) ).

cnf(c_0_9370_1,axiom,
    ( c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9370]) ).

cnf(c_0_9370_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9370]) ).

cnf(c_0_9370_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9370]) ).

cnf(c_0_9370_4,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_Numeral_Onumber__of(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9370]) ).

cnf(c_0_9371_0,axiom,
    ( c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3)
    | c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9371]) ).

cnf(c_0_9371_1,axiom,
    ( c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))
    | c_in(c_Main_Oin__listsI__1(X1,X2,X3),c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9371]) ).

cnf(c_0_9372_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9372]) ).

cnf(c_0_9372_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9372]) ).

cnf(c_0_9372_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9372]) ).

cnf(c_0_9372_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9372]) ).

cnf(c_0_9373_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9373]) ).

cnf(c_0_9373_1,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9373]) ).

cnf(c_0_9373_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9373]) ).

cnf(c_0_9374_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9374]) ).

cnf(c_0_9374_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9374]) ).

cnf(c_0_9374_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9374]) ).

cnf(c_0_9375_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9375]) ).

cnf(c_0_9375_1,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9375]) ).

cnf(c_0_9375_2,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9375]) ).

cnf(c_0_9376_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9376]) ).

cnf(c_0_9376_1,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9376]) ).

cnf(c_0_9376_2,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9376]) ).

cnf(c_0_9377_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9377]) ).

cnf(c_0_9377_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9377]) ).

cnf(c_0_9377_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9377]) ).

cnf(c_0_9378_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9378]) ).

cnf(c_0_9378_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9378]) ).

cnf(c_0_9378_2,axiom,
    ( ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9378]) ).

cnf(c_0_9379_0,axiom,
    ( c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9379]) ).

cnf(c_0_9379_1,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9379]) ).

cnf(c_0_9380_0,axiom,
    ( X1 = X2
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9380]) ).

cnf(c_0_9380_1,axiom,
    ( c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | X1 = X2
    | ~ c_less(c_1,X3,X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9380]) ).

cnf(c_0_9380_2,axiom,
    ( ~ c_less(c_1,X3,X4)
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9380]) ).

cnf(c_0_9380_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | X1 = X2
    | ~ class_Power_Orecpower(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9380]) ).

cnf(c_0_9380_4,axiom,
    ( ~ class_Power_Orecpower(X4)
    | ~ class_Ring__and__Field_Oordered__semidom(X4)
    | ~ c_less(c_1,X3,X4)
    | c_Nat_Opower(X3,X1,X4) != c_Nat_Opower(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9380]) ).

cnf(c_0_9381_0,axiom,
    ( c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9381]) ).

cnf(c_0_9381_1,axiom,
    ( X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9381]) ).

cnf(c_0_9381_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9381]) ).

cnf(c_0_9381_3,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9381]) ).

cnf(c_0_9381_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9381]) ).

cnf(c_0_9382_0,axiom,
    ( c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | X2 = c_emptyset
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9382]) ).

cnf(c_0_9382_1,axiom,
    ( X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9382]) ).

cnf(c_0_9382_2,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | ~ c_in(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9382]) ).

cnf(c_0_9382_3,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9382]) ).

cnf(c_0_9382_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | X2 = c_emptyset
    | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9382]) ).

cnf(c_0_9383_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9383]) ).

cnf(c_0_9383_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9383]) ).

cnf(c_0_9383_2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9383]) ).

cnf(c_0_9384_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9384]) ).

cnf(c_0_9384_1,axiom,
    ( c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9384]) ).

cnf(c_0_9384_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | X1 = c_emptyset
    | ~ c_in(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9384]) ).

cnf(c_0_9384_3,axiom,
    ( ~ c_in(X2,X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9384]) ).

cnf(c_0_9384_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_in(X2,X1,X3)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_lessequals(X2,c_Finite__Set_OMax(X1,X3),X3)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9384]) ).

cnf(c_0_9385_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9385]) ).

cnf(c_0_9385_1,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9385]) ).

cnf(c_0_9385_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ c_in(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9385]) ).

cnf(c_0_9385_3,axiom,
    ( ~ c_in(X3,X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9385]) ).

cnf(c_0_9385_4,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X3,X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_lessequals(c_Finite__Set_OMin(X1,X2),X3,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9385]) ).

cnf(c_0_9386_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9386]) ).

cnf(c_0_9386_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9386]) ).

cnf(c_0_9386_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9386]) ).

cnf(c_0_9386_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9386]) ).

cnf(c_0_9387_0,axiom,
    ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9387]) ).

cnf(c_0_9387_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9387]) ).

cnf(c_0_9388_0,axiom,
    ( c_in(X1,c_Union(X2,X3),X3)
    | ~ c_in(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9388]) ).

cnf(c_0_9388_1,axiom,
    ( ~ c_in(X4,X2,tc_set(X3))
    | c_in(X1,c_Union(X2,X3),X3)
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9388]) ).

cnf(c_0_9388_2,axiom,
    ( ~ c_in(X1,X4,X3)
    | ~ c_in(X4,X2,tc_set(X3))
    | c_in(X1,c_Union(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9388]) ).

cnf(c_0_9389_0,axiom,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9389]) ).

cnf(c_0_9389_1,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9389]) ).

cnf(c_0_9390_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9390]) ).

cnf(c_0_9390_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9390]) ).

cnf(c_0_9390_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9390]) ).

cnf(c_0_9391_0,axiom,
    ( c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9391]) ).

cnf(c_0_9391_1,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9391]) ).

cnf(c_0_9392_0,axiom,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9392]) ).

cnf(c_0_9392_1,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9392]) ).

cnf(c_0_9393_0,axiom,
    ( c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9393]) ).

cnf(c_0_9393_1,axiom,
    ( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_inter(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9393]) ).

cnf(c_0_9394_0,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9394]) ).

cnf(c_0_9394_1,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9394]) ).

cnf(c_0_9395_0,axiom,
    ( c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9395]) ).

cnf(c_0_9395_1,axiom,
    ( ~ c_less(X1,c_0,X2)
    | c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9395]) ).

cnf(c_0_9395_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9395]) ).

cnf(c_0_9395_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_plus(X1,X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9395]) ).

cnf(c_0_9396_0,axiom,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9396]) ).

cnf(c_0_9396_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9396]) ).

cnf(c_0_9396_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9396]) ).

cnf(c_0_9396_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9396]) ).

cnf(c_0_9397_0,axiom,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9397]) ).

cnf(c_0_9397_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9397]) ).

cnf(c_0_9397_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9397]) ).

cnf(c_0_9397_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9397]) ).

cnf(c_0_9398_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9398]) ).

cnf(c_0_9398_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9398]) ).

cnf(c_0_9398_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9398]) ).

cnf(c_0_9398_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9398]) ).

cnf(c_0_9399_0,axiom,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9399]) ).

cnf(c_0_9399_1,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9399]) ).

cnf(c_0_9400_0,axiom,
    ( c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9400]) ).

cnf(c_0_9400_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9400]) ).

cnf(c_0_9400_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9400]) ).

cnf(c_0_9400_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_divide(c_1,X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9400]) ).

cnf(c_0_9401_0,axiom,
    ( c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9401]) ).

cnf(c_0_9401_1,axiom,
    ( ~ c_less(X1,c_0,X2)
    | c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9401]) ).

cnf(c_0_9401_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_divide(c_1,X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9401]) ).

cnf(c_0_9401_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_divide(c_1,X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9401]) ).

cnf(c_0_9402_0,axiom,
    ( c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9402]) ).

cnf(c_0_9402_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9402]) ).

cnf(c_0_9402_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9402]) ).

cnf(c_0_9402_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_divide(c_1,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9402]) ).

cnf(c_0_9403_0,axiom,
    ( c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9403]) ).

cnf(c_0_9403_1,axiom,
    ( ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9403]) ).

cnf(c_0_9403_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(c_1,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9403]) ).

cnf(c_0_9403_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_divide(c_1,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9403]) ).

cnf(c_0_9404_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9404]) ).

cnf(c_0_9404_1,axiom,
    ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9404]) ).

cnf(c_0_9405_0,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9405]) ).

cnf(c_0_9405_1,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9405]) ).

cnf(c_0_9406_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9406]) ).

cnf(c_0_9406_1,axiom,
    ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9406]) ).

cnf(c_0_9407_0,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9407]) ).

cnf(c_0_9407_1,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0
    | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9407]) ).

cnf(c_0_9408_0,axiom,
    ( c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9408]) ).

cnf(c_0_9408_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9408]) ).

cnf(c_0_9408_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_minus(X1,X2,X3),c_0,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9408]) ).

cnf(c_0_9409_0,axiom,
    ( c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9409]) ).

cnf(c_0_9409_1,axiom,
    ( ~ c_less(X1,X2,X3)
    | c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9409]) ).

cnf(c_0_9409_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(X1,X2,X3)
    | c_less(c_minus(X1,X2,X3),c_0,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9409]) ).

cnf(c_0_9410_0,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9410]) ).

cnf(c_0_9410_1,axiom,
    ( ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9410]) ).

cnf(c_0_9411_0,axiom,
    ( c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9411]) ).

cnf(c_0_9411_1,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9411]) ).

cnf(c_0_9411_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9411]) ).

cnf(c_0_9411_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_Nat_Opower(c_HOL_Oabs(X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_Nat_Opower(X1,c_Numeral_Onumber__of(X3,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9411]) ).

cnf(c_0_9412_0,axiom,
    ( c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9412]) ).

cnf(c_0_9412_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_plus(X1,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9412]) ).

cnf(c_0_9412_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_plus(X1,X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9412]) ).

cnf(c_0_9413_0,axiom,
    ( c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9413]) ).

cnf(c_0_9413_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_plus(X1,X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9413]) ).

cnf(c_0_9413_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_plus(X1,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9413]) ).

cnf(c_0_9414_0,axiom,
    ( c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9414]) ).

cnf(c_0_9414_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9414]) ).

cnf(c_0_9415_0,axiom,
    ( c_minus(c_insert(X1,c_emptyset,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9415]) ).

cnf(c_0_9415_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_minus(c_insert(X1,c_emptyset,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_insert(X1,c_emptyset,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9415]) ).

cnf(c_0_9416_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9416]) ).

cnf(c_0_9416_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9416]) ).

cnf(c_0_9416_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9416]) ).

cnf(c_0_9416_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9416]) ).

cnf(c_0_9417_0,axiom,
    ( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9417]) ).

cnf(c_0_9417_1,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9417]) ).

cnf(c_0_9418_0,axiom,
    ( c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9418]) ).

cnf(c_0_9418_1,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9418]) ).

cnf(c_0_9419_0,axiom,
    ( c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Oop_Amem(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9419]) ).

cnf(c_0_9419_1,axiom,
    ( ~ c_List_Oop_Amem(X1,X3,X4)
    | c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9419]) ).

cnf(c_0_9420_0,axiom,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9420]) ).

cnf(c_0_9420_1,axiom,
    ( ~ c_in(X1,X2,X4)
    | c_in(X1,c_union(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9420]) ).

cnf(c_0_9421_0,axiom,
    ( c_in(X1,c_union(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9421]) ).

cnf(c_0_9421_1,axiom,
    ( ~ c_in(X1,X3,X4)
    | c_in(X1,c_union(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9421]) ).

cnf(c_0_9422_0,axiom,
    ( c_in(X1,c_insert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9422]) ).

cnf(c_0_9422_1,axiom,
    ( ~ c_in(X1,X3,X4)
    | c_in(X1,c_insert(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9422]) ).

cnf(c_0_9423_0,axiom,
    ( c_List_Onth(c_List_Oreplicate(X1,X2,X3),X4,X3) = X2
    | ~ c_less(X4,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9423]) ).

cnf(c_0_9423_1,axiom,
    ( ~ c_less(X4,X1,tc_nat)
    | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X4,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9423]) ).

cnf(c_0_9424_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9424]) ).

cnf(c_0_9424_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9424]) ).

cnf(c_0_9424_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9424]) ).

cnf(c_0_9424_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9424]) ).

cnf(c_0_9425_0,axiom,
    ( c_minus(X1,c_minus(X1,X2,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9425]) ).

cnf(c_0_9425_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_minus(X1,c_minus(X1,X2,tc_nat),tc_nat) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9425]) ).

cnf(c_0_9426_0,axiom,
    ( c_plus(c_minus(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9426]) ).

cnf(c_0_9426_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_plus(c_minus(X1,X2,tc_nat),X2,tc_nat) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9426]) ).

cnf(c_0_9427_0,axiom,
    ( c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9427]) ).

cnf(c_0_9427_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9427]) ).

cnf(c_0_9428_0,axiom,
    ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9428]) ).

cnf(c_0_9428_1,axiom,
    ( ~ c_lessequals(c_1,X1,tc_nat)
    | c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9428]) ).

cnf(c_0_9429_0,axiom,
    ( c_divide(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) = c_HOL_Oabs(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9429]) ).

cnf(c_0_9429_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) = c_HOL_Oabs(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9429]) ).

cnf(c_0_9429_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) = c_HOL_Oabs(c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9429]) ).

cnf(c_0_9430_0,axiom,
    ( c_times(c_HOL_Oinverse(X1,X3),c_HOL_Oinverse(X2,X3),X3) = c_HOL_Oinverse(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9430]) ).

cnf(c_0_9430_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_times(c_HOL_Oinverse(X1,X3),c_HOL_Oinverse(X2,X3),X3) = c_HOL_Oinverse(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9430]) ).

cnf(c_0_9430_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_times(c_HOL_Oinverse(X1,X3),c_HOL_Oinverse(X2,X3),X3) = c_HOL_Oinverse(c_times(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9430]) ).

cnf(c_0_9431_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9431]) ).

cnf(c_0_9431_1,axiom,
    ( ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9431]) ).

cnf(c_0_9432_0,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9432]) ).

cnf(c_0_9432_1,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9432]) ).

cnf(c_0_9432_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9432]) ).

cnf(c_0_9432_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9432]) ).

cnf(c_0_9433_0,axiom,
    ( c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9433]) ).

cnf(c_0_9433_1,axiom,
    ( ~ c_less(X2,X1,tc_nat)
    | c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9433]) ).

cnf(c_0_9434_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9434]) ).

cnf(c_0_9434_1,axiom,
    ( ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9434]) ).

cnf(c_0_9434_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X3),c_SetInterval_OatLeast(X1,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9434]) ).

cnf(c_0_9435_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9435]) ).

cnf(c_0_9435_1,axiom,
    ( ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9435]) ).

cnf(c_0_9435_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(c_SetInterval_OatMost(X1,X3),c_SetInterval_OatMost(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9435]) ).

cnf(c_0_9436_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9436]) ).

cnf(c_0_9436_1,axiom,
    ( ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9436]) ).

cnf(c_0_9436_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X3),c_SetInterval_OgreaterThan(X1,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9436]) ).

cnf(c_0_9437_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9437]) ).

cnf(c_0_9437_1,axiom,
    ( ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9437]) ).

cnf(c_0_9437_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_OlessThan(X1,X3),c_SetInterval_OlessThan(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9437]) ).

cnf(c_0_9438_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9438]) ).

cnf(c_0_9438_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9438]) ).

cnf(c_0_9439_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),X2,tc_nat) = X1
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9439]) ).

cnf(c_0_9439_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_div(c_times(X1,X2,tc_nat),X2,tc_nat) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9439]) ).

cnf(c_0_9440_0,axiom,
    ( c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9440]) ).

cnf(c_0_9440_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9440]) ).

cnf(c_0_9441_0,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9441]) ).

cnf(c_0_9441_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9441]) ).

cnf(c_0_9442_0,axiom,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9442]) ).

cnf(c_0_9442_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_less(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9442]) ).

cnf(c_0_9443_0,axiom,
    ( c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9443]) ).

cnf(c_0_9443_1,axiom,
    ( ~ c_less(X1,c_0,tc_IntDef_Oint)
    | c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9443]) ).

cnf(c_0_9444_0,axiom,
    ( c_less(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9444]) ).

cnf(c_0_9444_1,axiom,
    ( ~ c_less(c_0,X2,tc_IntDef_Oint)
    | c_less(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9444]) ).

cnf(c_0_9445_0,axiom,
    ( c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9445]) ).

cnf(c_0_9445_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_IntDef_Oint)
    | c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9445]) ).

cnf(c_0_9446_0,axiom,
    ( c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9446]) ).

cnf(c_0_9446_1,axiom,
    ( ~ c_less(X1,X2,tc_IntDef_Oint)
    | c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9446]) ).

cnf(c_0_9447_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9447]) ).

cnf(c_0_9447_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9447]) ).

cnf(c_0_9447_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9447]) ).

cnf(c_0_9447_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X3,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9447]) ).

cnf(c_0_9448_0,axiom,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9448]) ).

cnf(c_0_9448_1,axiom,
    ( c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | X1 = X2
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9448]) ).

cnf(c_0_9448_2,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4))
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9448]) ).

cnf(c_0_9449_0,axiom,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9449]) ).

cnf(c_0_9449_1,axiom,
    ( c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | X1 = X2
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9449]) ).

cnf(c_0_9449_2,axiom,
    ( c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4))
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9449]) ).

cnf(c_0_9450_0,axiom,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9450]) ).

cnf(c_0_9450_1,axiom,
    ( c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | X1 = X2
    | c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9450]) ).

cnf(c_0_9450_2,axiom,
    ( c_Nat_Osize(X3,tc_List_Olist(X4)) != c_Nat_Osize(X5,tc_List_Olist(X4))
    | c_append(X1,X3,X4) != c_append(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9450]) ).

cnf(c_0_9451_0,axiom,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9451]) ).

cnf(c_0_9451_1,axiom,
    ( c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | X1 = X2
    | c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_9451]) ).

cnf(c_0_9451_2,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X4)) != c_Nat_Osize(X2,tc_List_Olist(X4))
    | c_append(X3,X1,X4) != c_append(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9451]) ).

cnf(c_0_9452_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3))
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9452]) ).

cnf(c_0_9452_1,axiom,
    ( ~ c_lessequals(X4,X2,tc_set(X3))
    | c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9452]) ).

cnf(c_0_9452_2,axiom,
    ( ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3))
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9452]) ).

cnf(c_0_9453_0,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(X2,c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9453]) ).

cnf(c_0_9453_1,axiom,
    ( ~ c_less(X2,c_0,tc_IntDef_Oint)
    | c_lessequals(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9453]) ).

cnf(c_0_9454_0,axiom,
    ( c_lessequals(c_0,c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9454]) ).

cnf(c_0_9454_1,axiom,
    ( ~ c_less(c_0,X2,tc_IntDef_Oint)
    | c_lessequals(c_0,c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9454]) ).

cnf(c_0_9455_0,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9455]) ).

cnf(c_0_9455_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9455]) ).

cnf(c_0_9456_0,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9456]) ).

cnf(c_0_9456_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9456]) ).

cnf(c_0_9457_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9457]) ).

cnf(c_0_9457_1,axiom,
    ( ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_nat),tc_nat)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9457]) ).

cnf(c_0_9458_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9458]) ).

cnf(c_0_9458_1,axiom,
    ( ~ c_Parity_Oeven(c_Nat_Opower(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9458]) ).

cnf(c_0_9459_0,axiom,
    ( c_plus(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_plus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9459]) ).

cnf(c_0_9459_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_plus(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_plus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9459]) ).

cnf(c_0_9460_0,axiom,
    ( c_LOrder_Omeet(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Ojoin(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9460]) ).

cnf(c_0_9460_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X3)
    | c_LOrder_Omeet(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Ojoin(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9460]) ).

cnf(c_0_9461_0,axiom,
    ( c_LOrder_Ojoin(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Omeet(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9461]) ).

cnf(c_0_9461_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X3)
    | c_LOrder_Ojoin(c_uminus(X1,X3),c_uminus(X2,X3),X3) = c_uminus(c_LOrder_Omeet(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9461]) ).

cnf(c_0_9462_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9462]) ).

cnf(c_0_9462_1,axiom,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9462]) ).

cnf(c_0_9463_0,axiom,
    ( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
    | ~ c_lessequals(X3,X1,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9463]) ).

cnf(c_0_9463_1,axiom,
    ( ~ c_lessequals(X3,X1,tc_set(X2))
    | c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9463]) ).

cnf(c_0_9464_0,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9464]) ).

cnf(c_0_9464_1,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9464]) ).

cnf(c_0_9465_0,axiom,
    ( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9465]) ).

cnf(c_0_9465_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9465]) ).

cnf(c_0_9466_0,axiom,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2),X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9466]) ).

cnf(c_0_9466_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_times(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X3,X2) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9466]) ).

cnf(c_0_9467_0,axiom,
    ( c_plus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9467]) ).

cnf(c_0_9467_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | c_plus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9467]) ).

cnf(c_0_9468_0,axiom,
    ( c_minus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9468]) ).

cnf(c_0_9468_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | c_minus(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9468]) ).

cnf(c_0_9469_0,axiom,
    ( c_times(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9469]) ).

cnf(c_0_9469_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | c_times(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9469]) ).

cnf(c_0_9470_0,axiom,
    ( c_plus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9470]) ).

cnf(c_0_9470_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3)
    | c_plus(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9470]) ).

cnf(c_0_9471_0,axiom,
    ( c_times(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9471]) ).

cnf(c_0_9471_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X3)
    | c_times(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9471]) ).

cnf(c_0_9472_0,axiom,
    ( c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(c_0,X2,tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9472]) ).

cnf(c_0_9472_1,axiom,
    ( ~ c_less(c_0,X2,tc_IntDef_Oint)
    | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9472]) ).

cnf(c_0_9472_2,axiom,
    ( ~ c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint)
    | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9472]) ).

cnf(c_0_9473_0,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9473]) ).

cnf(c_0_9473_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9473]) ).

cnf(c_0_9473_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9473]) ).

cnf(c_0_9474_0,axiom,
    ( c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9474]) ).

cnf(c_0_9474_1,axiom,
    ( X1 = c_0
    | c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9474]) ).

cnf(c_0_9474_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9474]) ).

cnf(c_0_9474_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(X1,c_times(X1,X2,X3),X3) = c_divide(c_1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9474]) ).

cnf(c_0_9475_0,axiom,
    ( c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3)
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9475]) ).

cnf(c_0_9475_1,axiom,
    ( X1 = c_0
    | c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9475]) ).

cnf(c_0_9475_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9475]) ).

cnf(c_0_9475_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(X1,c_times(X2,X1,X3),X3) = c_divide(c_1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9475]) ).

cnf(c_0_9476_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9476]) ).

cnf(c_0_9476_1,axiom,
    ( ~ c_lessequals(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9476]) ).

cnf(c_0_9476_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9476]) ).

cnf(c_0_9477_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_less(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9477]) ).

cnf(c_0_9477_1,axiom,
    ( ~ c_less(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9477]) ).

cnf(c_0_9477_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(c_uminus(X2,X3),c_uminus(X1,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9477]) ).

cnf(c_0_9478_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9478]) ).

cnf(c_0_9478_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9478]) ).

cnf(c_0_9479_0,axiom,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2)
    | c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9479]) ).

cnf(c_0_9479_1,axiom,
    ( c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9479]) ).

cnf(c_0_9479_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9479]) ).

cnf(c_0_9479_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_uminus(c_Nat_Opower(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9479]) ).

cnf(c_0_9480_0,axiom,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9480]) ).

cnf(c_0_9480_1,axiom,
    ( ~ c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9480]) ).

cnf(c_0_9480_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | c_lessequals(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9480]) ).

cnf(c_0_9481_0,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9481]) ).

cnf(c_0_9481_1,axiom,
    ( ~ c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | c_less(X1,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9481]) ).

cnf(c_0_9481_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9481]) ).

cnf(c_0_9482_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9482]) ).

cnf(c_0_9482_1,axiom,
    ( ~ c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | c_lessequals(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9482]) ).

cnf(c_0_9482_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9482]) ).

cnf(c_0_9483_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9483]) ).

cnf(c_0_9483_1,axiom,
    ( ~ c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | c_less(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9483]) ).

cnf(c_0_9483_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9483]) ).

cnf(c_0_9484_0,axiom,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9484]) ).

cnf(c_0_9484_1,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9484]) ).

cnf(c_0_9484_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | X1 = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9484]) ).

cnf(c_0_9484_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9484]) ).

cnf(c_0_9485_0,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9485]) ).

cnf(c_0_9485_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9485]) ).

cnf(c_0_9485_2,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9485]) ).

cnf(c_0_9486_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9486]) ).

cnf(c_0_9486_1,axiom,
    ( c_Numeral_Onumber__of(X1,X2) != c_1
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9486]) ).

cnf(c_0_9486_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_Numeral_Onumber__of(X1,X2) != c_1
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9486]) ).

cnf(c_0_9487_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9487]) ).

cnf(c_0_9487_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9487]) ).

cnf(c_0_9488_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9488]) ).

cnf(c_0_9488_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9488]) ).

cnf(c_0_9489_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9489]) ).

cnf(c_0_9489_1,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9489]) ).

cnf(c_0_9489_2,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | c_in(X1,c_List_Oset(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9489]) ).

cnf(c_0_9490_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9490]) ).

cnf(c_0_9490_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9490]) ).

cnf(c_0_9491_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9491]) ).

cnf(c_0_9491_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9491]) ).

cnf(c_0_9491_2,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9491]) ).

cnf(c_0_9491_3,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9491]) ).

cnf(c_0_9492_0,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),c_0,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9492]) ).

cnf(c_0_9492_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),c_0,X2),X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9492]) ).

cnf(c_0_9492_2,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X2),c_0,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9492]) ).

cnf(c_0_9493_0,axiom,
    ( c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X3),X3) = c_Orderings_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9493]) ).

cnf(c_0_9493_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X3),X3) = c_Orderings_Omin(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9493]) ).

cnf(c_0_9494_0,axiom,
    ( c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X3),X3) = c_Orderings_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9494]) ).

cnf(c_0_9494_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X3),X3) = c_Orderings_Omax(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9494]) ).

cnf(c_0_9495_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9495]) ).

cnf(c_0_9495_1,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9495]) ).

cnf(c_0_9496_0,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9496]) ).

cnf(c_0_9496_1,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9496]) ).

cnf(c_0_9496_2,axiom,
    ( ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9496]) ).

cnf(c_0_9497_0,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9497]) ).

cnf(c_0_9497_1,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) != c_0
    | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9497]) ).

cnf(c_0_9498_0,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9498]) ).

cnf(c_0_9498_1,axiom,
    ( ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9498]) ).

cnf(c_0_9498_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9498]) ).

cnf(c_0_9498_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_uminus(c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9498]) ).

cnf(c_0_9499_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_Numeral_Onumber__of(X3,X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9499]) ).

cnf(c_0_9499_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_Numeral_Onumber__of(X3,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9499]) ).

cnf(c_0_9499_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_Numeral_Onumber__of(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9499]) ).

cnf(c_0_9500_0,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9500]) ).

cnf(c_0_9500_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9500]) ).

cnf(c_0_9500_2,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat)
    | c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9500]) ).

cnf(c_0_9501_0,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9501]) ).

cnf(c_0_9501_1,axiom,
    ( ~ c_less(c_0,X2,tc_nat)
    | c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9501]) ).

cnf(c_0_9501_2,axiom,
    ( ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat)
    | c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9501]) ).

cnf(c_0_9502_0,axiom,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9502]) ).

cnf(c_0_9502_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_minus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9502]) ).

cnf(c_0_9503_0,axiom,
    ( c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9503]) ).

cnf(c_0_9503_1,axiom,
    ( ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9503]) ).

cnf(c_0_9503_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9503]) ).

cnf(c_0_9503_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_1,c_uminus(X1,X2),X2)
    | c_lessequals(X1,c_uminus(c_1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9503]) ).

cnf(c_0_9504_0,axiom,
    ( c_less(X1,c_uminus(c_1,X2),X2)
    | ~ c_less(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9504]) ).

cnf(c_0_9504_1,axiom,
    ( ~ c_less(c_1,c_uminus(X1,X2),X2)
    | c_less(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9504]) ).

cnf(c_0_9504_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_1,c_uminus(X1,X2),X2)
    | c_less(X1,c_uminus(c_1,X2),X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9504]) ).

cnf(c_0_9504_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_1,c_uminus(X1,X2),X2)
    | c_less(X1,c_uminus(c_1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9504]) ).

cnf(c_0_9505_0,axiom,
    ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9505]) ).

cnf(c_0_9505_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9505]) ).

cnf(c_0_9505_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9505]) ).

cnf(c_0_9505_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9505]) ).

cnf(c_0_9506_0,axiom,
    ( c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9506]) ).

cnf(c_0_9506_1,axiom,
    ( ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9506]) ).

cnf(c_0_9506_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9506]) ).

cnf(c_0_9506_3,axiom,
    ( ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1)
    | c_lessequals(c_uminus(c_1,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9506]) ).

cnf(c_0_9507_0,axiom,
    ( c_less(c_uminus(c_1,X1),X2,X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9507]) ).

cnf(c_0_9507_1,axiom,
    ( ~ c_less(c_uminus(X2,X1),c_1,X1)
    | c_less(c_uminus(c_1,X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9507]) ).

cnf(c_0_9507_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1)
    | c_less(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9507]) ).

cnf(c_0_9507_3,axiom,
    ( ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1)
    | c_less(c_uminus(c_1,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9507]) ).

cnf(c_0_9508_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9508]) ).

cnf(c_0_9508_1,axiom,
    ( ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9508]) ).

cnf(c_0_9508_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9508]) ).

cnf(c_0_9509_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9509]) ).

cnf(c_0_9509_1,axiom,
    ( ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9509]) ).

cnf(c_0_9509_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9509]) ).

cnf(c_0_9510_0,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9510]) ).

cnf(c_0_9510_1,axiom,
    ( ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9510]) ).

cnf(c_0_9510_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9510]) ).

cnf(c_0_9511_0,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9511]) ).

cnf(c_0_9511_1,axiom,
    ( ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9511]) ).

cnf(c_0_9511_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9511]) ).

cnf(c_0_9512_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9512]) ).

cnf(c_0_9512_1,axiom,
    ( ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9512]) ).

cnf(c_0_9512_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9512]) ).

cnf(c_0_9513_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9513]) ).

cnf(c_0_9513_1,axiom,
    ( ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9513]) ).

cnf(c_0_9513_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9513]) ).

cnf(c_0_9514_0,axiom,
    ( c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9514]) ).

cnf(c_0_9514_1,axiom,
    ( ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9514]) ).

cnf(c_0_9514_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | c_lessequals(c_1,c_uminus(X1,X2),X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9514]) ).

cnf(c_0_9514_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_uminus(c_1,X2),X2)
    | c_lessequals(c_1,c_uminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9514]) ).

cnf(c_0_9515_0,axiom,
    ( c_less(c_1,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_uminus(c_1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9515]) ).

cnf(c_0_9515_1,axiom,
    ( ~ c_less(X1,c_uminus(c_1,X2),X2)
    | c_less(c_1,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9515]) ).

cnf(c_0_9515_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X1,c_uminus(c_1,X2),X2)
    | c_less(c_1,c_uminus(X1,X2),X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9515]) ).

cnf(c_0_9515_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X1,c_uminus(c_1,X2),X2)
    | c_less(c_1,c_uminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9515]) ).

cnf(c_0_9516_0,axiom,
    ( c_lessequals(c_uminus(X1,X2),c_1,X2)
    | ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9516]) ).

cnf(c_0_9516_1,axiom,
    ( ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9516]) ).

cnf(c_0_9516_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_1,X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9516]) ).

cnf(c_0_9516_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(c_1,X2),X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9516]) ).

cnf(c_0_9517_0,axiom,
    ( c_less(c_uminus(X1,X2),c_1,X2)
    | ~ c_less(c_uminus(c_1,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9517]) ).

cnf(c_0_9517_1,axiom,
    ( ~ c_less(c_uminus(c_1,X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9517]) ).

cnf(c_0_9517_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(c_1,X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_1,X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9517]) ).

cnf(c_0_9517_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(c_1,X2),X1,X2)
    | c_less(c_uminus(X1,X2),c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9517]) ).

cnf(c_0_9518_0,axiom,
    ( c_divide(X1,c_uminus(X2,X3),X3) = c_uminus(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9518]) ).

cnf(c_0_9518_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,c_uminus(X2,X3),X3) = c_uminus(c_divide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9518]) ).

cnf(c_0_9518_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,c_uminus(X2,X3),X3) = c_uminus(c_divide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9518]) ).

cnf(c_0_9519_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9519]) ).

cnf(c_0_9519_1,axiom,
    ( ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9519]) ).

cnf(c_0_9520_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9520]) ).

cnf(c_0_9520_1,axiom,
    ( c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9520]) ).

cnf(c_0_9520_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9520]) ).

cnf(c_0_9520_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X3) != c_0
    | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9520]) ).

cnf(c_0_9521_0,axiom,
    ( c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_ONil
    | c_in(c_0,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9521]) ).

cnf(c_0_9521_1,axiom,
    ( c_in(c_0,X3,tc_nat)
    | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9521]) ).

cnf(c_0_9522_0,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9522]) ).

cnf(c_0_9522_1,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9522]) ).

cnf(c_0_9522_2,axiom,
    ( ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9522]) ).

cnf(c_0_9523_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9523]) ).

cnf(c_0_9523_1,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9523]) ).

cnf(c_0_9523_2,axiom,
    ( ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9523]) ).

cnf(c_0_9524_0,axiom,
    ( X1 = c_emptyset
    | c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9524]) ).

cnf(c_0_9524_1,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9524]) ).

cnf(c_0_9524_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9524]) ).

cnf(c_0_9524_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_lessequals(c_Finite__Set_OMin(X1,X2),c_Finite__Set_OMax(X1,X2),X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9524]) ).

cnf(c_0_9525_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9525]) ).

cnf(c_0_9525_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9525]) ).

cnf(c_0_9525_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9525]) ).

cnf(c_0_9526_0,axiom,
    ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9526]) ).

cnf(c_0_9526_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9526]) ).

cnf(c_0_9527_0,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9527]) ).

cnf(c_0_9527_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9527]) ).

cnf(c_0_9528_0,axiom,
    ( c_divide(c_uminus(X1,X2),X3,X2) = c_uminus(c_divide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9528]) ).

cnf(c_0_9528_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_uminus(X1,X2),X3,X2) = c_uminus(c_divide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9528]) ).

cnf(c_0_9529_0,axiom,
    ( c_times(c_uminus(X1,X2),X3,X2) = c_uminus(c_times(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9529]) ).

cnf(c_0_9529_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_times(c_uminus(X1,X2),X3,X2) = c_uminus(c_times(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9529]) ).

cnf(c_0_9530_0,axiom,
    ( c_times(X1,c_uminus(X2,X3),X3) = c_uminus(c_times(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9530]) ).

cnf(c_0_9530_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_times(X1,c_uminus(X2,X3),X3) = c_uminus(c_times(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9530]) ).

cnf(c_0_9531_0,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9531]) ).

cnf(c_0_9531_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9531]) ).

cnf(c_0_9531_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9531]) ).

cnf(c_0_9531_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9531]) ).

cnf(c_0_9532_0,axiom,
    ( c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9532]) ).

cnf(c_0_9532_1,axiom,
    ( ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2))
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9532]) ).

cnf(c_0_9532_2,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X3,X2),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9532]) ).

cnf(c_0_9533_0,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9533]) ).

cnf(c_0_9533_1,axiom,
    ( ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2))
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9533]) ).

cnf(c_0_9533_2,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X3,X2),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9533]) ).

cnf(c_0_9534_0,axiom,
    ( c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9534]) ).

cnf(c_0_9534_1,axiom,
    ( ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9534]) ).

cnf(c_0_9534_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X3,X2),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9534]) ).

cnf(c_0_9535_0,axiom,
    ( c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9535]) ).

cnf(c_0_9535_1,axiom,
    ( ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9535]) ).

cnf(c_0_9535_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X3,X2),tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9535]) ).

cnf(c_0_9536_0,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = X1
    | c_Numeral_Onumber__of(X4,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9536]) ).

cnf(c_0_9536_1,axiom,
    ( c_Numeral_Onumber__of(X4,tc_nat) != c_0
    | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9536]) ).

cnf(c_0_9537_0,axiom,
    ( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9537]) ).

cnf(c_0_9537_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9537]) ).

cnf(c_0_9538_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9538]) ).

cnf(c_0_9538_1,axiom,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9538]) ).

cnf(c_0_9539_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9539]) ).

cnf(c_0_9539_1,axiom,
    ( ~ c_List_Odistinct(c_append(X1,X3,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9539]) ).

cnf(c_0_9540_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_append(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9540]) ).

cnf(c_0_9540_1,axiom,
    ( ~ c_List_Odistinct(c_append(X3,X1,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9540]) ).

cnf(c_0_9541_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9541]) ).

cnf(c_0_9541_1,axiom,
    ( ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9541]) ).

cnf(c_0_9542_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9542]) ).

cnf(c_0_9542_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9542]) ).

cnf(c_0_9543_0,axiom,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9543]) ).

cnf(c_0_9543_1,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9543]) ).

cnf(c_0_9544_0,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9544]) ).

cnf(c_0_9544_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9544]) ).

cnf(c_0_9544_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9544]) ).

cnf(c_0_9544_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_lessequals(c_Numeral_Onumber__of(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9544]) ).

cnf(c_0_9545_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9545]) ).

cnf(c_0_9545_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9545]) ).

cnf(c_0_9545_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9545]) ).

cnf(c_0_9546_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9546]) ).

cnf(c_0_9546_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9546]) ).

cnf(c_0_9546_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9546]) ).

cnf(c_0_9547_0,axiom,
    ( c_Message_OinvKey(v_sko__uhi(X2,X1)) = X1
    | c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9547]) ).

cnf(c_0_9547_1,axiom,
    ( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | c_Message_OinvKey(v_sko__uhi(X2,X1)) = X1
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9547]) ).

cnf(c_0_9547_2,axiom,
    ( ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | c_Message_OinvKey(v_sko__uhi(X2,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9547]) ).

cnf(c_0_9548_0,axiom,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9548]) ).

cnf(c_0_9548_1,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9548]) ).

cnf(c_0_9549_0,axiom,
    ( c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3)
    | X2 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9549]) ).

cnf(c_0_9549_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9549]) ).

cnf(c_0_9550_0,axiom,
    ( c_append(c_List_Otl(X1,X3),X2,X3) = c_List_Otl(c_append(X1,X2,X3),X3)
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9550]) ).

cnf(c_0_9550_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(c_List_Otl(X1,X3),X2,X3) = c_List_Otl(c_append(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9550]) ).

cnf(c_0_9551_0,axiom,
    ( c_lessequals(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9551]) ).

cnf(c_0_9551_1,axiom,
    ( ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9551]) ).

cnf(c_0_9551_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X3,X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_uminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9551]) ).

cnf(c_0_9552_0,axiom,
    ( c_less(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ c_less(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9552]) ).

cnf(c_0_9552_1,axiom,
    ( ~ c_less(X3,X1,X2)
    | c_less(c_uminus(X1,X2),c_uminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9552]) ).

cnf(c_0_9552_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X3,X1,X2)
    | c_less(c_uminus(X1,X2),c_uminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9552]) ).

cnf(c_0_9553_0,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_OrderedGroup_Onprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9553]) ).

cnf(c_0_9553_1,axiom,
    ( ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_OrderedGroup_Onprt(X3,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9553]) ).

cnf(c_0_9553_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_OrderedGroup_Onprt(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9553]) ).

cnf(c_0_9554_0,axiom,
    ( c_lessequals(c_OrderedGroup_Opprt(X1,X2),c_OrderedGroup_Opprt(X3,X2),X2)
    | ~ c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9554]) ).

cnf(c_0_9554_1,axiom,
    ( ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_OrderedGroup_Opprt(X1,X2),c_OrderedGroup_Opprt(X3,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9554]) ).

cnf(c_0_9554_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(X1,X3,X2)
    | c_lessequals(c_OrderedGroup_Opprt(X1,X2),c_OrderedGroup_Opprt(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9554]) ).

cnf(c_0_9555_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9555]) ).

cnf(c_0_9555_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9555]) ).

cnf(c_0_9555_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9555]) ).

cnf(c_0_9555_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X3),X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9555]) ).

cnf(c_0_9556_0,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9556]) ).

cnf(c_0_9556_1,axiom,
    ( c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0
    | c_List_Orotate(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9556]) ).

cnf(c_0_9557_0,axiom,
    ( c_List_Otake(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9557]) ).

cnf(c_0_9557_1,axiom,
    ( ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
    | c_List_Otake(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9557]) ).

cnf(c_0_9558_0,axiom,
    ( c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9558]) ).

cnf(c_0_9558_1,axiom,
    ( ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
    | c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9558]) ).

cnf(c_0_9559_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9559]) ).

cnf(c_0_9559_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9559]) ).

cnf(c_0_9559_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9559]) ).

cnf(c_0_9559_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9559]) ).

cnf(c_0_9560_0,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9560]) ).

cnf(c_0_9560_1,axiom,
    ( ~ c_lessequals(X1,X3,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9560]) ).

cnf(c_0_9560_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(X1,X3,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9560]) ).

cnf(c_0_9561_0,axiom,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ c_less(X1,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9561]) ).

cnf(c_0_9561_1,axiom,
    ( ~ c_less(X1,X3,tc_IntDef_Oint)
    | c_less(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9561]) ).

cnf(c_0_9561_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(X1,X3,tc_IntDef_Oint)
    | c_less(c_IntDef_Oof__int(X1,X2),c_IntDef_Oof__int(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9561]) ).

cnf(c_0_9562_0,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_lessequals(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9562]) ).

cnf(c_0_9562_1,axiom,
    ( ~ c_lessequals(X1,X3,tc_nat)
    | c_lessequals(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9562]) ).

cnf(c_0_9562_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_lessequals(X1,X3,tc_nat)
    | c_lessequals(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9562]) ).

cnf(c_0_9563_0,axiom,
    ( c_less(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ c_less(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9563]) ).

cnf(c_0_9563_1,axiom,
    ( ~ c_less(X1,X3,tc_nat)
    | c_less(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9563]) ).

cnf(c_0_9563_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_less(X1,X3,tc_nat)
    | c_less(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9563]) ).

cnf(c_0_9564_0,axiom,
    ( X1 = X2
    | ~ c_in(X2,X3,X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9564]) ).

cnf(c_0_9564_1,axiom,
    ( ~ c_in(X2,X3,X4)
    | X1 = X2
    | ~ c_in(X1,X3,X4)
    | ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9564]) ).

cnf(c_0_9564_2,axiom,
    ( ~ c_in(X1,X3,X4)
    | ~ c_in(X2,X3,X4)
    | X1 = X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9564]) ).

cnf(c_0_9564_3,axiom,
    ( ~ c_Infinite__Set_Oatmost__one(X3,X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_in(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9564]) ).

cnf(c_0_9565_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9565]) ).

cnf(c_0_9565_1,axiom,
    ( ~ c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9565]) ).

cnf(c_0_9566_0,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),c_1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9566]) ).

cnf(c_0_9566_1,axiom,
    ( ~ c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),c_1,tc_nat)
    | c_List_Orotate(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9566]) ).

cnf(c_0_9567_0,axiom,
    ( c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9567]) ).

cnf(c_0_9567_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9567]) ).

cnf(c_0_9568_0,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9568]) ).

cnf(c_0_9568_1,axiom,
    ( ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9568]) ).

cnf(c_0_9569_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9569]) ).

cnf(c_0_9569_1,axiom,
    ( ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9569]) ).

cnf(c_0_9570_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9570]) ).

cnf(c_0_9570_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9570]) ).

cnf(c_0_9570_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9570]) ).

cnf(c_0_9571_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9571]) ).

cnf(c_0_9571_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9571]) ).

cnf(c_0_9571_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9571]) ).

cnf(c_0_9571_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9571]) ).

cnf(c_0_9572_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9572]) ).

cnf(c_0_9572_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9572]) ).

cnf(c_0_9572_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9572]) ).

cnf(c_0_9572_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9572]) ).

cnf(c_0_9573_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9573]) ).

cnf(c_0_9573_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9573]) ).

cnf(c_0_9573_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9573]) ).

cnf(c_0_9574_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9574]) ).

cnf(c_0_9574_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9574]) ).

cnf(c_0_9575_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9575]) ).

cnf(c_0_9575_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9575]) ).

cnf(c_0_9576_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9576]) ).

cnf(c_0_9576_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9576]) ).

cnf(c_0_9577_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9577]) ).

cnf(c_0_9577_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9577]) ).

cnf(c_0_9578_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9578]) ).

cnf(c_0_9578_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9578]) ).

cnf(c_0_9579_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9579]) ).

cnf(c_0_9579_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9579]) ).

cnf(c_0_9580_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9580]) ).

cnf(c_0_9580_1,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9580]) ).

cnf(c_0_9581_0,axiom,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9581]) ).

cnf(c_0_9581_1,axiom,
    ( ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9581]) ).

cnf(c_0_9581_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9581]) ).

cnf(c_0_9581_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_less(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9581]) ).

cnf(c_0_9582_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9582]) ).

cnf(c_0_9582_1,axiom,
    ( ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9582]) ).

cnf(c_0_9582_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9582]) ).

cnf(c_0_9582_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9582]) ).

cnf(c_0_9583_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9583]) ).

cnf(c_0_9583_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9583]) ).

cnf(c_0_9583_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9583]) ).

cnf(c_0_9583_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9583]) ).

cnf(c_0_9584_0,axiom,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9584]) ).

cnf(c_0_9584_1,axiom,
    ( ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9584]) ).

cnf(c_0_9584_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9584]) ).

cnf(c_0_9584_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | c_less(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9584]) ).

cnf(c_0_9585_0,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X2,X1,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9585]) ).

cnf(c_0_9585_1,axiom,
    ( ~ c_less(X2,X1,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9585]) ).

cnf(c_0_9586_0,axiom,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9586]) ).

cnf(c_0_9586_1,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_9586]) ).

cnf(c_0_9587_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9587]) ).

cnf(c_0_9587_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9587]) ).

cnf(c_0_9587_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9587]) ).

cnf(c_0_9587_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9587]) ).

cnf(c_0_9588_0,axiom,
    ( c_HOL_Oinverse(c_divide(X1,X2,X3),X3) = c_divide(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9588]) ).

cnf(c_0_9588_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse(c_divide(X1,X2,X3),X3) = c_divide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9588]) ).

cnf(c_0_9588_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse(c_divide(X1,X2,X3),X3) = c_divide(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9588]) ).

cnf(c_0_9589_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9589]) ).

cnf(c_0_9589_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9589]) ).

cnf(c_0_9589_2,axiom,
    ( c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9589]) ).

cnf(c_0_9589_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9589]) ).

cnf(c_0_9589_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(X1,X2,X4) != c_divide(X1,X3,X4)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9589]) ).

cnf(c_0_9590_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9590]) ).

cnf(c_0_9590_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9590]) ).

cnf(c_0_9590_2,axiom,
    ( c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9590]) ).

cnf(c_0_9590_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9590]) ).

cnf(c_0_9590_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Ofield(X4)
    | c_divide(X2,X1,X4) != c_divide(X3,X1,X4)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9590]) ).

cnf(c_0_9591_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9591]) ).

cnf(c_0_9591_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9591]) ).

cnf(c_0_9591_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OatLeast(X1,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9591]) ).

cnf(c_0_9592_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9592]) ).

cnf(c_0_9592_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9592]) ).

cnf(c_0_9592_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9592]) ).

cnf(c_0_9593_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9593]) ).

cnf(c_0_9593_1,axiom,
    ( ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9593]) ).

cnf(c_0_9593_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9593]) ).

cnf(c_0_9594_0,axiom,
    ( c_less(X1,X2,X3)
    | ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9594]) ).

cnf(c_0_9594_1,axiom,
    ( ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9594]) ).

cnf(c_0_9594_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | c_less(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9594]) ).

cnf(c_0_9595_0,axiom,
    ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9595]) ).

cnf(c_0_9595_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9595]) ).

cnf(c_0_9595_2,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9595]) ).

cnf(c_0_9595_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9595]) ).

cnf(c_0_9596_0,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9596]) ).

cnf(c_0_9596_1,axiom,
    ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9596]) ).

cnf(c_0_9597_0,axiom,
    ( c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9597]) ).

cnf(c_0_9597_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9597]) ).

cnf(c_0_9597_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9597]) ).

cnf(c_0_9598_0,axiom,
    ( c_lessequals(X1,c_0,X2)
    | ~ c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9598]) ).

cnf(c_0_9598_1,axiom,
    ( ~ c_lessequals(c_0,c_uminus(X1,X2),X2)
    | c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9598]) ).

cnf(c_0_9598_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_0,c_uminus(X1,X2),X2)
    | c_lessequals(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9598]) ).

cnf(c_0_9599_0,axiom,
    ( c_less(X1,c_0,X2)
    | ~ c_less(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9599]) ).

cnf(c_0_9599_1,axiom,
    ( ~ c_less(c_0,c_uminus(X1,X2),X2)
    | c_less(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9599]) ).

cnf(c_0_9599_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_0,c_uminus(X1,X2),X2)
    | c_less(X1,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9599]) ).

cnf(c_0_9600_0,axiom,
    ( c_lessequals(c_0,X1,X2)
    | ~ c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9600]) ).

cnf(c_0_9600_1,axiom,
    ( ~ c_lessequals(c_uminus(X1,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9600]) ).

cnf(c_0_9600_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_uminus(X1,X2),c_0,X2)
    | c_lessequals(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9600]) ).

cnf(c_0_9601_0,axiom,
    ( c_less(c_0,X1,X2)
    | ~ c_less(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9601]) ).

cnf(c_0_9601_1,axiom,
    ( ~ c_less(c_uminus(X1,X2),c_0,X2)
    | c_less(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9601]) ).

cnf(c_0_9601_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_uminus(X1,X2),c_0,X2)
    | c_less(c_0,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9601]) ).

cnf(c_0_9602_0,axiom,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9602]) ).

cnf(c_0_9602_1,axiom,
    ( ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9602]) ).

cnf(c_0_9602_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9602]) ).

cnf(c_0_9603_0,axiom,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9603]) ).

cnf(c_0_9603_1,axiom,
    ( ~ c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | c_less(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9603]) ).

cnf(c_0_9603_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | c_less(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9603]) ).

cnf(c_0_9604_0,axiom,
    ( c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9604]) ).

cnf(c_0_9604_1,axiom,
    ( ~ c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9604]) ).

cnf(c_0_9604_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9604]) ).

cnf(c_0_9605_0,axiom,
    ( c_less(X1,c_0,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9605]) ).

cnf(c_0_9605_1,axiom,
    ( ~ c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | c_less(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9605]) ).

cnf(c_0_9605_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | c_less(X1,c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9605]) ).

cnf(c_0_9606_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9606]) ).

cnf(c_0_9606_1,axiom,
    ( ~ c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9606]) ).

cnf(c_0_9606_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9606]) ).

cnf(c_0_9607_0,axiom,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9607]) ).

cnf(c_0_9607_1,axiom,
    ( c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9607]) ).

cnf(c_0_9607_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9607]) ).

cnf(c_0_9607_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Finite__Set_OMax(X1,X2),X1,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9607]) ).

cnf(c_0_9608_0,axiom,
    ( X1 = c_emptyset
    | c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9608]) ).

cnf(c_0_9608_1,axiom,
    ( c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9608]) ).

cnf(c_0_9608_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | X1 = c_emptyset
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9608]) ).

cnf(c_0_9608_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Finite__Set_OMin(X1,X2),X1,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9608]) ).

cnf(c_0_9609_0,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9609]) ).

cnf(c_0_9609_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9609]) ).

cnf(c_0_9610_0,axiom,
    ( c_uminus(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9610]) ).

cnf(c_0_9610_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_uminus(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9610]) ).

cnf(c_0_9611_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9611]) ).

cnf(c_0_9611_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9611]) ).

cnf(c_0_9611_2,axiom,
    ( c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9611]) ).

cnf(c_0_9611_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_times(X1,X2,X4) != c_times(X1,X3,X4)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9611]) ).

cnf(c_0_9612_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9612]) ).

cnf(c_0_9612_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9612]) ).

cnf(c_0_9612_2,axiom,
    ( c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | X2 = X3
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9612]) ).

cnf(c_0_9612_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_times(X2,X1,X4) != c_times(X3,X1,X4)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9612]) ).

cnf(c_0_9613_0,axiom,
    ( X1 = X2
    | c_plus(X3,X1,X4) != c_plus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9613]) ).

cnf(c_0_9613_1,axiom,
    ( c_plus(X3,X1,X4) != c_plus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9613]) ).

cnf(c_0_9613_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_plus(X3,X1,X4) != c_plus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9613]) ).

cnf(c_0_9614_0,axiom,
    ( X1 = X2
    | c_plus(X1,X3,X4) != c_plus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9614]) ).

cnf(c_0_9614_1,axiom,
    ( c_plus(X1,X3,X4) != c_plus(X2,X3,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9614]) ).

cnf(c_0_9614_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_plus(X1,X3,X4) != c_plus(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9614]) ).

cnf(c_0_9615_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9615]) ).

cnf(c_0_9615_1,axiom,
    ( c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9615]) ).

cnf(c_0_9615_2,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9615]) ).

cnf(c_0_9616_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9616]) ).

cnf(c_0_9616_1,axiom,
    ( c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9616]) ).

cnf(c_0_9616_2,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9616]) ).

cnf(c_0_9617_0,axiom,
    ( c_divide(c_times(X1,X2,X3),X1,X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9617]) ).

cnf(c_0_9617_1,axiom,
    ( X1 = c_0
    | c_divide(c_times(X1,X2,X3),X1,X3) = X2
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9617]) ).

cnf(c_0_9617_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(c_times(X1,X2,X3),X1,X3) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9617]) ).

cnf(c_0_9617_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_divide(c_times(X1,X2,X3),X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9617]) ).

cnf(c_0_9618_0,axiom,
    ( c_divide(c_times(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9618]) ).

cnf(c_0_9618_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9618]) ).

cnf(c_0_9618_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_divide(c_times(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9618]) ).

cnf(c_0_9618_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_divide(c_times(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9618]) ).

cnf(c_0_9619_0,axiom,
    ( c_times(c_divide(X1,X2,X3),X2,X3) = X1
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9619]) ).

cnf(c_0_9619_1,axiom,
    ( X2 = c_0
    | c_times(c_divide(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9619]) ).

cnf(c_0_9619_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_times(c_divide(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9619]) ).

cnf(c_0_9619_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_0
    | c_times(c_divide(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9619]) ).

cnf(c_0_9620_0,axiom,
    ( c_times(X1,c_divide(X2,X1,X3),X3) = X2
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9620]) ).

cnf(c_0_9620_1,axiom,
    ( X1 = c_0
    | c_times(X1,c_divide(X2,X1,X3),X3) = X2
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9620]) ).

cnf(c_0_9620_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_times(X1,c_divide(X2,X1,X3),X3) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9620]) ).

cnf(c_0_9620_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | X1 = c_0
    | c_times(X1,c_divide(X2,X1,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9620]) ).

cnf(c_0_9621_0,axiom,
    ( c_minus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9621]) ).

cnf(c_0_9621_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_minus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9621]) ).

cnf(c_0_9622_0,axiom,
    ( c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
    | c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9622]) ).

cnf(c_0_9622_1,axiom,
    ( c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil
    | c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9622]) ).

cnf(c_0_9623_0,axiom,
    ( c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9623]) ).

cnf(c_0_9623_1,axiom,
    ( ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9623]) ).

cnf(c_0_9623_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9623]) ).

cnf(c_0_9623_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_HOL_Oinverse(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9623]) ).

cnf(c_0_9624_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9624]) ).

cnf(c_0_9624_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9624]) ).

cnf(c_0_9624_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9624]) ).

cnf(c_0_9624_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_0,c_HOL_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9624]) ).

cnf(c_0_9625_0,axiom,
    ( c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9625]) ).

cnf(c_0_9625_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9625]) ).

cnf(c_0_9625_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9625]) ).

cnf(c_0_9625_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_HOL_Oinverse(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9625]) ).

cnf(c_0_9626_0,axiom,
    ( c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9626]) ).

cnf(c_0_9626_1,axiom,
    ( ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9626]) ).

cnf(c_0_9626_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9626]) ).

cnf(c_0_9626_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_0,c_HOL_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9626]) ).

cnf(c_0_9627_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    inference(literals_permutation,[status(thm)],[c_0_9627]) ).

cnf(c_0_9627_1,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9627]) ).

cnf(c_0_9628_0,axiom,
    ( c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9628]) ).

cnf(c_0_9628_1,axiom,
    ( X1 = c_0
    | c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9628]) ).

cnf(c_0_9629_0,axiom,
    ( c_divide(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_divide(X1,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9629]) ).

cnf(c_0_9629_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_divide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9629]) ).

cnf(c_0_9629_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_divide(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9629]) ).

cnf(c_0_9630_0,axiom,
    ( c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9630]) ).

cnf(c_0_9630_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_in(X1,c_SetInterval_OatLeast(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9630]) ).

cnf(c_0_9630_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_in(X1,c_SetInterval_OatLeast(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9630]) ).

cnf(c_0_9631_0,axiom,
    ( c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9631]) ).

cnf(c_0_9631_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_in(X1,c_SetInterval_OatMost(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9631]) ).

cnf(c_0_9631_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_in(X1,c_SetInterval_OatMost(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9631]) ).

cnf(c_0_9632_0,axiom,
    ( c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9632]) ).

cnf(c_0_9632_1,axiom,
    ( ~ c_less(X2,X1,X3)
    | c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9632]) ).

cnf(c_0_9632_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_less(X2,X1,X3)
    | c_in(X1,c_SetInterval_OgreaterThan(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9632]) ).

cnf(c_0_9633_0,axiom,
    ( c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ c_less(X1,X2,X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9633]) ).

cnf(c_0_9633_1,axiom,
    ( ~ c_less(X1,X2,X3)
    | c_in(X1,c_SetInterval_OlessThan(X2,X3),X3)
    | ~ class_Orderings_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9633]) ).

cnf(c_0_9633_2,axiom,
    ( ~ class_Orderings_Oord(X3)
    | ~ c_less(X1,X2,X3)
    | c_in(X1,c_SetInterval_OlessThan(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9633]) ).

cnf(c_0_9634_0,axiom,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9634]) ).

cnf(c_0_9634_1,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9634]) ).

cnf(c_0_9635_0,axiom,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9635]) ).

cnf(c_0_9635_1,axiom,
    ( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9635]) ).

cnf(c_0_9636_0,axiom,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9636]) ).

cnf(c_0_9636_1,axiom,
    ( ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9636]) ).

cnf(c_0_9637_0,axiom,
    ( c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9637]) ).

cnf(c_0_9637_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9637]) ).

cnf(c_0_9638_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9638]) ).

cnf(c_0_9638_1,axiom,
    ( c_Datatype__Universe_OLeaf(X1,X3,X4) != c_Datatype__Universe_OLeaf(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9638]) ).

cnf(c_0_9639_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9639]) ).

cnf(c_0_9639_1,axiom,
    ( c_Datatype__Universe_ONumb(X1,X3,X4) != c_Datatype__Universe_ONumb(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9639]) ).

cnf(c_0_9640_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9640]) ).

cnf(c_0_9640_1,axiom,
    ( c_Datatype__Universe_OAtom(X1,X3,X4) != c_Datatype__Universe_OAtom(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9640]) ).

cnf(c_0_9641_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9641]) ).

cnf(c_0_9641_1,axiom,
    ( c_Datatype__Universe_OIn0(X1,X3,X4) != c_Datatype__Universe_OIn0(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9641]) ).

cnf(c_0_9642_0,axiom,
    ( X1 = X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9642]) ).

cnf(c_0_9642_1,axiom,
    ( c_Datatype__Universe_OIn1(X1,X3,X4) != c_Datatype__Universe_OIn1(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9642]) ).

cnf(c_0_9643_0,axiom,
    ( X1 = X2
    | c_append(X1,X3,X4) != c_append(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9643]) ).

cnf(c_0_9643_1,axiom,
    ( c_append(X1,X3,X4) != c_append(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9643]) ).

cnf(c_0_9644_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9644]) ).

cnf(c_0_9644_1,axiom,
    ( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9644]) ).

cnf(c_0_9645_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9645]) ).

cnf(c_0_9645_1,axiom,
    ( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9645]) ).

cnf(c_0_9646_0,axiom,
    ( X1 = X2
    | c_append(X3,X1,X4) != c_append(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9646]) ).

cnf(c_0_9646_1,axiom,
    ( c_append(X3,X1,X4) != c_append(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9646]) ).

cnf(c_0_9647_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9647]) ).

cnf(c_0_9647_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9647]) ).

cnf(c_0_9647_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9647]) ).

cnf(c_0_9647_3,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9647]) ).

cnf(c_0_9648_0,axiom,
    ( X1 = X2
    | c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9648]) ).

cnf(c_0_9648_1,axiom,
    ( c_Sum__Type_OInl(X1,X3,X4) != c_Sum__Type_OInl(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9648]) ).

cnf(c_0_9649_0,axiom,
    ( X1 = X2
    | c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9649]) ).

cnf(c_0_9649_1,axiom,
    ( c_Sum__Type_OInr(X1,X3,X4) != c_Sum__Type_OInr(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9649]) ).

cnf(c_0_9650_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_9650]) ).

cnf(c_0_9650_1,axiom,
    ( c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9650]) ).

cnf(c_0_9651_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_9651]) ).

cnf(c_0_9651_1,axiom,
    ( c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9651]) ).

cnf(c_0_9652_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9652]) ).

cnf(c_0_9652_1,axiom,
    ( c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9652]) ).

cnf(c_0_9653_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9653]) ).

cnf(c_0_9653_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9653]) ).

cnf(c_0_9654_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9654]) ).

cnf(c_0_9654_1,axiom,
    ( ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9654]) ).

cnf(c_0_9655_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9655]) ).

cnf(c_0_9655_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9655]) ).

cnf(c_0_9656_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9656]) ).

cnf(c_0_9656_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9656]) ).

cnf(c_0_9657_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9657]) ).

cnf(c_0_9657_1,axiom,
    ( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9657]) ).

cnf(c_0_9658_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9658]) ).

cnf(c_0_9658_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9658]) ).

cnf(c_0_9659_0,axiom,
    ( c_divide(c_0,c_times(c_0,X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9659]) ).

cnf(c_0_9659_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,c_times(c_0,X1,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9659]) ).

cnf(c_0_9659_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,c_times(c_0,X1,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9659]) ).

cnf(c_0_9660_0,axiom,
    ( c_divide(c_times(c_0,X1,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9660]) ).

cnf(c_0_9660_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,X1,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9660]) ).

cnf(c_0_9660_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(c_0,X1,X2),c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9660]) ).

cnf(c_0_9661_0,axiom,
    ( c_divide(c_0,c_times(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9661]) ).

cnf(c_0_9661_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,c_times(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9661]) ).

cnf(c_0_9661_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,c_times(X1,c_0,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9661]) ).

cnf(c_0_9662_0,axiom,
    ( c_divide(c_times(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9662]) ).

cnf(c_0_9662_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9662]) ).

cnf(c_0_9662_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_times(X1,c_0,X2),c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9662]) ).

cnf(c_0_9663_0,axiom,
    ( c_times(c_divide(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9663]) ).

cnf(c_0_9663_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_divide(X1,c_0,X2),c_0,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9663]) ).

cnf(c_0_9663_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_divide(X1,c_0,X2),c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9663]) ).

cnf(c_0_9664_0,axiom,
    ( c_times(c_0,c_divide(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9664]) ).

cnf(c_0_9664_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_0,c_divide(X1,c_0,X2),X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9664]) ).

cnf(c_0_9664_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_0,c_divide(X1,c_0,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9664]) ).

cnf(c_0_9665_0,axiom,
    ( X1 = X2
    | c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9665]) ).

cnf(c_0_9665_1,axiom,
    ( c_insert(X2,c_emptyset,X3) != c_insert(X1,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9665]) ).

cnf(c_0_9666_0,axiom,
    ( X1 = X2
    | c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9666]) ).

cnf(c_0_9666_1,axiom,
    ( c_insert(X1,X3,X4) != c_insert(X2,c_emptyset,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9666]) ).

cnf(c_0_9667_0,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9667]) ).

cnf(c_0_9667_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9667]) ).

cnf(c_0_9668_0,axiom,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9668]) ).

cnf(c_0_9668_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9668]) ).

cnf(c_0_9669_0,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9669]) ).

cnf(c_0_9669_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9669]) ).

cnf(c_0_9670_0,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9670]) ).

cnf(c_0_9670_1,axiom,
    ( ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    inference(literals_permutation,[status(thm)],[c_0_9670]) ).

cnf(c_0_9671_0,axiom,
    ( c_in(c_uminus(X1,X2),c_IntDef_OInts,X2)
    | ~ c_in(X1,c_IntDef_OInts,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9671]) ).

cnf(c_0_9671_1,axiom,
    ( ~ c_in(X1,c_IntDef_OInts,X2)
    | c_in(c_uminus(X1,X2),c_IntDef_OInts,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9671]) ).

cnf(c_0_9671_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ c_in(X1,c_IntDef_OInts,X2)
    | c_in(c_uminus(X1,X2),c_IntDef_OInts,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9671]) ).

cnf(c_0_9672_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9672]) ).

cnf(c_0_9672_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9672]) ).

cnf(c_0_9672_2,axiom,
    ( c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9672]) ).

cnf(c_0_9673_0,axiom,
    ( X1 = c_0
    | X2 = X3
    | c_times(X2,X1,tc_nat) != c_times(X3,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9673]) ).

cnf(c_0_9673_1,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X2,X1,tc_nat) != c_times(X3,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9673]) ).

cnf(c_0_9673_2,axiom,
    ( c_times(X2,X1,tc_nat) != c_times(X3,X1,tc_nat)
    | X2 = X3
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9673]) ).

cnf(c_0_9674_0,axiom,
    ( c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9674]) ).

cnf(c_0_9674_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9674]) ).

cnf(c_0_9674_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_lessequals(c_0,c_uminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9674]) ).

cnf(c_0_9675_0,axiom,
    ( c_less(c_0,c_uminus(X1,X2),X2)
    | ~ c_less(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9675]) ).

cnf(c_0_9675_1,axiom,
    ( ~ c_less(X1,c_0,X2)
    | c_less(c_0,c_uminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9675]) ).

cnf(c_0_9675_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(X1,c_0,X2)
    | c_less(c_0,c_uminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9675]) ).

cnf(c_0_9676_0,axiom,
    ( c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9676]) ).

cnf(c_0_9676_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9676]) ).

cnf(c_0_9676_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_lessequals(c_uminus(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9676]) ).

cnf(c_0_9677_0,axiom,
    ( c_less(c_uminus(X1,X2),c_0,X2)
    | ~ c_less(c_0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9677]) ).

cnf(c_0_9677_1,axiom,
    ( ~ c_less(c_0,X1,X2)
    | c_less(c_uminus(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9677]) ).

cnf(c_0_9677_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_less(c_0,X1,X2)
    | c_less(c_uminus(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9677]) ).

cnf(c_0_9678_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9678]) ).

cnf(c_0_9678_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9678]) ).

cnf(c_0_9678_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9678]) ).

cnf(c_0_9678_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X3),X3)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9678]) ).

cnf(c_0_9679_0,axiom,
    ( c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2)
    | ~ c_Parity_Oeven(X3,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9679]) ).

cnf(c_0_9679_1,axiom,
    ( ~ c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9679]) ).

cnf(c_0_9679_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9679]) ).

cnf(c_0_9679_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ c_Parity_Oeven(X3,tc_nat)
    | c_Nat_Opower(c_uminus(X1,X2),X3,X2) = c_Nat_Opower(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9679]) ).

cnf(c_0_9680_0,axiom,
    ( X1 = X2
    | c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9680]) ).

cnf(c_0_9680_1,axiom,
    ( c_insert(X1,c_emptyset,X3) != c_insert(X2,c_emptyset,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9680]) ).

cnf(c_0_9681_0,axiom,
    ( X1 = X2
    | c_plus(X3,X1,tc_nat) != c_plus(X3,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9681]) ).

cnf(c_0_9681_1,axiom,
    ( c_plus(X3,X1,tc_nat) != c_plus(X3,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9681]) ).

cnf(c_0_9682_0,axiom,
    ( X1 = X2
    | c_plus(X1,X3,tc_nat) != c_plus(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9682]) ).

cnf(c_0_9682_1,axiom,
    ( c_plus(X1,X3,tc_nat) != c_plus(X2,X3,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9682]) ).

cnf(c_0_9683_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | c_Numeral_Onumber__of(X1,X3) != c_Numeral_Onumber__of(X2,X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9683]) ).

cnf(c_0_9683_1,axiom,
    ( c_Numeral_Onumber__of(X1,X3) != c_Numeral_Onumber__of(X2,X3)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3)
    | ~ class_Numeral_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9683]) ).

cnf(c_0_9683_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X3)
    | c_Numeral_Onumber__of(X1,X3) != c_Numeral_Onumber__of(X2,X3)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9683]) ).

cnf(c_0_9684_0,axiom,
    ( c_times(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_times(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9684]) ).

cnf(c_0_9684_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_times(c_uminus(X1,X2),c_uminus(X3,X2),X2) = c_times(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9684]) ).

cnf(c_0_9685_0,axiom,
    ( c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9685]) ).

cnf(c_0_9685_1,axiom,
    ( ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9685]) ).

cnf(c_0_9685_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9685]) ).

cnf(c_0_9686_0,axiom,
    ( c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9686]) ).

cnf(c_0_9686_1,axiom,
    ( ~ c_less(c_0,X1,tc_IntDef_Oint)
    | c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9686]) ).

cnf(c_0_9686_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,X1,tc_IntDef_Oint)
    | c_less(c_0,c_IntDef_Oof__int(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9686]) ).

cnf(c_0_9687_0,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9687]) ).

cnf(c_0_9687_1,axiom,
    ( ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9687]) ).

cnf(c_0_9687_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9687]) ).

cnf(c_0_9688_0,axiom,
    ( c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ c_less(X1,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9688]) ).

cnf(c_0_9688_1,axiom,
    ( ~ c_less(X1,c_0,tc_IntDef_Oint)
    | c_less(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9688]) ).

cnf(c_0_9688_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(X1,c_0,tc_IntDef_Oint)
    | c_less(c_IntDef_Oof__int(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9688]) ).

cnf(c_0_9689_0,axiom,
    ( c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9689]) ).

cnf(c_0_9689_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9689]) ).

cnf(c_0_9689_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9689]) ).

cnf(c_0_9690_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9690]) ).

cnf(c_0_9690_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9690]) ).

cnf(c_0_9691_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9691]) ).

cnf(c_0_9691_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9691]) ).

cnf(c_0_9691_2,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9691]) ).

cnf(c_0_9691_3,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9691]) ).

cnf(c_0_9692_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9692]) ).

cnf(c_0_9692_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9692]) ).

cnf(c_0_9692_2,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9692]) ).

cnf(c_0_9692_3,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9692]) ).

cnf(c_0_9693_0,axiom,
    ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(literals_permutation,[status(thm)],[c_0_9693]) ).

cnf(c_0_9693_1,axiom,
    ( ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9693]) ).

cnf(c_0_9694_0,axiom,
    ( c_plus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9694]) ).

cnf(c_0_9694_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_plus(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9694]) ).

cnf(c_0_9695_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9695]) ).

cnf(c_0_9695_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_plus(c_Numeral_Onumber__of(X1,X2),c_1,X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9695]) ).

cnf(c_0_9696_0,axiom,
    ( c_minus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9696]) ).

cnf(c_0_9696_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_minus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9696]) ).

cnf(c_0_9697_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9697]) ).

cnf(c_0_9697_1,axiom,
    ( ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9697]) ).

cnf(c_0_9698_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9698]) ).

cnf(c_0_9698_1,axiom,
    ( ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9698]) ).

cnf(c_0_9699_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9699]) ).

cnf(c_0_9699_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9699]) ).

cnf(c_0_9699_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9699]) ).

cnf(c_0_9699_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X2),X2)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9699]) ).

cnf(c_0_9700_0,axiom,
    ( c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1
    | c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9700]) ).

cnf(c_0_9700_1,axiom,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) != c_0
    | c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9700]) ).

cnf(c_0_9701_0,axiom,
    ( c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9701]) ).

cnf(c_0_9701_1,axiom,
    ( c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0
    | c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9701]) ).

cnf(c_0_9702_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9702]) ).

cnf(c_0_9702_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9702]) ).

cnf(c_0_9703_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9703]) ).

cnf(c_0_9703_1,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9703]) ).

cnf(c_0_9704_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9704]) ).

cnf(c_0_9704_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9704]) ).

cnf(c_0_9705_0,axiom,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9705]) ).

cnf(c_0_9705_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9705]) ).

cnf(c_0_9706_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9706]) ).

cnf(c_0_9706_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9706]) ).

cnf(c_0_9707_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) != c_List_Orev(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9707]) ).

cnf(c_0_9707_1,axiom,
    ( c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) != c_List_Orev(X1,X3)
    | X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9707]) ).

cnf(c_0_9708_0,axiom,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = X1
    | X2 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9708]) ).

cnf(c_0_9708_1,axiom,
    ( X2 = c_0
    | c_div(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9708]) ).

cnf(c_0_9709_0,axiom,
    ( c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9709]) ).

cnf(c_0_9709_1,axiom,
    ( X1 = c_0
    | c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9709]) ).

cnf(c_0_9710_0,axiom,
    ( X1 = X2
    | c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9710]) ).

cnf(c_0_9710_1,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9710]) ).

cnf(c_0_9710_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_less(X1,X2,tc_set(X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9710]) ).

cnf(c_0_9711_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9711]) ).

cnf(c_0_9711_1,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9711]) ).

cnf(c_0_9712_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9712]) ).

cnf(c_0_9712_1,axiom,
    ( ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9712]) ).

cnf(c_0_9713_0,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9713]) ).

cnf(c_0_9713_1,axiom,
    ( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9713]) ).

cnf(c_0_9714_0,axiom,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9714]) ).

cnf(c_0_9714_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9714]) ).

cnf(c_0_9714_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9714]) ).

cnf(c_0_9715_0,axiom,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9715]) ).

cnf(c_0_9715_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9715]) ).

cnf(c_0_9715_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9715]) ).

cnf(c_0_9716_0,axiom,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9716]) ).

cnf(c_0_9716_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9716]) ).

cnf(c_0_9716_2,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9716]) ).

cnf(c_0_9717_0,axiom,
    ( X1 = c_0
    | c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9717]) ).

cnf(c_0_9717_1,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9717]) ).

cnf(c_0_9718_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9718]) ).

cnf(c_0_9718_1,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9718]) ).

cnf(c_0_9719_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9719]) ).

cnf(c_0_9719_1,axiom,
    ( c_minus(X1,X2,tc_set(X3)) != c_emptyset
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9719]) ).

cnf(c_0_9720_0,axiom,
    ( c_minus(X1,X2,tc_set(X3)) = c_emptyset
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9720]) ).

cnf(c_0_9720_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9720]) ).

cnf(c_0_9721_0,axiom,
    ( c_List_Orotate1(X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9721]) ).

cnf(c_0_9721_1,axiom,
    ( ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat)
    | c_List_Orotate1(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9721]) ).

cnf(c_0_9722_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9722]) ).

cnf(c_0_9722_1,axiom,
    ( ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9722]) ).

cnf(c_0_9723_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9723]) ).

cnf(c_0_9723_1,axiom,
    ( ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9723]) ).

cnf(c_0_9724_0,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9724]) ).

cnf(c_0_9724_1,axiom,
    ( ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | c_less(X1,X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9724]) ).

cnf(c_0_9725_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9725]) ).

cnf(c_0_9725_1,axiom,
    ( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9725]) ).

cnf(c_0_9726_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9726]) ).

cnf(c_0_9726_1,axiom,
    ( ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9726]) ).

cnf(c_0_9727_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9727]) ).

cnf(c_0_9727_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9727]) ).

cnf(c_0_9728_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9728]) ).

cnf(c_0_9728_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9728]) ).

cnf(c_0_9729_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9729]) ).

cnf(c_0_9729_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9729]) ).

cnf(c_0_9730_0,axiom,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X2),c_IntDef_Onat(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9730]) ).

cnf(c_0_9730_1,axiom,
    ( ~ c_less(c_IntDef_Onat(X2),c_IntDef_Onat(X1),tc_nat)
    | c_less(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9730]) ).

cnf(c_0_9731_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9731]) ).

cnf(c_0_9731_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_plus(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9731]) ).

cnf(c_0_9732_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9732]) ).

cnf(c_0_9732_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_times(c_Numeral_Onumber__of(X1,X2),c_Numeral_Onumber__of(X3,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9732]) ).

cnf(c_0_9733_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9733]) ).

cnf(c_0_9733_1,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9733]) ).

cnf(c_0_9734_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(X2,X1,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9734]) ).

cnf(c_0_9734_1,axiom,
    ( c_Nat_Opower(X2,X1,X3) != c_0
    | c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9734]) ).

cnf(c_0_9734_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X2,X1,X3) != c_0
    | c_less(c_0,X1,tc_nat)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9734]) ).

cnf(c_0_9734_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X2,X1,X3) != c_0
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9734]) ).

cnf(c_0_9735_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9735]) ).

cnf(c_0_9735_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9735]) ).

cnf(c_0_9736_0,axiom,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9736]) ).

cnf(c_0_9736_1,axiom,
    ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | c_less(c_1,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9736]) ).

cnf(c_0_9737_0,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9737]) ).

cnf(c_0_9737_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9737]) ).

cnf(c_0_9737_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9737]) ).

cnf(c_0_9738_0,axiom,
    ( c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9738]) ).

cnf(c_0_9738_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9738]) ).

cnf(c_0_9739_0,axiom,
    ( c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9739]) ).

cnf(c_0_9739_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9739]) ).

cnf(c_0_9740_0,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9740]) ).

cnf(c_0_9740_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9740]) ).

cnf(c_0_9741_0,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9741]) ).

cnf(c_0_9741_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9741]) ).

cnf(c_0_9742_0,axiom,
    ( c_Nat_Opower(c_0,X1,X2) = c_0
    | ~ c_less(c_0,X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9742]) ).

cnf(c_0_9742_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9742]) ).

cnf(c_0_9742_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(c_0,X1,X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9742]) ).

cnf(c_0_9742_3,axiom,
    ( ~ class_Power_Orecpower(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_less(c_0,X1,tc_nat)
    | c_Nat_Opower(c_0,X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9742]) ).

cnf(c_0_9743_0,axiom,
    ( c_SetInterval_OatLeastAtMost(X1,X2,X3) = c_emptyset
    | ~ c_less(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9743]) ).

cnf(c_0_9743_1,axiom,
    ( ~ c_less(X2,X1,X3)
    | c_SetInterval_OatLeastAtMost(X1,X2,X3) = c_emptyset
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9743]) ).

cnf(c_0_9743_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_less(X2,X1,X3)
    | c_SetInterval_OatLeastAtMost(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9743]) ).

cnf(c_0_9744_0,axiom,
    ( c_SetInterval_OatLeastLessThan(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9744]) ).

cnf(c_0_9744_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_SetInterval_OatLeastLessThan(X1,X2,X3) = c_emptyset
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9744]) ).

cnf(c_0_9744_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_SetInterval_OatLeastLessThan(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9744]) ).

cnf(c_0_9745_0,axiom,
    ( c_SetInterval_OgreaterThanAtMost(X1,X2,X3) = c_emptyset
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9745]) ).

cnf(c_0_9745_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_SetInterval_OgreaterThanAtMost(X1,X2,X3) = c_emptyset
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9745]) ).

cnf(c_0_9745_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_SetInterval_OgreaterThanAtMost(X1,X2,X3) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9745]) ).

cnf(c_0_9746_0,axiom,
    ( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
    | c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9746]) ).

cnf(c_0_9746_1,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9746]) ).

cnf(c_0_9747_0,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9747]) ).

cnf(c_0_9747_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9747]) ).

cnf(c_0_9747_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9747]) ).

cnf(c_0_9747_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9747]) ).

cnf(c_0_9748_0,axiom,
    ( c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9748]) ).

cnf(c_0_9748_1,axiom,
    ( ~ c_less(c_1,X1,tc_IntDef_Oint)
    | c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9748]) ).

cnf(c_0_9749_0,axiom,
    ( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9749]) ).

cnf(c_0_9749_1,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9749]) ).

cnf(c_0_9750_0,axiom,
    ( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9750]) ).

cnf(c_0_9750_1,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9750]) ).

cnf(c_0_9751_0,axiom,
    ( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9751]) ).

cnf(c_0_9751_1,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9751]) ).

cnf(c_0_9752_0,axiom,
    ( c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9752]) ).

cnf(c_0_9752_1,axiom,
    ( ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9752]) ).

cnf(c_0_9753_0,axiom,
    ( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9753]) ).

cnf(c_0_9753_1,axiom,
    ( ~ c_List_Odistinct(X2,X3)
    | c_List_Odistinct(c_List_Otake(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9753]) ).

cnf(c_0_9754_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9754]) ).

cnf(c_0_9754_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9754]) ).

cnf(c_0_9755_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9755]) ).

cnf(c_0_9755_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9755]) ).

cnf(c_0_9756_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9756]) ).

cnf(c_0_9756_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9756]) ).

cnf(c_0_9757_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9757]) ).

cnf(c_0_9757_1,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(literals_permutation,[status(thm)],[c_0_9757]) ).

cnf(c_0_9758_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9758]) ).

cnf(c_0_9758_1,axiom,
    ( ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9758]) ).

cnf(c_0_9759_0,axiom,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9759]) ).

cnf(c_0_9759_1,axiom,
    ( ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | c_less(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9759]) ).

cnf(c_0_9760_0,axiom,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9760]) ).

cnf(c_0_9760_1,axiom,
    ( ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9760]) ).

cnf(c_0_9761_0,axiom,
    ( c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9761]) ).

cnf(c_0_9761_1,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9761]) ).

cnf(c_0_9761_2,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9761]) ).

cnf(c_0_9762_0,axiom,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9762]) ).

cnf(c_0_9762_1,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat)
    | c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9762]) ).

cnf(c_0_9762_2,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9762]) ).

cnf(c_0_9763_0,axiom,
    ( c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9763]) ).

cnf(c_0_9763_1,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9763]) ).

cnf(c_0_9763_2,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9763]) ).

cnf(c_0_9764_0,axiom,
    ( X1 = c_Datatype_Ooption_OSome(X2,X3)
    | ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9764]) ).

cnf(c_0_9764_1,axiom,
    ( ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3)
    | X1 = c_Datatype_Ooption_OSome(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9764]) ).

cnf(c_0_9765_0,axiom,
    ( c_minus(X1,c_uminus(X2,X3),X3) = c_plus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9765]) ).

cnf(c_0_9765_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_minus(X1,c_uminus(X2,X3),X3) = c_plus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9765]) ).

cnf(c_0_9766_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9766]) ).

cnf(c_0_9766_1,axiom,
    ( c_Numeral_Onumber__of(X1,X2) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9766]) ).

cnf(c_0_9766_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9766]) ).

cnf(c_0_9767_0,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9767]) ).

cnf(c_0_9767_1,axiom,
    ( c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9767]) ).

cnf(c_0_9768_0,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9768]) ).

cnf(c_0_9768_1,axiom,
    ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9768]) ).

cnf(c_0_9769_0,axiom,
    ( c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9769]) ).

cnf(c_0_9769_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9769]) ).

cnf(c_0_9770_0,axiom,
    ( c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9770]) ).

cnf(c_0_9770_1,axiom,
    ( ~ c_less(c_0,X1,tc_IntDef_Oint)
    | c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9770]) ).

cnf(c_0_9771_0,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9771]) ).

cnf(c_0_9771_1,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9771]) ).

cnf(c_0_9772_0,axiom,
    ( X1 = c_0
    | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9772]) ).

cnf(c_0_9772_1,axiom,
    ( c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9772]) ).

cnf(c_0_9772_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | X1 = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9772]) ).

cnf(c_0_9772_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X3) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9772]) ).

cnf(c_0_9773_0,axiom,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9773]) ).

cnf(c_0_9773_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_Divides_Oop_Amod(X1,X2,tc_nat) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9773]) ).

cnf(c_0_9774_0,axiom,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9774]) ).

cnf(c_0_9774_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9774]) ).

cnf(c_0_9775_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9775]) ).

cnf(c_0_9775_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9775]) ).

cnf(c_0_9775_2,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9775]) ).

cnf(c_0_9776_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9776]) ).

cnf(c_0_9776_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9776]) ).

cnf(c_0_9776_2,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9776]) ).

cnf(c_0_9777_0,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9777]) ).

cnf(c_0_9777_1,axiom,
    ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9777]) ).

cnf(c_0_9778_0,axiom,
    ( c_div(X1,X2,tc_nat) = c_0
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9778]) ).

cnf(c_0_9778_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_div(X1,X2,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9778]) ).

cnf(c_0_9779_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9779]) ).

cnf(c_0_9779_1,axiom,
    ( c_minus(X1,X2,tc_nat) != c_0
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9779]) ).

cnf(c_0_9780_0,axiom,
    ( c_minus(X1,X2,tc_nat) = c_0
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9780]) ).

cnf(c_0_9780_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9780]) ).

cnf(c_0_9781_0,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9781]) ).

cnf(c_0_9781_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9781]) ).

cnf(c_0_9782_0,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9782]) ).

cnf(c_0_9782_1,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9782]) ).

cnf(c_0_9783_0,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9783]) ).

cnf(c_0_9783_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9783]) ).

cnf(c_0_9784_0,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9784]) ).

cnf(c_0_9784_1,axiom,
    ( ~ c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9784]) ).

cnf(c_0_9785_0,axiom,
    ( c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9785]) ).

cnf(c_0_9785_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9785]) ).

cnf(c_0_9786_0,axiom,
    ( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9786]) ).

cnf(c_0_9786_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9786]) ).

cnf(c_0_9787_0,axiom,
    ( c_List_Olast(c_append(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9787]) ).

cnf(c_0_9787_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olast(c_append(X1,X2,X3),X3) = c_List_Olast(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9787]) ).

cnf(c_0_9788_0,axiom,
    ( X1 = c_0
    | c_LOrder_Ojoin(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9788]) ).

cnf(c_0_9788_1,axiom,
    ( c_LOrder_Ojoin(X1,c_uminus(X1,X2),X2) != c_0
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9788]) ).

cnf(c_0_9788_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | c_LOrder_Ojoin(X1,c_uminus(X1,X2),X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9788]) ).

cnf(c_0_9789_0,axiom,
    ( X1 = c_0
    | c_LOrder_Omeet(X1,c_uminus(X1,X2),X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9789]) ).

cnf(c_0_9789_1,axiom,
    ( c_LOrder_Omeet(X1,c_uminus(X1,X2),X2) != c_0
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9789]) ).

cnf(c_0_9789_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | c_LOrder_Omeet(X1,c_uminus(X1,X2),X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9789]) ).

cnf(c_0_9790_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1) = c_plus(c_1,c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9790]) ).

cnf(c_0_9790_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1) = c_plus(c_1,c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9790]) ).

cnf(c_0_9791_0,axiom,
    ( c_div(X1,X1,tc_nat) = c_1
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9791]) ).

cnf(c_0_9791_1,axiom,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_div(X1,X1,tc_nat) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9791]) ).

cnf(c_0_9792_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9792]) ).

cnf(c_0_9792_1,axiom,
    ( c_Numeral_Onumber__of(X1,X2) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9792]) ).

cnf(c_0_9792_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_Numeral_Onumber__of(X1,X2) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9792]) ).

cnf(c_0_9793_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9793]) ).

cnf(c_0_9793_1,axiom,
    ( ~ c_lessequals(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9793]) ).

cnf(c_0_9793_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_lessequals(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9793]) ).

cnf(c_0_9794_0,axiom,
    ( c_divide(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9794]) ).

cnf(c_0_9794_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X2),X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9794]) ).

cnf(c_0_9794_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_1,c_Numeral_Onumber__of(X1,X2),X2) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9794]) ).

cnf(c_0_9795_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9795]) ).

cnf(c_0_9795_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs(X1,X2),c_0,X2)
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9795]) ).

cnf(c_0_9795_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs(X1,X2),c_0,X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9795]) ).

cnf(c_0_9796_0,axiom,
    ( ~ c_less(c_NatArith_Oof__nat(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9796]) ).

cnf(c_0_9796_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_less(c_NatArith_Oof__nat(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9796]) ).

cnf(c_0_9797_0,axiom,
    ( ~ c_less(c_HOL_Oabs(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9797]) ).

cnf(c_0_9797_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | ~ c_less(c_HOL_Oabs(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9797]) ).

cnf(c_0_9798_0,axiom,
    ( ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9798]) ).

cnf(c_0_9798_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9798]) ).

cnf(c_0_9799_0,axiom,
    ( c_Finite__Set_OMax(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9799]) ).

cnf(c_0_9799_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9799]) ).

cnf(c_0_9800_0,axiom,
    ( c_Finite__Set_OMin(c_insert(X1,c_emptyset,X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9800]) ).

cnf(c_0_9800_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9800]) ).

cnf(c_0_9801_0,axiom,
    ( c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9801]) ).

cnf(c_0_9801_1,axiom,
    ( c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9801]) ).

cnf(c_0_9801_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9801]) ).

cnf(c_0_9801_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9801]) ).

cnf(c_0_9801_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9801]) ).

cnf(c_0_9802_0,axiom,
    ( c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9802]) ).

cnf(c_0_9802_1,axiom,
    ( c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9802]) ).

cnf(c_0_9802_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9802]) ).

cnf(c_0_9802_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9802]) ).

cnf(c_0_9802_4,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_0
    | c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9802]) ).

cnf(c_0_9803_0,axiom,
    ( c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9803]) ).

cnf(c_0_9803_1,axiom,
    ( X1 = c_0
    | c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9803]) ).

cnf(c_0_9804_0,axiom,
    ( c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9804]) ).

cnf(c_0_9804_1,axiom,
    ( ~ c_less(X1,X2,tc_nat)
    | c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9804]) ).

cnf(c_0_9805_0,axiom,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9805]) ).

cnf(c_0_9805_1,axiom,
    ( X1 = c_0
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9805]) ).

cnf(c_0_9806_0,axiom,
    ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9806]) ).

cnf(c_0_9806_1,axiom,
    ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9806]) ).

cnf(c_0_9807_0,axiom,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9807]) ).

cnf(c_0_9807_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9807]) ).

cnf(c_0_9807_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9807]) ).

cnf(c_0_9808_0,axiom,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9808]) ).

cnf(c_0_9808_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9808]) ).

cnf(c_0_9808_2,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2) = c_Numeral_Onumber__of(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9808]) ).

cnf(c_0_9809_0,axiom,
    ( c_divide(c_0,X1,X2) = c_divide(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9809]) ).

cnf(c_0_9809_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,X1,X2) = c_divide(c_0,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9809]) ).

cnf(c_0_9809_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,X1,X2) = c_divide(c_0,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9809]) ).

cnf(c_0_9810_0,axiom,
    ( c_divide(X1,c_0,X2) = c_divide(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9810]) ).

cnf(c_0_9810_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_0,X2) = c_divide(X3,c_0,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9810]) ).

cnf(c_0_9810_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_0,X2) = c_divide(X3,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9810]) ).

cnf(c_0_9811_0,axiom,
    ( X1 = c_UNIV
    | c_Inter(X2,X3) != c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9811]) ).

cnf(c_0_9811_1,axiom,
    ( c_Inter(X2,X3) != c_UNIV
    | X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9811]) ).

cnf(c_0_9811_2,axiom,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_Inter(X2,X3) != c_UNIV
    | X1 = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9811]) ).

cnf(c_0_9812_0,axiom,
    ( X1 = c_UNIV
    | c_Inter(X2,X3) != c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9812]) ).

cnf(c_0_9812_1,axiom,
    ( c_Inter(X2,X3) != c_UNIV
    | X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9812]) ).

cnf(c_0_9812_2,axiom,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_Inter(X2,X3) != c_UNIV
    | X1 = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9812]) ).

cnf(c_0_9813_0,axiom,
    ( X1 = c_emptyset
    | c_Union(X2,X3) != c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9813]) ).

cnf(c_0_9813_1,axiom,
    ( c_Union(X2,X3) != c_emptyset
    | X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9813]) ).

cnf(c_0_9813_2,axiom,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_Union(X2,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9813]) ).

cnf(c_0_9814_0,axiom,
    ( X1 = c_emptyset
    | c_Union(X2,X3) != c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9814]) ).

cnf(c_0_9814_1,axiom,
    ( c_Union(X2,X3) != c_emptyset
    | X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9814]) ).

cnf(c_0_9814_2,axiom,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_Union(X2,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9814]) ).

cnf(c_0_9815_0,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9815]) ).

cnf(c_0_9815_1,axiom,
    ( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2))
    | c_List_Oremdups(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9815]) ).

cnf(c_0_9816_0,axiom,
    ( c_HOL_Oabs(X1,X2) = c_uminus(X1,X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9816]) ).

cnf(c_0_9816_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_HOL_Oabs(X1,X2) = c_uminus(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9816]) ).

cnf(c_0_9816_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_HOL_Oabs(X1,X2) = c_uminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9816]) ).

cnf(c_0_9817_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9817]) ).

cnf(c_0_9817_1,axiom,
    ( ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9817]) ).

cnf(c_0_9818_0,axiom,
    ( X1 = c_emptyset
    | c_Finite__Set_Ocard(X1,X2) != c_0
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9818]) ).

cnf(c_0_9818_1,axiom,
    ( c_Finite__Set_Ocard(X1,X2) != c_0
    | X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9818]) ).

cnf(c_0_9818_2,axiom,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) != c_0
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9818]) ).

cnf(c_0_9819_0,axiom,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9819]) ).

cnf(c_0_9819_1,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9819]) ).

cnf(c_0_9819_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9819]) ).

cnf(c_0_9819_3,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9819]) ).

cnf(c_0_9820_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9820]) ).

cnf(c_0_9820_1,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9820]) ).

cnf(c_0_9820_2,axiom,
    ( ~ class_Power_Orecpower(X1)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9820]) ).

cnf(c_0_9820_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9820]) ).

cnf(c_0_9821_0,axiom,
    ( c_SetInterval_OatLeastAtMost(X1,X1,X2) = c_insert(X1,c_emptyset,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9821]) ).

cnf(c_0_9821_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_SetInterval_OatLeastAtMost(X1,X1,X2) = c_insert(X1,c_emptyset,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9821]) ).

cnf(c_0_9822_0,axiom,
    ( c_times(c_0,X1,X2) = c_times(c_0,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9822]) ).

cnf(c_0_9822_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_times(c_0,X1,X2) = c_times(c_0,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9822]) ).

cnf(c_0_9823_0,axiom,
    ( c_times(X1,c_0,X2) = c_times(X3,c_0,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9823]) ).

cnf(c_0_9823_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_times(X1,c_0,X2) = c_times(X3,c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9823]) ).

cnf(c_0_9824_0,axiom,
    ( c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9824]) ).

cnf(c_0_9824_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9824]) ).

cnf(c_0_9824_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9824]) ).

cnf(c_0_9824_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9824]) ).

cnf(c_0_9825_0,axiom,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9825]) ).

cnf(c_0_9825_1,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9825]) ).

cnf(c_0_9825_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9825]) ).

cnf(c_0_9825_3,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9825]) ).

cnf(c_0_9826_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ c_Parity_Oeven(X2,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9826]) ).

cnf(c_0_9826_1,axiom,
    ( ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9826]) ).

cnf(c_0_9826_2,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9826]) ).

cnf(c_0_9826_3,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9826]) ).

cnf(c_0_9827_0,axiom,
    ( c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9827]) ).

cnf(c_0_9827_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9827]) ).

cnf(c_0_9828_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9828]) ).

cnf(c_0_9828_1,axiom,
    ( c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9828]) ).

cnf(c_0_9829_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9829]) ).

cnf(c_0_9829_1,axiom,
    ( c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9829]) ).

cnf(c_0_9830_0,axiom,
    ( c_plus(c_NatArith_Oof__nat(X1,X2),c_1,X2) = c_NatArith_Oof__nat(c_Suc(X1),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9830]) ).

cnf(c_0_9830_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2)
    | c_plus(c_NatArith_Oof__nat(X1,X2),c_1,X2) = c_NatArith_Oof__nat(c_Suc(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9830]) ).

cnf(c_0_9831_0,axiom,
    ( c_HOL_Oabs(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9831]) ).

cnf(c_0_9831_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_HOL_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9831]) ).

cnf(c_0_9831_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_HOL_Oabs(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9831]) ).

cnf(c_0_9832_0,axiom,
    ( c_OrderedGroup_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9832]) ).

cnf(c_0_9832_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_OrderedGroup_Onprt(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9832]) ).

cnf(c_0_9832_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_OrderedGroup_Onprt(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9832]) ).

cnf(c_0_9833_0,axiom,
    ( c_OrderedGroup_Opprt(X1,X2) = X1
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9833]) ).

cnf(c_0_9833_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_OrderedGroup_Opprt(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9833]) ).

cnf(c_0_9833_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_OrderedGroup_Opprt(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9833]) ).

cnf(c_0_9834_0,axiom,
    ( c_OrderedGroup_Onprt(X1,X2) = c_0
    | ~ c_lessequals(c_0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9834]) ).

cnf(c_0_9834_1,axiom,
    ( ~ c_lessequals(c_0,X1,X2)
    | c_OrderedGroup_Onprt(X1,X2) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9834]) ).

cnf(c_0_9834_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(c_0,X1,X2)
    | c_OrderedGroup_Onprt(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9834]) ).

cnf(c_0_9835_0,axiom,
    ( c_OrderedGroup_Opprt(X1,X2) = c_0
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9835]) ).

cnf(c_0_9835_1,axiom,
    ( ~ c_lessequals(X1,c_0,X2)
    | c_OrderedGroup_Opprt(X1,X2) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9835]) ).

cnf(c_0_9835_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | ~ c_lessequals(X1,c_0,X2)
    | c_OrderedGroup_Opprt(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9835]) ).

cnf(c_0_9836_0,axiom,
    ( c_Finite__Set_Ocard(c_emptyset,X1) = c_0
    | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_9836]) ).

cnf(c_0_9836_1,axiom,
    ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1))
    | c_Finite__Set_Ocard(c_emptyset,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9836]) ).

cnf(c_0_9837_0,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_1
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9837]) ).

cnf(c_0_9837_1,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9837]) ).

cnf(c_0_9837_2,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9837]) ).

cnf(c_0_9838_0,axiom,
    ( X1 = c_0
    | X2 = c_0
    | c_divide(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9838]) ).

cnf(c_0_9838_1,axiom,
    ( X2 = c_0
    | X1 = c_0
    | c_divide(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9838]) ).

cnf(c_0_9838_2,axiom,
    ( c_divide(X1,X2,X3) != c_0
    | X2 = c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9838]) ).

cnf(c_0_9838_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_0
    | X2 = c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9838]) ).

cnf(c_0_9838_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_0
    | X2 = c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9838]) ).

cnf(c_0_9839_0,axiom,
    ( X1 = X2
    | c_divide(X1,X2,X3) != c_1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9839]) ).

cnf(c_0_9839_1,axiom,
    ( c_divide(X1,X2,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9839]) ).

cnf(c_0_9839_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9839]) ).

cnf(c_0_9839_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9839]) ).

cnf(c_0_9840_0,axiom,
    ( X1 = X2
    | c_divide(X2,X1,X3) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9840]) ).

cnf(c_0_9840_1,axiom,
    ( c_divide(X2,X1,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9840]) ).

cnf(c_0_9840_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(X2,X1,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9840]) ).

cnf(c_0_9840_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(X2,X1,X3) != c_1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9840]) ).

cnf(c_0_9841_0,axiom,
    ( X1 = X2
    | c_divide(X2,X1,X3) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9841]) ).

cnf(c_0_9841_1,axiom,
    ( c_divide(X2,X1,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9841]) ).

cnf(c_0_9841_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(X2,X1,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9841]) ).

cnf(c_0_9841_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3)
    | c_divide(X2,X1,X3) != c_1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9841]) ).

cnf(c_0_9842_0,axiom,
    ( X1 = X2
    | c_divide(X1,X2,X3) != c_1
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9842]) ).

cnf(c_0_9842_1,axiom,
    ( c_divide(X1,X2,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9842]) ).

cnf(c_0_9842_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_1
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9842]) ).

cnf(c_0_9842_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_divide(X1,X2,X3) != c_1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9842]) ).

cnf(c_0_9843_0,axiom,
    ( X1 = c_0
    | c_Nat_Opower(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9843]) ).

cnf(c_0_9843_1,axiom,
    ( c_Nat_Opower(X1,X2,X3) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9843]) ).

cnf(c_0_9843_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X1,X2,X3) != c_0
    | X1 = c_0
    | ~ class_Power_Orecpower(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9843]) ).

cnf(c_0_9843_3,axiom,
    ( ~ class_Power_Orecpower(X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Nat_Opower(X1,X2,X3) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9843]) ).

cnf(c_0_9844_0,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9844]) ).

cnf(c_0_9844_1,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2))
    | c_Inter(X1,X2) = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9844]) ).

cnf(c_0_9845_0,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9845]) ).

cnf(c_0_9845_1,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2))
    | c_Inter(X1,X2) = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9845]) ).

cnf(c_0_9846_0,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9846]) ).

cnf(c_0_9846_1,axiom,
    ( c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2))
    | c_Union(X1,X2) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9846]) ).

cnf(c_0_9847_0,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9847]) ).

cnf(c_0_9847_1,axiom,
    ( c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2))
    | c_Union(X1,X2) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9847]) ).

cnf(c_0_9848_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(X2) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9848]) ).

cnf(c_0_9848_1,axiom,
    ( c_IntDef_Oint(X2) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9848]) ).

cnf(c_0_9849_0,axiom,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9849]) ).

cnf(c_0_9849_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9849]) ).

cnf(c_0_9849_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9849]) ).

cnf(c_0_9850_0,axiom,
    ( X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3)
    | c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9850]) ).

cnf(c_0_9850_1,axiom,
    ( c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9850]) ).

cnf(c_0_9850_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3)
    | ~ class_Numeral_Onumber(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9850]) ).

cnf(c_0_9850_3,axiom,
    ( ~ class_Numeral_Onumber(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3)
    | c_Numeral_Onumber__of(X2,X3) != c_uminus(X1,X3)
    | X1 = c_uminus(c_Numeral_Onumber__of(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9850]) ).

cnf(c_0_9851_0,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3
    | c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9851]) ).

cnf(c_0_9851_1,axiom,
    ( c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9851]) ).

cnf(c_0_9851_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3
    | ~ class_Numeral_Onumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9851]) ).

cnf(c_0_9851_3,axiom,
    ( ~ class_Numeral_Onumber(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X3,X2) != c_Numeral_Onumber__of(X1,X2)
    | c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_9851]) ).

cnf(c_0_9852_0,axiom,
    ( X1 = c_0
    | c_divide(c_1,X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9852]) ).

cnf(c_0_9852_1,axiom,
    ( c_divide(c_1,X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9852]) ).

cnf(c_0_9852_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(c_1,X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9852]) ).

cnf(c_0_9852_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(c_1,X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9852]) ).

cnf(c_0_9853_0,axiom,
    ( X1 = c_0
    | c_divide(c_1,X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9853]) ).

cnf(c_0_9853_1,axiom,
    ( c_divide(c_1,X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9853]) ).

cnf(c_0_9853_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(c_1,X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9853]) ).

cnf(c_0_9853_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(c_1,X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9853]) ).

cnf(c_0_9854_0,axiom,
    ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9854]) ).

cnf(c_0_9854_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9854]) ).

cnf(c_0_9855_0,axiom,
    ( c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9855]) ).

cnf(c_0_9855_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X2),X2) = c_uminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9855]) ).

cnf(c_0_9856_0,axiom,
    ( c_List_Oupt(X1,X2) = c_List_Olist_ONil
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9856]) ).

cnf(c_0_9856_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | c_List_Oupt(X1,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9856]) ).

cnf(c_0_9857_0,axiom,
    ( c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9857]) ).

cnf(c_0_9857_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9857]) ).

cnf(c_0_9857_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(X1,c_0,X2) != c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9857]) ).

cnf(c_0_9858_0,axiom,
    ( c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9858]) ).

cnf(c_0_9858_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(X1,c_0,X2) != c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9858]) ).

cnf(c_0_9858_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | c_divide(X1,c_0,X2) != c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9858]) ).

cnf(c_0_9859_0,axiom,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9859]) ).

cnf(c_0_9859_1,axiom,
    ( X2 = c_0
    | X1 = c_1
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9859]) ).

cnf(c_0_9859_2,axiom,
    ( c_times(X2,X1,X3) != X2
    | X2 = c_0
    | X1 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9859]) ).

cnf(c_0_9859_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_times(X2,X1,X3) != X2
    | X2 = c_0
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9859]) ).

cnf(c_0_9860_0,axiom,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9860]) ).

cnf(c_0_9860_1,axiom,
    ( X2 = c_0
    | X1 = c_1
    | c_times(X2,X1,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9860]) ).

cnf(c_0_9860_2,axiom,
    ( c_times(X2,X1,X3) != X2
    | X2 = c_0
    | X1 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9860]) ).

cnf(c_0_9860_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_times(X2,X1,X3) != X2
    | X2 = c_0
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9860]) ).

cnf(c_0_9861_0,axiom,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9861]) ).

cnf(c_0_9861_1,axiom,
    ( X2 = c_0
    | X1 = c_1
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9861]) ).

cnf(c_0_9861_2,axiom,
    ( c_times(X1,X2,X3) != X2
    | X2 = c_0
    | X1 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9861]) ).

cnf(c_0_9861_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_times(X1,X2,X3) != X2
    | X2 = c_0
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9861]) ).

cnf(c_0_9862_0,axiom,
    ( X1 = c_1
    | X2 = c_0
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9862]) ).

cnf(c_0_9862_1,axiom,
    ( X2 = c_0
    | X1 = c_1
    | c_times(X1,X2,X3) != X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9862]) ).

cnf(c_0_9862_2,axiom,
    ( c_times(X1,X2,X3) != X2
    | X2 = c_0
    | X1 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9862]) ).

cnf(c_0_9862_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_times(X1,X2,X3) != X2
    | X2 = c_0
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9862]) ).

cnf(c_0_9863_0,axiom,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9863]) ).

cnf(c_0_9863_1,axiom,
    ( X2 = c_0
    | X1 = c_0
    | c_times(X1,X2,X3) != c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9863]) ).

cnf(c_0_9863_2,axiom,
    ( c_times(X1,X2,X3) != c_0
    | X2 = c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9863]) ).

cnf(c_0_9863_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | c_times(X1,X2,X3) != c_0
    | X2 = c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9863]) ).

cnf(c_0_9864_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9864]) ).

cnf(c_0_9864_1,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9864]) ).

cnf(c_0_9864_2,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X2) = c_0
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9864]) ).

cnf(c_0_9865_0,axiom,
    ( X1 = X2
    | c_minus(X1,X2,X3) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9865]) ).

cnf(c_0_9865_1,axiom,
    ( c_minus(X1,X2,X3) != c_0
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9865]) ).

cnf(c_0_9865_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_minus(X1,X2,X3) != c_0
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9865]) ).

cnf(c_0_9866_0,axiom,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9866]) ).

cnf(c_0_9866_1,axiom,
    ( ~ c_lessequals(X1,c_emptyset,tc_set(X2))
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9866]) ).

cnf(c_0_9867_0,axiom,
    ( c_HOL_Oabs(c_HOL_Oinverse(X1,X2),X2) = c_HOL_Oinverse(c_HOL_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9867]) ).

cnf(c_0_9867_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oabs(c_HOL_Oinverse(X1,X2),X2) = c_HOL_Oinverse(c_HOL_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9867]) ).

cnf(c_0_9867_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oabs(c_HOL_Oinverse(X1,X2),X2) = c_HOL_Oinverse(c_HOL_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9867]) ).

cnf(c_0_9868_0,axiom,
    ( c_HOL_Oinverse(c_uminus(X1,X2),X2) = c_uminus(c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9868]) ).

cnf(c_0_9868_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(c_uminus(X1,X2),X2) = c_uminus(c_HOL_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9868]) ).

cnf(c_0_9868_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(c_uminus(X1,X2),X2) = c_uminus(c_HOL_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9868]) ).

cnf(c_0_9869_0,axiom,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_Numeral_Onumber__of(X1,X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9869]) ).

cnf(c_0_9869_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_Numeral_Onumber__of(X1,X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9869]) ).

cnf(c_0_9869_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X2) = c_Numeral_Onumber__of(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9869]) ).

cnf(c_0_9870_0,axiom,
    ( ~ c_less(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9870]) ).

cnf(c_0_9870_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_less(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9870]) ).

cnf(c_0_9871_0,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9871]) ).

cnf(c_0_9871_1,axiom,
    ( ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_IntDef_Oint(c_IntDef_Onat(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9871]) ).

cnf(c_0_9872_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9872]) ).

cnf(c_0_9872_1,axiom,
    ( ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9872]) ).

cnf(c_0_9873_0,axiom,
    ( X1 = c_Suc(c_0)
    | ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9873]) ).

cnf(c_0_9873_1,axiom,
    ( ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat)
    | X1 = c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9873]) ).

cnf(c_0_9874_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9874]) ).

cnf(c_0_9874_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9874]) ).

cnf(c_0_9874_2,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9874]) ).

cnf(c_0_9875_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9875]) ).

cnf(c_0_9875_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9875]) ).

cnf(c_0_9875_2,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9875]) ).

cnf(c_0_9876_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9876]) ).

cnf(c_0_9876_1,axiom,
    ( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9876]) ).

cnf(c_0_9877_0,axiom,
    ( c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2))
    | c_List_Oremdups(X1,X2) != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9877]) ).

cnf(c_0_9877_1,axiom,
    ( c_List_Oremdups(X1,X2) != X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9877]) ).

cnf(c_0_9878_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9878]) ).

cnf(c_0_9878_1,axiom,
    ( ~ c_less(X1,c_Suc(c_0),tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9878]) ).

cnf(c_0_9879_0,axiom,
    ( c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9879]) ).

cnf(c_0_9879_1,axiom,
    ( X1 = c_0
    | c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9879]) ).

cnf(c_0_9879_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | X1 = c_0
    | c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9879]) ).

cnf(c_0_9880_0,axiom,
    ( c_times(X1,c_HOL_Oinverse(X1,X2),X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9880]) ).

cnf(c_0_9880_1,axiom,
    ( X1 = c_0
    | c_times(X1,c_HOL_Oinverse(X1,X2),X2) = c_1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9880]) ).

cnf(c_0_9880_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | X1 = c_0
    | c_times(X1,c_HOL_Oinverse(X1,X2),X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9880]) ).

cnf(c_0_9881_0,axiom,
    ( X1 = c_List_Olist_ONil
    | X2 = c_0
    | c_List_Otake(X2,X1,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9881]) ).

cnf(c_0_9881_1,axiom,
    ( X2 = c_0
    | X1 = c_List_Olist_ONil
    | c_List_Otake(X2,X1,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9881]) ).

cnf(c_0_9881_2,axiom,
    ( c_List_Otake(X2,X1,X3) != c_List_Olist_ONil
    | X2 = c_0
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9881]) ).

cnf(c_0_9882_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9882]) ).

cnf(c_0_9882_1,axiom,
    ( c_append(X1,X2,X3) != X2
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9882]) ).

cnf(c_0_9883_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9883]) ).

cnf(c_0_9883_1,axiom,
    ( c_append(X2,X1,X3) != X2
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9883]) ).

cnf(c_0_9884_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9884]) ).

cnf(c_0_9884_1,axiom,
    ( c_append(X1,X2,X3) != X2
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9884]) ).

cnf(c_0_9885_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9885]) ).

cnf(c_0_9885_1,axiom,
    ( c_append(X2,X1,X3) != X2
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9885]) ).

cnf(c_0_9886_0,axiom,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9886]) ).

cnf(c_0_9886_1,axiom,
    ( c_times(X1,X2,tc_nat) != c_Suc(c_0)
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9886]) ).

cnf(c_0_9887_0,axiom,
    ( X1 = c_1
    | c_times(X2,X1,tc_nat) != c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9887]) ).

cnf(c_0_9887_1,axiom,
    ( c_times(X2,X1,tc_nat) != c_Suc(c_0)
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9887]) ).

cnf(c_0_9888_0,axiom,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9888]) ).

cnf(c_0_9888_1,axiom,
    ( c_times(X1,X2,tc_nat) != c_Suc(c_0)
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9888]) ).

cnf(c_0_9889_0,axiom,
    ( X1 = c_1
    | c_times(X2,X1,tc_nat) != c_Suc(c_0) ),
    inference(literals_permutation,[status(thm)],[c_0_9889]) ).

cnf(c_0_9889_1,axiom,
    ( c_times(X2,X1,tc_nat) != c_Suc(c_0)
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9889]) ).

cnf(c_0_9890_0,axiom,
    ( ~ c_lessequals(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9890]) ).

cnf(c_0_9890_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_1,c_0,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9890]) ).

cnf(c_0_9891_0,axiom,
    ( ~ c_less(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9891]) ).

cnf(c_0_9891_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,c_0,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9891]) ).

cnf(c_0_9892_0,axiom,
    ( c_plus(c_uminus(X1,X2),X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9892]) ).

cnf(c_0_9892_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_plus(c_uminus(X1,X2),X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9892]) ).

cnf(c_0_9893_0,axiom,
    ( c_plus(X1,c_uminus(X1,X2),X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9893]) ).

cnf(c_0_9893_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_plus(X1,c_uminus(X1,X2),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9893]) ).

cnf(c_0_9894_0,axiom,
    ( X1 = c_0
    | c_less(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9894]) ).

cnf(c_0_9894_1,axiom,
    ( c_less(c_0,c_HOL_Oabs(X1,X2),X2)
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9894]) ).

cnf(c_0_9894_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_less(c_0,c_HOL_Oabs(X1,X2),X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9894]) ).

cnf(c_0_9895_0,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9895]) ).

cnf(c_0_9895_1,axiom,
    ( c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9895]) ).

cnf(c_0_9896_0,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9896]) ).

cnf(c_0_9896_1,axiom,
    ( c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9896]) ).

cnf(c_0_9897_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9897]) ).

cnf(c_0_9897_1,axiom,
    ( c_append(X1,X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9897]) ).

cnf(c_0_9898_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9898]) ).

cnf(c_0_9898_1,axiom,
    ( c_append(X2,X1,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9898]) ).

cnf(c_0_9899_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9899]) ).

cnf(c_0_9899_1,axiom,
    ( c_append(X1,X2,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9899]) ).

cnf(c_0_9900_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X2,X1,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9900]) ).

cnf(c_0_9900_1,axiom,
    ( c_append(X2,X1,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9900]) ).

cnf(c_0_9901_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9901]) ).

cnf(c_0_9901_1,axiom,
    ( c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9901]) ).

cnf(c_0_9902_0,axiom,
    ( X1 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9902]) ).

cnf(c_0_9902_1,axiom,
    ( c_inter(X1,X2,X3) != c_UNIV
    | X1 = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9902]) ).

cnf(c_0_9903_0,axiom,
    ( X1 = c_UNIV
    | c_inter(X2,X1,X3) != c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9903]) ).

cnf(c_0_9903_1,axiom,
    ( c_inter(X2,X1,X3) != c_UNIV
    | X1 = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_9903]) ).

cnf(c_0_9904_0,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9904]) ).

cnf(c_0_9904_1,axiom,
    ( c_union(X1,X2,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9904]) ).

cnf(c_0_9905_0,axiom,
    ( X1 = c_emptyset
    | c_union(X2,X1,X3) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9905]) ).

cnf(c_0_9905_1,axiom,
    ( c_union(X2,X1,X3) != c_emptyset
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9905]) ).

cnf(c_0_9906_0,axiom,
    ( X1 = c_0
    | X2 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9906]) ).

cnf(c_0_9906_1,axiom,
    ( X2 = c_0
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9906]) ).

cnf(c_0_9906_2,axiom,
    ( c_times(X1,X2,tc_nat) != c_0
    | X2 = c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9906]) ).

cnf(c_0_9907_0,axiom,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9907]) ).

cnf(c_0_9907_1,axiom,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_Message_OinvKey(X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9907]) ).

cnf(c_0_9908_0,axiom,
    ( c_in(c_NatArith_Oof__nat(X1,X2),c_IntDef_ONats,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9908]) ).

cnf(c_0_9908_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2)
    | c_in(c_NatArith_Oof__nat(X1,X2),c_IntDef_ONats,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9908]) ).

cnf(c_0_9909_0,axiom,
    ( c_lessequals(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9909]) ).

cnf(c_0_9909_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9909]) ).

cnf(c_0_9910_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9910]) ).

cnf(c_0_9910_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_lessequals(c_0,c_HOL_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9910]) ).

cnf(c_0_9911_0,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9911]) ).

cnf(c_0_9911_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | c_lessequals(c_OrderedGroup_Onprt(X1,X2),c_0,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9911]) ).

cnf(c_0_9912_0,axiom,
    ( c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9912]) ).

cnf(c_0_9912_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X2)
    | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9912]) ).

cnf(c_0_9913_0,axiom,
    ( c_IntDef_Onat(X1) = c_0
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9913]) ).

cnf(c_0_9913_1,axiom,
    ( ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | c_IntDef_Onat(X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9913]) ).

cnf(c_0_9914_0,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9914]) ).

cnf(c_0_9914_1,axiom,
    ( c_plus(X1,X2,tc_nat) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9914]) ).

cnf(c_0_9915_0,axiom,
    ( X1 = c_0
    | c_plus(X2,X1,tc_nat) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9915]) ).

cnf(c_0_9915_1,axiom,
    ( c_plus(X2,X1,tc_nat) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9915]) ).

cnf(c_0_9916_0,axiom,
    ( c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X2) = c_uminus(c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9916]) ).

cnf(c_0_9916_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X2) = c_uminus(c_IntDef_Oof__int(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9916]) ).

cnf(c_0_9917_0,axiom,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9917]) ).

cnf(c_0_9917_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9917]) ).

cnf(c_0_9918_0,axiom,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9918]) ).

cnf(c_0_9918_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9918]) ).

cnf(c_0_9919_0,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9919]) ).

cnf(c_0_9919_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9919]) ).

cnf(c_0_9920_0,axiom,
    ( c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9920]) ).

cnf(c_0_9920_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9920]) ).

cnf(c_0_9921_0,axiom,
    ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9921]) ).

cnf(c_0_9921_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9921]) ).

cnf(c_0_9922_0,axiom,
    ( c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9922]) ).

cnf(c_0_9922_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9922]) ).

cnf(c_0_9923_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9923]) ).

cnf(c_0_9923_1,axiom,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9923]) ).

cnf(c_0_9924_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9924]) ).

cnf(c_0_9924_1,axiom,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9924]) ).

cnf(c_0_9925_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9925]) ).

cnf(c_0_9925_1,axiom,
    ( ~ c_lessequals(X1,c_0,tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9925]) ).

cnf(c_0_9926_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9926]) ).

cnf(c_0_9926_1,axiom,
    ( ~ c_less(X1,c_1,tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9926]) ).

cnf(c_0_9927_0,axiom,
    ( X1 = c_emptyset
    | c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9927]) ).

cnf(c_0_9927_1,axiom,
    ( c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2)
    | X1 = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_9927]) ).

cnf(c_0_9928_0,axiom,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9928]) ).

cnf(c_0_9928_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9928]) ).

cnf(c_0_9929_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9929]) ).

cnf(c_0_9929_1,axiom,
    ( ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9929]) ).

cnf(c_0_9930_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9930]) ).

cnf(c_0_9930_1,axiom,
    ( ~ c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9930]) ).

cnf(c_0_9931_0,axiom,
    ( X1 = c_0
    | c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X2,X1) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9931]) ).

cnf(c_0_9931_1,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | X1 = c_0
    | c_List_Oupt(X2,X1) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9931]) ).

cnf(c_0_9931_2,axiom,
    ( c_List_Oupt(X2,X1) != c_List_Olist_ONil
    | c_lessequals(X1,X2,tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9931]) ).

cnf(c_0_9932_0,axiom,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_OHPair(X2,X3) != c_Message_Omsg_OMPair(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_9932]) ).

cnf(c_0_9932_1,axiom,
    ( c_Message_OHPair(X2,X3) != c_Message_Omsg_OMPair(X1,X4)
    | X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9932]) ).

cnf(c_0_9933_0,axiom,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3))
    | c_Message_Omsg_OMPair(X1,X4) != c_Message_OHPair(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9933]) ).

cnf(c_0_9933_1,axiom,
    ( c_Message_Omsg_OMPair(X1,X4) != c_Message_OHPair(X2,X3)
    | X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9933]) ).

cnf(c_0_9934_0,axiom,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9934]) ).

cnf(c_0_9934_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9934]) ).

cnf(c_0_9935_0,axiom,
    ( c_minus(c_0,X1,X2) = c_uminus(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9935]) ).

cnf(c_0_9935_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_minus(c_0,X1,X2) = c_uminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9935]) ).

cnf(c_0_9936_0,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_0
    | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9936]) ).

cnf(c_0_9936_1,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9936]) ).

cnf(c_0_9937_0,axiom,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_9937]) ).

cnf(c_0_9937_1,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_9937]) ).

cnf(c_0_9938_0,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9938]) ).

cnf(c_0_9938_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9938]) ).

cnf(c_0_9938_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9938]) ).

cnf(c_0_9939_0,axiom,
    ( c_divide(X1,X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9939]) ).

cnf(c_0_9939_1,axiom,
    ( X1 = c_0
    | c_divide(X1,X1,X2) = c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9939]) ).

cnf(c_0_9939_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | X1 = c_0
    | c_divide(X1,X1,X2) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9939]) ).

cnf(c_0_9939_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | X1 = c_0
    | c_divide(X1,X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9939]) ).

cnf(c_0_9940_0,axiom,
    ( c_divide(X1,X1,X2) = c_1
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9940]) ).

cnf(c_0_9940_1,axiom,
    ( X1 = c_0
    | c_divide(X1,X1,X2) = c_1
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9940]) ).

cnf(c_0_9940_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | X1 = c_0
    | c_divide(X1,X1,X2) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9940]) ).

cnf(c_0_9940_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | X1 = c_0
    | c_divide(X1,X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9940]) ).

cnf(c_0_9941_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9941]) ).

cnf(c_0_9941_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9941]) ).

cnf(c_0_9942_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9942]) ).

cnf(c_0_9942_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_9942]) ).

cnf(c_0_9943_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9943]) ).

cnf(c_0_9943_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9943]) ).

cnf(c_0_9944_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9944]) ).

cnf(c_0_9944_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9944]) ).

cnf(c_0_9945_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9945]) ).

cnf(c_0_9945_1,axiom,
    ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9945]) ).

cnf(c_0_9946_0,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9946]) ).

cnf(c_0_9946_1,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9946]) ).

cnf(c_0_9947_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9947]) ).

cnf(c_0_9947_1,axiom,
    ( ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9947]) ).

cnf(c_0_9948_0,axiom,
    ( c_divide(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9948]) ).

cnf(c_0_9948_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9948]) ).

cnf(c_0_9948_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(c_0,X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9948]) ).

cnf(c_0_9949_0,axiom,
    ( c_divide(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9949]) ).

cnf(c_0_9949_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9949]) ).

cnf(c_0_9949_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9949]) ).

cnf(c_0_9950_0,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2)
    | ~ class_Numeral_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9950]) ).

cnf(c_0_9950_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X2)
    | c_uminus(c_Numeral_Onumber__of(X1,X2),X2) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9950]) ).

cnf(c_0_9951_0,axiom,
    ( c_uminus(c_SetInterval_OatLeast(X1,X2),tc_set(X2)) = c_SetInterval_OlessThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9951]) ).

cnf(c_0_9951_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_uminus(c_SetInterval_OatLeast(X1,X2),tc_set(X2)) = c_SetInterval_OlessThan(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9951]) ).

cnf(c_0_9952_0,axiom,
    ( c_uminus(c_SetInterval_OatMost(X1,X2),tc_set(X2)) = c_SetInterval_OgreaterThan(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9952]) ).

cnf(c_0_9952_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_uminus(c_SetInterval_OatMost(X1,X2),tc_set(X2)) = c_SetInterval_OgreaterThan(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9952]) ).

cnf(c_0_9953_0,axiom,
    ( c_uminus(c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) = c_SetInterval_OatMost(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9953]) ).

cnf(c_0_9953_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_uminus(c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) = c_SetInterval_OatMost(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9953]) ).

cnf(c_0_9954_0,axiom,
    ( c_uminus(c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_SetInterval_OatLeast(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9954]) ).

cnf(c_0_9954_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_uminus(c_SetInterval_OlessThan(X1,X2),tc_set(X2)) = c_SetInterval_OatLeast(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9954]) ).

cnf(c_0_9955_0,axiom,
    ( c_Nat_Opower(c_0,c_Suc(X1),X2) = c_0
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9955]) ).

cnf(c_0_9955_1,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(c_0,c_Suc(X1),X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9955]) ).

cnf(c_0_9956_0,axiom,
    ( c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9956]) ).

cnf(c_0_9956_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9956]) ).

cnf(c_0_9956_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(c_0,c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9956]) ).

cnf(c_0_9957_0,axiom,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9957]) ).

cnf(c_0_9957_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9957]) ).

cnf(c_0_9957_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9957]) ).

cnf(c_0_9958_0,axiom,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9958]) ).

cnf(c_0_9958_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9958]) ).

cnf(c_0_9958_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9958]) ).

cnf(c_0_9959_0,axiom,
    ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9959]) ).

cnf(c_0_9959_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9959]) ).

cnf(c_0_9960_0,axiom,
    ( X1 = X2
    | c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_9960]) ).

cnf(c_0_9960_1,axiom,
    ( c_uminus(X1,tc_set(X3)) != c_uminus(X2,tc_set(X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9960]) ).

cnf(c_0_9961_0,axiom,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9961]) ).

cnf(c_0_9961_1,axiom,
    ( ~ c_List_Odistinct(X1,X2)
    | c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9961]) ).

cnf(c_0_9962_0,axiom,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9962]) ).

cnf(c_0_9962_1,axiom,
    ( ~ c_List_Odistinct(X1,X2)
    | c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9962]) ).

cnf(c_0_9963_0,axiom,
    ( c_LOrder_Ojoin(X1,X1,X2) = X1
    | ~ class_LOrder_Ojoin__semilorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9963]) ).

cnf(c_0_9963_1,axiom,
    ( ~ class_LOrder_Ojoin__semilorder(X2)
    | c_LOrder_Ojoin(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9963]) ).

cnf(c_0_9964_0,axiom,
    ( c_LOrder_Omeet(X1,X1,X2) = X1
    | ~ class_LOrder_Omeet__semilorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9964]) ).

cnf(c_0_9964_1,axiom,
    ( ~ class_LOrder_Omeet__semilorder(X2)
    | c_LOrder_Omeet(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9964]) ).

cnf(c_0_9965_0,axiom,
    ( c_Orderings_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9965]) ).

cnf(c_0_9965_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Orderings_Omin(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9965]) ).

cnf(c_0_9966_0,axiom,
    ( c_Orderings_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9966]) ).

cnf(c_0_9966_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Orderings_Omax(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9966]) ).

cnf(c_0_9967_0,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0
    | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9967]) ).

cnf(c_0_9967_1,axiom,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9967]) ).

cnf(c_0_9968_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9968]) ).

cnf(c_0_9968_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9968]) ).

cnf(c_0_9969_0,axiom,
    ( c_minus(X1,X1,X2) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9969]) ).

cnf(c_0_9969_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_minus(X1,X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9969]) ).

cnf(c_0_9970_0,axiom,
    ( c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9970]) ).

cnf(c_0_9970_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_HOL_Oabs(c_HOL_Oabs(X1,X2),X2) = c_HOL_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9970]) ).

cnf(c_0_9971_0,axiom,
    ( c_HOL_Oabs(c_uminus(X1,X2),X2) = c_HOL_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9971]) ).

cnf(c_0_9971_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_HOL_Oabs(c_uminus(X1,X2),X2) = c_HOL_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9971]) ).

cnf(c_0_9972_0,axiom,
    ( c_plus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9972]) ).

cnf(c_0_9972_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
    | c_plus(X1,c_0,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9972]) ).

cnf(c_0_9973_0,axiom,
    ( c_plus(c_0,X1,X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9973]) ).

cnf(c_0_9973_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
    | c_plus(c_0,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9973]) ).

cnf(c_0_9974_0,axiom,
    ( c_minus(X1,c_0,X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9974]) ).

cnf(c_0_9974_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_minus(X1,c_0,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9974]) ).

cnf(c_0_9975_0,axiom,
    ( c_times(c_1,X1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9975]) ).

cnf(c_0_9975_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X2)
    | c_times(c_1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9975]) ).

cnf(c_0_9976_0,axiom,
    ( c_times(X1,c_1,X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9976]) ).

cnf(c_0_9976_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X2)
    | c_times(X1,c_1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9976]) ).

cnf(c_0_9977_0,axiom,
    ( c_Nat_Opower(X1,c_1,X2) = X1
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9977]) ).

cnf(c_0_9977_1,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(X1,c_1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9977]) ).

cnf(c_0_9978_0,axiom,
    ( c_divide(X1,c_1,X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9978]) ).

cnf(c_0_9978_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_divide(X1,c_1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9978]) ).

cnf(c_0_9979_0,axiom,
    ( c_times(X1,c_1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9979]) ).

cnf(c_0_9979_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_times(X1,c_1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9979]) ).

cnf(c_0_9980_0,axiom,
    ( c_times(c_1,X1,X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9980]) ).

cnf(c_0_9980_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_times(c_1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9980]) ).

cnf(c_0_9981_0,axiom,
    ( X1 = X2
    | c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9981]) ).

cnf(c_0_9981_1,axiom,
    ( c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9981]) ).

cnf(c_0_9981_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9981]) ).

cnf(c_0_9981_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse(X1,X3) != c_HOL_Oinverse(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9981]) ).

cnf(c_0_9982_0,axiom,
    ( c_Nat_Opower(c_1,X1,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9982]) ).

cnf(c_0_9982_1,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(c_1,X1,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9982]) ).

cnf(c_0_9983_0,axiom,
    ( c_Nat_Opower(X1,c_0,X2) = c_1
    | ~ class_Power_Orecpower(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9983]) ).

cnf(c_0_9983_1,axiom,
    ( ~ class_Power_Orecpower(X2)
    | c_Nat_Opower(X1,c_0,X2) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9983]) ).

cnf(c_0_9984_0,axiom,
    ( c_times(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9984]) ).

cnf(c_0_9984_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_times(c_0,X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9984]) ).

cnf(c_0_9985_0,axiom,
    ( c_times(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9985]) ).

cnf(c_0_9985_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_times(X1,c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9985]) ).

cnf(c_0_9986_0,axiom,
    ( c_times(c_0,X1,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9986]) ).

cnf(c_0_9986_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X2)
    | c_times(c_0,X1,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9986]) ).

cnf(c_0_9987_0,axiom,
    ( c_times(X1,c_0,X2) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9987]) ).

cnf(c_0_9987_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X2)
    | c_times(X1,c_0,X2) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9987]) ).

cnf(c_0_9988_0,axiom,
    ( c_in(c_0,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9988]) ).

cnf(c_0_9988_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | c_in(c_0,c_IntDef_OInts,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9988]) ).

cnf(c_0_9989_0,axiom,
    ( c_in(c_1,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9989]) ).

cnf(c_0_9989_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | c_in(c_1,c_IntDef_OInts,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9989]) ).

cnf(c_0_9990_0,axiom,
    ( c_in(c_0,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9990]) ).

cnf(c_0_9990_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | c_in(c_0,c_IntDef_ONats,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9990]) ).

cnf(c_0_9991_0,axiom,
    ( c_in(c_1,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9991]) ).

cnf(c_0_9991_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | c_in(c_1,c_IntDef_ONats,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9991]) ).

cnf(c_0_9992_0,axiom,
    ( c_less(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9992]) ).

cnf(c_0_9992_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_less(c_0,c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9992]) ).

cnf(c_0_9993_0,axiom,
    ( c_lessequals(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9993]) ).

cnf(c_0_9993_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_0,c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9993]) ).

cnf(c_0_9994_0,axiom,
    ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9994]) ).

cnf(c_0_9994_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X2) = c_NatArith_Oof__nat(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9994]) ).

cnf(c_0_9995_0,axiom,
    ( c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9995]) ).

cnf(c_0_9995_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9995]) ).

cnf(c_0_9996_0,axiom,
    ( c_HOL_Oinverse(c_HOL_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9996]) ).

cnf(c_0_9996_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(c_HOL_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9996]) ).

cnf(c_0_9996_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(c_HOL_Oinverse(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_9996]) ).

cnf(c_0_9997_0,axiom,
    ( c_div(X1,X1,tc_IntDef_Oint) = c_1
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_9997]) ).

cnf(c_0_9997_1,axiom,
    ( X1 = c_0
    | c_div(X1,X1,tc_IntDef_Oint) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_9997]) ).

cnf(c_0_9998_0,axiom,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    inference(literals_permutation,[status(thm)],[c_0_9998]) ).

cnf(c_0_9998_1,axiom,
    ( c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint)
    | X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint)) ),
    inference(literals_permutation,[status(thm)],[c_0_9998]) ).

cnf(c_0_9999_0,axiom,
    ( X1 = X2
    | c_IntDef_Oof__int(X1,X3) != c_IntDef_Oof__int(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9999]) ).

cnf(c_0_9999_1,axiom,
    ( c_IntDef_Oof__int(X1,X3) != c_IntDef_Oof__int(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_9999]) ).

cnf(c_0_9999_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_IntDef_Oof__int(X1,X3) != c_IntDef_Oof__int(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_9999]) ).

cnf(c_0_10000_0,axiom,
    ( X1 = X2
    | c_NatArith_Oof__nat(X1,X3) != c_NatArith_Oof__nat(X2,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10000]) ).

cnf(c_0_10000_1,axiom,
    ( c_NatArith_Oof__nat(X1,X3) != c_NatArith_Oof__nat(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10000]) ).

cnf(c_0_10000_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | c_NatArith_Oof__nat(X1,X3) != c_NatArith_Oof__nat(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10000]) ).

cnf(c_0_10001_0,axiom,
    ( X1 = X2
    | c_uminus(X1,X3) != c_uminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10001]) ).

cnf(c_0_10001_1,axiom,
    ( c_uminus(X1,X3) != c_uminus(X2,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10001]) ).

cnf(c_0_10001_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_uminus(X1,X3) != c_uminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10001]) ).

cnf(c_0_10002_0,axiom,
    ( X1 = X2
    | c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10002]) ).

cnf(c_0_10002_1,axiom,
    ( c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10002]) ).

cnf(c_0_10002_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_SetInterval_OatLeast(X1,X3) != c_SetInterval_OatLeast(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10002]) ).

cnf(c_0_10003_0,axiom,
    ( X1 = X2
    | c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10003]) ).

cnf(c_0_10003_1,axiom,
    ( c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10003]) ).

cnf(c_0_10003_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_SetInterval_OatMost(X1,X3) != c_SetInterval_OatMost(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10003]) ).

cnf(c_0_10004_0,axiom,
    ( X1 = X2
    | c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10004]) ).

cnf(c_0_10004_1,axiom,
    ( c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10004]) ).

cnf(c_0_10004_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_SetInterval_OgreaterThan(X1,X3) != c_SetInterval_OgreaterThan(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10004]) ).

cnf(c_0_10005_0,axiom,
    ( X1 = X2
    | c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10005]) ).

cnf(c_0_10005_1,axiom,
    ( c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10005]) ).

cnf(c_0_10005_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_SetInterval_OlessThan(X1,X3) != c_SetInterval_OlessThan(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10005]) ).

cnf(c_0_10006_0,axiom,
    ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10006]) ).

cnf(c_0_10006_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10006]) ).

cnf(c_0_10007_0,axiom,
    ( X1 = c_0
    | c_less(c_0,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_10007]) ).

cnf(c_0_10007_1,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10007]) ).

cnf(c_0_10008_0,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10008]) ).

cnf(c_0_10008_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10008]) ).

cnf(c_0_10008_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10008]) ).

cnf(c_0_10009_0,axiom,
    ( c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10009]) ).

cnf(c_0_10009_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10009]) ).

cnf(c_0_10009_2,axiom,
    ( ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(c_uminus(c_1,X1),X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10009]) ).

cnf(c_0_10010_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10010]) ).

cnf(c_0_10010_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10010]) ).

cnf(c_0_10010_2,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10010]) ).

cnf(c_0_10011_0,axiom,
    ( X1 = c_uminus(c_1,X2)
    | c_uminus(X1,X2) != c_1
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10011]) ).

cnf(c_0_10011_1,axiom,
    ( c_uminus(X1,X2) != c_1
    | X1 = c_uminus(c_1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10011]) ).

cnf(c_0_10011_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X1,X2) != c_1
    | X1 = c_uminus(c_1,X2)
    | ~ class_HOL_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10011]) ).

cnf(c_0_10011_3,axiom,
    ( ~ class_HOL_Oone(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X1,X2) != c_1
    | X1 = c_uminus(c_1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10011]) ).

cnf(c_0_10012_0,axiom,
    ( ~ c_Parity_Oeven(c_Suc(X1),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_10012]) ).

cnf(c_0_10012_1,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_10012]) ).

cnf(c_0_10013_0,axiom,
    ( c_uminus(c_uminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10013]) ).

cnf(c_0_10013_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(c_uminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10013]) ).

cnf(c_0_10014_0,axiom,
    ( X1 = X2
    | c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10014]) ).

cnf(c_0_10014_1,axiom,
    ( c_Datatype_Ooption_OSome(X1,X3) != c_Datatype_Ooption_OSome(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10014]) ).

cnf(c_0_10015_0,axiom,
    ( X1 = X2
    | c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10015]) ).

cnf(c_0_10015_1,axiom,
    ( c_List_Ochar_OChar(X1,X3) != c_List_Ochar_OChar(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10015]) ).

cnf(c_0_10016_0,axiom,
    ( X1 = X2
    | c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10016]) ).

cnf(c_0_10016_1,axiom,
    ( c_List_Ochar_OChar(X3,X1) != c_List_Ochar_OChar(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10016]) ).

cnf(c_0_10017_0,axiom,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_10017]) ).

cnf(c_0_10017_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10017]) ).

cnf(c_0_10018_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10018]) ).

cnf(c_0_10018_1,axiom,
    ( c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10018]) ).

cnf(c_0_10019_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10019]) ).

cnf(c_0_10019_1,axiom,
    ( c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10019]) ).

cnf(c_0_10020_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10020]) ).

cnf(c_0_10020_1,axiom,
    ( c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10020]) ).

cnf(c_0_10021_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10021]) ).

cnf(c_0_10021_1,axiom,
    ( c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10021]) ).

cnf(c_0_10022_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10022]) ).

cnf(c_0_10022_1,axiom,
    ( c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10022]) ).

cnf(c_0_10023_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10023]) ).

cnf(c_0_10023_1,axiom,
    ( c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10023]) ).

cnf(c_0_10024_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10024]) ).

cnf(c_0_10024_1,axiom,
    ( c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10024]) ).

cnf(c_0_10025_0,axiom,
    ( X1 = X2
    | c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10025]) ).

cnf(c_0_10025_1,axiom,
    ( c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10025]) ).

cnf(c_0_10026_0,axiom,
    ( X1 = X2
    | c_Message_OHPair(X1,X3) != c_Message_OHPair(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10026]) ).

cnf(c_0_10026_1,axiom,
    ( c_Message_OHPair(X1,X3) != c_Message_OHPair(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10026]) ).

cnf(c_0_10027_0,axiom,
    ( X1 = X2
    | c_Message_OHPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10027]) ).

cnf(c_0_10027_1,axiom,
    ( c_Message_OHPair(X3,X1) != c_Message_OHPair(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10027]) ).

cnf(c_0_10028_0,axiom,
    ( X1 = X2
    | c_Message_OHPair(X3,X2) != c_Message_Omsg_OMPair(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10028]) ).

cnf(c_0_10028_1,axiom,
    ( c_Message_OHPair(X3,X2) != c_Message_Omsg_OMPair(X4,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10028]) ).

cnf(c_0_10029_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OMPair(X3,X1) != c_Message_OHPair(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10029]) ).

cnf(c_0_10029_1,axiom,
    ( c_Message_Omsg_OMPair(X3,X1) != c_Message_OHPair(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10029]) ).

cnf(c_0_10030_0,axiom,
    ( X1 = X2
    | c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_10030]) ).

cnf(c_0_10030_1,axiom,
    ( c_Public_OpublicKey(X1,X3) != c_Public_OpublicKey(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10030]) ).

cnf(c_0_10031_0,axiom,
    ( X1 = X2
    | c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10031]) ).

cnf(c_0_10031_1,axiom,
    ( c_Public_OpublicKey(X3,X1) != c_Public_OpublicKey(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10031]) ).

cnf(c_0_10032_0,axiom,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10032]) ).

cnf(c_0_10032_1,axiom,
    ( ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10032]) ).

cnf(c_0_10032_2,axiom,
    ( ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_10032]) ).

cnf(c_0_10033_0,axiom,
    ( class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10033]) ).

cnf(c_0_10033_1,axiom,
    ( ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10033]) ).

cnf(c_0_10033_2,axiom,
    ( ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_prod(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_10033]) ).

cnf(c_0_10034_0,axiom,
    ( class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10034]) ).

cnf(c_0_10034_1,axiom,
    ( ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_sum(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10034]) ).

cnf(c_0_10034_2,axiom,
    ( ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_sum(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_10034]) ).

cnf(c_0_10035_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10035]) ).

cnf(c_0_10035_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10035]) ).

cnf(c_0_10036_0,axiom,
    ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2) = X1
    | X1 = c_Datatype_Ooption_ONone ),
    inference(literals_permutation,[status(thm)],[c_0_10036]) ).

cnf(c_0_10036_1,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10036]) ).

cnf(c_0_10037_0,axiom,
    ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2) = X1
    | X1 = c_Datatype_Ooption_ONone ),
    inference(literals_permutation,[status(thm)],[c_0_10037]) ).

cnf(c_0_10037_1,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10037]) ).

cnf(c_0_10038_0,axiom,
    ( c_IntDef_Oof__int(c_IntDef_Oint(X1),X2) = c_NatArith_Oof__nat(X1,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10038]) ).

cnf(c_0_10038_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | c_IntDef_Oof__int(c_IntDef_Oint(X1),X2) = c_NatArith_Oof__nat(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10038]) ).

cnf(c_0_10039_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10039]) ).

cnf(c_0_10039_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10039]) ).

cnf(c_0_10040_0,axiom,
    ( X1 = c_1
    | c_HOL_Oinverse(X1,X2) != c_1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10040]) ).

cnf(c_0_10040_1,axiom,
    ( c_HOL_Oinverse(X1,X2) != c_1
    | X1 = c_1
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10040]) ).

cnf(c_0_10040_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(X1,X2) != c_1
    | X1 = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10040]) ).

cnf(c_0_10040_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(X1,X2) != c_1
    | X1 = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10040]) ).

cnf(c_0_10041_0,axiom,
    ( X1 = c_0
    | c_HOL_Oinverse(X1,X2) != c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10041]) ).

cnf(c_0_10041_1,axiom,
    ( c_HOL_Oinverse(X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10041]) ).

cnf(c_0_10041_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10041]) ).

cnf(c_0_10041_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10041]) ).

cnf(c_0_10042_0,axiom,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10042]) ).

cnf(c_0_10042_1,axiom,
    ( c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10042]) ).

cnf(c_0_10043_0,axiom,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10043]) ).

cnf(c_0_10043_1,axiom,
    ( c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint) != c_IntDef_Oint(X1)
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10043]) ).

cnf(c_0_10044_0,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10044]) ).

cnf(c_0_10044_1,axiom,
    ( c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10044]) ).

cnf(c_0_10045_0,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10045]) ).

cnf(c_0_10045_1,axiom,
    ( c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10045]) ).

cnf(c_0_10046_0,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_10046]) ).

cnf(c_0_10046_1,axiom,
    ( c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV
    | c_Inter(X1,X2) = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_10046]) ).

cnf(c_0_10047_0,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_10047]) ).

cnf(c_0_10047_1,axiom,
    ( c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV
    | c_Inter(X1,X2) = c_UNIV ),
    inference(literals_permutation,[status(thm)],[c_0_10047]) ).

cnf(c_0_10048_0,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10048]) ).

cnf(c_0_10048_1,axiom,
    ( c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset
    | c_Union(X1,X2) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10048]) ).

cnf(c_0_10049_0,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10049]) ).

cnf(c_0_10049_1,axiom,
    ( c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset
    | c_Union(X1,X2) = c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10049]) ).

cnf(c_0_10050_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10050]) ).

cnf(c_0_10050_1,axiom,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10050]) ).

cnf(c_0_10051_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OMin,X1) = c_uminus(c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10051]) ).

cnf(c_0_10051_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(c_Numeral_OMin,X1) = c_uminus(c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10051]) ).

cnf(c_0_10052_0,axiom,
    ( c_Parity_Oeven(c_Suc(X1),tc_nat)
    | c_Parity_Oeven(X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_10052]) ).

cnf(c_0_10052_1,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_10052]) ).

cnf(c_0_10053_0,axiom,
    ( c_0 = X1
    | c_IntDef_Oof__int(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10053]) ).

cnf(c_0_10053_1,axiom,
    ( c_IntDef_Oof__int(X1,X2) != c_0
    | c_0 = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10053]) ).

cnf(c_0_10053_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oof__int(X1,X2) != c_0
    | c_0 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10053]) ).

cnf(c_0_10054_0,axiom,
    ( X1 = c_0
    | c_IntDef_Oof__int(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10054]) ).

cnf(c_0_10054_1,axiom,
    ( c_IntDef_Oof__int(X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10054]) ).

cnf(c_0_10054_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_IntDef_Oof__int(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10054]) ).

cnf(c_0_10055_0,axiom,
    ( c_0 = X1
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10055]) ).

cnf(c_0_10055_1,axiom,
    ( c_NatArith_Oof__nat(X1,X2) != c_0
    | c_0 = X1
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10055]) ).

cnf(c_0_10055_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | c_0 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10055]) ).

cnf(c_0_10056_0,axiom,
    ( X1 = c_0
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10056]) ).

cnf(c_0_10056_1,axiom,
    ( c_NatArith_Oof__nat(X1,X2) != c_0
    | X1 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10056]) ).

cnf(c_0_10056_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | c_NatArith_Oof__nat(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10056]) ).

cnf(c_0_10057_0,axiom,
    ( X1 = c_0
    | c_HOL_Oabs(X1,X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10057]) ).

cnf(c_0_10057_1,axiom,
    ( c_HOL_Oabs(X1,X2) != c_0
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10057]) ).

cnf(c_0_10057_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_HOL_Oabs(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10057]) ).

cnf(c_0_10058_0,axiom,
    ( X1 = c_0
    | c_HOL_Oabs(X1,X2) != c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10058]) ).

cnf(c_0_10058_1,axiom,
    ( c_HOL_Oabs(X1,X2) != c_0
    | X1 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10058]) ).

cnf(c_0_10058_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_HOL_Oabs(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10058]) ).

cnf(c_0_10059_0,axiom,
    ( c_0 = X1
    | c_uminus(X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10059]) ).

cnf(c_0_10059_1,axiom,
    ( c_uminus(X1,X2) != c_0
    | c_0 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10059]) ).

cnf(c_0_10059_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X1,X2) != c_0
    | c_0 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_10059]) ).

cnf(c_0_10060_0,axiom,
    ( X1 = c_0
    | c_uminus(X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10060]) ).

cnf(c_0_10060_1,axiom,
    ( c_uminus(X1,X2) != c_0
    | X1 = c_0
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10060]) ).

cnf(c_0_10060_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_uminus(X1,X2) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10060]) ).

cnf(c_0_10061_0,axiom,
    ( ~ c_IntDef_Oiszero(c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10061]) ).

cnf(c_0_10061_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_IntDef_Oiszero(c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10061]) ).

cnf(c_0_10062_0,axiom,
    ( ~ c_IntDef_Oneg(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10062]) ).

cnf(c_0_10062_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_0,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10062]) ).

cnf(c_0_10063_0,axiom,
    ( ~ c_IntDef_Oneg(c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10063]) ).

cnf(c_0_10063_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10063]) ).

cnf(c_0_10064_0,axiom,
    ( c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10064]) ).

cnf(c_0_10064_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10064]) ).

cnf(c_0_10064_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(c_1,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10064]) ).

cnf(c_0_10065_0,axiom,
    ( c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10065]) ).

cnf(c_0_10065_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10065]) ).

cnf(c_0_10065_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10065]) ).

cnf(c_0_10066_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Oo2s(X1,X2) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10066]) ).

cnf(c_0_10066_1,axiom,
    ( c_Datatype_Oo2s(X1,X2) != c_emptyset
    | X1 = c_Datatype_Ooption_ONone ),
    inference(literals_permutation,[status(thm)],[c_0_10066]) ).

cnf(c_0_10067_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10067]) ).

cnf(c_0_10067_1,axiom,
    ( c_List_Orev(X1,X2) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10067]) ).

cnf(c_0_10068_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10068]) ).

cnf(c_0_10068_1,axiom,
    ( c_List_Oremdups(X1,X2) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10068]) ).

cnf(c_0_10069_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10069]) ).

cnf(c_0_10069_1,axiom,
    ( c_List_Oremdups(X1,X2) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10069]) ).

cnf(c_0_10070_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10070]) ).

cnf(c_0_10070_1,axiom,
    ( c_List_Orev(X1,X2) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10070]) ).

cnf(c_0_10071_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10071]) ).

cnf(c_0_10071_1,axiom,
    ( c_List_Orotate1(X1,X2) != c_List_Olist_ONil
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10071]) ).

cnf(c_0_10072_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10072]) ).

cnf(c_0_10072_1,axiom,
    ( c_List_Oset(X1,X2) != c_emptyset
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10072]) ).

cnf(c_0_10073_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    inference(literals_permutation,[status(thm)],[c_0_10073]) ).

cnf(c_0_10073_1,axiom,
    ( c_List_Oset(X1,X2) != c_emptyset
    | X1 = c_List_Olist_ONil ),
    inference(literals_permutation,[status(thm)],[c_0_10073]) ).

cnf(c_0_10074_0,axiom,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10074]) ).

cnf(c_0_10074_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10074]) ).

cnf(c_0_10075_0,axiom,
    ( c_IntDef_Oof__int(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10075]) ).

cnf(c_0_10075_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | c_IntDef_Oof__int(c_1,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10075]) ).

cnf(c_0_10076_0,axiom,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10076]) ).

cnf(c_0_10076_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10076]) ).

cnf(c_0_10077_0,axiom,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10077]) ).

cnf(c_0_10077_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10077]) ).

cnf(c_0_10078_0,axiom,
    ( c_NatArith_Oof__nat(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10078]) ).

cnf(c_0_10078_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | c_NatArith_Oof__nat(c_1,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10078]) ).

cnf(c_0_10079_0,axiom,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10079]) ).

cnf(c_0_10079_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10079]) ).

cnf(c_0_10080_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10080]) ).

cnf(c_0_10080_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10080]) ).

cnf(c_0_10081_0,axiom,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10081]) ).

cnf(c_0_10081_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10081]) ).

cnf(c_0_10082_0,axiom,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10082]) ).

cnf(c_0_10082_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10082]) ).

cnf(c_0_10083_0,axiom,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10083]) ).

cnf(c_0_10083_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10083]) ).

cnf(c_0_10084_0,axiom,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10084]) ).

cnf(c_0_10084_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10084]) ).

cnf(c_0_10085_0,axiom,
    ( c_OrderedGroup_Onprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10085]) ).

cnf(c_0_10085_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_OrderedGroup_Onprt(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10085]) ).

cnf(c_0_10086_0,axiom,
    ( c_OrderedGroup_Opprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10086]) ).

cnf(c_0_10086_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_OrderedGroup_Opprt(c_0,X1) = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_10086]) ).

cnf(c_0_10087_0,axiom,
    ( c_HOL_Oabs(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10087]) ).

cnf(c_0_10087_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs(c_1,X1) = c_1 ),
    inference(literals_permutation,[status(thm)],[c_0_10087]) ).

cnf(c_0_10088_0,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10088]) ).

cnf(c_0_10088_1,axiom,
    ( ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_10088]) ).

cnf(c_0_10089_0,axiom,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10089]) ).

cnf(c_0_10089_1,axiom,
    ( ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(tc_set(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_10089]) ).

cnf(c_0_10090_0,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10090]) ).

cnf(c_0_10090_1,axiom,
    ( c_IntDef_Oint(X1) != c_IntDef_Oint(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10090]) ).

cnf(c_0_10091_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10091]) ).

cnf(c_0_10091_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10091]) ).

cnf(c_0_10092_0,axiom,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10092]) ).

cnf(c_0_10092_1,axiom,
    ( c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10092]) ).

cnf(c_0_10093_0,axiom,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10093]) ).

cnf(c_0_10093_1,axiom,
    ( c_Message_OinvKey(X1) != c_Message_OinvKey(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10093]) ).

cnf(c_0_10094_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10094]) ).

cnf(c_0_10094_1,axiom,
    ( c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10094]) ).

cnf(c_0_10095_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10095]) ).

cnf(c_0_10095_1,axiom,
    ( c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10095]) ).

cnf(c_0_10096_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10096]) ).

cnf(c_0_10096_1,axiom,
    ( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10096]) ).

cnf(c_0_10097_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10097]) ).

cnf(c_0_10097_1,axiom,
    ( c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10097]) ).

cnf(c_0_10098_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10098]) ).

cnf(c_0_10098_1,axiom,
    ( c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10098]) ).

cnf(c_0_10099_0,axiom,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10099]) ).

cnf(c_0_10099_1,axiom,
    ( c_Public_OshrK(X1) != c_Public_OshrK(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_10099]) ).

cnf(c_0_10100_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10100]) ).

cnf(c_0_10100_1,axiom,
    ( ~ class_LOrder_Ojoin__semilorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10100]) ).

cnf(c_0_10101_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10101]) ).

cnf(c_0_10101_1,axiom,
    ( ~ class_LOrder_Ojoin__semilorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10101]) ).

cnf(c_0_10102_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10102]) ).

cnf(c_0_10102_1,axiom,
    ( ~ class_LOrder_Olorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10102]) ).

cnf(c_0_10103_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10103]) ).

cnf(c_0_10103_1,axiom,
    ( ~ class_LOrder_Olorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10103]) ).

cnf(c_0_10104_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10104]) ).

cnf(c_0_10104_1,axiom,
    ( ~ class_LOrder_Olorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10104]) ).

cnf(c_0_10105_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10105]) ).

cnf(c_0_10105_1,axiom,
    ( ~ class_LOrder_Olorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10105]) ).

cnf(c_0_10106_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10106]) ).

cnf(c_0_10106_1,axiom,
    ( ~ class_LOrder_Omeet__semilorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10106]) ).

cnf(c_0_10107_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10107]) ).

cnf(c_0_10107_1,axiom,
    ( ~ class_LOrder_Omeet__semilorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10107]) ).

cnf(c_0_10108_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10108]) ).

cnf(c_0_10108_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10108]) ).

cnf(c_0_10109_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10109]) ).

cnf(c_0_10109_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10109]) ).

cnf(c_0_10110_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10110]) ).

cnf(c_0_10110_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10110]) ).

cnf(c_0_10111_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10111]) ).

cnf(c_0_10111_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10111]) ).

cnf(c_0_10112_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10112]) ).

cnf(c_0_10112_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10112]) ).

cnf(c_0_10113_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10113]) ).

cnf(c_0_10113_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10113]) ).

cnf(c_0_10114_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10114]) ).

cnf(c_0_10114_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10114]) ).

cnf(c_0_10115_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10115]) ).

cnf(c_0_10115_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10115]) ).

cnf(c_0_10116_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10116]) ).

cnf(c_0_10116_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10116]) ).

cnf(c_0_10117_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10117]) ).

cnf(c_0_10117_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10117]) ).

cnf(c_0_10118_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10118]) ).

cnf(c_0_10118_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10118]) ).

cnf(c_0_10119_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10119]) ).

cnf(c_0_10119_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10119]) ).

cnf(c_0_10120_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10120]) ).

cnf(c_0_10120_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10120]) ).

cnf(c_0_10121_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10121]) ).

cnf(c_0_10121_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10121]) ).

cnf(c_0_10122_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10122]) ).

cnf(c_0_10122_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10122]) ).

cnf(c_0_10123_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10123]) ).

cnf(c_0_10123_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10123]) ).

cnf(c_0_10124_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10124]) ).

cnf(c_0_10124_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10124]) ).

cnf(c_0_10125_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10125]) ).

cnf(c_0_10125_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10125]) ).

cnf(c_0_10126_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10126]) ).

cnf(c_0_10126_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10126]) ).

cnf(c_0_10127_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10127]) ).

cnf(c_0_10127_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10127]) ).

cnf(c_0_10128_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10128]) ).

cnf(c_0_10128_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10128]) ).

cnf(c_0_10129_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10129]) ).

cnf(c_0_10129_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10129]) ).

cnf(c_0_10130_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10130]) ).

cnf(c_0_10130_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10130]) ).

cnf(c_0_10131_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10131]) ).

cnf(c_0_10131_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10131]) ).

cnf(c_0_10132_0,axiom,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10132]) ).

cnf(c_0_10132_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10132]) ).

cnf(c_0_10133_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10133]) ).

cnf(c_0_10133_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10133]) ).

cnf(c_0_10134_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10134]) ).

cnf(c_0_10134_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10134]) ).

cnf(c_0_10135_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10135]) ).

cnf(c_0_10135_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10135]) ).

cnf(c_0_10136_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10136]) ).

cnf(c_0_10136_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10136]) ).

cnf(c_0_10137_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10137]) ).

cnf(c_0_10137_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10137]) ).

cnf(c_0_10138_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10138]) ).

cnf(c_0_10138_1,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10138]) ).

cnf(c_0_10139_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10139]) ).

cnf(c_0_10139_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10139]) ).

cnf(c_0_10140_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10140]) ).

cnf(c_0_10140_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10140]) ).

cnf(c_0_10141_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10141]) ).

cnf(c_0_10141_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10141]) ).

cnf(c_0_10142_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10142]) ).

cnf(c_0_10142_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10142]) ).

cnf(c_0_10143_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10143]) ).

cnf(c_0_10143_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10143]) ).

cnf(c_0_10144_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10144]) ).

cnf(c_0_10144_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10144]) ).

cnf(c_0_10145_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10145]) ).

cnf(c_0_10145_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10145]) ).

cnf(c_0_10146_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10146]) ).

cnf(c_0_10146_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10146]) ).

cnf(c_0_10147_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10147]) ).

cnf(c_0_10147_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10147]) ).

cnf(c_0_10148_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10148]) ).

cnf(c_0_10148_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10148]) ).

cnf(c_0_10149_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10149]) ).

cnf(c_0_10149_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10149]) ).

cnf(c_0_10150_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10150]) ).

cnf(c_0_10150_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10150]) ).

cnf(c_0_10151_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10151]) ).

cnf(c_0_10151_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10151]) ).

cnf(c_0_10152_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10152]) ).

cnf(c_0_10152_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10152]) ).

cnf(c_0_10153_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10153]) ).

cnf(c_0_10153_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10153]) ).

cnf(c_0_10154_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10154]) ).

cnf(c_0_10154_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10154]) ).

cnf(c_0_10155_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10155]) ).

cnf(c_0_10155_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10155]) ).

cnf(c_0_10156_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10156]) ).

cnf(c_0_10156_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10156]) ).

cnf(c_0_10157_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10157]) ).

cnf(c_0_10157_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10157]) ).

cnf(c_0_10158_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10158]) ).

cnf(c_0_10158_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10158]) ).

cnf(c_0_10159_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10159]) ).

cnf(c_0_10159_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10159]) ).

cnf(c_0_10160_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10160]) ).

cnf(c_0_10160_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10160]) ).

cnf(c_0_10161_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10161]) ).

cnf(c_0_10161_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10161]) ).

cnf(c_0_10162_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10162]) ).

cnf(c_0_10162_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10162]) ).

cnf(c_0_10163_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10163]) ).

cnf(c_0_10163_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10163]) ).

cnf(c_0_10164_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10164]) ).

cnf(c_0_10164_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10164]) ).

cnf(c_0_10165_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10165]) ).

cnf(c_0_10165_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10165]) ).

cnf(c_0_10166_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10166]) ).

cnf(c_0_10166_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10166]) ).

cnf(c_0_10167_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10167]) ).

cnf(c_0_10167_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10167]) ).

cnf(c_0_10168_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10168]) ).

cnf(c_0_10168_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10168]) ).

cnf(c_0_10169_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10169]) ).

cnf(c_0_10169_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10169]) ).

cnf(c_0_10170_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10170]) ).

cnf(c_0_10170_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10170]) ).

cnf(c_0_10171_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10171]) ).

cnf(c_0_10171_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10171]) ).

cnf(c_0_10172_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10172]) ).

cnf(c_0_10172_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10172]) ).

cnf(c_0_10173_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10173]) ).

cnf(c_0_10173_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10173]) ).

cnf(c_0_10174_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10174]) ).

cnf(c_0_10174_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10174]) ).

cnf(c_0_10175_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10175]) ).

cnf(c_0_10175_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10175]) ).

cnf(c_0_10176_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10176]) ).

cnf(c_0_10176_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10176]) ).

cnf(c_0_10177_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10177]) ).

cnf(c_0_10177_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10177]) ).

cnf(c_0_10178_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10178]) ).

cnf(c_0_10178_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10178]) ).

cnf(c_0_10179_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10179]) ).

cnf(c_0_10179_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10179]) ).

cnf(c_0_10180_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10180]) ).

cnf(c_0_10180_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10180]) ).

cnf(c_0_10181_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10181]) ).

cnf(c_0_10181_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10181]) ).

cnf(c_0_10182_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10182]) ).

cnf(c_0_10182_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10182]) ).

cnf(c_0_10183_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10183]) ).

cnf(c_0_10183_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10183]) ).

cnf(c_0_10184_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10184]) ).

cnf(c_0_10184_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10184]) ).

cnf(c_0_10185_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10185]) ).

cnf(c_0_10185_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10185]) ).

cnf(c_0_10186_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10186]) ).

cnf(c_0_10186_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10186]) ).

cnf(c_0_10187_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10187]) ).

cnf(c_0_10187_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10187]) ).

cnf(c_0_10188_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10188]) ).

cnf(c_0_10188_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10188]) ).

cnf(c_0_10189_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10189]) ).

cnf(c_0_10189_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10189]) ).

cnf(c_0_10190_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10190]) ).

cnf(c_0_10190_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10190]) ).

cnf(c_0_10191_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10191]) ).

cnf(c_0_10191_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10191]) ).

cnf(c_0_10192_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10192]) ).

cnf(c_0_10192_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10192]) ).

cnf(c_0_10193_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10193]) ).

cnf(c_0_10193_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10193]) ).

cnf(c_0_10194_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10194]) ).

cnf(c_0_10194_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10194]) ).

cnf(c_0_10195_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10195]) ).

cnf(c_0_10195_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10195]) ).

cnf(c_0_10196_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10196]) ).

cnf(c_0_10196_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10196]) ).

cnf(c_0_10197_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10197]) ).

cnf(c_0_10197_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10197]) ).

cnf(c_0_10198_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10198]) ).

cnf(c_0_10198_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10198]) ).

cnf(c_0_10199_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10199]) ).

cnf(c_0_10199_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10199]) ).

cnf(c_0_10200_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10200]) ).

cnf(c_0_10200_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10200]) ).

cnf(c_0_10201_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10201]) ).

cnf(c_0_10201_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10201]) ).

cnf(c_0_10202_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10202]) ).

cnf(c_0_10202_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10202]) ).

cnf(c_0_10203_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10203]) ).

cnf(c_0_10203_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10203]) ).

cnf(c_0_10204_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10204]) ).

cnf(c_0_10204_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10204]) ).

cnf(c_0_10205_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10205]) ).

cnf(c_0_10205_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10205]) ).

cnf(c_0_10206_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10206]) ).

cnf(c_0_10206_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10206]) ).

cnf(c_0_10207_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10207]) ).

cnf(c_0_10207_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10207]) ).

cnf(c_0_10208_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10208]) ).

cnf(c_0_10208_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10208]) ).

cnf(c_0_10209_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10209]) ).

cnf(c_0_10209_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10209]) ).

cnf(c_0_10210_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10210]) ).

cnf(c_0_10210_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10210]) ).

cnf(c_0_10211_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10211]) ).

cnf(c_0_10211_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10211]) ).

cnf(c_0_10212_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10212]) ).

cnf(c_0_10212_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10212]) ).

cnf(c_0_10213_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10213]) ).

cnf(c_0_10213_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10213]) ).

cnf(c_0_10214_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10214]) ).

cnf(c_0_10214_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10214]) ).

cnf(c_0_10215_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10215]) ).

cnf(c_0_10215_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10215]) ).

cnf(c_0_10216_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10216]) ).

cnf(c_0_10216_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10216]) ).

cnf(c_0_10217_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10217]) ).

cnf(c_0_10217_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10217]) ).

cnf(c_0_10218_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10218]) ).

cnf(c_0_10218_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10218]) ).

cnf(c_0_10219_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10219]) ).

cnf(c_0_10219_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10219]) ).

cnf(c_0_10220_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10220]) ).

cnf(c_0_10220_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10220]) ).

cnf(c_0_10221_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10221]) ).

cnf(c_0_10221_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10221]) ).

cnf(c_0_10222_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10222]) ).

cnf(c_0_10222_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10222]) ).

cnf(c_0_10223_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10223]) ).

cnf(c_0_10223_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10223]) ).

cnf(c_0_10224_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10224]) ).

cnf(c_0_10224_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10224]) ).

cnf(c_0_10225_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10225]) ).

cnf(c_0_10225_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10225]) ).

cnf(c_0_10226_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10226]) ).

cnf(c_0_10226_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10226]) ).

cnf(c_0_10227_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10227]) ).

cnf(c_0_10227_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10227]) ).

cnf(c_0_10228_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10228]) ).

cnf(c_0_10228_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10228]) ).

cnf(c_0_10229_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10229]) ).

cnf(c_0_10229_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10229]) ).

cnf(c_0_10230_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10230]) ).

cnf(c_0_10230_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10230]) ).

cnf(c_0_10231_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10231]) ).

cnf(c_0_10231_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10231]) ).

cnf(c_0_10232_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10232]) ).

cnf(c_0_10232_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10232]) ).

cnf(c_0_10233_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10233]) ).

cnf(c_0_10233_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10233]) ).

cnf(c_0_10234_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10234]) ).

cnf(c_0_10234_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10234]) ).

cnf(c_0_10235_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10235]) ).

cnf(c_0_10235_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10235]) ).

cnf(c_0_10236_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10236]) ).

cnf(c_0_10236_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10236]) ).

cnf(c_0_10237_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10237]) ).

cnf(c_0_10237_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10237]) ).

cnf(c_0_10238_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10238]) ).

cnf(c_0_10238_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10238]) ).

cnf(c_0_10239_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10239]) ).

cnf(c_0_10239_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10239]) ).

cnf(c_0_10240_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10240]) ).

cnf(c_0_10240_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10240]) ).

cnf(c_0_10241_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10241]) ).

cnf(c_0_10241_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10241]) ).

cnf(c_0_10242_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10242]) ).

cnf(c_0_10242_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10242]) ).

cnf(c_0_10243_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10243]) ).

cnf(c_0_10243_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10243]) ).

cnf(c_0_10244_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10244]) ).

cnf(c_0_10244_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10244]) ).

cnf(c_0_10245_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10245]) ).

cnf(c_0_10245_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10245]) ).

cnf(c_0_10246_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10246]) ).

cnf(c_0_10246_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10246]) ).

cnf(c_0_10247_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10247]) ).

cnf(c_0_10247_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10247]) ).

cnf(c_0_10248_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10248]) ).

cnf(c_0_10248_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10248]) ).

cnf(c_0_10249_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10249]) ).

cnf(c_0_10249_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10249]) ).

cnf(c_0_10250_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10250]) ).

cnf(c_0_10250_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10250]) ).

cnf(c_0_10251_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10251]) ).

cnf(c_0_10251_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10251]) ).

cnf(c_0_10252_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10252]) ).

cnf(c_0_10252_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10252]) ).

cnf(c_0_10253_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10253]) ).

cnf(c_0_10253_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10253]) ).

cnf(c_0_10254_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10254]) ).

cnf(c_0_10254_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10254]) ).

cnf(c_0_10255_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10255]) ).

cnf(c_0_10255_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10255]) ).

cnf(c_0_10256_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10256]) ).

cnf(c_0_10256_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10256]) ).

cnf(c_0_10257_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10257]) ).

cnf(c_0_10257_1,axiom,
    ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10257]) ).

cnf(c_0_10258_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10258]) ).

cnf(c_0_10258_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10258]) ).

cnf(c_0_10259_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10259]) ).

cnf(c_0_10259_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10259]) ).

cnf(c_0_10260_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10260]) ).

cnf(c_0_10260_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10260]) ).

cnf(c_0_10261_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10261]) ).

cnf(c_0_10261_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10261]) ).

cnf(c_0_10262_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10262]) ).

cnf(c_0_10262_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10262]) ).

cnf(c_0_10263_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10263]) ).

cnf(c_0_10263_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10263]) ).

cnf(c_0_10264_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10264]) ).

cnf(c_0_10264_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10264]) ).

cnf(c_0_10265_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10265]) ).

cnf(c_0_10265_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10265]) ).

cnf(c_0_10266_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10266]) ).

cnf(c_0_10266_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10266]) ).

cnf(c_0_10267_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10267]) ).

cnf(c_0_10267_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10267]) ).

cnf(c_0_10268_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10268]) ).

cnf(c_0_10268_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10268]) ).

cnf(c_0_10269_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10269]) ).

cnf(c_0_10269_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10269]) ).

cnf(c_0_10270_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10270]) ).

cnf(c_0_10270_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10270]) ).

cnf(c_0_10271_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10271]) ).

cnf(c_0_10271_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10271]) ).

cnf(c_0_10272_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10272]) ).

cnf(c_0_10272_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10272]) ).

cnf(c_0_10273_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10273]) ).

cnf(c_0_10273_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10273]) ).

cnf(c_0_10274_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10274]) ).

cnf(c_0_10274_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10274]) ).

cnf(c_0_10275_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10275]) ).

cnf(c_0_10275_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10275]) ).

cnf(c_0_10276_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10276]) ).

cnf(c_0_10276_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10276]) ).

cnf(c_0_10277_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10277]) ).

cnf(c_0_10277_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10277]) ).

cnf(c_0_10278_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10278]) ).

cnf(c_0_10278_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10278]) ).

cnf(c_0_10279_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10279]) ).

cnf(c_0_10279_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10279]) ).

cnf(c_0_10280_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10280]) ).

cnf(c_0_10280_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10280]) ).

cnf(c_0_10281_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10281]) ).

cnf(c_0_10281_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10281]) ).

cnf(c_0_10282_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10282]) ).

cnf(c_0_10282_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10282]) ).

cnf(c_0_10283_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10283]) ).

cnf(c_0_10283_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10283]) ).

cnf(c_0_10284_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10284]) ).

cnf(c_0_10284_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10284]) ).

cnf(c_0_10285_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10285]) ).

cnf(c_0_10285_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10285]) ).

cnf(c_0_10286_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10286]) ).

cnf(c_0_10286_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10286]) ).

cnf(c_0_10287_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10287]) ).

cnf(c_0_10287_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10287]) ).

cnf(c_0_10288_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10288]) ).

cnf(c_0_10288_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10288]) ).

cnf(c_0_10289_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10289]) ).

cnf(c_0_10289_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10289]) ).

cnf(c_0_10290_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10290]) ).

cnf(c_0_10290_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10290]) ).

cnf(c_0_10291_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10291]) ).

cnf(c_0_10291_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10291]) ).

cnf(c_0_10292_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10292]) ).

cnf(c_0_10292_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10292]) ).

cnf(c_0_10293_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10293]) ).

cnf(c_0_10293_1,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10293]) ).

cnf(c_0_10294_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10294]) ).

cnf(c_0_10294_1,axiom,
    ( ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10294]) ).

cnf(c_0_10295_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10295]) ).

cnf(c_0_10295_1,axiom,
    ( ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10295]) ).

cnf(c_0_10296_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10296]) ).

cnf(c_0_10296_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10296]) ).

cnf(c_0_10297_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10297]) ).

cnf(c_0_10297_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10297]) ).

cnf(c_0_10298_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10298]) ).

cnf(c_0_10298_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10298]) ).

cnf(c_0_10299_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10299]) ).

cnf(c_0_10299_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10299]) ).

cnf(c_0_10300_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10300]) ).

cnf(c_0_10300_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10300]) ).

cnf(c_0_10301_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10301]) ).

cnf(c_0_10301_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10301]) ).

cnf(c_0_10302_0,axiom,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10302]) ).

cnf(c_0_10302_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Nat_Opower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10302]) ).

cnf(c_0_10303_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10303]) ).

cnf(c_0_10303_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10303]) ).

cnf(c_0_10304_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10304]) ).

cnf(c_0_10304_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10304]) ).

cnf(c_0_10305_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10305]) ).

cnf(c_0_10305_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10305]) ).

cnf(c_0_10306_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10306]) ).

cnf(c_0_10306_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10306]) ).

cnf(c_0_10307_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10307]) ).

cnf(c_0_10307_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10307]) ).

cnf(c_0_10308_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10308]) ).

cnf(c_0_10308_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10308]) ).

cnf(c_0_10309_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10309]) ).

cnf(c_0_10309_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10309]) ).

cnf(c_0_10310_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10310]) ).

cnf(c_0_10310_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10310]) ).

cnf(c_0_10311_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10311]) ).

cnf(c_0_10311_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10311]) ).

cnf(c_0_10312_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10312]) ).

cnf(c_0_10312_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10312]) ).

cnf(c_0_10313_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10313]) ).

cnf(c_0_10313_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10313]) ).

cnf(c_0_10314_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10314]) ).

cnf(c_0_10314_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10314]) ).

cnf(c_0_10315_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10315]) ).

cnf(c_0_10315_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10315]) ).

cnf(c_0_10316_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10316]) ).

cnf(c_0_10316_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10316]) ).

cnf(c_0_10317_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10317]) ).

cnf(c_0_10317_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10317]) ).

cnf(c_0_10318_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10318]) ).

cnf(c_0_10318_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10318]) ).

cnf(c_0_10319_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10319]) ).

cnf(c_0_10319_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10319]) ).

cnf(c_0_10320_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10320]) ).

cnf(c_0_10320_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10320]) ).

cnf(c_0_10321_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10321]) ).

cnf(c_0_10321_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10321]) ).

cnf(c_0_10322_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10322]) ).

cnf(c_0_10322_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10322]) ).

cnf(c_0_10323_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10323]) ).

cnf(c_0_10323_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10323]) ).

cnf(c_0_10324_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10324]) ).

cnf(c_0_10324_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10324]) ).

cnf(c_0_10325_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10325]) ).

cnf(c_0_10325_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10325]) ).

cnf(c_0_10326_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10326]) ).

cnf(c_0_10326_1,axiom,
    ( ~ class_Power_Orecpower(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10326]) ).

cnf(c_0_10327_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10327]) ).

cnf(c_0_10327_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10327]) ).

cnf(c_0_10328_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10328]) ).

cnf(c_0_10328_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10328]) ).

cnf(c_0_10329_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10329]) ).

cnf(c_0_10329_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10329]) ).

cnf(c_0_10330_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10330]) ).

cnf(c_0_10330_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10330]) ).

cnf(c_0_10331_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10331]) ).

cnf(c_0_10331_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10331]) ).

cnf(c_0_10332_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10332]) ).

cnf(c_0_10332_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10332]) ).

cnf(c_0_10333_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10333]) ).

cnf(c_0_10333_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10333]) ).

cnf(c_0_10334_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10334]) ).

cnf(c_0_10334_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10334]) ).

cnf(c_0_10335_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10335]) ).

cnf(c_0_10335_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10335]) ).

cnf(c_0_10336_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10336]) ).

cnf(c_0_10336_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10336]) ).

cnf(c_0_10337_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10337]) ).

cnf(c_0_10337_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10337]) ).

cnf(c_0_10338_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10338]) ).

cnf(c_0_10338_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10338]) ).

cnf(c_0_10339_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10339]) ).

cnf(c_0_10339_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10339]) ).

cnf(c_0_10340_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10340]) ).

cnf(c_0_10340_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10340]) ).

cnf(c_0_10341_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10341]) ).

cnf(c_0_10341_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10341]) ).

cnf(c_0_10342_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10342]) ).

cnf(c_0_10342_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10342]) ).

cnf(c_0_10343_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10343]) ).

cnf(c_0_10343_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10343]) ).

cnf(c_0_10344_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10344]) ).

cnf(c_0_10344_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10344]) ).

cnf(c_0_10345_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10345]) ).

cnf(c_0_10345_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10345]) ).

cnf(c_0_10346_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10346]) ).

cnf(c_0_10346_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10346]) ).

cnf(c_0_10347_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10347]) ).

cnf(c_0_10347_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10347]) ).

cnf(c_0_10348_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10348]) ).

cnf(c_0_10348_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10348]) ).

cnf(c_0_10349_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10349]) ).

cnf(c_0_10349_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10349]) ).

cnf(c_0_10350_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10350]) ).

cnf(c_0_10350_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10350]) ).

cnf(c_0_10351_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10351]) ).

cnf(c_0_10351_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10351]) ).

cnf(c_0_10352_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10352]) ).

cnf(c_0_10352_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10352]) ).

cnf(c_0_10353_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10353]) ).

cnf(c_0_10353_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10353]) ).

cnf(c_0_10354_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10354]) ).

cnf(c_0_10354_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10354]) ).

cnf(c_0_10355_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10355]) ).

cnf(c_0_10355_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10355]) ).

cnf(c_0_10356_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10356]) ).

cnf(c_0_10356_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10356]) ).

cnf(c_0_10357_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10357]) ).

cnf(c_0_10357_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10357]) ).

cnf(c_0_10358_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10358]) ).

cnf(c_0_10358_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10358]) ).

cnf(c_0_10359_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10359]) ).

cnf(c_0_10359_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10359]) ).

cnf(c_0_10360_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10360]) ).

cnf(c_0_10360_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10360]) ).

cnf(c_0_10361_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10361]) ).

cnf(c_0_10361_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10361]) ).

cnf(c_0_10362_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10362]) ).

cnf(c_0_10362_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10362]) ).

cnf(c_0_10363_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10363]) ).

cnf(c_0_10363_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10363]) ).

cnf(c_0_10364_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10364]) ).

cnf(c_0_10364_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10364]) ).

cnf(c_0_10365_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10365]) ).

cnf(c_0_10365_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10365]) ).

cnf(c_0_10366_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10366]) ).

cnf(c_0_10366_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10366]) ).

cnf(c_0_10367_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10367]) ).

cnf(c_0_10367_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10367]) ).

cnf(c_0_10368_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10368]) ).

cnf(c_0_10368_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10368]) ).

cnf(c_0_10369_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10369]) ).

cnf(c_0_10369_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10369]) ).

cnf(c_0_10370_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10370]) ).

cnf(c_0_10370_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10370]) ).

cnf(c_0_10371_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10371]) ).

cnf(c_0_10371_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10371]) ).

cnf(c_0_10372_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10372]) ).

cnf(c_0_10372_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10372]) ).

cnf(c_0_10373_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10373]) ).

cnf(c_0_10373_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10373]) ).

cnf(c_0_10374_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10374]) ).

cnf(c_0_10374_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10374]) ).

cnf(c_0_10375_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10375]) ).

cnf(c_0_10375_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10375]) ).

cnf(c_0_10376_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10376]) ).

cnf(c_0_10376_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10376]) ).

cnf(c_0_10377_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10377]) ).

cnf(c_0_10377_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10377]) ).

cnf(c_0_10378_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10378]) ).

cnf(c_0_10378_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10378]) ).

cnf(c_0_10379_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10379]) ).

cnf(c_0_10379_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10379]) ).

cnf(c_0_10380_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10380]) ).

cnf(c_0_10380_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10380]) ).

cnf(c_0_10381_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10381]) ).

cnf(c_0_10381_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10381]) ).

cnf(c_0_10382_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10382]) ).

cnf(c_0_10382_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10382]) ).

cnf(c_0_10383_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10383]) ).

cnf(c_0_10383_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10383]) ).

cnf(c_0_10384_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10384]) ).

cnf(c_0_10384_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10384]) ).

cnf(c_0_10385_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10385]) ).

cnf(c_0_10385_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10385]) ).

cnf(c_0_10386_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10386]) ).

cnf(c_0_10386_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10386]) ).

cnf(c_0_10387_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10387]) ).

cnf(c_0_10387_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10387]) ).

cnf(c_0_10388_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10388]) ).

cnf(c_0_10388_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10388]) ).

cnf(c_0_10389_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10389]) ).

cnf(c_0_10389_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10389]) ).

cnf(c_0_10390_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10390]) ).

cnf(c_0_10390_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10390]) ).

cnf(c_0_10391_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10391]) ).

cnf(c_0_10391_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10391]) ).

cnf(c_0_10392_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10392]) ).

cnf(c_0_10392_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10392]) ).

cnf(c_0_10393_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10393]) ).

cnf(c_0_10393_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10393]) ).

cnf(c_0_10394_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10394]) ).

cnf(c_0_10394_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10394]) ).

cnf(c_0_10395_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10395]) ).

cnf(c_0_10395_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10395]) ).

cnf(c_0_10396_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10396]) ).

cnf(c_0_10396_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10396]) ).

cnf(c_0_10397_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10397]) ).

cnf(c_0_10397_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10397]) ).

cnf(c_0_10398_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10398]) ).

cnf(c_0_10398_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10398]) ).

cnf(c_0_10399_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10399]) ).

cnf(c_0_10399_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10399]) ).

cnf(c_0_10400_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10400]) ).

cnf(c_0_10400_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10400]) ).

cnf(c_0_10401_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10401]) ).

cnf(c_0_10401_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10401]) ).

cnf(c_0_10402_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10402]) ).

cnf(c_0_10402_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10402]) ).

cnf(c_0_10403_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10403]) ).

cnf(c_0_10403_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10403]) ).

cnf(c_0_10404_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10404]) ).

cnf(c_0_10404_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10404]) ).

cnf(c_0_10405_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10405]) ).

cnf(c_0_10405_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10405]) ).

cnf(c_0_10406_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10406]) ).

cnf(c_0_10406_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10406]) ).

cnf(c_0_10407_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10407]) ).

cnf(c_0_10407_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10407]) ).

cnf(c_0_10408_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10408]) ).

cnf(c_0_10408_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10408]) ).

cnf(c_0_10409_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10409]) ).

cnf(c_0_10409_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10409]) ).

cnf(c_0_10410_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10410]) ).

cnf(c_0_10410_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10410]) ).

cnf(c_0_10411_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10411]) ).

cnf(c_0_10411_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10411]) ).

cnf(c_0_10412_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10412]) ).

cnf(c_0_10412_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10412]) ).

cnf(c_0_10413_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10413]) ).

cnf(c_0_10413_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10413]) ).

cnf(c_0_10414_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10414]) ).

cnf(c_0_10414_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10414]) ).

cnf(c_0_10415_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10415]) ).

cnf(c_0_10415_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10415]) ).

cnf(c_0_10416_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10416]) ).

cnf(c_0_10416_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10416]) ).

cnf(c_0_10417_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10417]) ).

cnf(c_0_10417_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10417]) ).

cnf(c_0_10418_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10418]) ).

cnf(c_0_10418_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10418]) ).

cnf(c_0_10419_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10419]) ).

cnf(c_0_10419_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10419]) ).

cnf(c_0_10420_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10420]) ).

cnf(c_0_10420_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10420]) ).

cnf(c_0_10421_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10421]) ).

cnf(c_0_10421_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10421]) ).

cnf(c_0_10422_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10422]) ).

cnf(c_0_10422_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10422]) ).

cnf(c_0_10423_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10423]) ).

cnf(c_0_10423_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10423]) ).

cnf(c_0_10424_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10424]) ).

cnf(c_0_10424_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10424]) ).

cnf(c_0_10425_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10425]) ).

cnf(c_0_10425_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10425]) ).

cnf(c_0_10426_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10426]) ).

cnf(c_0_10426_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10426]) ).

cnf(c_0_10427_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10427]) ).

cnf(c_0_10427_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10427]) ).

cnf(c_0_10428_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10428]) ).

cnf(c_0_10428_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10428]) ).

cnf(c_0_10429_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10429]) ).

cnf(c_0_10429_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10429]) ).

cnf(c_0_10430_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10430]) ).

cnf(c_0_10430_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10430]) ).

cnf(c_0_10431_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10431]) ).

cnf(c_0_10431_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10431]) ).

cnf(c_0_10432_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10432]) ).

cnf(c_0_10432_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10432]) ).

cnf(c_0_10433_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10433]) ).

cnf(c_0_10433_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10433]) ).

cnf(c_0_10434_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10434]) ).

cnf(c_0_10434_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10434]) ).

cnf(c_0_10435_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10435]) ).

cnf(c_0_10435_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10435]) ).

cnf(c_0_10436_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10436]) ).

cnf(c_0_10436_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10436]) ).

cnf(c_0_10437_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10437]) ).

cnf(c_0_10437_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10437]) ).

cnf(c_0_10438_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10438]) ).

cnf(c_0_10438_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10438]) ).

cnf(c_0_10439_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10439]) ).

cnf(c_0_10439_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10439]) ).

cnf(c_0_10440_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10440]) ).

cnf(c_0_10440_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10440]) ).

cnf(c_0_10441_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10441]) ).

cnf(c_0_10441_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10441]) ).

cnf(c_0_10442_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10442]) ).

cnf(c_0_10442_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10442]) ).

cnf(c_0_10443_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10443]) ).

cnf(c_0_10443_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10443]) ).

cnf(c_0_10444_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10444]) ).

cnf(c_0_10444_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10444]) ).

cnf(c_0_10445_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10445]) ).

cnf(c_0_10445_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10445]) ).

cnf(c_0_10446_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10446]) ).

cnf(c_0_10446_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10446]) ).

cnf(c_0_10447_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10447]) ).

cnf(c_0_10447_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10447]) ).

cnf(c_0_10448_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10448]) ).

cnf(c_0_10448_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10448]) ).

cnf(c_0_10449_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10449]) ).

cnf(c_0_10449_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10449]) ).

cnf(c_0_10450_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10450]) ).

cnf(c_0_10450_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10450]) ).

cnf(c_0_10451_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10451]) ).

cnf(c_0_10451_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10451]) ).

cnf(c_0_10452_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10452]) ).

cnf(c_0_10452_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10452]) ).

cnf(c_0_10453_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10453]) ).

cnf(c_0_10453_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10453]) ).

cnf(c_0_10454_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10454]) ).

cnf(c_0_10454_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10454]) ).

cnf(c_0_10455_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10455]) ).

cnf(c_0_10455_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10455]) ).

cnf(c_0_10456_0,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10456]) ).

cnf(c_0_10456_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_HOL_Oinverse(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10456]) ).

cnf(c_0_10457_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10457]) ).

cnf(c_0_10457_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10457]) ).

cnf(c_0_10458_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10458]) ).

cnf(c_0_10458_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10458]) ).

cnf(c_0_10459_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10459]) ).

cnf(c_0_10459_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10459]) ).

cnf(c_0_10460_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10460]) ).

cnf(c_0_10460_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10460]) ).

cnf(c_0_10461_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10461]) ).

cnf(c_0_10461_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10461]) ).

cnf(c_0_10462_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10462]) ).

cnf(c_0_10462_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10462]) ).

cnf(c_0_10463_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10463]) ).

cnf(c_0_10463_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10463]) ).

cnf(c_0_10464_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10464]) ).

cnf(c_0_10464_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10464]) ).

cnf(c_0_10465_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10465]) ).

cnf(c_0_10465_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10465]) ).

cnf(c_0_10466_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10466]) ).

cnf(c_0_10466_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10466]) ).

cnf(c_0_10467_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10467]) ).

cnf(c_0_10467_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10467]) ).

cnf(c_0_10468_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10468]) ).

cnf(c_0_10468_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10468]) ).

cnf(c_0_10469_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10469]) ).

cnf(c_0_10469_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10469]) ).

cnf(c_0_10470_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10470]) ).

cnf(c_0_10470_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10470]) ).

cnf(c_0_10471_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10471]) ).

cnf(c_0_10471_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10471]) ).

cnf(c_0_10472_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10472]) ).

cnf(c_0_10472_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10472]) ).

cnf(c_0_10473_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10473]) ).

cnf(c_0_10473_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10473]) ).

cnf(c_0_10474_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10474]) ).

cnf(c_0_10474_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10474]) ).

cnf(c_0_10475_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10475]) ).

cnf(c_0_10475_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10475]) ).

cnf(c_0_10476_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10476]) ).

cnf(c_0_10476_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10476]) ).

cnf(c_0_10477_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10477]) ).

cnf(c_0_10477_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10477]) ).

cnf(c_0_10478_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10478]) ).

cnf(c_0_10478_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10478]) ).

cnf(c_0_10479_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10479]) ).

cnf(c_0_10479_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10479]) ).

cnf(c_0_10480_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10480]) ).

cnf(c_0_10480_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10480]) ).

cnf(c_0_10481_0,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10481]) ).

cnf(c_0_10481_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Oinverse(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10481]) ).

cnf(c_0_10482_0,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10482]) ).

cnf(c_0_10482_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10482]) ).

cnf(c_0_10483_0,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10483]) ).

cnf(c_0_10483_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10483]) ).

cnf(c_0_10484_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10484]) ).

cnf(c_0_10484_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10484]) ).

cnf(c_0_10485_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10485]) ).

cnf(c_0_10485_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10485]) ).

cnf(c_0_10486_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10486]) ).

cnf(c_0_10486_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10486]) ).

cnf(c_0_10487_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10487]) ).

cnf(c_0_10487_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10487]) ).

cnf(c_0_10488_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10488]) ).

cnf(c_0_10488_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10488]) ).

cnf(c_0_10489_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10489]) ).

cnf(c_0_10489_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10489]) ).

cnf(c_0_10490_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10490]) ).

cnf(c_0_10490_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10490]) ).

cnf(c_0_10491_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10491]) ).

cnf(c_0_10491_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10491]) ).

cnf(c_0_10492_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10492]) ).

cnf(c_0_10492_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10492]) ).

cnf(c_0_10493_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10493]) ).

cnf(c_0_10493_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10493]) ).

cnf(c_0_10494_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10494]) ).

cnf(c_0_10494_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10494]) ).

cnf(c_0_10495_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10495]) ).

cnf(c_0_10495_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10495]) ).

cnf(c_0_10496_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10496]) ).

cnf(c_0_10496_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10496]) ).

cnf(c_0_10497_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10497]) ).

cnf(c_0_10497_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10497]) ).

cnf(c_0_10498_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10498]) ).

cnf(c_0_10498_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10498]) ).

cnf(c_0_10499_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10499]) ).

cnf(c_0_10499_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10499]) ).

cnf(c_0_10500_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10500]) ).

cnf(c_0_10500_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10500]) ).

cnf(c_0_10501_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10501]) ).

cnf(c_0_10501_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10501]) ).

cnf(c_0_10502_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10502]) ).

cnf(c_0_10502_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10502]) ).

cnf(c_0_10503_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10503]) ).

cnf(c_0_10503_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10503]) ).

cnf(c_0_10504_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10504]) ).

cnf(c_0_10504_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10504]) ).

cnf(c_0_10505_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10505]) ).

cnf(c_0_10505_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10505]) ).

cnf(c_0_10506_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10506]) ).

cnf(c_0_10506_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10506]) ).

cnf(c_0_10507_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10507]) ).

cnf(c_0_10507_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10507]) ).

cnf(c_0_10508_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10508]) ).

cnf(c_0_10508_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10508]) ).

cnf(c_0_10509_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10509]) ).

cnf(c_0_10509_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10509]) ).

cnf(c_0_10510_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10510]) ).

cnf(c_0_10510_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10510]) ).

cnf(c_0_10511_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10511]) ).

cnf(c_0_10511_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10511]) ).

cnf(c_0_10512_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10512]) ).

cnf(c_0_10512_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10512]) ).

cnf(c_0_10513_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10513]) ).

cnf(c_0_10513_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10513]) ).

cnf(c_0_10514_0,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10514]) ).

cnf(c_0_10514_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10514]) ).

cnf(c_0_10515_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10515]) ).

cnf(c_0_10515_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10515]) ).

cnf(c_0_10516_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10516]) ).

cnf(c_0_10516_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10516]) ).

cnf(c_0_10517_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10517]) ).

cnf(c_0_10517_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10517]) ).

cnf(c_0_10518_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10518]) ).

cnf(c_0_10518_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10518]) ).

cnf(c_0_10519_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10519]) ).

cnf(c_0_10519_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10519]) ).

cnf(c_0_10520_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10520]) ).

cnf(c_0_10520_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10520]) ).

cnf(c_0_10521_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10521]) ).

cnf(c_0_10521_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10521]) ).

cnf(c_0_10522_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10522]) ).

cnf(c_0_10522_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10522]) ).

cnf(c_0_10523_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10523]) ).

cnf(c_0_10523_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10523]) ).

cnf(c_0_10524_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10524]) ).

cnf(c_0_10524_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10524]) ).

cnf(c_0_10525_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10525]) ).

cnf(c_0_10525_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10525]) ).

cnf(c_0_10526_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10526]) ).

cnf(c_0_10526_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10526]) ).

cnf(c_0_10527_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10527]) ).

cnf(c_0_10527_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10527]) ).

cnf(c_0_10528_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10528]) ).

cnf(c_0_10528_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10528]) ).

cnf(c_0_10529_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10529]) ).

cnf(c_0_10529_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10529]) ).

cnf(c_0_10530_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10530]) ).

cnf(c_0_10530_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10530]) ).

cnf(c_0_10531_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10531]) ).

cnf(c_0_10531_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10531]) ).

cnf(c_0_10532_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10532]) ).

cnf(c_0_10532_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10532]) ).

cnf(c_0_10533_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10533]) ).

cnf(c_0_10533_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10533]) ).

cnf(c_0_10534_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10534]) ).

cnf(c_0_10534_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10534]) ).

cnf(c_0_10535_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10535]) ).

cnf(c_0_10535_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10535]) ).

cnf(c_0_10536_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10536]) ).

cnf(c_0_10536_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10536]) ).

cnf(c_0_10537_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10537]) ).

cnf(c_0_10537_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10537]) ).

cnf(c_0_10538_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10538]) ).

cnf(c_0_10538_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10538]) ).

cnf(c_0_10539_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10539]) ).

cnf(c_0_10539_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10539]) ).

cnf(c_0_10540_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10540]) ).

cnf(c_0_10540_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10540]) ).

cnf(c_0_10541_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10541]) ).

cnf(c_0_10541_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10541]) ).

cnf(c_0_10542_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10542]) ).

cnf(c_0_10542_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10542]) ).

cnf(c_0_10543_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10543]) ).

cnf(c_0_10543_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10543]) ).

cnf(c_0_10544_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10544]) ).

cnf(c_0_10544_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10544]) ).

cnf(c_0_10545_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10545]) ).

cnf(c_0_10545_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10545]) ).

cnf(c_0_10546_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10546]) ).

cnf(c_0_10546_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10546]) ).

cnf(c_0_10547_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10547]) ).

cnf(c_0_10547_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10547]) ).

cnf(c_0_10548_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10548]) ).

cnf(c_0_10548_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10548]) ).

cnf(c_0_10549_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10549]) ).

cnf(c_0_10549_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10549]) ).

cnf(c_0_10550_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10550]) ).

cnf(c_0_10550_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10550]) ).

cnf(c_0_10551_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10551]) ).

cnf(c_0_10551_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10551]) ).

cnf(c_0_10552_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10552]) ).

cnf(c_0_10552_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10552]) ).

cnf(c_0_10553_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10553]) ).

cnf(c_0_10553_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10553]) ).

cnf(c_0_10554_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10554]) ).

cnf(c_0_10554_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10554]) ).

cnf(c_0_10555_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10555]) ).

cnf(c_0_10555_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10555]) ).

cnf(c_0_10556_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10556]) ).

cnf(c_0_10556_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10556]) ).

cnf(c_0_10557_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10557]) ).

cnf(c_0_10557_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10557]) ).

cnf(c_0_10558_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10558]) ).

cnf(c_0_10558_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10558]) ).

cnf(c_0_10559_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10559]) ).

cnf(c_0_10559_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10559]) ).

cnf(c_0_10560_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10560]) ).

cnf(c_0_10560_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10560]) ).

cnf(c_0_10561_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10561]) ).

cnf(c_0_10561_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10561]) ).

cnf(c_0_10562_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10562]) ).

cnf(c_0_10562_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10562]) ).

cnf(c_0_10563_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10563]) ).

cnf(c_0_10563_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10563]) ).

cnf(c_0_10564_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10564]) ).

cnf(c_0_10564_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10564]) ).

cnf(c_0_10565_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10565]) ).

cnf(c_0_10565_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10565]) ).

cnf(c_0_10566_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10566]) ).

cnf(c_0_10566_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10566]) ).

cnf(c_0_10567_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10567]) ).

cnf(c_0_10567_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10567]) ).

cnf(c_0_10568_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10568]) ).

cnf(c_0_10568_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10568]) ).

cnf(c_0_10569_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10569]) ).

cnf(c_0_10569_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10569]) ).

cnf(c_0_10570_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10570]) ).

cnf(c_0_10570_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10570]) ).

cnf(c_0_10571_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10571]) ).

cnf(c_0_10571_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10571]) ).

cnf(c_0_10572_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10572]) ).

cnf(c_0_10572_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10572]) ).

cnf(c_0_10573_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10573]) ).

cnf(c_0_10573_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10573]) ).

cnf(c_0_10574_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10574]) ).

cnf(c_0_10574_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10574]) ).

cnf(c_0_10575_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10575]) ).

cnf(c_0_10575_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10575]) ).

cnf(c_0_10576_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10576]) ).

cnf(c_0_10576_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10576]) ).

cnf(c_0_10577_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10577]) ).

cnf(c_0_10577_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10577]) ).

cnf(c_0_10578_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10578]) ).

cnf(c_0_10578_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10578]) ).

cnf(c_0_10579_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10579]) ).

cnf(c_0_10579_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10579]) ).

cnf(c_0_10580_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10580]) ).

cnf(c_0_10580_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10580]) ).

cnf(c_0_10581_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10581]) ).

cnf(c_0_10581_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10581]) ).

cnf(c_0_10582_0,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10582]) ).

cnf(c_0_10582_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10582]) ).

cnf(c_0_10583_0,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10583]) ).

cnf(c_0_10583_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Oinverse(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10583]) ).

cnf(c_0_10584_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10584]) ).

cnf(c_0_10584_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10584]) ).

cnf(c_0_10585_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10585]) ).

cnf(c_0_10585_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10585]) ).

cnf(c_0_10586_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10586]) ).

cnf(c_0_10586_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10586]) ).

cnf(c_0_10587_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10587]) ).

cnf(c_0_10587_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10587]) ).

cnf(c_0_10588_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10588]) ).

cnf(c_0_10588_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10588]) ).

cnf(c_0_10589_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10589]) ).

cnf(c_0_10589_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10589]) ).

cnf(c_0_10590_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10590]) ).

cnf(c_0_10590_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10590]) ).

cnf(c_0_10591_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10591]) ).

cnf(c_0_10591_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10591]) ).

cnf(c_0_10592_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10592]) ).

cnf(c_0_10592_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10592]) ).

cnf(c_0_10593_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10593]) ).

cnf(c_0_10593_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10593]) ).

cnf(c_0_10594_0,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10594]) ).

cnf(c_0_10594_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10594]) ).

cnf(c_0_10595_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10595]) ).

cnf(c_0_10595_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10595]) ).

cnf(c_0_10596_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10596]) ).

cnf(c_0_10596_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10596]) ).

cnf(c_0_10597_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10597]) ).

cnf(c_0_10597_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10597]) ).

cnf(c_0_10598_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10598]) ).

cnf(c_0_10598_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10598]) ).

cnf(c_0_10599_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10599]) ).

cnf(c_0_10599_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10599]) ).

cnf(c_0_10600_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10600]) ).

cnf(c_0_10600_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10600]) ).

cnf(c_0_10601_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10601]) ).

cnf(c_0_10601_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10601]) ).

cnf(c_0_10602_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10602]) ).

cnf(c_0_10602_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10602]) ).

cnf(c_0_10603_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10603]) ).

cnf(c_0_10603_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10603]) ).

cnf(c_0_10604_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10604]) ).

cnf(c_0_10604_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10604]) ).

cnf(c_0_10605_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10605]) ).

cnf(c_0_10605_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10605]) ).

cnf(c_0_10606_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10606]) ).

cnf(c_0_10606_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10606]) ).

cnf(c_0_10607_0,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10607]) ).

cnf(c_0_10607_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10607]) ).

cnf(c_0_10608_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10608]) ).

cnf(c_0_10608_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10608]) ).

cnf(c_0_10609_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10609]) ).

cnf(c_0_10609_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10609]) ).

cnf(c_0_10610_0,axiom,
    ( class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10610]) ).

cnf(c_0_10610_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10610]) ).

cnf(c_0_10611_0,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10611]) ).

cnf(c_0_10611_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10611]) ).

cnf(c_0_10612_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10612]) ).

cnf(c_0_10612_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10612]) ).

cnf(c_0_10613_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10613]) ).

cnf(c_0_10613_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10613]) ).

cnf(c_0_10614_0,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10614]) ).

cnf(c_0_10614_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10614]) ).

cnf(c_0_10615_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10615]) ).

cnf(c_0_10615_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10615]) ).

cnf(c_0_10616_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10616]) ).

cnf(c_0_10616_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10616]) ).

cnf(c_0_10617_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10617]) ).

cnf(c_0_10617_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10617]) ).

cnf(c_0_10618_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10618]) ).

cnf(c_0_10618_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10618]) ).

cnf(c_0_10619_0,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10619]) ).

cnf(c_0_10619_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10619]) ).

cnf(c_0_10620_0,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10620]) ).

cnf(c_0_10620_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10620]) ).

cnf(c_0_10621_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10621]) ).

cnf(c_0_10621_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10621]) ).

cnf(c_0_10622_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10622]) ).

cnf(c_0_10622_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10622]) ).

cnf(c_0_10623_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10623]) ).

cnf(c_0_10623_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10623]) ).

cnf(c_0_10624_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10624]) ).

cnf(c_0_10624_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10624]) ).

cnf(c_0_10625_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10625]) ).

cnf(c_0_10625_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10625]) ).

cnf(c_0_10626_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10626]) ).

cnf(c_0_10626_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10626]) ).

cnf(c_0_10627_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10627]) ).

cnf(c_0_10627_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10627]) ).

cnf(c_0_10628_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10628]) ).

cnf(c_0_10628_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10628]) ).

cnf(c_0_10629_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10629]) ).

cnf(c_0_10629_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10629]) ).

cnf(c_0_10630_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10630]) ).

cnf(c_0_10630_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10630]) ).

cnf(c_0_10631_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10631]) ).

cnf(c_0_10631_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10631]) ).

cnf(c_0_10632_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10632]) ).

cnf(c_0_10632_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10632]) ).

cnf(c_0_10633_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10633]) ).

cnf(c_0_10633_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10633]) ).

cnf(c_0_10634_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10634]) ).

cnf(c_0_10634_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10634]) ).

cnf(c_0_10635_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10635]) ).

cnf(c_0_10635_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10635]) ).

cnf(c_0_10636_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10636]) ).

cnf(c_0_10636_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10636]) ).

cnf(c_0_10637_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10637]) ).

cnf(c_0_10637_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10637]) ).

cnf(c_0_10638_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10638]) ).

cnf(c_0_10638_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10638]) ).

cnf(c_0_10639_0,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10639]) ).

cnf(c_0_10639_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10639]) ).

cnf(c_0_10640_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10640]) ).

cnf(c_0_10640_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10640]) ).

cnf(c_0_10641_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10641]) ).

cnf(c_0_10641_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10641]) ).

cnf(c_0_10642_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10642]) ).

cnf(c_0_10642_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10642]) ).

cnf(c_0_10643_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10643]) ).

cnf(c_0_10643_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10643]) ).

cnf(c_0_10644_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10644]) ).

cnf(c_0_10644_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10644]) ).

cnf(c_0_10645_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10645]) ).

cnf(c_0_10645_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10645]) ).

cnf(c_0_10646_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10646]) ).

cnf(c_0_10646_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10646]) ).

cnf(c_0_10647_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10647]) ).

cnf(c_0_10647_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10647]) ).

cnf(c_0_10648_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10648]) ).

cnf(c_0_10648_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10648]) ).

cnf(c_0_10649_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10649]) ).

cnf(c_0_10649_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10649]) ).

cnf(c_0_10650_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10650]) ).

cnf(c_0_10650_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10650]) ).

cnf(c_0_10651_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10651]) ).

cnf(c_0_10651_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10651]) ).

cnf(c_0_10652_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10652]) ).

cnf(c_0_10652_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10652]) ).

cnf(c_0_10653_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10653]) ).

cnf(c_0_10653_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10653]) ).

cnf(c_0_10654_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10654]) ).

cnf(c_0_10654_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10654]) ).

cnf(c_0_10655_0,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10655]) ).

cnf(c_0_10655_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10655]) ).

cnf(c_0_10656_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10656]) ).

cnf(c_0_10656_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10656]) ).

cnf(c_0_10657_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10657]) ).

cnf(c_0_10657_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10657]) ).

cnf(c_0_10658_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10658]) ).

cnf(c_0_10658_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10658]) ).

cnf(c_0_10659_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10659]) ).

cnf(c_0_10659_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10659]) ).

cnf(c_0_10660_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10660]) ).

cnf(c_0_10660_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10660]) ).

cnf(c_0_10661_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10661]) ).

cnf(c_0_10661_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10661]) ).

cnf(c_0_10662_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10662]) ).

cnf(c_0_10662_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10662]) ).

cnf(c_0_10663_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10663]) ).

cnf(c_0_10663_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10663]) ).

cnf(c_0_10664_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10664]) ).

cnf(c_0_10664_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10664]) ).

cnf(c_0_10665_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10665]) ).

cnf(c_0_10665_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10665]) ).

cnf(c_0_10666_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10666]) ).

cnf(c_0_10666_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10666]) ).

cnf(c_0_10667_0,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10667]) ).

cnf(c_0_10667_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10667]) ).

cnf(c_0_10668_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10668]) ).

cnf(c_0_10668_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10668]) ).

cnf(c_0_10669_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10669]) ).

cnf(c_0_10669_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10669]) ).

cnf(c_0_10670_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10670]) ).

cnf(c_0_10670_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10670]) ).

cnf(c_0_10671_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10671]) ).

cnf(c_0_10671_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10671]) ).

cnf(c_0_10672_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10672]) ).

cnf(c_0_10672_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10672]) ).

cnf(c_0_10673_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10673]) ).

cnf(c_0_10673_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10673]) ).

cnf(c_0_10674_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10674]) ).

cnf(c_0_10674_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10674]) ).

cnf(c_0_10675_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10675]) ).

cnf(c_0_10675_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10675]) ).

cnf(c_0_10676_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10676]) ).

cnf(c_0_10676_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10676]) ).

cnf(c_0_10677_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10677]) ).

cnf(c_0_10677_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10677]) ).

cnf(c_0_10678_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10678]) ).

cnf(c_0_10678_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10678]) ).

cnf(c_0_10679_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10679]) ).

cnf(c_0_10679_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10679]) ).

cnf(c_0_10680_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10680]) ).

cnf(c_0_10680_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10680]) ).

cnf(c_0_10681_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10681]) ).

cnf(c_0_10681_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10681]) ).

cnf(c_0_10682_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10682]) ).

cnf(c_0_10682_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10682]) ).

cnf(c_0_10683_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10683]) ).

cnf(c_0_10683_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10683]) ).

cnf(c_0_10684_0,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10684]) ).

cnf(c_0_10684_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10684]) ).

cnf(c_0_10685_0,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10685]) ).

cnf(c_0_10685_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10685]) ).

cnf(c_0_10686_0,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10686]) ).

cnf(c_0_10686_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10686]) ).

cnf(c_0_10687_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10687]) ).

cnf(c_0_10687_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10687]) ).

cnf(c_0_10688_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10688]) ).

cnf(c_0_10688_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10688]) ).

cnf(c_0_10689_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10689]) ).

cnf(c_0_10689_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10689]) ).

cnf(c_0_10690_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10690]) ).

cnf(c_0_10690_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10690]) ).

cnf(c_0_10691_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10691]) ).

cnf(c_0_10691_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10691]) ).

cnf(c_0_10692_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10692]) ).

cnf(c_0_10692_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10692]) ).

cnf(c_0_10693_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10693]) ).

cnf(c_0_10693_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10693]) ).

cnf(c_0_10694_0,axiom,
    ( class_Ring__and__Field_Oordered__semidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10694]) ).

cnf(c_0_10694_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10694]) ).

cnf(c_0_10695_0,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10695]) ).

cnf(c_0_10695_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10695]) ).

cnf(c_0_10696_0,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10696]) ).

cnf(c_0_10696_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10696]) ).

cnf(c_0_10697_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10697]) ).

cnf(c_0_10697_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10697]) ).

cnf(c_0_10698_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10698]) ).

cnf(c_0_10698_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10698]) ).

cnf(c_0_10699_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10699]) ).

cnf(c_0_10699_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10699]) ).

cnf(c_0_10700_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10700]) ).

cnf(c_0_10700_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10700]) ).

cnf(c_0_10701_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10701]) ).

cnf(c_0_10701_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10701]) ).

cnf(c_0_10702_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10702]) ).

cnf(c_0_10702_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10702]) ).

cnf(c_0_10703_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10703]) ).

cnf(c_0_10703_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10703]) ).

cnf(c_0_10704_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10704]) ).

cnf(c_0_10704_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10704]) ).

cnf(c_0_10705_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10705]) ).

cnf(c_0_10705_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10705]) ).

cnf(c_0_10706_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10706]) ).

cnf(c_0_10706_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10706]) ).

cnf(c_0_10707_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10707]) ).

cnf(c_0_10707_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10707]) ).

cnf(c_0_10708_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10708]) ).

cnf(c_0_10708_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10708]) ).

cnf(c_0_10709_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10709]) ).

cnf(c_0_10709_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10709]) ).

cnf(c_0_10710_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10710]) ).

cnf(c_0_10710_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10710]) ).

cnf(c_0_10711_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10711]) ).

cnf(c_0_10711_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10711]) ).

cnf(c_0_10712_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10712]) ).

cnf(c_0_10712_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10712]) ).

cnf(c_0_10713_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10713]) ).

cnf(c_0_10713_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10713]) ).

cnf(c_0_10714_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10714]) ).

cnf(c_0_10714_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10714]) ).

cnf(c_0_10715_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10715]) ).

cnf(c_0_10715_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10715]) ).

cnf(c_0_10716_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10716]) ).

cnf(c_0_10716_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10716]) ).

cnf(c_0_10717_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10717]) ).

cnf(c_0_10717_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10717]) ).

cnf(c_0_10718_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10718]) ).

cnf(c_0_10718_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10718]) ).

cnf(c_0_10719_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10719]) ).

cnf(c_0_10719_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10719]) ).

cnf(c_0_10720_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10720]) ).

cnf(c_0_10720_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10720]) ).

cnf(c_0_10721_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10721]) ).

cnf(c_0_10721_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10721]) ).

cnf(c_0_10722_0,axiom,
    ( class_Ring__and__Field_Oaxclass__abs__if(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10722]) ).

cnf(c_0_10722_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10722]) ).

cnf(c_0_10723_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10723]) ).

cnf(c_0_10723_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Olordered__ab__group(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10723]) ).

cnf(c_0_10724_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10724]) ).

cnf(c_0_10724_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10724]) ).

cnf(c_0_10725_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10725]) ).

cnf(c_0_10725_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10725]) ).

cnf(c_0_10726_0,axiom,
    ( class_Ring__and__Field_Olordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10726]) ).

cnf(c_0_10726_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10726]) ).

cnf(c_0_10727_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10727]) ).

cnf(c_0_10727_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10727]) ).

cnf(c_0_10728_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10728]) ).

cnf(c_0_10728_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10728]) ).

cnf(c_0_10729_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__meet(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10729]) ).

cnf(c_0_10729_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10729]) ).

cnf(c_0_10730_0,axiom,
    ( class_OrderedGroup_Olordered__ab__group__join(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10730]) ).

cnf(c_0_10730_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10730]) ).

cnf(c_0_10731_0,axiom,
    ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10731]) ).

cnf(c_0_10731_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10731]) ).

cnf(c_0_10732_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10732]) ).

cnf(c_0_10732_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10732]) ).

cnf(c_0_10733_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10733]) ).

cnf(c_0_10733_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10733]) ).

cnf(c_0_10734_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10734]) ).

cnf(c_0_10734_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10734]) ).

cnf(c_0_10735_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10735]) ).

cnf(c_0_10735_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10735]) ).

cnf(c_0_10736_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10736]) ).

cnf(c_0_10736_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10736]) ).

cnf(c_0_10737_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10737]) ).

cnf(c_0_10737_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10737]) ).

cnf(c_0_10738_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10738]) ).

cnf(c_0_10738_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10738]) ).

cnf(c_0_10739_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10739]) ).

cnf(c_0_10739_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10739]) ).

cnf(c_0_10740_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10740]) ).

cnf(c_0_10740_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10740]) ).

cnf(c_0_10741_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10741]) ).

cnf(c_0_10741_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10741]) ).

cnf(c_0_10742_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10742]) ).

cnf(c_0_10742_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10742]) ).

cnf(c_0_10743_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10743]) ).

cnf(c_0_10743_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10743]) ).

cnf(c_0_10744_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10744]) ).

cnf(c_0_10744_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10744]) ).

cnf(c_0_10745_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10745]) ).

cnf(c_0_10745_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10745]) ).

cnf(c_0_10746_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10746]) ).

cnf(c_0_10746_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10746]) ).

cnf(c_0_10747_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10747]) ).

cnf(c_0_10747_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10747]) ).

cnf(c_0_10748_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10748]) ).

cnf(c_0_10748_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10748]) ).

cnf(c_0_10749_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10749]) ).

cnf(c_0_10749_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10749]) ).

cnf(c_0_10750_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10750]) ).

cnf(c_0_10750_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10750]) ).

cnf(c_0_10751_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10751]) ).

cnf(c_0_10751_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10751]) ).

cnf(c_0_10752_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10752]) ).

cnf(c_0_10752_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10752]) ).

cnf(c_0_10753_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10753]) ).

cnf(c_0_10753_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10753]) ).

cnf(c_0_10754_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10754]) ).

cnf(c_0_10754_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10754]) ).

cnf(c_0_10755_0,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10755]) ).

cnf(c_0_10755_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10755]) ).

cnf(c_0_10756_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10756]) ).

cnf(c_0_10756_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10756]) ).

cnf(c_0_10757_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10757]) ).

cnf(c_0_10757_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10757]) ).

cnf(c_0_10758_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10758]) ).

cnf(c_0_10758_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10758]) ).

cnf(c_0_10759_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10759]) ).

cnf(c_0_10759_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10759]) ).

cnf(c_0_10760_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10760]) ).

cnf(c_0_10760_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10760]) ).

cnf(c_0_10761_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10761]) ).

cnf(c_0_10761_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10761]) ).

cnf(c_0_10762_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10762]) ).

cnf(c_0_10762_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10762]) ).

cnf(c_0_10763_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10763]) ).

cnf(c_0_10763_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10763]) ).

cnf(c_0_10764_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10764]) ).

cnf(c_0_10764_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10764]) ).

cnf(c_0_10765_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10765]) ).

cnf(c_0_10765_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10765]) ).

cnf(c_0_10766_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10766]) ).

cnf(c_0_10766_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10766]) ).

cnf(c_0_10767_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10767]) ).

cnf(c_0_10767_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10767]) ).

cnf(c_0_10768_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10768]) ).

cnf(c_0_10768_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10768]) ).

cnf(c_0_10769_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10769]) ).

cnf(c_0_10769_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10769]) ).

cnf(c_0_10770_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10770]) ).

cnf(c_0_10770_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10770]) ).

cnf(c_0_10771_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10771]) ).

cnf(c_0_10771_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10771]) ).

cnf(c_0_10772_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10772]) ).

cnf(c_0_10772_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10772]) ).

cnf(c_0_10773_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10773]) ).

cnf(c_0_10773_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10773]) ).

cnf(c_0_10774_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10774]) ).

cnf(c_0_10774_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10774]) ).

cnf(c_0_10775_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10775]) ).

cnf(c_0_10775_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10775]) ).

cnf(c_0_10776_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10776]) ).

cnf(c_0_10776_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10776]) ).

cnf(c_0_10777_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10777]) ).

cnf(c_0_10777_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10777]) ).

cnf(c_0_10778_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10778]) ).

cnf(c_0_10778_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10778]) ).

cnf(c_0_10779_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10779]) ).

cnf(c_0_10779_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10779]) ).

cnf(c_0_10780_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10780]) ).

cnf(c_0_10780_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10780]) ).

cnf(c_0_10781_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10781]) ).

cnf(c_0_10781_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10781]) ).

cnf(c_0_10782_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10782]) ).

cnf(c_0_10782_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10782]) ).

cnf(c_0_10783_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10783]) ).

cnf(c_0_10783_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10783]) ).

cnf(c_0_10784_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10784]) ).

cnf(c_0_10784_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10784]) ).

cnf(c_0_10785_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10785]) ).

cnf(c_0_10785_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10785]) ).

cnf(c_0_10786_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10786]) ).

cnf(c_0_10786_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10786]) ).

cnf(c_0_10787_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10787]) ).

cnf(c_0_10787_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10787]) ).

cnf(c_0_10788_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10788]) ).

cnf(c_0_10788_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10788]) ).

cnf(c_0_10789_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10789]) ).

cnf(c_0_10789_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10789]) ).

cnf(c_0_10790_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10790]) ).

cnf(c_0_10790_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10790]) ).

cnf(c_0_10791_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10791]) ).

cnf(c_0_10791_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10791]) ).

cnf(c_0_10792_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10792]) ).

cnf(c_0_10792_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10792]) ).

cnf(c_0_10793_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10793]) ).

cnf(c_0_10793_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10793]) ).

cnf(c_0_10794_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10794]) ).

cnf(c_0_10794_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10794]) ).

cnf(c_0_10795_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10795]) ).

cnf(c_0_10795_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10795]) ).

cnf(c_0_10796_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10796]) ).

cnf(c_0_10796_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10796]) ).

cnf(c_0_10797_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10797]) ).

cnf(c_0_10797_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10797]) ).

cnf(c_0_10798_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10798]) ).

cnf(c_0_10798_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10798]) ).

cnf(c_0_10799_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10799]) ).

cnf(c_0_10799_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10799]) ).

cnf(c_0_10800_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10800]) ).

cnf(c_0_10800_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10800]) ).

cnf(c_0_10801_0,axiom,
    ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10801]) ).

cnf(c_0_10801_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10801]) ).

cnf(c_0_10802_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10802]) ).

cnf(c_0_10802_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10802]) ).

cnf(c_0_10803_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10803]) ).

cnf(c_0_10803_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10803]) ).

cnf(c_0_10804_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10804]) ).

cnf(c_0_10804_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10804]) ).

cnf(c_0_10805_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10805]) ).

cnf(c_0_10805_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10805]) ).

cnf(c_0_10806_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10806]) ).

cnf(c_0_10806_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10806]) ).

cnf(c_0_10807_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10807]) ).

cnf(c_0_10807_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10807]) ).

cnf(c_0_10808_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10808]) ).

cnf(c_0_10808_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10808]) ).

cnf(c_0_10809_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10809]) ).

cnf(c_0_10809_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10809]) ).

cnf(c_0_10810_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10810]) ).

cnf(c_0_10810_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10810]) ).

cnf(c_0_10811_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10811]) ).

cnf(c_0_10811_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10811]) ).

cnf(c_0_10812_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10812]) ).

cnf(c_0_10812_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10812]) ).

cnf(c_0_10813_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10813]) ).

cnf(c_0_10813_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10813]) ).

cnf(c_0_10814_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10814]) ).

cnf(c_0_10814_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10814]) ).

cnf(c_0_10815_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10815]) ).

cnf(c_0_10815_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10815]) ).

cnf(c_0_10816_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10816]) ).

cnf(c_0_10816_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10816]) ).

cnf(c_0_10817_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10817]) ).

cnf(c_0_10817_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10817]) ).

cnf(c_0_10818_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10818]) ).

cnf(c_0_10818_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10818]) ).

cnf(c_0_10819_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10819]) ).

cnf(c_0_10819_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10819]) ).

cnf(c_0_10820_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10820]) ).

cnf(c_0_10820_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10820]) ).

cnf(c_0_10821_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10821]) ).

cnf(c_0_10821_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10821]) ).

cnf(c_0_10822_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10822]) ).

cnf(c_0_10822_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10822]) ).

cnf(c_0_10823_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10823]) ).

cnf(c_0_10823_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10823]) ).

cnf(c_0_10824_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10824]) ).

cnf(c_0_10824_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10824]) ).

cnf(c_0_10825_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10825]) ).

cnf(c_0_10825_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10825]) ).

cnf(c_0_10826_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10826]) ).

cnf(c_0_10826_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10826]) ).

cnf(c_0_10827_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10827]) ).

cnf(c_0_10827_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10827]) ).

cnf(c_0_10828_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10828]) ).

cnf(c_0_10828_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10828]) ).

cnf(c_0_10829_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10829]) ).

cnf(c_0_10829_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10829]) ).

cnf(c_0_10830_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10830]) ).

cnf(c_0_10830_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10830]) ).

cnf(c_0_10831_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10831]) ).

cnf(c_0_10831_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10831]) ).

cnf(c_0_10832_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10832]) ).

cnf(c_0_10832_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10832]) ).

cnf(c_0_10833_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10833]) ).

cnf(c_0_10833_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10833]) ).

cnf(c_0_10834_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10834]) ).

cnf(c_0_10834_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10834]) ).

cnf(c_0_10835_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10835]) ).

cnf(c_0_10835_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10835]) ).

cnf(c_0_10836_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10836]) ).

cnf(c_0_10836_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10836]) ).

cnf(c_0_10837_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10837]) ).

cnf(c_0_10837_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10837]) ).

cnf(c_0_10838_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10838]) ).

cnf(c_0_10838_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10838]) ).

cnf(c_0_10839_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10839]) ).

cnf(c_0_10839_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10839]) ).

cnf(c_0_10840_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10840]) ).

cnf(c_0_10840_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10840]) ).

cnf(c_0_10841_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10841]) ).

cnf(c_0_10841_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10841]) ).

cnf(c_0_10842_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10842]) ).

cnf(c_0_10842_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10842]) ).

cnf(c_0_10843_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10843]) ).

cnf(c_0_10843_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10843]) ).

cnf(c_0_10844_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10844]) ).

cnf(c_0_10844_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10844]) ).

cnf(c_0_10845_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10845]) ).

cnf(c_0_10845_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10845]) ).

cnf(c_0_10846_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10846]) ).

cnf(c_0_10846_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10846]) ).

cnf(c_0_10847_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10847]) ).

cnf(c_0_10847_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10847]) ).

cnf(c_0_10848_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10848]) ).

cnf(c_0_10848_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10848]) ).

cnf(c_0_10849_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10849]) ).

cnf(c_0_10849_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10849]) ).

cnf(c_0_10850_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10850]) ).

cnf(c_0_10850_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10850]) ).

cnf(c_0_10851_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10851]) ).

cnf(c_0_10851_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10851]) ).

cnf(c_0_10852_0,axiom,
    ( class_Ring__and__Field_Opordered__comm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10852]) ).

cnf(c_0_10852_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10852]) ).

cnf(c_0_10853_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10853]) ).

cnf(c_0_10853_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10853]) ).

cnf(c_0_10854_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10854]) ).

cnf(c_0_10854_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10854]) ).

cnf(c_0_10855_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10855]) ).

cnf(c_0_10855_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10855]) ).

cnf(c_0_10856_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10856]) ).

cnf(c_0_10856_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10856]) ).

cnf(c_0_10857_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10857]) ).

cnf(c_0_10857_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10857]) ).

cnf(c_0_10858_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10858]) ).

cnf(c_0_10858_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10858]) ).

cnf(c_0_10859_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10859]) ).

cnf(c_0_10859_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10859]) ).

cnf(c_0_10860_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10860]) ).

cnf(c_0_10860_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10860]) ).

cnf(c_0_10861_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10861]) ).

cnf(c_0_10861_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10861]) ).

cnf(c_0_10862_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10862]) ).

cnf(c_0_10862_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10862]) ).

cnf(c_0_10863_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10863]) ).

cnf(c_0_10863_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10863]) ).

cnf(c_0_10864_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10864]) ).

cnf(c_0_10864_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10864]) ).

cnf(c_0_10865_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10865]) ).

cnf(c_0_10865_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10865]) ).

cnf(c_0_10866_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10866]) ).

cnf(c_0_10866_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10866]) ).

cnf(c_0_10867_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10867]) ).

cnf(c_0_10867_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10867]) ).

cnf(c_0_10868_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10868]) ).

cnf(c_0_10868_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10868]) ).

cnf(c_0_10869_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10869]) ).

cnf(c_0_10869_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10869]) ).

cnf(c_0_10870_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10870]) ).

cnf(c_0_10870_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10870]) ).

cnf(c_0_10871_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10871]) ).

cnf(c_0_10871_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10871]) ).

cnf(c_0_10872_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10872]) ).

cnf(c_0_10872_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10872]) ).

cnf(c_0_10873_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10873]) ).

cnf(c_0_10873_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10873]) ).

cnf(c_0_10874_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10874]) ).

cnf(c_0_10874_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10874]) ).

cnf(c_0_10875_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10875]) ).

cnf(c_0_10875_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10875]) ).

cnf(c_0_10876_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10876]) ).

cnf(c_0_10876_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10876]) ).

cnf(c_0_10877_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10877]) ).

cnf(c_0_10877_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10877]) ).

cnf(c_0_10878_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10878]) ).

cnf(c_0_10878_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10878]) ).

cnf(c_0_10879_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10879]) ).

cnf(c_0_10879_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10879]) ).

cnf(c_0_10880_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10880]) ).

cnf(c_0_10880_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10880]) ).

cnf(c_0_10881_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10881]) ).

cnf(c_0_10881_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10881]) ).

cnf(c_0_10882_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10882]) ).

cnf(c_0_10882_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10882]) ).

cnf(c_0_10883_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10883]) ).

cnf(c_0_10883_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10883]) ).

cnf(c_0_10884_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10884]) ).

cnf(c_0_10884_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10884]) ).

cnf(c_0_10885_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10885]) ).

cnf(c_0_10885_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10885]) ).

cnf(c_0_10886_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10886]) ).

cnf(c_0_10886_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10886]) ).

cnf(c_0_10887_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10887]) ).

cnf(c_0_10887_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10887]) ).

cnf(c_0_10888_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10888]) ).

cnf(c_0_10888_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10888]) ).

cnf(c_0_10889_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10889]) ).

cnf(c_0_10889_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10889]) ).

cnf(c_0_10890_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10890]) ).

cnf(c_0_10890_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10890]) ).

cnf(c_0_10891_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10891]) ).

cnf(c_0_10891_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10891]) ).

cnf(c_0_10892_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10892]) ).

cnf(c_0_10892_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10892]) ).

cnf(c_0_10893_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10893]) ).

cnf(c_0_10893_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10893]) ).

cnf(c_0_10894_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10894]) ).

cnf(c_0_10894_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10894]) ).

cnf(c_0_10895_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10895]) ).

cnf(c_0_10895_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10895]) ).

cnf(c_0_10896_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10896]) ).

cnf(c_0_10896_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10896]) ).

cnf(c_0_10897_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10897]) ).

cnf(c_0_10897_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10897]) ).

cnf(c_0_10898_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10898]) ).

cnf(c_0_10898_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10898]) ).

cnf(c_0_10899_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10899]) ).

cnf(c_0_10899_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10899]) ).

cnf(c_0_10900_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10900]) ).

cnf(c_0_10900_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10900]) ).

cnf(c_0_10901_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10901]) ).

cnf(c_0_10901_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10901]) ).

cnf(c_0_10902_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10902]) ).

cnf(c_0_10902_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10902]) ).

cnf(c_0_10903_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10903]) ).

cnf(c_0_10903_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10903]) ).

cnf(c_0_10904_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10904]) ).

cnf(c_0_10904_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10904]) ).

cnf(c_0_10905_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10905]) ).

cnf(c_0_10905_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10905]) ).

cnf(c_0_10906_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10906]) ).

cnf(c_0_10906_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10906]) ).

cnf(c_0_10907_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10907]) ).

cnf(c_0_10907_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10907]) ).

cnf(c_0_10908_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10908]) ).

cnf(c_0_10908_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10908]) ).

cnf(c_0_10909_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10909]) ).

cnf(c_0_10909_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10909]) ).

cnf(c_0_10910_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10910]) ).

cnf(c_0_10910_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10910]) ).

cnf(c_0_10911_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10911]) ).

cnf(c_0_10911_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10911]) ).

cnf(c_0_10912_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10912]) ).

cnf(c_0_10912_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10912]) ).

cnf(c_0_10913_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10913]) ).

cnf(c_0_10913_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10913]) ).

cnf(c_0_10914_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10914]) ).

cnf(c_0_10914_1,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10914]) ).

cnf(c_0_10915_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10915]) ).

cnf(c_0_10915_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10915]) ).

cnf(c_0_10916_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10916]) ).

cnf(c_0_10916_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10916]) ).

cnf(c_0_10917_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10917]) ).

cnf(c_0_10917_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10917]) ).

cnf(c_0_10918_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10918]) ).

cnf(c_0_10918_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10918]) ).

cnf(c_0_10919_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10919]) ).

cnf(c_0_10919_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10919]) ).

cnf(c_0_10920_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10920]) ).

cnf(c_0_10920_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10920]) ).

cnf(c_0_10921_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10921]) ).

cnf(c_0_10921_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10921]) ).

cnf(c_0_10922_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10922]) ).

cnf(c_0_10922_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10922]) ).

cnf(c_0_10923_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10923]) ).

cnf(c_0_10923_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10923]) ).

cnf(c_0_10924_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10924]) ).

cnf(c_0_10924_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10924]) ).

cnf(c_0_10925_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10925]) ).

cnf(c_0_10925_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10925]) ).

cnf(c_0_10926_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10926]) ).

cnf(c_0_10926_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10926]) ).

cnf(c_0_10927_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10927]) ).

cnf(c_0_10927_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10927]) ).

cnf(c_0_10928_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10928]) ).

cnf(c_0_10928_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10928]) ).

cnf(c_0_10929_0,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10929]) ).

cnf(c_0_10929_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10929]) ).

cnf(c_0_10930_0,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10930]) ).

cnf(c_0_10930_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10930]) ).

cnf(c_0_10931_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10931]) ).

cnf(c_0_10931_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10931]) ).

cnf(c_0_10932_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10932]) ).

cnf(c_0_10932_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10932]) ).

cnf(c_0_10933_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10933]) ).

cnf(c_0_10933_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10933]) ).

cnf(c_0_10934_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10934]) ).

cnf(c_0_10934_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10934]) ).

cnf(c_0_10935_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10935]) ).

cnf(c_0_10935_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10935]) ).

cnf(c_0_10936_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10936]) ).

cnf(c_0_10936_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10936]) ).

cnf(c_0_10937_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10937]) ).

cnf(c_0_10937_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10937]) ).

cnf(c_0_10938_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10938]) ).

cnf(c_0_10938_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10938]) ).

cnf(c_0_10939_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10939]) ).

cnf(c_0_10939_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10939]) ).

cnf(c_0_10940_0,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10940]) ).

cnf(c_0_10940_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10940]) ).

cnf(c_0_10941_0,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10941]) ).

cnf(c_0_10941_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10941]) ).

cnf(c_0_10942_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10942]) ).

cnf(c_0_10942_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10942]) ).

cnf(c_0_10943_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10943]) ).

cnf(c_0_10943_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10943]) ).

cnf(c_0_10944_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10944]) ).

cnf(c_0_10944_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10944]) ).

cnf(c_0_10945_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10945]) ).

cnf(c_0_10945_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10945]) ).

cnf(c_0_10946_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10946]) ).

cnf(c_0_10946_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10946]) ).

cnf(c_0_10947_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10947]) ).

cnf(c_0_10947_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10947]) ).

cnf(c_0_10948_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10948]) ).

cnf(c_0_10948_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10948]) ).

cnf(c_0_10949_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10949]) ).

cnf(c_0_10949_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10949]) ).

cnf(c_0_10950_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10950]) ).

cnf(c_0_10950_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10950]) ).

cnf(c_0_10951_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10951]) ).

cnf(c_0_10951_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10951]) ).

cnf(c_0_10952_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10952]) ).

cnf(c_0_10952_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10952]) ).

cnf(c_0_10953_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10953]) ).

cnf(c_0_10953_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10953]) ).

cnf(c_0_10954_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10954]) ).

cnf(c_0_10954_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10954]) ).

cnf(c_0_10955_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10955]) ).

cnf(c_0_10955_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10955]) ).

cnf(c_0_10956_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10956]) ).

cnf(c_0_10956_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10956]) ).

cnf(c_0_10957_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10957]) ).

cnf(c_0_10957_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10957]) ).

cnf(c_0_10958_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10958]) ).

cnf(c_0_10958_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10958]) ).

cnf(c_0_10959_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10959]) ).

cnf(c_0_10959_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10959]) ).

cnf(c_0_10960_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10960]) ).

cnf(c_0_10960_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10960]) ).

cnf(c_0_10961_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10961]) ).

cnf(c_0_10961_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10961]) ).

cnf(c_0_10962_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10962]) ).

cnf(c_0_10962_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10962]) ).

cnf(c_0_10963_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10963]) ).

cnf(c_0_10963_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10963]) ).

cnf(c_0_10964_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10964]) ).

cnf(c_0_10964_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10964]) ).

cnf(c_0_10965_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10965]) ).

cnf(c_0_10965_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10965]) ).

cnf(c_0_10966_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10966]) ).

cnf(c_0_10966_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10966]) ).

cnf(c_0_10967_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10967]) ).

cnf(c_0_10967_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10967]) ).

cnf(c_0_10968_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10968]) ).

cnf(c_0_10968_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10968]) ).

cnf(c_0_10969_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10969]) ).

cnf(c_0_10969_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10969]) ).

cnf(c_0_10970_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10970]) ).

cnf(c_0_10970_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10970]) ).

cnf(c_0_10971_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10971]) ).

cnf(c_0_10971_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10971]) ).

cnf(c_0_10972_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10972]) ).

cnf(c_0_10972_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10972]) ).

cnf(c_0_10973_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10973]) ).

cnf(c_0_10973_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10973]) ).

cnf(c_0_10974_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10974]) ).

cnf(c_0_10974_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10974]) ).

cnf(c_0_10975_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10975]) ).

cnf(c_0_10975_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10975]) ).

cnf(c_0_10976_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10976]) ).

cnf(c_0_10976_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10976]) ).

cnf(c_0_10977_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10977]) ).

cnf(c_0_10977_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10977]) ).

cnf(c_0_10978_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10978]) ).

cnf(c_0_10978_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10978]) ).

cnf(c_0_10979_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10979]) ).

cnf(c_0_10979_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10979]) ).

cnf(c_0_10980_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10980]) ).

cnf(c_0_10980_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10980]) ).

cnf(c_0_10981_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10981]) ).

cnf(c_0_10981_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10981]) ).

cnf(c_0_10982_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10982]) ).

cnf(c_0_10982_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10982]) ).

cnf(c_0_10983_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10983]) ).

cnf(c_0_10983_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10983]) ).

cnf(c_0_10984_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10984]) ).

cnf(c_0_10984_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10984]) ).

cnf(c_0_10985_0,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10985]) ).

cnf(c_0_10985_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10985]) ).

cnf(c_0_10986_0,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10986]) ).

cnf(c_0_10986_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10986]) ).

cnf(c_0_10987_0,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10987]) ).

cnf(c_0_10987_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_HOL_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10987]) ).

cnf(c_0_10988_0,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10988]) ).

cnf(c_0_10988_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Osemigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10988]) ).

cnf(c_0_10989_0,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10989]) ).

cnf(c_0_10989_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_HOL_Otimes(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10989]) ).

cnf(c_0_10990_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10990]) ).

cnf(c_0_10990_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10990]) ).

cnf(c_0_10991_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10991]) ).

cnf(c_0_10991_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10991]) ).

cnf(c_0_10992_0,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10992]) ).

cnf(c_0_10992_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10992]) ).

cnf(c_0_10993_0,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10993]) ).

cnf(c_0_10993_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10993]) ).

cnf(c_0_10994_0,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10994]) ).

cnf(c_0_10994_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10994]) ).

cnf(c_0_10995_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10995]) ).

cnf(c_0_10995_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10995]) ).

cnf(c_0_10996_0,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10996]) ).

cnf(c_0_10996_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_HOL_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10996]) ).

cnf(c_0_10997_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10997]) ).

cnf(c_0_10997_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10997]) ).

cnf(c_0_10998_0,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10998]) ).

cnf(c_0_10998_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10998]) ).

cnf(c_0_10999_0,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10999]) ).

cnf(c_0_10999_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_HOL_Oplus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10999]) ).

cnf(c_0_11000_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11000]) ).

cnf(c_0_11000_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11000]) ).

cnf(c_0_11001_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11001]) ).

cnf(c_0_11001_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11001]) ).

cnf(c_0_11002_0,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11002]) ).

cnf(c_0_11002_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11002]) ).

cnf(c_0_11003_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11003]) ).

cnf(c_0_11003_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11003]) ).

cnf(c_0_11004_0,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11004]) ).

cnf(c_0_11004_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11004]) ).

cnf(c_0_11005_0,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11005]) ).

cnf(c_0_11005_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11005]) ).

cnf(c_0_11006_0,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11006]) ).

cnf(c_0_11006_1,axiom,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11006]) ).

cnf(c_0_11007_0,axiom,
    ( X1 = c_0
    | c_IntDef_Oint(X1) != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_11007]) ).

cnf(c_0_11007_1,axiom,
    ( c_IntDef_Oint(X1) != c_0
    | X1 = c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_11007]) ).

cnf(c_0_11008_0,axiom,
    ( c_1 != c_0
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11008]) ).

cnf(c_0_11008_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_1 != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_11008]) ).

cnf(c_0_11009_0,axiom,
    ( c_1 != c_0
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11009]) ).

cnf(c_0_11009_1,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_1 != c_0 ),
    inference(literals_permutation,[status(thm)],[c_0_11009]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_3821,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('<stdin>',cls_conjecture_7) ).

fof(c_0_1_3822,negated_conjecture,
    ! [X1] : ~ c_in(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),X1))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('<stdin>',cls_conjecture_5) ).

fof(c_0_2_3823,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('<stdin>',cls_conjecture_4) ).

fof(c_0_3_3824,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_6) ).

fof(c_0_4_3825,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('<stdin>',cls_conjecture_3) ).

fof(c_0_5_3826,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_6_3827,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_7_3828,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_8_3829,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    file('<stdin>',cls_conjecture_8) ).

fof(c_0_9_3830,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_0 ).

fof(c_0_10_3831,negated_conjecture,
    ! [X1] : ~ c_in(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),X1))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_11_3832,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_2 ).

fof(c_0_12_3833,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_13_3834,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_14_3835,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_15_3836,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_16_3837,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    c_0_7 ).

fof(c_0_17_3838,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    c_0_8 ).

fof(c_0_18_3839,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_9 ).

fof(c_0_19_3840,negated_conjecture,
    ! [X2] : ~ c_in(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),X2))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_20_3841,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_11 ).

fof(c_0_21_3842,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    c_0_12 ).

fof(c_0_22_3843,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    c_0_13 ).

fof(c_0_23_3844,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_14 ).

fof(c_0_24_3845,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_15 ).

fof(c_0_25_3846,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    c_0_16 ).

fof(c_0_26_3847,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    c_0_17 ).

cnf(c_0_27_3848,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28_3849,negated_conjecture,
    ~ c_in(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),X1))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29_3850,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30_3851,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31_3852,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32_3853,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33_3854,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34_3855,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35_3856,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36_3857,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_27,
    [final] ).

cnf(c_0_37_3858,negated_conjecture,
    ~ c_in(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),X1))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_28,
    [final] ).

cnf(c_0_38_3859,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    c_0_29,
    [final] ).

cnf(c_0_39_3860,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    c_0_30,
    [final] ).

cnf(c_0_40_3861,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    c_0_31,
    [final] ).

cnf(c_0_41_3862,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_32,
    [final] ).

cnf(c_0_42_3863,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_33,
    [final] ).

cnf(c_0_43_3864,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    c_0_34,
    [final] ).

cnf(c_0_44_3865,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    c_0_35,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_2534,plain,
    ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_18c831.p',c_0_9576_1) ).

cnf(c_11491,plain,
    ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_2534]) ).

cnf(c_240594,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_11491]) ).

cnf(c_1338,plain,
    ( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_18c831.p',c_0_9167_0) ).

cnf(c_10295,plain,
    ( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    inference(copy,[status(esa)],[c_1338]) ).

cnf(c_93408,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_10295]) ).

cnf(c_157963,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(instantiation,[status(thm)],[c_93408]) ).

cnf(c_6412,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/iprover_modulo_18c831.p',c_0_39) ).

cnf(c_6417,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/iprover_modulo_18c831.p',c_0_38) ).

cnf(c_6418,negated_conjecture,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_18c831.p',c_0_43) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_240594,c_157963,c_6412,c_6417,c_6418]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 23:09:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.63/0.81  % Orienting using strategy Equiv(ClausalAll)
% 0.63/0.81  % Orientation found
% 0.63/0.81  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bff132.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_18c831.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9d1a1c | grep -v "SZS"
% 0.63/0.82  
% 0.63/0.82  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.63/0.82  
% 0.63/0.82  % 
% 0.63/0.82  % ------  iProver source info 
% 0.63/0.82  
% 0.63/0.82  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.63/0.82  % git: non_committed_changes: true
% 0.63/0.82  % git: last_make_outside_of_git: true
% 0.63/0.82  
% 0.63/0.82  % 
% 0.63/0.82  % ------ Input Options
% 0.63/0.82  
% 0.63/0.82  % --out_options                         all
% 0.63/0.82  % --tptp_safe_out                       true
% 0.63/0.82  % --problem_path                        ""
% 0.63/0.82  % --include_path                        ""
% 0.63/0.82  % --clausifier                          .//eprover
% 0.63/0.82  % --clausifier_options                  --tstp-format  
% 0.63/0.82  % --stdin                               false
% 0.63/0.82  % --dbg_backtrace                       false
% 0.63/0.82  % --dbg_dump_prop_clauses               false
% 0.63/0.82  % --dbg_dump_prop_clauses_file          -
% 0.63/0.82  % --dbg_out_stat                        false
% 0.63/0.82  
% 0.63/0.82  % ------ General Options
% 0.63/0.82  
% 0.63/0.82  % --fof                                 false
% 0.63/0.82  % --time_out_real                       150.
% 0.63/0.82  % --time_out_prep_mult                  0.2
% 0.63/0.82  % --time_out_virtual                    -1.
% 0.63/0.82  % --schedule                            none
% 0.63/0.82  % --ground_splitting                    input
% 0.63/0.82  % --splitting_nvd                       16
% 0.63/0.82  % --non_eq_to_eq                        false
% 0.63/0.82  % --prep_gs_sim                         true
% 0.63/0.82  % --prep_unflatten                      false
% 0.63/0.82  % --prep_res_sim                        true
% 0.63/0.82  % --prep_upred                          true
% 0.63/0.82  % --res_sim_input                       true
% 0.63/0.82  % --clause_weak_htbl                    true
% 0.63/0.82  % --gc_record_bc_elim                   false
% 0.63/0.82  % --symbol_type_check                   false
% 0.63/0.82  % --clausify_out                        false
% 0.63/0.82  % --large_theory_mode                   false
% 0.63/0.82  % --prep_sem_filter                     none
% 0.63/0.82  % --prep_sem_filter_out                 false
% 0.63/0.82  % --preprocessed_out                    false
% 0.63/0.82  % --sub_typing                          false
% 0.63/0.82  % --brand_transform                     false
% 0.63/0.82  % --pure_diseq_elim                     true
% 0.63/0.82  % --min_unsat_core                      false
% 0.63/0.82  % --pred_elim                           true
% 0.63/0.82  % --add_important_lit                   false
% 0.63/0.82  % --soft_assumptions                    false
% 0.63/0.82  % --reset_solvers                       false
% 0.63/0.82  % --bc_imp_inh                          []
% 0.63/0.82  % --conj_cone_tolerance                 1.5
% 0.63/0.82  % --prolific_symb_bound                 500
% 0.63/0.82  % --lt_threshold                        2000
% 0.63/0.82  
% 0.63/0.82  % ------ SAT Options
% 0.63/0.82  
% 0.63/0.82  % --sat_mode                            false
% 0.63/0.82  % --sat_fm_restart_options              ""
% 0.63/0.82  % --sat_gr_def                          false
% 0.63/0.82  % --sat_epr_types                       true
% 0.63/0.82  % --sat_non_cyclic_types                false
% 0.63/0.82  % --sat_finite_models                   false
% 0.63/0.82  % --sat_fm_lemmas                       false
% 0.63/0.82  % --sat_fm_prep                         false
% 0.63/0.82  % --sat_fm_uc_incr                      true
% 0.63/0.82  % --sat_out_model                       small
% 0.63/0.82  % --sat_out_clauses                     false
% 0.63/0.82  
% 0.63/0.82  % ------ QBF Options
% 0.63/0.82  
% 0.63/0.82  % --qbf_mode                            false
% 0.63/0.82  % --qbf_elim_univ                       true
% 0.63/0.82  % --qbf_sk_in                           true
% 0.63/0.82  % --qbf_pred_elim                       true
% 0.63/0.82  % --qbf_split                           32
% 0.63/0.82  
% 0.63/0.82  % ------ BMC1 Options
% 0.63/0.82  
% 0.63/0.82  % --bmc1_incremental                    false
% 0.63/0.82  % --bmc1_axioms                         reachable_all
% 0.63/0.82  % --bmc1_min_bound                      0
% 0.63/0.82  % --bmc1_max_bound                      -1
% 0.63/0.82  % --bmc1_max_bound_default              -1
% 0.63/0.82  % --bmc1_symbol_reachability            true
% 0.63/0.82  % --bmc1_property_lemmas                false
% 0.63/0.82  % --bmc1_k_induction                    false
% 0.63/0.82  % --bmc1_non_equiv_states               false
% 0.63/0.82  % --bmc1_deadlock                       false
% 0.63/0.82  % --bmc1_ucm                            false
% 0.63/0.82  % --bmc1_add_unsat_core                 none
% 0.63/0.82  % --bmc1_unsat_core_children            false
% 0.63/0.82  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.63/0.82  % --bmc1_out_stat                       full
% 0.63/0.82  % --bmc1_ground_init                    false
% 0.63/0.82  % --bmc1_pre_inst_next_state            false
% 0.63/0.82  % --bmc1_pre_inst_state                 false
% 0.63/0.82  % --bmc1_pre_inst_reach_state           false
% 0.63/0.82  % --bmc1_out_unsat_core                 false
% 0.63/0.82  % --bmc1_aig_witness_out                false
% 0.63/0.82  % --bmc1_verbose                        false
% 0.63/0.82  % --bmc1_dump_clauses_tptp              false
% 6.83/7.18  % --bmc1_dump_unsat_core_tptp           false
% 6.83/7.18  % --bmc1_dump_file                      -
% 6.83/7.18  % --bmc1_ucm_expand_uc_limit            128
% 6.83/7.18  % --bmc1_ucm_n_expand_iterations        6
% 6.83/7.18  % --bmc1_ucm_extend_mode                1
% 6.83/7.18  % --bmc1_ucm_init_mode                  2
% 6.83/7.18  % --bmc1_ucm_cone_mode                  none
% 6.83/7.18  % --bmc1_ucm_reduced_relation_type      0
% 6.83/7.18  % --bmc1_ucm_relax_model                4
% 6.83/7.18  % --bmc1_ucm_full_tr_after_sat          true
% 6.83/7.18  % --bmc1_ucm_expand_neg_assumptions     false
% 6.83/7.18  % --bmc1_ucm_layered_model              none
% 6.83/7.18  % --bmc1_ucm_max_lemma_size             10
% 6.83/7.18  
% 6.83/7.18  % ------ AIG Options
% 6.83/7.18  
% 6.83/7.18  % --aig_mode                            false
% 6.83/7.18  
% 6.83/7.18  % ------ Instantiation Options
% 6.83/7.18  
% 6.83/7.18  % --instantiation_flag                  true
% 6.83/7.18  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 6.83/7.18  % --inst_solver_per_active              750
% 6.83/7.18  % --inst_solver_calls_frac              0.5
% 6.83/7.18  % --inst_passive_queue_type             priority_queues
% 6.83/7.18  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.83/7.18  % --inst_passive_queues_freq            [25;2]
% 6.83/7.18  % --inst_dismatching                    true
% 6.83/7.18  % --inst_eager_unprocessed_to_passive   true
% 6.83/7.18  % --inst_prop_sim_given                 true
% 6.83/7.18  % --inst_prop_sim_new                   false
% 6.83/7.18  % --inst_orphan_elimination             true
% 6.83/7.18  % --inst_learning_loop_flag             true
% 6.83/7.18  % --inst_learning_start                 3000
% 6.83/7.18  % --inst_learning_factor                2
% 6.83/7.18  % --inst_start_prop_sim_after_learn     3
% 6.83/7.18  % --inst_sel_renew                      solver
% 6.83/7.18  % --inst_lit_activity_flag              true
% 6.83/7.18  % --inst_out_proof                      true
% 6.83/7.18  
% 6.83/7.18  % ------ Resolution Options
% 6.83/7.18  
% 6.83/7.18  % --resolution_flag                     true
% 6.83/7.18  % --res_lit_sel                         kbo_max
% 6.83/7.18  % --res_to_prop_solver                  none
% 6.83/7.18  % --res_prop_simpl_new                  false
% 6.83/7.18  % --res_prop_simpl_given                false
% 6.83/7.18  % --res_passive_queue_type              priority_queues
% 6.83/7.18  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.83/7.18  % --res_passive_queues_freq             [15;5]
% 6.83/7.18  % --res_forward_subs                    full
% 6.83/7.18  % --res_backward_subs                   full
% 6.83/7.18  % --res_forward_subs_resolution         true
% 6.83/7.18  % --res_backward_subs_resolution        true
% 6.83/7.18  % --res_orphan_elimination              false
% 6.83/7.18  % --res_time_limit                      1000.
% 6.83/7.18  % --res_out_proof                       true
% 6.83/7.18  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_bff132.s
% 6.83/7.18  % --modulo                              true
% 6.83/7.18  
% 6.83/7.18  % ------ Combination Options
% 6.83/7.18  
% 6.83/7.18  % --comb_res_mult                       1000
% 6.83/7.18  % --comb_inst_mult                      300
% 6.83/7.18  % ------ 
% 6.83/7.18  
% 6.83/7.18  % ------ Parsing...% successful
% 6.83/7.18  
% 6.83/7.18  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 6.83/7.18  
% 6.83/7.18  % ------ Proving...
% 6.83/7.18  % ------ Problem Properties 
% 6.83/7.18  
% 6.83/7.18  % 
% 6.83/7.18  % EPR                                   false
% 6.83/7.18  % Horn                                  false
% 6.83/7.18  % Has equality                          true
% 6.83/7.18  
% 6.83/7.18  % % ------ Input Options Time Limit: Unbounded
% 6.83/7.18  
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% 37.31/36.64  % % ------ Current options:
% 37.31/36.64  
% 37.31/36.64  % ------ Input Options
% 37.31/36.64  
% 37.31/36.64  % --out_options                         all
% 37.31/36.64  % --tptp_safe_out                       true
% 37.31/36.64  % --problem_path                        ""
% 37.31/36.64  % --include_path                        ""
% 37.31/36.64  % --clausifier                          .//eprover
% 37.31/36.64  % --clausifier_options                  --tstp-format  
% 37.31/36.64  % --stdin                               false
% 37.31/36.64  % --dbg_backtrace                       false
% 37.31/36.64  % --dbg_dump_prop_clauses               false
% 37.31/36.64  % --dbg_dump_prop_clauses_file          -
% 37.31/36.64  % --dbg_out_stat                        false
% 37.31/36.64  
% 37.31/36.64  % ------ General Options
% 37.31/36.64  
% 37.31/36.64  % --fof                                 false
% 37.31/36.64  % --time_out_real                       150.
% 37.31/36.64  % --time_out_prep_mult                  0.2
% 37.31/36.64  % --time_out_virtual                    -1.
% 37.31/36.64  % --schedule                            none
% 37.31/36.64  % --ground_splitting                    input
% 37.31/36.64  % --splitting_nvd                       16
% 37.31/36.64  % --non_eq_to_eq                        false
% 37.31/36.64  % --prep_gs_sim                         true
% 37.31/36.64  % --prep_unflatten                      false
% 37.31/36.64  % --prep_res_sim                        true
% 37.31/36.64  % --prep_upred                          true
% 37.31/36.64  % --res_sim_input                       true
% 37.31/36.64  % --clause_weak_htbl                    true
% 37.31/36.64  % --gc_record_bc_elim                   false
% 37.31/36.64  % --symbol_type_check                   false
% 37.31/36.64  % --clausify_out                        false
% 37.31/36.64  % --large_theory_mode                   false
% 37.31/36.64  % --prep_sem_filter                     none
% 37.31/36.64  % --prep_sem_filter_out                 false
% 37.31/36.64  % --preprocessed_out                    false
% 37.31/36.64  % --sub_typing                          false
% 37.31/36.64  % --brand_transform                     false
% 37.31/36.64  % --pure_diseq_elim                     true
% 37.31/36.64  % --min_unsat_core                      false
% 37.31/36.64  % --pred_elim                           true
% 37.31/36.64  % --add_important_lit                   false
% 37.31/36.64  % --soft_assumptions                    false
% 37.31/36.64  % --reset_solvers                       false
% 37.31/36.64  % --bc_imp_inh                          []
% 37.31/36.64  % --conj_cone_tolerance                 1.5
% 37.31/36.64  % --prolific_symb_bound                 500
% 37.31/36.64  % --lt_threshold                        2000
% 37.31/36.64  
% 37.31/36.64  % ------ SAT Options
% 37.31/36.64  
% 37.31/36.64  % --sat_mode                            false
% 37.31/36.64  % --sat_fm_restart_options              ""
% 37.31/36.64  % --sat_gr_def                          false
% 37.31/36.64  % --sat_epr_types                       true
% 37.31/36.64  % --sat_non_cyclic_types                false
% 37.31/36.64  % --sat_finite_models                   false
% 37.31/36.64  % --sat_fm_lemmas                       false
% 37.31/36.64  % --sat_fm_prep                         false
% 37.31/36.64  % --sat_fm_uc_incr                      true
% 37.31/36.64  % --sat_out_model                       small
% 37.31/36.64  % --sat_out_clauses                     false
% 37.31/36.64  
% 37.31/36.64  % ------ QBF Options
% 37.31/36.64  
% 37.31/36.64  % --qbf_mode                            false
% 37.31/36.64  % --qbf_elim_univ                       true
% 37.31/36.64  % --qbf_sk_in                           true
% 37.31/36.64  % --qbf_pred_elim                       true
% 37.31/36.64  % --qbf_split                           32
% 37.31/36.64  
% 37.31/36.64  % ------ BMC1 Options
% 37.31/36.64  
% 37.31/36.64  % --bmc1_incremental                    false
% 37.31/36.64  % --bmc1_axioms                         reachable_all
% 37.31/36.64  % --bmc1_min_bound                      0
% 37.31/36.64  % --bmc1_max_bound                      -1
% 43.72/43.06  % --bmc1_max_bound_default              -1
% 43.72/43.06  % --bmc1_symbol_reachability            true
% 43.72/43.06  % --bmc1_property_lemmas                false
% 43.72/43.06  % --bmc1_k_induction                    false
% 43.72/43.06  % --bmc1_non_equiv_states               false
% 43.72/43.06  % --bmc1_deadlock                       false
% 43.72/43.06  % --bmc1_ucm                            false
% 43.72/43.06  % --bmc1_add_unsat_core                 none
% 43.72/43.06  % --bmc1_unsat_core_children            false
% 43.72/43.06  % --bmc1_unsat_core_extrapolate_axioms  false
% 43.72/43.06  % --bmc1_out_stat                       full
% 43.72/43.06  % --bmc1_ground_init                    false
% 43.72/43.06  % --bmc1_pre_inst_next_state            false
% 43.72/43.06  % --bmc1_pre_inst_state                 false
% 43.72/43.06  % --bmc1_pre_inst_reach_state           false
% 43.72/43.06  % --bmc1_out_unsat_core                 false
% 43.72/43.06  % --bmc1_aig_witness_out                false
% 43.72/43.06  % --bmc1_verbose                        false
% 43.72/43.06  % --bmc1_dump_clauses_tptp              false
% 43.72/43.06  % --bmc1_dump_unsat_core_tptp           false
% 43.72/43.06  % --bmc1_dump_file                      -
% 43.72/43.06  % --bmc1_ucm_expand_uc_limit            128
% 43.72/43.06  % --bmc1_ucm_n_expand_iterations        6
% 43.72/43.06  % --bmc1_ucm_extend_mode                1
% 43.72/43.06  % --bmc1_ucm_init_mode                  2
% 43.72/43.06  % --bmc1_ucm_cone_mode                  none
% 43.72/43.06  % --bmc1_ucm_reduced_relation_type      0
% 43.72/43.06  % --bmc1_ucm_relax_model                4
% 43.72/43.06  % --bmc1_ucm_full_tr_after_sat          true
% 43.72/43.06  % --bmc1_ucm_expand_neg_assumptions     false
% 43.72/43.06  % --bmc1_ucm_layered_model              none
% 43.72/43.06  % --bmc1_ucm_max_lemma_size             10
% 43.72/43.06  
% 43.72/43.06  % ------ AIG Options
% 43.72/43.06  
% 43.72/43.06  % --aig_mode                            false
% 43.72/43.06  
% 43.72/43.06  % ------ Instantiation Options
% 43.72/43.06  
% 43.72/43.06  % --instantiation_flag                  true
% 43.72/43.06  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 43.72/43.06  % --inst_solver_per_active              750
% 43.72/43.06  % --inst_solver_calls_frac              0.5
% 43.72/43.06  % --inst_passive_queue_type             priority_queues
% 43.72/43.06  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 43.72/43.06  % --inst_passive_queues_freq            [25;2]
% 43.72/43.06  % --inst_dismatching                    true
% 43.72/43.06  % --inst_eager_unprocessed_to_passive   true
% 43.72/43.06  % --inst_prop_sim_given                 true
% 43.72/43.06  % --inst_prop_sim_new                   false
% 43.72/43.06  % --inst_orphan_elimination             true
% 43.72/43.06  % --inst_learning_loop_flag             true
% 43.72/43.06  % --inst_learning_start                 3000
% 43.72/43.06  % --inst_learning_factor                2
% 43.72/43.06  % --inst_start_prop_sim_after_learn     3
% 43.72/43.06  % --inst_sel_renew                      solver
% 43.72/43.06  % --inst_lit_activity_flag              true
% 43.72/43.06  % --inst_out_proof                      true
% 43.72/43.06  
% 43.72/43.06  % ------ Resolution Options
% 43.72/43.06  
% 43.72/43.06  % --resolution_flag                     true
% 43.72/43.06  % --res_lit_sel                         kbo_max
% 43.72/43.06  % --res_to_prop_solver                  none
% 43.72/43.06  % --res_prop_simpl_new                  false
% 43.72/43.06  % --res_prop_simpl_given                false
% 43.72/43.06  % --res_passive_queue_type              priority_queues
% 43.72/43.06  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 43.72/43.06  % --res_passive_queues_freq             [15;5]
% 43.72/43.06  % --res_forward_subs                    full
% 43.72/43.06  % --res_backward_subs                   full
% 43.72/43.06  % --res_forward_subs_resolution         true
% 43.72/43.06  % --res_backward_subs_resolution        true
% 43.72/43.06  % --res_orphan_elimination              false
% 43.72/43.06  % --res_time_limit                      1000.
% 43.72/43.06  % --res_out_proof                       true
% 43.72/43.06  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_bff132.s
% 43.72/43.06  % --modulo                              true
% 43.72/43.06  
% 43.72/43.06  % ------ Combination Options
% 43.72/43.06  
% 43.72/43.06  % --comb_res_mult                       1000
% 43.72/43.06  % --comb_inst_mult                      300
% 43.72/43.06  % ------ 
% 43.72/43.06  
% 43.72/43.06  
% 43.72/43.06  
% 43.72/43.06  % ------ Proving...
% 43.72/43.06  % 
% 43.72/43.06  
% 43.72/43.06  
% 43.72/43.06  % ------                             Statistics
% 43.72/43.06  
% 43.72/43.06  % ------ General
% 43.72/43.06  
% 43.72/43.06  % num_of_input_clauses:                 6420
% 43.72/43.06  % num_of_input_neg_conjectures:         9
% 43.72/43.06  % num_of_splits:                        0
% 43.72/43.06  % num_of_split_atoms:                   0
% 43.72/43.06  % num_of_sem_filtered_clauses:          0
% 43.72/43.06  % num_of_subtypes:                      0
% 43.72/43.06  % monotx_restored_types:                0
% 43.72/43.06  % sat_num_of_epr_types:                 0
% 43.72/43.06  % sat_num_of_non_cyclic_types:          0
% 43.72/43.06  % sat_guarded_non_collapsed_types:      0
% 43.72/43.06  % is_epr:                               0
% 43.72/43.06  % is_horn:                              0
% 43.72/43.06  % has_eq:                               1
% 43.72/43.06  % num_pure_diseq_elim:                  0
% 43.72/43.06  % simp_replaced_by:                     0
% 43.72/43.06  % res_preprocessed:                     18
% 43.72/43.06  % prep_upred:                           0
% 43.72/43.06  % prep_unflattend:                      0
% 43.72/43.06  % pred_elim_cands:                      0
% 43.72/43.06  % pred_elim:                            0
% 43.72/43.06  % pred_elim_cl:                         0
% 43.72/43.06  % pred_elim_cycles:                     0
% 43.72/43.06  % forced_gc_time:                       0
% 43.72/43.06  % gc_basic_clause_elim:                 0
% 43.72/43.06  % parsing_time:                         0.185
% 43.72/43.06  % sem_filter_time:                      0.
% 43.72/43.06  % pred_elim_time:                       0.
% 43.72/43.06  % out_proof_time:                       0.002
% 43.72/43.06  % monotx_time:                          0.
% 43.72/43.06  % subtype_inf_time:                     0.
% 43.72/43.06  % unif_index_cands_time:                0.032
% 43.72/43.06  % unif_index_add_time:                  0.018
% 43.72/43.06  % total_time:                           42.244
% 43.72/43.06  % num_of_symbols:                       393
% 43.72/43.06  % num_of_terms:                         312280
% 43.72/43.06  
% 43.72/43.06  % ------ Propositional Solver
% 43.72/43.06  
% 43.72/43.06  % prop_solver_calls:                    6
% 43.72/43.06  % prop_fast_solver_calls:               27
% 43.72/43.06  % prop_num_of_clauses:                  16701
% 43.72/43.06  % prop_preprocess_simplified:           41998
% 43.72/43.06  % prop_fo_subsumed:                     0
% 43.72/43.06  % prop_solver_time:                     0.004
% 43.72/43.06  % prop_fast_solver_time:                0.
% 43.72/43.06  % prop_unsat_core_time:                 0.001
% 43.72/43.06  
% 43.72/43.06  % ------ QBF 
% 43.72/43.06  
% 43.72/43.06  % qbf_q_res:                            0
% 43.72/43.06  % qbf_num_tautologies:                  0
% 43.72/43.06  % qbf_prep_cycles:                      0
% 43.72/43.06  
% 43.72/43.06  % ------ BMC1
% 43.72/43.06  
% 43.72/43.06  % bmc1_current_bound:                   -1
% 43.72/43.06  % bmc1_last_solved_bound:               -1
% 43.72/43.06  % bmc1_unsat_core_size:                 -1
% 43.72/43.06  % bmc1_unsat_core_parents_size:         -1
% 43.72/43.06  % bmc1_merge_next_fun:                  0
% 43.72/43.06  % bmc1_unsat_core_clauses_time:         0.
% 43.72/43.06  
% 43.72/43.06  % ------ Instantiation
% 43.72/43.06  
% 43.72/43.06  % inst_num_of_clauses:                  11542
% 43.72/43.06  % inst_num_in_passive:                  10358
% 43.72/43.06  % inst_num_in_active:                   1157
% 43.72/43.06  % inst_num_in_unprocessed:              25
% 43.72/43.06  % inst_num_of_loops:                    1190
% 43.72/43.06  % inst_num_of_learning_restarts:        0
% 43.72/43.06  % inst_num_moves_active_passive:        31
% 43.72/43.06  % inst_lit_activity:                    2178
% 43.72/43.06  % inst_lit_activity_moves:              1
% 43.72/43.06  % inst_num_tautologies:                 0
% 43.72/43.06  % inst_num_prop_implied:                0
% 43.72/43.06  % inst_num_existing_simplified:         0
% 43.72/43.06  % inst_num_eq_res_simplified:           0
% 43.72/43.06  % inst_num_child_elim:                  0
% 43.72/43.06  % inst_num_of_dismatching_blockings:    1294
% 43.72/43.06  % inst_num_of_non_proper_insts:         3713
% 43.72/43.06  % inst_num_of_duplicates:               6315
% 43.72/43.06  % inst_inst_num_from_inst_to_res:       0
% 43.72/43.06  % inst_dismatching_checking_time:       0.027
% 43.72/43.06  
% 43.72/43.06  % ------ Resolution
% 43.72/43.06  
% 43.72/43.06  % res_num_of_clauses:                   94264
% 43.72/43.06  % res_num_in_passive:                   84817
% 43.72/43.06  % res_num_in_active:                    5494
% 43.72/43.06  % res_num_of_loops:                     4000
% 43.72/43.06  % res_forward_subset_subsumed:          5548
% 43.72/43.06  % res_backward_subset_subsumed:         234
% 43.72/43.06  % res_forward_subsumed:                 1037
% 43.72/43.06  % res_backward_subsumed:                4
% 43.72/43.06  % res_forward_subsumption_resolution:   16
% 43.72/43.06  % res_backward_subsumption_resolution:  0
% 43.72/43.06  % res_clause_to_clause_subsumption:     20361
% 43.72/43.06  % res_orphan_elimination:               0
% 43.72/43.06  % res_tautology_del:                    53
% 43.72/43.06  % res_num_eq_res_simplified:            0
% 43.72/43.06  % res_num_sel_changes:                  0
% 43.72/43.06  % res_moves_from_active_to_pass:        0
% 43.72/43.06  
% 43.72/43.06  % Status Unsatisfiable
% 43.72/43.06  % SZS status Unsatisfiable
% 43.72/43.06  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------